Sentence examples for 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".

Clearly this linear system is uniquely solvable for each pair of functions, if and only if.

Figure 7 Accepted hypothesis and p-values of statistical tests for each pair of functions.

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

The pair of functions (f s,⋅),g(⋅,s)) = σ(s) is called a symbol of (1.1).

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

Usually each fingerprint should have its own pair of functions that can perform better.

Let (M x)), (Omega y)) be the pair of functions which are dual in the sense of Young.

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

Let (M x)) and (Omega y)) be the pair of functions which are dual in the sense of Young.

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