OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Sum(Ṽ_0)~LINK:~/wiki/Augmented_cognition~WIKIEQUATION:~{\displaystyle \sum _{k=1}^{N}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Sum(Ṽ_0)~LINK:~/wiki/Augmented_cognition~WIKIEQUATION:~{\displaystyle \sum _{k=1}^{M}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'sum': 1}, 'operators': {}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_1*Sum(Ṽ_0)~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle F_{tc}(t)=\sum _{i=1}^{n}e^{\left({\frac {(\mu _{tc}-p_{i}(t))^{2}}{2X\sigma }}\right)}}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0 - Ṽ_1~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle \tau {\frac {\delta u_{1,2}(t)}{\delta t}}=-u_{1,2}+i_{1,2}+w_{+}f(u_{1,2}(t))-w_{-}f(u_{2,1}(t))}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*customfunc(Ṽ_2) - Ṽ_1~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle \tau {\frac {\delta v_{1,2}(t)}{\delta t}}=-v_{1,2}(t)+w_{m,n}u(t)}
OPERATIONS:~{'-': 1, '*': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {'*': 1, '-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_1*Ṽ_2*(Ṽ_0 - Ṽ_2)~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle \nu _{\psi }(t)={\frac {R_{\psi }(t)-{\bar {R}}}{\bar {R}}}}
OPERATIONS:~{'**': 2, '*': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'**': 2}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_2**Ṽ_0*Ṽ_2**Ṽ_1~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle g^{f},g^{b}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 0}, 'functions': {'sum': 1}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*Sum(Ṽ_1)**2*customfunc(Ṽ_2)~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle r_{\psi }(\tau )=\sum _{t=0ms}^{\tau }\sum _{p=1}^{100}g_{\tau ,\psi }(t,p)\cdot \nu _{\psi }(t)}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {'sum': 1}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {'*': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_2*Sum(Ṽ_2)**2*customfunc(C̈_1)*customfunc(Ṽ_3)**2~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle N_{\psi }(\tau )=\max \left[\left({\frac {r_{\psi }(\tau )}{\sum _{t}\sum _{p}g_{\tau ,\psi }(t,p)^{2}}}\right),0\right]}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)**2~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle G_{p}(x)=H(v(x),v_{1},v_{2})\cdot b(\theta ,\theta _{p})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle H(v,v_{1},v_{2})=1}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle H(v,v_{1},v_{2})=0}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {'max': 1}, 'operators': {}}, 'max': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {}}, 'sqrt': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~sqrt(max(customfunc(Ṽ_0))**2)~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle o_{l}(x)={\sqrt {max(g_{p}(x_{i}))max(g_{r}(x_{j}))}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, 'max': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~max(customfunc(Ṽ_0))~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle o_{l}(x)=max(o_{l}(x_{k}))}
OPERATIONS:~{'-': 2, '*': 2, '+': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '*': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 2, 'sum': 1}, 'operators': {'*': 1}}, '+': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'+': 1, '-': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 6}~EQUATION:~-Ṽ_0 + Sum(Ṽ_4)*customfunc(Ṽ_0 + Ṽ_1)*customfunc(-Ṽ_2 + Ṽ_3)~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle \tau H_{k}^{l}(t)=-H_{k}^{l}(t)+\sum _{m}w(k-m)f(H_{k}^{l}(t)+G_{k}^{l}(t))}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle f(H)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle w(m)}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'sum': 1}, 'operators': {}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Sum(Ṽ_2) - Ṽ_1~LINK:~/wiki/Biological_motion_perception~WIKIEQUATION:~{\displaystyle \tau _{s}P^{l}(t)=-P^{l}(t)+\sum _{k}H_{l}^{l}(t)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Cue_validity~WIKIEQUATION:~{\displaystyle p(c_{j}|f_{i})\ }
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 2}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~-customfunc(Ṽ_0) + customfunc(Ṽ_1)~LINK:~/wiki/Cue_validity~WIKIEQUATION:~{\displaystyle p(c_{j}|f_{i})-p(c_{j})\ }
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Information_integration_theory~WIKIEQUATION:~{\displaystyle V(S)}
OPERATIONS:~{'+': 1}~CONDITIONAL_OPERATIONS:~{'+': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0 + Ṽ_1~LINK:~/wiki/Information_integration_theory~WIKIEQUATION:~{\displaystyle y=ax+b}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Information_integration_theory~WIKIEQUATION:~{\displaystyle R=M(r)}
OPERATIONS:~{'+': 1}~CONDITIONAL_OPERATIONS:~{'+': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0 + Ṽ_1~LINK:~/wiki/Information_integration_theory~WIKIEQUATION:~{\displaystyle R_{1}=F_{1}+G_{1}}
OPERATIONS:~{'+': 1}~CONDITIONAL_OPERATIONS:~{'+': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0 + Ṽ_1~LINK:~/wiki/Information_integration_theory~WIKIEQUATION:~{\displaystyle R_{2}=F_{2}+G_{2}}
OPERATIONS:~{'**': 1, '*': 2, '+': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {'*': 1, '**': 1}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 5}~EQUATION:~Ṽ_1*Ṽ_2**Ṽ_0*Ṽ_4 + Ṽ_3~LINK:~/wiki/Mental_chronometry~WIKIEQUATION:~{\displaystyle RT={\frac {a}{i^{n}}}+k}
OPERATIONS:~{'*': 2, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {'log': 1}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, 'log': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_0*log(Ṽ_2*Ṽ_3) + Ṽ_1~LINK:~/wiki/Mental_chronometry~WIKIEQUATION:~{\displaystyle RT=a+b\log {\frac {1}{p}},}
OPERATIONS:~{'*': 1, '+': 2, '/': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'log': 1}, 'operators': {}}, '+': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'/': 1}}, '/': {'features': {'constants': 0, 'variables': 0}, 'functions': {'log': 1}, 'operators': {'*': 1}}, 'log': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'+': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 4}~EQUATION:~Ṽ_1*log(Ṽ_0 + 1)/log(Ṽ_3) + Ṽ_2~LINK:~/wiki/Mental_chronometry~WIKIEQUATION:~{\displaystyle RT=a+b\log _{2}(n+1)}
OPERATIONS:~{'+': 1}~CONDITIONAL_OPERATIONS:~{'+': {'features': {'constants': 0, 'variables': 1}, 'functions': {'log': 1}, 'operators': {}}, 'log': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_1 + log(Ṽ_0)~LINK:~/wiki/Mental_chronometry~WIKIEQUATION:~{\displaystyle MRT=K+\log N}
OPERATIONS:~{'+': 1}~CONDITIONAL_OPERATIONS:~{'+': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~Ṽ_0 + 1~LINK:~/wiki/Mental_chronometry~WIKIEQUATION:~{\displaystyle n+1}
OPERATIONS:~{'+': 1, '/': 1}~CONDITIONAL_OPERATIONS:~{'+': {'features': {'constants': 0, 'variables': 0}, 'functions': {'sqrt': 1}, 'operators': {'/': 1}}, '/': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, 'sqrt': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~sqrt(Ṽ_0) + Ṽ_0/2~LINK:~/wiki/ABX_test~WIKIEQUATION:~{\displaystyle N/2+{\sqrt {N}}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2~LINK:~/wiki/Adaptive_comparative_judgement~WIKIEQUATION:~{\displaystyle \mathrm {log\;odds} (A\ {\text{beats}}\ B\mid v_{a},v_{b})=v_{a}-v_{b}}
OPERATIONS:~{'*': 3}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {'customfunc': 2}, 'operators': {'*': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~C̈_0*Ṽ_1*customfunc(Ṽ_1)*customfunc(Ṽ_2)~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle p(H1|y)={\frac {p(y|H1)\cdot \pi _{1}}{p(y)}}}
OPERATIONS:~{'*': 3}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {'customfunc': 2}, 'operators': {'*': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~C̈_0*Ṽ_1*customfunc(Ṽ_1)*customfunc(Ṽ_2)~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle p(H2|y)={\frac {p(y|H2)\cdot \pi _{2}}{p(y)}}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~2*C̈_0*customfunc(Ṽ_1)~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle p(y|H1)\cdot \pi _{1}+p(y|H2)\cdot \pi _{2}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~2*C̈_0**2*Ṽ_1*customfunc(Ṽ_1)**2~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle {\frac {p(y|H2)\cdot \pi _{2}}{p(y|H1)\cdot \pi _{1}+p(y|H2)\cdot \pi _{2}}}\geq {\frac {p(y|H1)\cdot \pi _{1}}{p(y|H1)\cdot \pi _{1}+p(y|H2)\cdot \pi _{2}}}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~2*C̈_0**2*Ṽ_1*customfunc(Ṽ_1)**2~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle {\frac {p(y|H2)\cdot \pi _{2}}{p(y|H1)\cdot \pi _{1}+p(y|H2)\cdot \pi _{2}}}\geq {\frac {p(y|H1)\cdot \pi _{1}}{p(y|H1)\cdot \pi _{1}+p(y|H2)\cdot \pi _{2}}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~C̈_0**2*Ṽ_1~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle \Rightarrow {\frac {p(y|H2)}{p(y|H1)}}\geq {\frac {\pi _{1}}{\pi _{2}}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~C̈_0**2*Ṽ_1~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle {\frac {\pi _{1}}{\pi _{2}}}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*customfunc(Ṽ_0)**2~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle {\frac {p(y|H2)}{p(y|H1)}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle L(y)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle L(y)\geq \tau _{MAP}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~4*Ṽ_0*Ṽ_1~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle E\{U\}=P_{11}\cdot U_{11}+P_{21}\cdot U_{21}+P_{12}\cdot U_{12}+P_{22}\cdot U_{22}}
