Sentence examples for the case of functions from inspiring English sources

This is unfortunately not true in the case of functions.

In this paper we prove this conjecture in the case of functions with one singularity.

In the case of functions derived from natural selection, he views a "virtuous" consequence as an adaptive consequence.

This was established in the case of functions of positive integers by Church and Kleene (Church 1936a, Kleene 1936).

For the sake of notational simplicity, these generalizations are described in the case of functions of two variables.

We already have the result of Hölder continuity for functions by Morrey lemma in the case of functions.

However, the R 2 test in the case of function (7) has provided a result equal to 0.81.

Since then, many studies have been done to prove the ASCLT in different situations, for example, in the case of function-typed almost sure central limit theorem (FASCLT) (see Berkes et al. [3], Ibragimov and Lifshits [4]).

(2) One usually asks for a functional equation in the case of zeta functions.

Estimates for the case of (C^{2}) functions, as well as for merely Lipschitz continuous convex functions φ, are established.

In the case of competing functions (e.g. for Cat = 0), the Boolean function for the higher level of a variable is evaluated.