Sentence examples for integral representation from inspiring English sources

Theorem 3.3 (Integral representation).

whose integral representation is given by (2.6).

Another integral representation is the following.

These integral representation formulas are powerful tools.

First, we obtain an integral representation formula for solutions.

As applications, the Riesz integral representation results are also given.

The average SER has the integral representation [31] (B.1).

We also give p-adic integral representation of these numbers.

Then, the equilibrium of Cauchy is applied to obtain an integral representation written in terms of tractions, which is the well-known hyper-singular integral representation.

We show that in the integral representation the complicated parameterization reduces to a decisive factor.

A new algorithm, derived from an integral representation, is proposed for efficient calculations.