OPERATIONS:~{'-': 1, '*': 4, '+': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 2, 'variables': 3}, 'functions': {}, 'operators': {'*': 2, '-': 1}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 2}}}~SYMBOLS:~{'constants': 3, 'variables': 4}~EQUATION:~2*Ṽ_0*Ṽ_1 + 2*Ṽ_0*(1 - Ṽ_1)~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle E\{U\}=P_{11}\cdot U_{11}+(1-P_{11})\cdot U_{21}+P_{12}\cdot U_{12}+(1-P_{12})\cdot U_{22}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~2*Ṽ_1~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle E\{U\}=U_{21}+U_{22}+P_{11}\cdot (U_{11}-U_{21})-P_{12}\cdot (U_{22}-U_{12})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle P(H1)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Detection_theory~WIKIEQUATION:~{\displaystyle P(H2)}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~1/3~LINK:~/wiki/Discrimination_testing~WIKIEQUATION:~{\displaystyle p=1/3}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'sqrt': 1}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {'-': 1}}, 'sqrt': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~Ṽ_1*sqrt(-C̈_0**2*Ṽ_1 + 2*C̈_0**2)~LINK:~/wiki/Law_of_comparative_judgment~WIKIEQUATION:~{\displaystyle S_{i}-S_{j}=x_{ij}{\sqrt {\sigma _{i}^{2}+\sigma _{j}^{2}-2r_{ij}\sigma _{i}\sigma _{j}}},}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 0}, 'functions': {'sqrt': 2}, 'operators': {}}, '**2': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}, 'sqrt': {'features': {'constants': 1, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~sqrt(2)*sqrt(C̈_0**2)~LINK:~/wiki/Law_of_comparative_judgment~WIKIEQUATION:~{\displaystyle {\sigma }={\sqrt {\sigma _{i}^{2}+\sigma _{j}^{2}}}.\,}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Stevens%27s_power_law~WIKIEQUATION:~{\displaystyle \psi (I)=kI^{a},}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle N(\mu _{a},\sigma _{a})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle N(\mu _{b},\sigma _{b})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle x_{1},x_{2}}
OPERATIONS:~{'*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~Ṽ_0*customfunc(0) + Ṽ_0~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle dx=Adt+cdW\ ,\ x(0)=0}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~customfunc(0)~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle x(0)}
OPERATIONS:~{'*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~C̈_0*Ṽ_1 + Ṽ_2~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle dx\ =\ (\lambda x+A)dt\ +\ cdW}
OPERATIONS:~{'*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0 + Ṽ_1*Ṽ_2~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle {\begin{aligned}dy_{\text{1}}\ =\ I_{\text{1}}dt\ +\ cdW_{\text{1}}\\dy_{\text{2}}\ =\ I_{\text{2}}dt\ +\ cdW_{\text{2}}\end{aligned}},\quad y_{\text{1}}(0)\ =\ y_{\text{2}}(0)=0}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_2**2 + Ṽ_1*Ṽ_2~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle {\begin{aligned}dy_{\text{1}}\ =\ I_{\text{1}}dt\ +\ cdW_{\text{1}}\\dy_{\text{2}}\ =\ I_{\text{2}}dt\ +\ cdW_{\text{2}}\end{aligned}},\quad y_{\text{1}}(0)\ =\ y_{\text{2}}(0)=0}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~-2*Ṽ_0 + Ṽ_1~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle {\begin{aligned}dy_{\text{1}}\ =\ (-ky_{\text{1}}-wy_{\text{2}}+I_{\text{1}})dt\ +\ cdW_{\text{1}}\\dy_{\text{2}}\ =\ (-ky_{\text{2}}-wy_{\text{1}}+I_{\text{2}})dt\ +\ cdW_{\text{2}}\end{aligned}},\quad y_{\text{1}}(0)\ =\ y_{\text{2}}(0)=0}
OPERATIONS:~{'-': 1, '*': 2, '+': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'+': 1}}, '*': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {'*': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'+': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 6}~EQUATION:~Ṽ_0*Ṽ_2 + Ṽ_1 - customfunc(Ṽ_0*Ṽ_2 + Ṽ_1)~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle {\begin{aligned}dy_{\text{1}}\ =\ I_{\text{1}}dt\ +\ cdW_{\text{1}}\ -\ u(I_{\text{2}}dt\ +\ cdW_{\text{2}})\\dy_{\text{2}}\ =\ I_{\text{2}}dt\ +\ cdW_{\text{2}}\ -\ u(I_{\text{1}}dt\ +\ cdW_{\text{1}})\end{aligned}},\quad y_{\text{1}}(0)\ =\ y_{\text{2}}(0)=0}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~-Ṽ_0 + Ṽ_1~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle {\begin{aligned}dy_{\text{1}}\ =\ (-ky_{\text{1}}-wy_{\text{3}}+vy_{\text{1}}+I_{\text{1}})dt\ +\ cdW_{\text{1}}\\dy_{\text{2}}\ =\ (-ky_{\text{2}}-wy_{\text{3}}+vy_{\text{2}}+I_{\text{2}})dt\ +\ cdW_{\text{2}}\\dy_{\text{3}}\ =\ (-k_{\text{inh}}y_{\text{3}}+w'(y_{\text{1}}+y_{\text{2}}))dt\end{aligned}}}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~-Ṽ_0 + Ṽ_1~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle {\begin{aligned}dy_{\text{1}}\ =\ (-ky_{\text{1}}-wy_{\text{3}}+vy_{\text{1}}+I_{\text{1}})dt\ +\ cdW_{\text{1}}\\dy_{\text{2}}\ =\ (-ky_{\text{2}}-wy_{\text{3}}+vy_{\text{2}}+I_{\text{2}})dt\ +\ cdW_{\text{2}}\\dy_{\text{3}}\ =\ (-k_{\text{inh}}y_{\text{3}}+w'(y_{\text{1}}+y_{\text{2}}))dt\end{aligned}}}
OPERATIONS:~{'-': 1, '*': 2, '+': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'-': 1}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 3}~EQUATION:~-Ṽ_0*Ṽ_1 + customfunc(2*Ṽ_0)~LINK:~/wiki/Two-alternative_forced_choice~WIKIEQUATION:~{\displaystyle {\begin{aligned}dy_{\text{1}}\ =\ (-ky_{\text{1}}-wy_{\text{3}}+vy_{\text{1}}+I_{\text{1}})dt\ +\ cdW_{\text{1}}\\dy_{\text{2}}\ =\ (-ky_{\text{2}}-wy_{\text{3}}+vy_{\text{2}}+I_{\text{2}})dt\ +\ cdW_{\text{2}}\\dy_{\text{3}}\ =\ (-k_{\text{inh}}y_{\text{3}}+w'(y_{\text{1}}+y_{\text{2}}))dt\end{aligned}}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Weber%E2%80%93Fechner_law~WIKIEQUATION:~{\displaystyle dS=K\cdot S}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**2*Ṽ_1~LINK:~/wiki/Weber%E2%80%93Fechner_law~WIKIEQUATION:~{\displaystyle dp={\frac {dS}{S}}\,\!}
OPERATIONS:~{'*': 3}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {'*': 2}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2**2*Ṽ_3~LINK:~/wiki/Weber%E2%80%93Fechner_law~WIKIEQUATION:~{\displaystyle p=k\ln {\frac {S}{S_{0}}}\,\!}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_1**2*Ṽ_2~LINK:~/wiki/Weber%E2%80%93Fechner_law~WIKIEQUATION:~{\displaystyle dp=k{\frac {dS}{S}}}
OPERATIONS:~{'*': 2, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_3 + Ṽ_2~LINK:~/wiki/Weber%E2%80%93Fechner_law~WIKIEQUATION:~{\displaystyle p=k\ln {S}+C}
OPERATIONS:~{'-': 1, '*': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {'*': 1, '-': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~-Ṽ_0*Ṽ_1*Ṽ_2~LINK:~/wiki/Weber%E2%80%93Fechner_law~WIKIEQUATION:~{\displaystyle C=-k\ln {S_{0}}}
OPERATIONS:~{'*': 3}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {'*': 2}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2**2*Ṽ_3~LINK:~/wiki/Weber%E2%80%93Fechner_law~WIKIEQUATION:~{\displaystyle p=k\ln {\frac {S}{S_{0}}}}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0/Ṽ_1~LINK:~/wiki/Weber%E2%80%93Fechner_law~WIKIEQUATION:~{\displaystyle C=\Delta B/B}
OPERATIONS:~{'+': 1}~CONDITIONAL_OPERATIONS:~{'+': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0 + Ṽ_1~LINK:~/wiki/Weber%E2%80%93Fechner_law~WIKIEQUATION:~{\displaystyle B+const.}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0/Ṽ_1~LINK:~/wiki/Weber%E2%80%93Fechner_law~WIKIEQUATION:~{\displaystyle C=\Delta B/B}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_1**3*(-Ṽ_0 + Ṽ_2 - 1)*Sum(Ṽ_1)~LINK:~/wiki/Accommodation_index~WIKIEQUATION:~{\displaystyle A={\frac {1}{N-k-1}}\displaystyle \sum _{i=k}^{N}{\frac {(\operatorname {isi} _{i}-\operatorname {isi} _{i-1})}{(\operatorname {isi} _{i}+\operatorname {isi} _{i-1})}}}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 0}, 'functions': {'sum': 1}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'-': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~-Sum(Ṽ_0)*customfunc(Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle C_{\mathrm {m} }{\frac {dV(t)}{dt}}=-\sum _{i}I_{i}(t,V).}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle I(t,V)=g(t,V)\cdot (V-V_{\mathrm {eq} })}
OPERATIONS:~{'**': 2, '*': 2}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {'customfunc': 2}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1, '**': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 5}~EQUATION:~Ṽ_1*customfunc(Ṽ_0)**Ṽ_2*customfunc(Ṽ_0)**Ṽ_3~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle g(t,V)={\bar {g}}\cdot m(t,V)^{p}\cdot h(t,V)^{q}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_2**2*customfunc(Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle I(t)=C{\frac {dV(t)}{dt}}}
OPERATIONS:~{'*': 3, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {'*': 2}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 5}~EQUATION:~Ṽ_0*Ṽ_2*Ṽ_3*Ṽ_4 + Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \,\!f(I)={\frac {I}{C_{\mathrm {} }V_{\mathrm {th} }+t_{\mathrm {ref} }I}}.}
OPERATIONS:~{'-': 1, '*': 3, '+': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 2, '-': 1}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 5}~EQUATION:~-Ṽ_0*Ṽ_1*Ṽ_2*Ṽ_3 + customfunc(Ṽ_2)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle C_{\mathrm {m} }{\frac {dV_{\mathrm {m} }(t)}{dt}}=I(t)-{\frac {V_{\mathrm {m} }(t)}{R_{\mathrm {m} }}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \tau _{\mathrm {m} }{\frac {dV_{\mathrm {m} }(t)}{dt}}=RI(t)-[V_{\mathrm {m} }(t)-E_{\mathrm {m} }]-R\sum _{k}w_{k}}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~-Ṽ_0~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \tau _{k}{\frac {dw_{k}(t)}{dt}}=-a_{k}[V_{\mathrm {m} }(t)-E_{\mathrm {m} }]-w_{k}+b_{k}\tau _{k}\sum _{f}\delta (t-t^{f})}
OPERATIONS:~{'-': 2, '*': 5, '+': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'+': 1}}, '*': {'features': {'constants': 3, 'variables': 2}, 'functions': {'exp': 1}, 'operators': {'*': 2, '-': 2}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, 'exp': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 3, 'variables': 6}~EQUATION:~C̈_1*Ṽ_4*(C̈_0*exp(C̈_0*Ṽ_4*(-Ṽ_2 + Ṽ_5)) + Ṽ_3 - Ṽ_5)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\frac {dV}{dt}}-{\frac {R}{\tau _{m}}}I(t)={\frac {1}{\tau _{m}}}\left[E_{m}-V+\Delta _{T}\exp \left({\frac {V-V_{T}}{\Delta _{T}}}\right)\right].}
