Sentence examples for a pair of functions from inspiring English sources

Kolmogorov invented a pair of functions to characterize the transition probabilities for a Markov process and showed that they amount to what he called an "instantaneous mean" and an "instantaneous variance".

A pair of functions is called a subsolution of (1.1)–(1.3) if (2.1).

We consider the problem of finding a pair of functions ((u r,t),f(r))).

Recently, Doric [10] extended the result of Zhang and Song using a pair of functions ψ and φ.

Problem 2 Determine a pair of functions ( u, λ ) defined in Ω that satisfies L u = λ ( x, φ ) (4).

We say that a pair of functions ((u,v) in X) is a weak solution for problem (1.1) if identity (2.8) holds for any ((varphi,psi in X).

The question on everyone's lips: How do they make a decent dress or a jacket, with sleeves, or a pair of functioning shoes for $8.98?

The input-output method considered in this paper is the admissibility of a pair of function spaces.

The contract is a pair of function (q,π) : Θ → Q × ℜ that can be viewed as a rule relating the choice of q and π about sources' type θ.

A pair of function spaces is called admissible for an evolution family on the Banach space if for every test function in the input space there exists a unique solution function in the output space for the associated integral equation given by the variation of constants formula (see Definition 3.5 below).

The objective of this paper is to obtain a mixed symmetric dual model for a class of non-differentiable multiobjective nonlinear programming problems where each of the objective functions contains a pair of support functions.