Sentence examples for sum of certain from inspiring English sources

A rigid embedding between such algebras is a direct sum of certain nondegenerate multiplicity one star-extendible embeddings.

An interplay between the sum of certain series related to harmonic numbers and certain finite trigonometric sums is investigated.

Building on these foundations, we study the compactness of the sum of certain class of weighted composition operators on the unit ball algebra, and give the characterization of compact differences of two weighted composition operators on the ball algebra.

The basic idea of the spectral methods is to express the approximate solution of the problem as a finite sum of certain basis functions (orthogonal polynomials or a combination of them) and then choose the coefficients in order to minimize the residual.

The main idea of all versions of spectral methods is to express the approximate solution of the problem as a finite sum of certain basis functions (orthogonal polynomials or a combination of them) and then choose the coefficients in order to minimize the difference between the exact and approximate solutions as well as possible.

This model states that in the network, each gene's expression change is regulated by a weighted sum of certain genes cooperatively at time t only if this weighted (combined) sum surpasses a certain threshold.

Our aim is to consider geometric properties such as starlikeness and convexity of the Cesáro partial sums of certain analytic functions in the open unit disk.

These spaces are defined as subspaces of Fp(Rn) whose elements can be expressed as finite sums of certain "generalized differences" of the form f − μ ∗ f, where fϵFp(Rn) and μϵS, where S is a set of measures.

Further noteworthy achievements in the field of mathematics are Oresme's geometric proofs of the sums of certain converging series, particularly in his Questiones super geometriam Euclidis and his Tractatus de configurationibus qualitatum et motuum (Clagett 1974, 228).

The aim of the present paper is to consider geometric properties such as starlikeness and convexity of the Cesáro partial sums of certain analytic functions in the open unit disk.

Although we-intentions are held only by individuals, they are not reducible to I-intentions; in other words, a we-intention is not merely the sum of a certain number of I-intentions.