OPERATIONS:~{'-': 3, '*': 3, '+': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {'-': 1, '+': 1}}, '*': {'features': {'constants': 2, 'variables': 1}, 'functions': {'exp': 1}, 'operators': {'*': 1, '-': 1}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {'-': 1, '*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, 'exp': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 7}~EQUATION:~C̈_0*exp(C̈_0*Ṽ_4*(-Ṽ_1 + Ṽ_5)) + Ṽ_2 - Ṽ_4 - Ṽ_5 + customfunc(Ṽ_3)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \tau _{m}{\frac {dV}{dt}}=RI(t)+\left[E_{m}-V+\Delta _{T}\exp \left({\frac {V-V_{T}}{\Delta _{T}}}\right)\right]-Rw}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~-Ṽ_0~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \tau {\frac {dw(t)}{dt}}=-a[V_{\mathrm {m} }(t)-E_{\mathrm {m} }]-w+b\tau \delta (t-t^{f})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle I(t)}
OPERATIONS:~{'**': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 1}, 'functions': {'**2': 1}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0**(Ṽ_1**2)*Ṽ_2~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle I^{\rm {noise}}(t)}
OPERATIONS:~{'+': 2}~CONDITIONAL_OPERATIONS:~{'+': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 2}, 'operators': {'+': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0 + customfunc(Ṽ_1) + customfunc(Ṽ_2)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \tau _{m}{\frac {dV}{dt}}=f(V)+RI(t)+RI^{\text{noise}}(t)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle I^{\rm {noise}}(t)=\xi (t)}
OPERATIONS:~{'-': 1, '*': 1, '+': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'+': 1, '-': 1, '*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 5}~EQUATION:~Ṽ_0 + Ṽ_2*customfunc(Ṽ_1) - Ṽ_3 + customfunc(Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \tau _{m}{\frac {dV}{dt}}=[E_{m}-V]+RI(t)+R\xi (t)}
OPERATIONS:~{'*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '+': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'+': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~C̈_0*Ṽ_4**2*(Ṽ_2 - Ṽ_5 + customfunc(Ṽ_3)) + C̈_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle dV=[E_{m}-V+RI(t)]{\frac {dt}{\tau _{m}}}+\sigma \,dW}
OPERATIONS:~{'-': 1, '*': 5, '+': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 3, 'variables': 2}, 'functions': {'sqrt': 1}, 'operators': {'*': 3, '+': 1}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'*': 2, '-': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, 'sqrt': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 4, 'variables': 5}~EQUATION:~sqrt(C̈_0)*C̈_3*Ṽ_7 + C̈_0*C̈_1*Ṽ_5*(Ṽ_2 - Ṽ_6 + customfunc(Ṽ_4))~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \Delta V=[E_{m}-V+RI(t)]{\frac {\Delta t}{\tau _{m}}}+\sigma {\sqrt {\tau _{m}}}y}
OPERATIONS:~{'-': 2, '*': 4, '+': 3}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'+': 1}}, '*': {'features': {'constants': 2, 'variables': 2}, 'functions': {'exp': 1, 'customfunc': 1}, 'operators': {'*': 1, '-': 1}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {'+': 1, '-': 1, '*': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'exp': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 8}~EQUATION:~C̈_0*exp(C̈_0*Ṽ_4*(-Ṽ_1 + Ṽ_6)) + Ṽ_2 + Ṽ_5*customfunc(Ṽ_3) - Ṽ_6 + customfunc(Ṽ_3)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \tau _{m}{\frac {dV}{dt}}=E_{m}-V+\Delta _{T}\exp \left({\frac {V-V_{T}}{\Delta _{T}}}\right)+RI(t)+R\xi (t)}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~customfunc(-Ṽ_0 + customfunc(Ṽ_1))~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \rho (t)=f(V(t)-V_{th})}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle f(V-V_{th})={\frac {1}{\tau _{0}}}\exp[\beta (V-V_{th}]}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~1/C̈_0~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle 1/\beta \approx 4mV}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_2*(-Ṽ_1 + customfunc(Ṽ_0))~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle P_{F}(t_{n})=F[V(t_{n})-V_{th}]}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle F(y_{n})\approx 1-\exp[y_{n}\Delta t]}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~-Ṽ_1 + customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle y_{n}=V(t_{n})-V_{th}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \kappa (s)}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle t^{f}}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0 - Ṽ_0**Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \eta (t-t^{f})}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0 - Ṽ_0**Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \eta (t-t^{f})}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle f(V-\vartheta (t))={\frac {1}{\tau _{0}}}\exp[\beta (V-\vartheta (t)]}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \vartheta (t)}
OPERATIONS:~{'-': 1, '*': 1, '+': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '*': {'features': {'constants': 0, 'variables': 0}, 'functions': {'sum': 1, 'customfunc': 1}, 'operators': {}}, '+': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 4}~EQUATION:~C̈_0 + Sum(Ṽ_1)*customfunc(Ṽ_2 - Ṽ_2**Ṽ_3)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \vartheta (t)=\vartheta _{0}+\sum _{f}\theta _{1}(t-t^{f})}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0 - Ṽ_0**Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \theta _{1}(t-t^{f})}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle t^{f}}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0 - Ṽ_0**Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \theta _{1}(t-t^{f})}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 3, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 3, 'variables': 0}~EQUATION:~C̈_0*C̈_1*C̈_2~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \eta ,\kappa ,\theta _{1}}
OPERATIONS:~{'*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'sum': 1}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'+': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_1 + Ṽ_2*Sum(Ṽ_5)**2*customfunc(-Ṽ_0**Ṽ_4 + Ṽ_3)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle V_{i}(t)=\sum _{f}\eta _{i}(t-t_{i}^{f})+\sum _{j=1}^{N}w_{ij}\sum _{f'}\varepsilon _{ij}(t-t_{j}^{f'})+V_{\mathrm {rest} }}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle t_{j}^{f'}}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(-Ṽ_0**Ṽ_2 + Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \eta _{i}(t-t_{i}^{f})}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(-Ṽ_0**Ṽ_2 + Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \varepsilon _{ij}(t-t_{j}^{f'})}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle t_{j}^{f'}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle I(t)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \kappa (s)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \eta (s)}
OPERATIONS:~{'-': 1, '*': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {'exp': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}, 'exp': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~C̈_0*Ṽ_2*exp(customfunc(-Ṽ_1 + Ṽ_3))~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle f(V-\vartheta )={\frac {1}{\tau _{0}}}\exp[\beta (V-V_{th})]}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*customfunc(Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \mathop {\mathrm {Prob} } (X_{t}(i)=1\mid {\mathcal {F}}_{t-1})=\varphi _{i}{\Biggl (}\sum _{j\in I}W_{j\rightarrow i}\sum _{s=L_{t}^{i}}^{t-1}g_{j}(t-s)X_{s}(j),~~~t-L_{t}^{i}{\Biggl )},}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle L_{t}^{i}}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~-Ṽ_0**Ṽ_2 + Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle t-L_{t}^{i}}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '**3': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0 - Ṽ_1 - Ṽ_2**3/3 + Ṽ_2~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\begin{array}{rcl}{\dfrac {dV}{dt}}&=&V-V^{3}/3-w+I_{\mathrm {ext} }\\\tau {\dfrac {dw}{dt}}&=&V-a-bw\end{array}}}
OPERATIONS:~{'-': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'-': 1}}, '**3': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~-Ṽ_0**3 - Ṽ_1 + Ṽ_2~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\begin{array}{rcl}{\dfrac {dV}{dt}}&=&V-V^{3}/3-w+I_{\mathrm {ext} }\\\tau {\dfrac {dw}{dt}}&=&V-a-bw\end{array}}}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~-Ṽ_0~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\begin{aligned}&C{\frac {dV}{dt}}&=&-I_{\mathrm {ion} }(V,w)+I\\[6pt]&{\frac {dw}{dt}}&=&\varphi \cdot {\frac {w_{\infty }-w}{\tau _{w}}}\end{aligned}}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '**3': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~C̈_0*C̈_1*Ṽ_4**3*(Ṽ_2 - Ṽ_3)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\begin{aligned}&C{\frac {dV}{dt}}&=&-I_{\mathrm {ion} }(V,w)+I\\[6pt]&{\frac {dw}{dt}}&=&\varphi \cdot {\frac {w_{\infty }-w}{\tau _{w}}}\end{aligned}}}
OPERATIONS:~{'-': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'+': 1}}, '+': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**3': 1}, 'operators': {}}, '**3': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0 - Ṽ_1**3 + Ṽ_1**2 - Ṽ_2 + Ṽ_3~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\begin{aligned}&{\frac {dx}{dt}}&=&y+3x^{2}-x^{3}-z+I\\[6pt]&{\frac {dy}{dt}}&=&1-5x^{2}-y\\[6pt]&{\frac {dz}{dt}}&=&r\cdot (4(x+{\tfrac {8}{5}})-z)\end{aligned}}}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~-Ṽ_0**2 - Ṽ_1 + 1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\begin{aligned}&{\frac {dx}{dt}}&=&y+3x^{2}-x^{3}-z+I\\[6pt]&{\frac {dy}{dt}}&=&1-5x^{2}-y\\[6pt]&{\frac {dz}{dt}}&=&r\cdot (4(x+{\tfrac {8}{5}})-z)\end{aligned}}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**2*Ṽ_1*(164*Ṽ_0 - Ṽ_2)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\begin{aligned}&{\frac {dx}{dt}}&=&y+3x^{2}-x^{3}-z+I\\[6pt]&{\frac {dy}{dt}}&=&1-5x^{2}-y\\[6pt]&{\frac {dz}{dt}}&=&r\cdot (4(x+{\tfrac {8}{5}})-z)\end{aligned}}}
OPERATIONS:~{'-': 2, '*': 1, '+': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {'cos': 1}, 'operators': {'*': 1}}, '*': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1, '+': 1}}, '+': {'features': {'constants': 2, 'variables': 0}, 'functions': {'cos': 1}, 'operators': {'-': 1}}, 'cos': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 4, 'variables': 2}~EQUATION:~(-Ṽ_0 + Ṽ_2)*(cos(C̈_1) + 1) - cos(C̈_1) + 1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\frac {d\theta (t)}{dt}}=(I-I_{0})[1+\cos(\theta )]+[1-\cos(\theta )]}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_2*(-Ṽ_0 + Ṽ_1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \tau _{\mathrm {m} }{\frac {dV_{\mathrm {m} }(t)}{dt}}=(I-I_{0})R+[V_{\mathrm {m} }(t)-E_{\mathrm {m} }][V_{\mathrm {m} }(t)-V_{\mathrm {T} }]}
