Equation 20 · Part 5 · Einstein's Random Walk and the Mathematics of Genetic Drift
Symbol x^2
What this part means
The square of x: multiply x by itself.
Its job in the formula
occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Full expression→Symbol x^2→Article meaning
The passage around this formula
Motoo Kimura, at Japan’s National Institute of Genetics, made the borrowing exact rather than approximate. His 1955 paper in the Proceedings of the National Academy of Sciences solved the full time-dependent diffusion equation derived from the Wright-Fisher model, recovering not just the eventual resting distribution of an allele’s frequency but its whole transient shape as it evolves generation by generation [ 6 ] . His 1962 paper in Genetics then posed the general fixation problem as a diffusion boundary-value equation and named the lineage precisely: the question of a mutant gene’s ultimate fate was “first treated quantitatively by Fisher (1922),” with “equivalent results” reached…
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
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Sources cited in the surrounding passage
- [6] A General Solution of the Wright-Fisher Model of Random Genetic Drift ↗
- [7] On the Probability of Fixation of Mutant Genes in a Population ↗
These citations provide research context; check each source for the exact claim it supports.