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This inequality is known as Hamilton's rule after W. D. Hamilton who in 1964 published the first formal quantitative treatment of kin selection. [ 2 ] [ 3 ] The relatedness parameter ( r ) in Hamilton's rule was introduced in 1922 by Sewall Wright as a coefficient of relationship that gives the probability that at a random locus , the alleles ...
The disagreement stems from a long history of confusion over what Hamilton's rule represents. Hamilton's rule gives the direction of mean phenotypic change (directional selection) so long as fitness is linear in phenotype, and the utility of Hamilton's rule is simply a reflection of when it is suitable to consider fitness as being linear in ...
When using the Hare quota, this rule is called Hamilton's method, and is the third-most common apportionment rule worldwide (after Jefferson's method and Webster's method). [ 1 ] Despite their intuitive definition, quota methods are generally disfavored by social choice theorists as a result of apportionment paradoxes .
The tie-breaking rule applies only in the limit case, so it might break the completeness. Completeness and weak-exactness together imply strong-exactness. If a complete and weakly-exact method is modified by adding an appropriate tie-breaking rule, then the resulting rule is no longer complete, but it is still strongly-exact. [9]: 13
Hamilton's principle states that the true evolution q(t) of a system described by N generalized coordinates q = (q 1, q 2, ..., q N) between two specified states q 1 = q(t 1) and q 2 = q(t 2) at two specified times t 1 and t 2 is a stationary point (a point where the variation is zero) of the action functional [] = ((), ˙ (),) where (, ˙,) is the Lagrangian function for the system.
The rule of 25 is just a different way to look at another popular retirement rule, the 4% rule. It flips the equation (100/4% = 25) to emphasize a different part of the retirement planning process ...
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The Hare quota (sometimes called the simple, ideal, or Hamilton quota) is the number of voters represented by each legislator in an idealized system of proportional representation where every vote is used to elect someone. The Hare quota is equal to the number of votes divided by the number of seats.