OPERATIONS:~{'+': 1}~CONDITIONAL_OPERATIONS:~{'+': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0 + Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle [t,t+\Delta _{t}]}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_1*customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle g[s(t)]}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle s(t)}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_1*customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle g[s(t)]}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_1*customfunc(Ṽ_0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle g[s(t)]\propto s^{2}(t)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~customfunc(0)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle w(t-{\hat {t}})}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 2}, 'operators': {}}, 'customfunc': {'features': {'constants': 1, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~customfunc(0)*customfunc(customfunc(Ṽ_0))~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \rho (t)=f(s(t))w(t-{\hat {t}})}
OPERATIONS:~{'*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'+': 1}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_1*(Ṽ_0 + customfunc(Ṽ_2))~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle R_{\text{fire}}(t)={\frac {P_{\text{spike}}(t;\Delta _{t})}{\Delta _{t}}}=[y(t)+R_{0}]\cdot P_{0}(t)}
OPERATIONS:~{'-': 2, '*': 2, '+': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 2, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'*': 1}}, '*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {'-': 2}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 4}~EQUATION:~Ṽ_0 + Ṽ_1*(-2*Ṽ_0 - customfunc(Ṽ_2))~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\dot {P}}_{0}=-[y(t)+R_{0}+R_{1}]\cdot P_{0}(t)+R_{1}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1**2~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \langle s^{2}(t)\rangle }
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {'sum': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0*Ṽ_1*Sum(Ṽ_2))~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle y_{i}=\varphi \left(\sum _{j}w_{ij}x_{j}\right)}
OPERATIONS:~{'*': 2, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '**3': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'+': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2**3 + Ṽ_3~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle {\frac {r_{m}}{r_{l}}}{\frac {\partial ^{2}V}{\partial x^{2}}}=c_{m}r_{m}{\frac {\partial V}{\partial t}}+V}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \tau =c_{m}r_{m}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '**3': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*Ṽ_1**3 + Ṽ_2~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \lambda ^{2}{\frac {\partial ^{2}V}{\partial x^{2}}}=\tau {\frac {\partial V}{\partial t}}+V}
OPERATIONS:~{'*': 3, '+': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {'tanh': 1}, 'operators': {'*': 1, '+': 2}}, '+': {'features': {'constants': 1, 'variables': 1}, 'functions': {'tanh': 1}, 'operators': {'*': 1}}, 'tanh': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 5}~EQUATION:~Ṽ_1*(Ṽ_0*tanh(Ṽ_2) + Ṽ_0)*(tanh(Ṽ_2) + 1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle G_{in}={\frac {G_{\infty }\tanh(L)+G_{L}}{1+(G_{L}/G_{\infty })\tanh(L)}}}
OPERATIONS:~{'*': 2, '/': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {'tanh': 1}, 'operators': {'*': 1}}, '/': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, 'tanh': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_1*Ṽ_2*tanh(Ṽ_0)/Ṽ_0~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle \,\!G_{D}=G_{m}A_{D}\tanh(L_{D})/L_{D}}
OPERATIONS:~{'**': 1, '*': 3, '/': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'/': 1}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {'sqrt': 1}, 'operators': {'*': 2, '**': 1}}, '/': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, 'sqrt': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 4, 'variables': 2}~EQUATION:~2*C̈_1**(3/2)*Ṽ_2*sqrt(Ṽ_0**2)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle G_{\infty }={\tfrac {\pi d^{3/2}}{2{\sqrt {R_{i}R_{m}}}}}}
OPERATIONS:~{'*': 5, '+': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 6}, 'functions': {}, 'operators': {'*': 2, '+': 2}}, '+': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {'*': 2}}}~SYMBOLS:~{'constants': 1, 'variables': 7}~EQUATION:~Ṽ_0*(Ṽ_0 + Ṽ_1*Ṽ_2*Ṽ_3)*(Ṽ_1*Ṽ_2 + 1)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle B_{\mathrm {in} ,i}={\frac {B_{\mathrm {out} ,i}+\tanh X_{i}}{1+B_{\mathrm {out} ,i}\tanh X_{i}}}}
OPERATIONS:~{'*': 4}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 4}, 'functions': {'sqrt': 2}, 'operators': {'*': 2}}, 'sqrt': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 5}~EQUATION:~Ṽ_1*sqrt(Ṽ_2)*Ṽ_4*sqrt(Ṽ_0*Ṽ_3)~LINK:~/wiki/Biological_neuron_model~WIKIEQUATION:~{\displaystyle X_{i}={\tfrac {l_{i}{\sqrt {4R_{i}}}}{\sqrt {d_{i}R_{m}}}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Bursting~WIKIEQUATION:~{\displaystyle {\dot {x}}=f(x,u)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Bursting~WIKIEQUATION:~{\displaystyle {\dot {u}}=\mu g(x,u)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2*exp(Ṽ_1)~LINK:~/wiki/Chialvo_map~WIKIEQUATION:~{\displaystyle {\begin{aligned}x_{n+1}=&f(x_{n},y_{n})=x_{n}^{2}\exp {(y_{n}-x_{n})}+k\\y_{n+1}=&g(x_{n},y_{n})=ay_{n}-bx_{n}+c\\\end{aligned}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Chialvo_map~WIKIEQUATION:~{\displaystyle {\begin{aligned}x_{n+1}=&f(x_{n},y_{n})=x_{n}^{2}\exp {(y_{n}-x_{n})}+k\\y_{n+1}=&g(x_{n},y_{n})=ay_{n}-bx_{n}+c\\\end{aligned}}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0**2*Ṽ_1*Ṽ_2*customfunc(-Ṽ_0 + Ṽ_3)~LINK:~/wiki/Chialvo_map~WIKIEQUATION:~{\displaystyle {\begin{aligned}x_{n+1}=&f(x_{n},y_{f0})=x_{n}^{2}exp(r-x_{n})\\r=&y_{f0}=c/(1-a)\\\end{aligned}}}
OPERATIONS:~{'-': 1, '/': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '/': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~Ṽ_1/(1 - Ṽ_0)~LINK:~/wiki/Chialvo_map~WIKIEQUATION:~{\displaystyle {\begin{aligned}x_{n+1}=&f(x_{n},y_{f0})=x_{n}^{2}exp(r-x_{n})\\r=&y_{f0}=c/(1-a)\\\end{aligned}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Chialvo_map~WIKIEQUATION:~{\displaystyle {\begin{aligned}x_{n+1}=&f(x_{n},y_{f0})=x_{n}^{2}exp(r-x_{n})\\r=&y_{f0}=c/(1-a)\\\end{aligned}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Chialvo_map~WIKIEQUATION:~{\displaystyle f(x_{n},y_{f0})}
OPERATIONS:~{'**': 3, '-': 2, '*': 2, '+': 3, '/': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {'-': 1, '+': 1}}, '-': {'features': {'constants': 2, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {'+': 1, '-': 1}}, '+': {'features': {'constants': 1, 'variables': 1}, 'functions': {'customfunc': 2}, 'operators': {'/': 1, '*': 1}}, '/': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'**': 3}}}~SYMBOLS:~{'constants': 4, 'variables': 8}~EQUATION:~Ṽ_1*(customfunc(Ṽ_0**(Ṽ_2 - 1)) + customfunc(Ṽ_0**(Ṽ_2 + 1)))/2 + (1 - Ṽ_1)*customfunc(Ṽ_0**Ṽ_2)~LINK:~/wiki/Chialvo_map~WIKIEQUATION:~{\displaystyle x_{n+1}^{i}=(1-d)f(x_{n}^{i})+(d/2)[f(x_{n}^{i+1})+f(x_{n}^{i-1})]}
OPERATIONS:~{'**': 3, '-': 2, '*': 3, '+': 4, '/': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {'-': 1, '+': 1}}, '-': {'features': {'constants': 2, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {'customfunc': 2}, 'operators': {'+': 1, '-': 1}}, '+': {'features': {'constants': 1, 'variables': 1}, 'functions': {'customfunc': 2}, 'operators': {'/': 1, '*': 2, '+': 1}}, '/': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 3}}}~SYMBOLS:~{'constants': 5, 'variables': 9}~EQUATION:~Ṽ_1*(customfunc(Ṽ_0**(Ṽ_2 - 1)) + customfunc(Ṽ_0**(Ṽ_2 + 1)) + 2*customfunc(Ṽ_3))/4 + (1 - Ṽ_1)*customfunc(Ṽ_0**Ṽ_2)~LINK:~/wiki/Chialvo_map~WIKIEQUATION:~{\displaystyle x_{n+1}^{i,j}=(1-d)f(x_{n}^{i,j})+(d/4)[f(x_{n}^{i+1,j})+f(x_{n}^{i-1,j})+f(x_{n}^{i,j+1})+f(x_{n}^{i,j-1})]}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle I_{\text{electrode}}^{i}}
OPERATIONS:~{'**': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'**': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~2*Ṽ_0**Ṽ_1~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle i_{\text{cap}}^{i}+i_{\text{ion}}^{i}=i_{\text{long}}^{i}+i_{\text{electrode}}^{i}}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle i_{\text{cap}}^{i}}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle i_{\text{ion}}^{i}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2**2~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle i_{\text{cap}}^{i}=c_{i}{\frac {dV_{i}}{dt}}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle i_{\text{ion}}^{i}={\frac {V_{i}}{r_{Mi}}}}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle i_{\text{long}}^{i}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~4*C̈_0**2*Ṽ_1*Ṽ_2*Ṽ_3~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle R_{\text{long}}={\frac {r_{L}L_{1}}{2\pi a_{1}^{2}}}+{\frac {r_{L}L_{2}}{2\pi a_{2}^{2}}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~customfunc(0)~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle i_{\text{long}}^{1}=g_{1,2}(V_{2}-V_{1})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~customfunc(0)~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle i_{\text{long}}^{2}=g_{2,1}(V_{1}-V_{2})}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '**3': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0**3*Ṽ_1*Ṽ_3*customfunc(2*Ṽ_0**2*Ṽ_2)~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle g_{1,2}={\frac {a_{1}a_{2}^{2}}{r_{L}L_{1}(a_{2}^{2}L_{1}+a_{1}^{2}L_{2})}}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '**3': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0**3*Ṽ_1*Ṽ_3*customfunc(2*Ṽ_0**2*Ṽ_2)~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle g_{2,1}={\frac {a_{2}a_{1}^{2}}{r_{L}L_{1}(a_{1}^{2}L_{2}+a_{2}^{2}L_{1})}}}
