Sentence examples for of the corresponding integral from inspiring English sources

Next we give some properties of the corresponding integral operators.

We first present some properties of the corresponding integral operators.

In Section 3, some properties of the corresponding integral operators are presented.

In our numerical realization we use the matrix-free implementation of the corresponding integral operator.

Moreover, the method can be interpreted as employing a Nystrom discretization of the corresponding integral operator, with matrix entries which can be obtained explicitly and rapidly.

We first introduce some basic results on the variable exponent Lebesgue-Sobolev spaces and present some properties of the corresponding integral operators.

A rather variation of the relaxation/recycle delay (d1) has dramatic effect on the outcome of H content. Quantitative representation of a NMR active nuclei to the corresponding integral value depends primarily on the spin-lattice (or longitudinal) relaxation time (T1) for that nuclei and the d1 given during data acquisition.

A formula is derived expressing quantum Yang Mills functional integrals forΣin terms of the corresponding integrals for the surfacesΣi.

One-way-analysis of variance (ANOVA) was used for the determination of statistical significance between group means of the corresponding integrals.

Finally, one-way analysis of variance was used for the determination of statistical significance between group means of the corresponding integrals.

Calculation of the corresponding integrals in Eq.  (21) can again be performed analytically [ 30] producing, after some simple algebra: (25a) (25b) (25c) (25d) Another way of arriving at the same equations will be given in the next section.