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Directional selection can change the genotypic and phenotypic variation of a population and cause a trend toward one specific phenotype. [6] This selection is an important mechanism in the selection of complex and diversifying traits, and is also a primary force of speciation. [ 7 ]
In mathematics, the direct method in the calculus of variations is a general method for constructing a proof of the existence of a minimizer for a given functional, [1] introduced by Stanisław Zaremba and David Hilbert around 1900. The method relies on methods of functional analysis and topology. As well as being used to prove the existence of ...
The calculus of variations began with the work of Isaac Newton, such as with Newton's minimal resistance problem, which he formulated and solved in 1685, and later published in his Principia in 1687, [2] which was the first problem in the field to be formulated and correctly solved, [2] and was also one of the most difficult problems tackled by variational methods prior to the twentieth century.
He observed that the species of finches were similar enough to ostensibly have been descended from a single species. However, they exhibited disruptive variation in beak size. This variation appeared to be adaptively related to the seed size available on the respective islands (big beaks for big seeds, small beaks for small seeds).
Functions of bounded variation have been studied in connection with the set of discontinuities of functions and differentiability of real functions, and the following results are well-known. If is a real function of bounded variation on an interval [,] then
Symbolically, the method of concomitant variation can be represented as (with ± representing a shift): A B C occur together with x y z A± B C results in x± y z. ————————————————————— Therefore A and x are causally connected. Unlike the preceding four inductive methods, the method of concomitant ...
Four years ago, Oscar winner Marlee Matlin experienced the magic of a Sundance premiere virtually when the heartfelt indie “CODA” made its debut at the fest (it then sold for $25 million to ...
At that time, direct sequence data from the human genome was not sufficiently available, so he instead used 17 indirect markers, including blood group proteins. Lewontin found that the majority of the total genetic variation between humans (i.e., of the 0.1% of DNA that varies between individuals), 85.4%, is found within populations, 8.3% of ...