OPERATIONS:~{'**': 1, '*': 2}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {'*': 1, '**': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_0*Ṽ_1**Ṽ_3*Ṽ_2~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle i_{\text{electrode}}^{I}={\frac {I_{\text{electrode}}^{i}}{A_{i}}}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~2*C̈_0*Ṽ_1~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle A_{i}=2\pi a_{i}L_{i}}
OPERATIONS:~{'*': 2, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~Ṽ_1*Ṽ_2*Ṽ_3 + customfunc(0)~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle c_{1}{\frac {dV_{1}}{dt}}+{\frac {V_{1}}{r_{M1}}}=g_{1,2}(V_{2}-V_{1})+{\frac {I_{\text{electrode}}^{1}}{A_{1}}}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_1*Ṽ_2**2*Ṽ_3 + customfunc(0)~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle c_{2}{\frac {dV_{2}}{dt}}+{\frac {V_{2}}{r_{M2}}}=g_{2,1}(V_{1}-V_{2})+{\frac {I_{\text{electrode}}^{2}}{A_{2}}}}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~1/Ṽ_0~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle r_{1}=1/g_{1,2}}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~1/Ṽ_0~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle r_{2}=1/g_{2,1}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_1*Ṽ_2*Ṽ_4~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle c_{1}{\frac {dV_{1}}{dt}}+{\frac {V_{1}}{r_{M1}}}={\frac {V_{2}-V_{1}}{r_{1}}}+{\frac {I_{\text{electrode}}^{1}}{A_{1}}}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_1**2*Ṽ_2*Ṽ_4~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle c_{2}{\frac {dV_{2}}{dt}}+{\frac {V_{2}}{r_{M2}}}={\frac {V_{1}-V_{2}}{r_{2}}}+{\frac {I_{\text{electrode}}^{2}}{A_{2}}}}
OPERATIONS:~{'*': 2, '+': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {'*': 1, '+': 1}}, '+': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'+': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 5}~EQUATION:~Ṽ_2*(Ṽ_0 + Ṽ_3)*customfunc(Ṽ_1 + Ṽ_3)~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle {\frac {V_{1}}{i_{1}}}={\frac {r_{M}(r+r_{M})}{r+2r_{M}}}}
OPERATIONS:~{'-': 1, '*': 2, '+': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1, '+': 1, '-': 1}}, '+': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 4}~EQUATION:~-Ṽ_1*Ṽ_2*(Ṽ_0 + Ṽ_3) + 1~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle {\frac {R_{\text{input,coupled}}}{R_{\text{input,uncoupled}}}}=1-{\frac {r_{M}}{r+2r_{M}}}}
OPERATIONS:~{'-': 1, '*': 3}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 2}}, '*': {'features': {'constants': 0, 'variables': 4}, 'functions': {'sum': 1}, 'operators': {'*': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 5}~EQUATION:~-Ṽ_0*Ṽ_1*Ṽ_3 + Ṽ_2*Sum(Ṽ_3)~LINK:~/wiki/Compartmental_neuron_models~WIKIEQUATION:~{\displaystyle C_{j}{\frac {dV_{j}}{dt}}=-{\frac {V_{j}}{R_{j}}}+\sum _{k{\text{ connected }}j}{}{\frac {V_{k}-V_{j}}{R_{jk}}}+I_{j}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \mathbb {R} ^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3},}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle g\cdot m}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_1**Ṽ_0~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{n}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle n\times n}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle n\times n}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_1**Ṽ_0~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{n}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathcal {G}}\doteq Diff}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle v\doteq (v_{1},v_{2},v_{3})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{'*': 3}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 3}, 'functions': {'customfunc': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~Ṽ_3*customfunc(C̈_0*Ṽ_1*Ṽ_2**2)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \ D\phi \doteq ({\frac {\partial \phi _{i}}{\partial x_{j}}})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0/Ṽ_1~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle A:V\rightarrow V^{*}}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~1/Ṽ_0~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle K=A^{-1}}
OPERATIONS:~{'*': 1, '/': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '/': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~1/(Ṽ_0*Ṽ_1)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle K=A^{-1}:V^{*}\rightarrow V}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle k(\cdot ,\cdot )}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~C̈_0*C̈_1~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \sigma \doteq \mu dx}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~C̈_0**2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \phi ,{\dot {\phi }}}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0/Ṽ_1~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle ad_{v}^{*}:V^{*}\rightarrow V^{*},}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{'*': 3}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {'customfunc': 1}, 'operators': {'*': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_1*Ṽ_2*Ṽ_3*customfunc(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle Exp_{id}(v_{0})\cdot m}
OPERATIONS:~{'*': 4}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 4}, 'functions': {'customfunc': 2}, 'operators': {'*': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 5}~EQUATION:~Ṽ_0*Ṽ_1*customfunc(Ṽ_1)*customfunc(Ṽ_1*Ṽ_2)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle H(\phi _{t},p_{t})\doteq \max _{v}H(\phi _{t},p_{t},v)\ .}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2**2*customfunc(Ṽ_2)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle v_{t}\doteq \arg max_{v}H(\phi _{t},p_{t},v)}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'-': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~-C̈_0*Ṽ_1**2*customfunc(Ṽ_1)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\begin{cases}{\dot {\phi }}_{t}={\frac {\partial H(\phi _{t},p_{t})}{\partial p}}\\{\dot {p}}_{t}=-{\frac {\partial H(\phi _{t},p_{t})}{\partial \phi }}\\\end{cases}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~Ṽ_0*customfunc(C̈_1)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle H(\phi ,p)=\max _{v}H(\phi ,p,v)}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {'customfunc': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_1*customfunc(Ṽ_1)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle v_{0}=\arg \max _{v}H(\phi _{0},p_{0},v)}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~1/Ṽ_0~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle K=A^{-1}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, 'sqrt': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~sqrt(customfunc(Ṽ_0))~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle d_{Diff_{V}}(id,\varphi )=\|Log_{id}(\varphi )\|_{V}=\|v_{0}\|_{V}={\sqrt {2H(id,p_{0})}}}
OPERATIONS:~{'-': 1, '*': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 2}}, '*': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_0*Ṽ_1 - Ṽ_0*Ṽ_2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\frac {d}{dt}}w_{t}=(Dv_{t})w_{t}-(Dw_{t})v_{t}}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~-Ṽ_0~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\dot {p}}_{t}=-(Dv_{t})_{|_{\phi _{t}}}^{T}p_{t}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\frac {d}{dt}}(p_{t}|(D\phi _{t})w)=({\dot {p}}_{t}|(D\phi _{t})w)+(p_{t}|{\frac {d}{dt}}(D\phi _{t})w)=({\dot {p}}_{t}|(D\phi _{t})w)+(p_{t}|(Dv_{t})_{|_{\phi _{t}}}(D\phi _{t})w)=0}
OPERATIONS:~{'*': 1, '/': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '/': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~Ṽ_1/(C̈_0*Ṽ_2)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle E:\phi _{1}\rightarrow R^{+}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~customfunc(C̈_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle E(\phi _{1})}
OPERATIONS:~{'**': 1, '-': 1, '*': 2, '+': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1, '*': 1}}, '-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 1, 'variables': 2}, 'functions': {'customfunc': 1}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'**': 1, '*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 4}~EQUATION:~Ṽ_0*customfunc(Ṽ_1) - Ṽ_2**(2*Ṽ_3)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle E(q_{1})\doteq \|q_{1}-I^{\prime }\|^{2}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**2*Ṽ_1**Ṽ_3*Ṽ_2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \|A\|_{F}^{2}\doteq traceA^{T}A}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {S} }^{2}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'sqrt': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~sqrt(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\sqrt {\text{ODF}}}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~customfunc(Ṽ_0*Ṽ_1)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \psi ({\bf {s}})}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~customfunc(Ṽ_0*Ṽ_1)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \psi ({\bf {s}})}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~C̈_0*C̈_1~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \phi _{1}\cdot \psi _{\mathrm {temp} }({\bf {s}},x)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {{\mathbb {S} }^{2}}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*Ṽ_1~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle (D\phi _{1})}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\bf {s}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \mathrm {L} ^{2}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~customfunc(1)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle p_{0}(1)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \varphi _{t}(x_{1})}
