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Used in 174 equations

∂p(x,t)∂t=−∂∂x[μ(x,t) p(x,t)]+∂2∂x2[D(x,t) p(x,t)],\frac{\partial p(x,t)}{\partial t} = -\frac{\partial}{\partial x}\big[\mu(x,t)\,p(x,t)\big] + \frac{\partial^{2}}{\partial x^{2}}\big[D(x,t)\,p(x,t)\big],

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 13

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

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∂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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