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Equation 18 · Part 1 · Einstein's Random Walk and the Mathematics of Genetic Drift

Symbol u

u(0,t)=0u(0,t)=0
uu

What this part means

u is part of the quantity the equation computes from the expression on the right.

Its job in the formula

u is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…of a mutant gene’s ultimate fate was “first treated quantitatively by Fisher (1922),” with “equivalent results” reached independently by Haldane in 1927 and Wright in 1931 [ 7 ] . Kimura wrote the fixation probability u(p,t) as the solution of what he explicitly called the Kolmogorov backward equation, subject to the boundary conditions u(0,t)=0 and u(1,t)=1 — an allele already lost stays lost, one already fixed stays fixed [ 7 ] . That boundary structure is doing real work: it is the diffusion equation’s way of…

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

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