OPERATIONS:~{'**': 1, '-': 1, '*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1, '*': 1}}, '-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'**': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 3}~EQUATION:~-Ṽ_0**(2*Ṽ_1) + customfunc(Ṽ_1)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle E(\phi _{1})\doteq \textstyle \sum _{i}\displaystyle \|\phi _{1}(x_{i})-x_{i}^{\prime }\|^{2}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {'sum': 1}, 'operators': {'*': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~C̈_0*C̈_1*Sum(Ṽ_2)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \mu _{m}=\sum _{i=1}^{n}\rho _{i}\delta _{x_{i}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Sum(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \mu _{m^{\prime }}=\sum _{i=1}^{n^{\prime }}\rho _{i}^{\prime }\delta _{x_{i}^{\prime }}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \mathbb {R} ^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle k(x,y)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \mathbb {R} ^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~C̈_0**2*Sum(Ṽ_1)*customfunc(Ṽ_1)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \|\mu _{m}\|_{\mathrm {mea} }^{2}=\sum _{i,j=1}^{n}\rho _{i}\rho _{j}k(x_{i},x_{j})}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 0}, 'functions': {'customfunc': 1, 'sum': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~C̈_0*Sum(Ṽ_2)*customfunc(Ṽ_1)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \mu _{\phi _{1}\cdot m}=\sum _{i=1}^{n}\rho _{i}\delta _{\phi _{1}(x_{i})}}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_1**Ṽ_0~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle m^{\prime }}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \partial m(u)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle [\partial m(u)]}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \partial m(u)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle k_{\mathbb {R} ^{3}},k_{\mathbf {Gr} }}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \mathbb {R} ^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle [{\vec {n}}(u)]}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~C̈_1*Ṽ_0*Ṽ_2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle I\doteq \phi \cdot I_{a}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~customfunc(C̈_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \pi _{Diff}(d\phi )}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle Exp_{id}(v)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Computational_anatomy~WIKIEQUATION:~{\displaystyle \pi _{V}(dv)}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle {\mathcal {I}},{\mathcal {M}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle \operatorname {Diff} _{V}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle v\doteq (v_{1},v_{2},v_{3})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle \mathbb {R} ^{3}}
OPERATIONS:~{'*': 3}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 3}, 'functions': {'customfunc': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~Ṽ_3*customfunc(C̈_0*Ṽ_1*Ṽ_2**2)~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle \ D\varphi \doteq \left({\frac {\partial \varphi _{i}}{\partial x_{j}}}\right).}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0/Ṽ_1~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle A:V\rightarrow V^{*}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*Ṽ_1~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle Av\doteq \mu \,dx}
OPERATIONS:~{'*': 1, '/': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '/': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~1/(Ṽ_0*Ṽ_1)~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle K=A^{-1}:V^{*}\rightarrow V}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle k(\cdot ,\cdot )}
OPERATIONS:~{'*': 4}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 4}, 'functions': {'customfunc': 2}, 'operators': {'*': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 5}~EQUATION:~Ṽ_0*Ṽ_1*customfunc(Ṽ_1)*customfunc(Ṽ_1*Ṽ_2)~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle H(\phi _{t},p_{t})\doteq \max _{v}H(\phi _{t},p_{t},v)\ .}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}, '**3': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2**3~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle v_{t}\doteq \operatorname {argmax} _{v}H(\phi _{t},p_{t},v)}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'-': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~-C̈_0*Ṽ_1**2*customfunc(Ṽ_1)~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle {\dot {\phi }}_{t}={\frac {\partial H(\phi _{t},p_{t})}{\partial p}},{\dot {p}}_{t}=-{\frac {\partial H(\phi _{t},p_{t})}{\partial \phi }}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, 'sqrt': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~sqrt(customfunc(Ṽ_0))~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle d_{\mathrm {Diff} _{V}}(\operatorname {id} ,\varphi )=\|v_{0}\|_{V}={\sqrt {2H(\operatorname {id} ,p_{0})}}}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~2*Ṽ_0*Ṽ_1**2*Sum(Ṽ_1)~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle H(\phi _{t},p_{t})={\frac {1}{2}}\textstyle \sum _{j}\sum _{i}\displaystyle p_{t}(i)\cdot K(\phi _{t}(x_{i}),\phi _{t}(x_{j}))p_{t}(j)}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**2*Ṽ_1*Sum(Ṽ_1)**2*customfunc(Ṽ_1)~LINK:~/wiki/Diffeomorphometry~WIKIEQUATION:~{\displaystyle d^{2}=\textstyle \sum _{i}p_{0}(i)\cdot \sum _{j}\displaystyle K(x_{i},x_{j})p_{0}(j).}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 2}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~customfunc(Ṽ_0)*customfunc(Ṽ_1)~LINK:~/wiki/Gain-field_encoding~WIKIEQUATION:~{\displaystyle r=f(x)g(y)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Gain-field_encoding~WIKIEQUATION:~{\displaystyle f(x)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Gain-field_encoding~WIKIEQUATION:~{\displaystyle g(y)}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~C̈_0*C̈_1~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle \varphi \doteq \phi _{1}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**3': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**3~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle {\mathbb {R} }^{3}}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0/Ṽ_1~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle A:V\rightarrow V^{*}}
OPERATIONS:~{'**': 1, '*': 2}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}, '*': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'**': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 2}~EQUATION:~C̈_0**(2*Ṽ_1)*Ṽ_1~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle \phi _{t}^{old}\leftarrow \phi _{t}^{new}}
OPERATIONS:~{'**': 1, '*': 2}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}, '*': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'**': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 2}~EQUATION:~C̈_0**(2*Ṽ_1)*Ṽ_1~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle \phi _{t}^{old}\leftarrow \phi _{t}^{new}}
OPERATIONS:~{'-': 2, '*': 5, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 2, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {'sum': 1}, 'operators': {'*': 4, '-': 2, '**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 3, 'variables': 6}~EQUATION:~-C̈_0*C̈_1*Ṽ_3**Ṽ_6*Ṽ_4*(Ṽ_2 - customfunc(Ṽ_3))*Sum(Ṽ_5)~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle Av_{0}=-\sum _{i}(D\phi _{1})(x_{i})^{T}(y_{i}-\phi _{1}(x_{i}))\delta _{x_{i}}}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 0}, 'functions': {'sum': 1}, 'operators': {'-': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~-Ṽ_0*Sum(Ṽ_0)~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle Av_{t}=-\sum _{i}(D\phi _{t1})^{T}|_{\phi _{t}(x_{i})}(y_{i}-\phi _{1}(x_{i}))\delta _{\phi _{t}(x_{i})}}
OPERATIONS:~{'*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~C̈_0*C̈_1 + Ṽ_2~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle v+\epsilon \delta v}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~1/C̈_0~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle \phi ^{-1}}
OPERATIONS:~{'*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~C̈_0*C̈_1 + Ṽ_2~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle v+\epsilon \delta v}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {'sum': 1}, 'operators': {'*': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~2*Ṽ_0*Sum(Ṽ_0)~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle {\frac {1}{2}}\sum _{i}|\phi _{1}(x_{i})-y_{i})|^{2}}
OPERATIONS:~{'-': 1, '*': 1, '+': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1, '**': 1}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'*': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 4}~EQUATION:~-Ṽ_0**Ṽ_1*Ṽ_1 + customfunc(Ṽ_1)~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle E(\phi _{1})\doteq \int _{{\mathbb {R} }^{3}}\|\phi _{1}\cdot M(x)-M^{\prime }(x)\|_{F}^{2}dx}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle {\mathbb {S} }^{2}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'sqrt': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~sqrt(Ṽ_0)~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle {\sqrt {\text{ODF}}}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~customfunc(Ṽ_0*Ṽ_1)~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle \psi ({\bf {s}})}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~customfunc(Ṽ_0*Ṽ_1)~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle \psi ({\bf {s}})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'sqrt': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~sqrt(Ṽ_0)~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle {\sqrt {\text{ODF}}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle \mathrm {L} ^{2}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*Ṽ_1~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle (D\phi _{1})}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~2*Ṽ_0*Ṽ_1**2*customfunc(Ṽ_0) - Ṽ_2**2~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle E(q_{1})\doteq {\frac {1}{2}}\|q_{1}-J\|^{2}}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'-': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~-2*Ṽ_0**2 + Ṽ_0~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle H(q,p,v)=(p|-\nabla q\cdot v)-{\frac {1}{2}}(Av|v)}
