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Equation 23 · Part 1 · Einstein's Random Walk and the Mathematics of Genetic Drift

Symbol V

V(p)V(p)
VV

What this part means

V is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

V is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

The same second-derivative operator acts on a diffusion term in both; only the variable and the coefficient it multiplies have changed. One honest difference is worth stating rather than smoothing over: Einstein’s D is a constant, fixed once by temperature and viscosity, while Kimura’s V(p) depends on the frequency itself, so the spread is fastest near p=0.5 and vanishes at the boundaries — an allele already fixed or already lost has nothing left to drift into [ 7 ] . The operator is identical; the coefficient it acts on has learned something about the biology.

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the surrounding passage

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