Sentence examples for an associated function from inspiring English sources

Birch and Swinnerton-Dyer conjecture, in mathematics, the conjecture that an elliptic curve (a type of cubic curve, or algebraic curve of order 3, confined to a region known as a torus) has either an infinite number of rational points (solutions) or a finite number of rational points, according to whether an associated function is equal to zero or not equal to zero, respectively.

The role of vitamin D epimers is yet to be elucidated but their presence is likely to have an associated function [14].

For any real-valued function f defined on the segment ([x,y]), there exists an associated function (g_{x,y}: [0,1] rightarrowmathbb{R}) with g_{x,y}(t)=fbigl[ 1-t x+tybigr].

Note that for any constant c, ϕ n ( x ) + c y n ( x ) is also an associated function corresponding to λ n, since one can easily verify that it satisfies the equation and boundary conditions for the associated functions.

Writing m ( a, b ) = a m ( 1, b / a ), we then associate to m a unique positive function f defined by f ( x ) = m ( 1, x ) for all x > 0. The function f will be called an associated function to the mean m, or we simply say that f corresponds to the mean m.

Taken together, these data demonstrate a previously unrecognized role of PYY in mediating intestinal Gpr119 activity and an associated function in controlling glucose tolerance.

These studies strengthen the view that YqeH performs a ribosome associated function.

While functional roles of septins can be associated with their cytoplasmic localization, the role of SEPT9 isoforms in the nucleus is less clear, although SEPT9_i1 stabilization of JNK may be a nuclear associated function [ 19].

Finally, a method based on the evidence theory is applied to build simultaneously a probability density function and an associated possibility function.

Now, let us observe the next question : under which sufficient condition a given function f is the associated function of a certain mean?

Assume that is a complete metric space,, and is a weakly Kannan map with associated function satisfying (2.1).