OPERATIONS:~{'-': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'-': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_1 + customfunc(Ṽ_0) - customfunc(Ṽ_2)~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle \min _{p,q,v}C(p,q,v)\doteq (p|{\dot {q}})-\left((p|-\nabla q\cdot v)-{\frac {1}{2}}(Av|v)\right)+E(q_{1})=(p|{\dot {q}})-H(p,q,v)+E(q_{1})\ .}
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'-': 1}}, '**3': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~-Ṽ_0*Ṽ_1**3~LINK:~/wiki/Large_deformation_diffeomorphic_metric_mapping~WIKIEQUATION:~{\displaystyle p_{1}=-{\frac {\partial E}{\partial q}}(q_{1})}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle \{\mathbf {v} ^{K}\}}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_1**Ṽ_0~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle \mathbf {s} ^{K}}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle \{\mathbf {v} ^{K}\}}
OPERATIONS:~{'**': 1, '*': 5}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 5}, 'functions': {'customfunc': 2}, 'operators': {'*': 3}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'**': 1, '*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 7}~EQUATION:~customfunc(Ṽ_4**Ṽ_3)*customfunc(Ṽ_0*Ṽ_1*Ṽ_2*Ṽ_4*Ṽ_5)~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle P(spike|\mathbf {s} ^{K})=P(spike)f(\mathbf {s} ^{K})}
OPERATIONS:~{'**': 1, '*': 2}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 2}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 4}~EQUATION:~Ṽ_0*customfunc(Ṽ_0)*customfunc(Ṽ_2**Ṽ_1)~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle f(\mathbf {s} ^{K})={\frac {P(\mathbf {s} ^{K}|spike)}{P(\mathbf {s} ^{K})}}}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle \{\mathbf {v} ^{K}\}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle P(\mathbf {s} )}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle P(\mathbf {s} |spike)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Sum(Ṽ_0)~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle I_{spike}=\sum _{\mathbf {s} }P(\mathbf {s} |spike)log_{2}[P(\mathbf {s} |spike)/P(\mathbf {s} )]}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle x=\mathbf {s} \cdot \mathbf {v} }
OPERATIONS:~{'-': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0 - Ṽ_1*Ṽ_2)~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle P_{\mathbf {v} }(x)=\langle \delta (x-\mathbf {s} \cdot \mathbf {v} )\rangle _{\mathbf {s} }}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle I(\mathbf {v} )}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'**': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~customfunc(Ṽ_0**Ṽ_1)~LINK:~/wiki/Maximally_informative_dimensions~WIKIEQUATION:~{\displaystyle I({\mathbf {v} ^{K}})}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Neuromorphic_engineering~WIKIEQUATION:~{\displaystyle {\vec {S}}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'**2': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~Ṽ_0**2~LINK:~/wiki/Neuromorphic_engineering~WIKIEQUATION:~{\displaystyle X=\operatorname {diag} ({\vec {X}})}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Neuromorphic_engineering~WIKIEQUATION:~{\displaystyle {\vec {X}}}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~Ṽ_1**C̈_0~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle \langle |X(t+\Delta t)-X(t)|^{2}\rangle \sim t^{\alpha }}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle F(x,t)}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 3, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 3, 'variables': 0}~EQUATION:~6*C̈_0*C̈_1~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle \Gamma =6\pi a\rho }
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~-customfunc(Ṽ_0)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle F(x,t)=-U'(x)}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle \varepsilon =k_{\text{B}}T,}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle x(t)}
OPERATIONS:~{'*': 3}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 1}, 'functions': {'sqrt': 2}, 'operators': {'*': 1}}, 'sqrt': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 3, 'variables': 1}~EQUATION:~sqrt(2)*Ṽ_2*sqrt(C̈_0*C̈_1)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle \gamma {\dot {x}}+U^{\prime }(x)={\sqrt {2\varepsilon \gamma }}\,{\dot {w}},}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle {\dot {w}}(t)}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle {b}(X)}
OPERATIONS:~{'**': 2, '*': 4}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 4}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {'*': 3, '**': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 6}~EQUATION:~2*Ṽ_0**Ṽ_2*Ṽ_1*Ṽ_3**Ṽ_2*customfunc(Ṽ_3)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle D(X)={\frac {1}{2}}B(X)B^{T}X^{T}}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\textstyle X^{T}}
OPERATIONS:~{'-': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 2}, 'operators': {}}, '+': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'+': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~-customfunc(Ṽ_1) + customfunc(C̈_0 + Ṽ_1)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle \Delta X=X(t+\Delta t)-X(t)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle S(x_{k},r)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle S(x_{k},r)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle D(x_{k})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle D_{xx}(x_{k})\approx {\frac {1}{N_{k}}}\sum _{j=1}^{N_{t}}\sum _{i=0,x_{i}\in S(x_{k},r)}^{N_{s}-1}{\frac {(x_{i+1}^{j}-x_{i}^{j})^{2}}{2\,\Delta t}},}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle D_{yy}(x_{k})\approx {\frac {1}{N_{k}}}\sum _{j=1}^{N_{t}}\sum _{i=0,x_{i}\in S(x_{k},r)}^{N_{s}-1}{\frac {(y_{i+1}^{j}-y_{i}^{j})^{2}}{2\,\Delta t}},}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Single-particle_trajectory~WIKIEQUATION:~{\displaystyle D_{xy}(x_{k})\approx {\frac {1}{N_{k}}}\sum _{j=1}^{N_{t}}\sum _{i=0,x_{i}\in S(x_{k},r)}^{N_{s}-1}{\frac {(x_{i+1}^{j}-x_{i}^{j})(y_{i+1}^{j}-y_{i}^{j})}{2\,\Delta t}}.}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~customfunc(0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \rho (t)=f(V(t)-\vartheta (t))}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \vartheta (t)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \kappa (s)}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle t^{f}}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0 - Ṽ_0**Ṽ_1)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta (t-t^{f})}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0 - Ṽ_0**Ṽ_1)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta (t-t^{f})}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle t^{f}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \vartheta (t)}
OPERATIONS:~{'-': 1, '*': 1, '+': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '*': {'features': {'constants': 0, 'variables': 0}, 'functions': {'sum': 1, 'customfunc': 1}, 'operators': {}}, '+': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 4}~EQUATION:~C̈_0 + Sum(Ṽ_1)*customfunc(Ṽ_2 - Ṽ_2**Ṽ_3)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \vartheta (t)=\vartheta _{0}+\sum _{f}\theta _{1}(t-t^{f})}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0 - Ṽ_0**Ṽ_1)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \theta _{1}(t-t^{f})}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle t^{f}}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0 - Ṽ_0**Ṽ_1)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \theta _{1}(t-t^{f})}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(Ṽ_0 - Ṽ_0**Ṽ_1)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta (t-t^{f})}
OPERATIONS:~{'-': 1, '*': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {'exp': 1}, 'operators': {'*': 1}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}, 'exp': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 2}~EQUATION:~C̈_1*Ṽ_2*exp(customfunc(-C̈_0 + Ṽ_3))~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle f(V-\vartheta )={\frac {1}{\tau _{0}}}\exp[\beta (V-\vartheta )]}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~1/C̈_0~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle 1/\beta \approx 4mV}
OPERATIONS:~{'*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'sum': 1}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'+': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_1 + Ṽ_2*Sum(Ṽ_5)**2*customfunc(-Ṽ_0**Ṽ_4 + Ṽ_3)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle V_{i}(t)=\sum _{f}\eta _{i}(t-t_{i}^{f})+\sum _{j=1}^{N}w_{ij}\sum _{f'}\varepsilon _{ij}(t-t_{j}^{f'})+V_{\mathrm {rest} }}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle t_{j}^{f'}}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(-Ṽ_0**Ṽ_2 + Ṽ_1)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta _{i}(t-t_{i}^{f})}
OPERATIONS:~{'-': 1, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~customfunc(-Ṽ_0**Ṽ_2 + Ṽ_1)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \varepsilon _{ij}(t-t_{j}^{f'})}
OPERATIONS:~{'**': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0**Ṽ_1~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle t_{j}^{f'}}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle I(t)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 0}~EQUATION:~customfunc(0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle P_{F}(t_{n})=F(V(t_{n})-\vartheta (t_{n}))}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle F(y_{n})\approx 1-\exp[y_{n}\,\Delta t]}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle V(t_{n})}
