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NN

This entry links every published equation using this exact notation. Its meaning may change between equations.

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Used in 152 equations

∂ϕ(p,t)∂t=12 ∂2∂p2[V(p) ϕ(p,t)],V(p)=p(1−p)2N(Kimura, 1955/1962)\frac{\partial \phi(p,t)}{\partial t} = \frac{1}{2}\,\frac{\partial^{2}}{\partial p^{2}}\Big[V(p)\,\phi(p,t)\Big], \quad V(p) = \frac{p(1-p)}{2N} \qquad \text{(Kimura, 1955/1962)}

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 21

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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DK⋅DK⋅M⋅DF⋅DF+M⋅N⋅DF⋅DFDK⋅DK⋅M⋅N⋅DF⋅DF=1N+1DK2\frac{D_K \cdot D_K \cdot M \cdot D_F \cdot D_F + M \cdot N \cdot D_F \cdot D_F}{D_K \cdot D_K \cdot M \cdot N \cdot D_F \cdot D_F} = \frac{1}{N} + \frac{1}{D_K^2}

A History of Small and On-Device AI · Equation 6

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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vℓ=1∣P∣∑i∈Phℓ(xi+)  −  1∣N∣∑i∈Nhℓ(xi−),hℓ←hℓ+α vℓ,v_\ell = \frac{1}{|P|}\sum_{i \in P} h_\ell(x_i^{+}) \;-\; \frac{1}{|N|}\sum_{i \in N} h_\ell(x_i^{-}), \qquad h_\ell \leftarrow h_\ell + \alpha\, v_\ell,

Probing, Sparse Autoencoders, Patching, and Steering: The Main Interpretability Methods, Compared · Equation 25

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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