OPERATIONS:~{'-': 1, '*': 4, '+': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}, '*': {'features': {'constants': 1, 'variables': 2}, 'functions': {'customfunc': 2, 'sum': 1}, 'operators': {'*': 1, '-': 1}}, '+': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {'*': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1, '+': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 3, 'variables': 5}~EQUATION:~Ṽ_2 + Sum(Ṽ_4)*customfunc(C̈_0*Ṽ_3)*customfunc(-C̈_0*Ṽ_3 + Ṽ_1)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle V(t_{n})=\sum _{f}\eta (t_{n}-t^{f})+\sum _{m=1}^{\infty }\kappa (m\,\Delta t)I(t_{n}-m\,\Delta t)+V_{\mathrm {rest} }}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle I(t_{k})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \kappa (s)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta (s)}
OPERATIONS:~{'*': 1, '+': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'sum': 1}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'+': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_1 + Ṽ_2*Sum(Ṽ_3)**2*customfunc(0)*customfunc(Ṽ_0) + Sum(Ṽ_3)*customfunc(0)*customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle V_{i}(t_{n})=\sum _{m}\eta _{i}(t_{n}-t_{m})X_{i}(t_{m})+\sum _{j}w_{ij}\sum _{m}\varepsilon _{ij}(t_{n}-t_{m})X_{j}(t_{m})+V_{\mathrm {rest} }}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \kappa (s)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \kappa (s)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta (s)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta (s)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta (s)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta (s)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \tau _{\mathrm {m} }{\frac {dV(t)}{dt}}=RI(t)-[V(t)-E_{\mathrm {rest} }]-R\sum _{k}w_{k}}
OPERATIONS:~{'-': 2, '*': 3, '**': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {'*': 1, '**': 1}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {'customfunc': 1, 'sum': 1}, 'operators': {'*': 2}}, '**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}, 'sum': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 6}~EQUATION:~C̈_0*Ṽ_2*Sum(Ṽ_5)*customfunc(Ṽ_3 - Ṽ_3**Ṽ_4) - Ṽ_1~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \tau _{k}{\frac {dw_{k}(t)}{dt}}=-w_{k}+b_{k}\tau _{k}\sum _{f}\delta (t-t^{f})}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta (s)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Spike_response_model~WIKIEQUATION:~{\displaystyle \eta (s)}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~1/6~LINK:~/wiki/Success~WIKIEQUATION:~{\displaystyle 1/6}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle \tau {\frac {dV}{dt}}+V=f(t)}
OPERATIONS:~{}~CONDITIONAL_OPERATIONS:~{'customfunc': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 1}~EQUATION:~customfunc(Ṽ_0)~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle V=V(t).}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 1}, 'functions': {'sin': 1}, 'operators': {}}, 'sin': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 1}~EQUATION:~Ṽ_1*sin(2*C̈_0)~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle f(t)=A\sin(2\pi ft)}
OPERATIONS:~{'**': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~Ṽ_1**(C̈_0*Ṽ_2)~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle f(t)=Ae^{j\omega t},}
OPERATIONS:~{'**': 1, '/': 2}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'/': 1}}, '/': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'**': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~Ṽ_0/Ṽ_2**(Ṽ_3/C̈_1)~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle V(t)=V_{0}e^{-t/\tau }}
OPERATIONS:~{'**': 1, '/': 2}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'/': 1}}, '/': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'**': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~Ṽ_0/Ṽ_2**(Ṽ_3/C̈_1)~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle V(t)=V_{0}e^{-t/\tau }.}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0/Ṽ_1~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle V=V_{0}e^{-1}\approx 0.37V_{0}}
OPERATIONS:~{'**': 1, '/': 2}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'/': 1}}, '/': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'**': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~Ṽ_0/Ṽ_2**(Ṽ_3/C̈_1)~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle V=f(t)=V_{0}e^{-t/\tau }}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~5*C̈_0~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle t=5\tau }
OPERATIONS:~{'**': 1, '/': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '/': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~Ṽ_0/Ṽ_1**5~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle V=V_{0}e^{-5}\approx 0.0067V_{0}}
OPERATIONS:~{'**': 1, '*': 1}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~Ṽ_1**(C̈_0*Ṽ_2)~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle \tau {\frac {dV}{dt}}+V=f(t)=Ae^{j\omega t}.}
OPERATIONS:~{'**': 1, '+': 1, '*': 4, '/': 2}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'*': 1}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1, '/': 1}}, '*': {'features': {'constants': 2, 'variables': 3}, 'functions': {}, 'operators': {'*': 1, '+': 1, '**': 1}}, '/': {'features': {'constants': 3, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 5, 'variables': 4}~EQUATION:~Ṽ_4*Ṽ_4**(C̈_0*Ṽ_3)*(C̈_1*Ṽ_3 + 1/C̈_2)/C̈_2~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle V_{\infty }(t)={\frac {1/\tau }{j\omega +1/\tau }}Ae^{j\omega t}.}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {'sqrt': 1}, 'operators': {'*': 1}}, '**2': {'features': {'constants': 1, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {}}, 'sqrt': {'features': {'constants': 0, 'variables': 0}, 'functions': {'**2': 1}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~Ṽ_2*Ṽ_3*sqrt(C̈_0**2*C̈_1**2 + 1)~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle |V_{\infty }(t)|=A{\frac {1}{\tau \left(\omega ^{2}+(1/\tau )^{2}\right)^{1/2}}}=A{\frac {1}{\sqrt {1+(\omega \tau )^{2}}}}.}
OPERATIONS:~{'*': 3}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 3, 'variables': 1}, 'functions': {}, 'operators': {'*': 2}}}~SYMBOLS:~{'constants': 3, 'variables': 1}~EQUATION:~2*C̈_0*C̈_1*Ṽ_2~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle f_{\mathrm {3dB} }={\frac {1}{2\pi \tau }}.}
OPERATIONS:~{'**': 2, '-': 1, '*': 1, '+': 1, '/': 4}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {'/': 2}}, '-': {'features': {'constants': 1, 'variables': 0}, 'functions': {}, 'operators': {'/': 1}}, '*': {'features': {'constants': 0, 'variables': 1}, 'functions': {'customfunc': 1}, 'operators': {}}, '+': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'/': 1, '*': 1}}, '/': {'features': {'constants': 3, 'variables': 3}, 'functions': {}, 'operators': {'**': 2}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 4, 'variables': 6}~EQUATION:~Ṽ_0/Ṽ_2**(Ṽ_3/C̈_1) + Ṽ_4*customfunc(1 - 1/Ṽ_2**(Ṽ_3/C̈_1))~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle V(t)=V_{0}e^{-t/\tau }+A\tau \left(1-e^{-t/\tau }\right).}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*Ṽ_1~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle V_{\infty }=A\tau .}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 3}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 0, 'variables': 3}~EQUATION:~Ṽ_0*Ṽ_1*Ṽ_2~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle \tau ={\frac {L}{R}}}
OPERATIONS:~{'-': 1}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~-Ṽ_0~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle \rho c_{p}V{\frac {dT}{dt}}=-F,}
OPERATIONS:~{'-': 2}~CONDITIONAL_OPERATIONS:~{'-': {'features': {'constants': 1, 'variables': 2}, 'functions': {'customfunc': 1}, 'operators': {}}, 'customfunc': {'features': {'constants': 0, 'variables': 0}, 'functions': {'customfunc': 1}, 'operators': {'-': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~-customfunc(-Ṽ_0 + customfunc(Ṽ_1))~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle \rho c_{p}V{\frac {dT}{dt}}=-hA_{s}\left(T(t)-T_{a}\right).}
OPERATIONS:~{'*': 2}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 2}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 2}~EQUATION:~C̈_1*Ṽ_0*Ṽ_2~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle {\frac {dT}{dt}}+{\frac {1}{\tau }}T={\frac {1}{\tau }}T_{a},}
OPERATIONS:~{'*': 3}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 3}, 'functions': {}, 'operators': {'*': 2}}}~SYMBOLS:~{'constants': 1, 'variables': 3}~EQUATION:~C̈_0*Ṽ_1*Ṽ_2*Ṽ_3~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle \tau ={\frac {\rho c_{p}V}{hA_{s}}}.}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}, '**2': {'features': {'constants': 0, 'variables': 0}, 'functions': {}, 'operators': {'*': 1}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*Ṽ_3**2 + C̈_1*C̈_2*Ṽ_3~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle {\frac {d\Delta T}{dt}}+{\frac {1}{\tau }}\Delta T=0.}
OPERATIONS:~{'**': 1, '/': 2}~CONDITIONAL_OPERATIONS:~{'**': {'features': {'constants': 0, 'variables': 1}, 'functions': {}, 'operators': {'/': 1}}, '/': {'features': {'constants': 2, 'variables': 1}, 'functions': {}, 'operators': {'**': 1}}}~SYMBOLS:~{'constants': 2, 'variables': 2}~EQUATION:~C̈_0/Ṽ_2**(Ṽ_3/C̈_1)~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle \Delta T(t)=\Delta T_{0}e^{-t/\tau },}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle \tau =r_{m}c_{m}}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 0, 'variables': 2}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 0, 'variables': 2}~EQUATION:~Ṽ_0*Ṽ_1~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle V_{\textrm {max}}=r_{m}I}
OPERATIONS:~{'*': 1}~CONDITIONAL_OPERATIONS:~{'*': {'features': {'constants': 1, 'variables': 1}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 1, 'variables': 1}~EQUATION:~C̈_0*Ṽ_1~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle T_{1/2}=T_{\text{HL}}=\tau \ln 2.}
OPERATIONS:~{'/': 1}~CONDITIONAL_OPERATIONS:~{'/': {'features': {'constants': 2, 'variables': 0}, 'functions': {}, 'operators': {}}}~SYMBOLS:~{'constants': 2, 'variables': 0}~EQUATION:~1/C̈_0~LINK:~/wiki/Time_constant~WIKIEQUATION:~{\displaystyle \lambda =1/\tau }
