Sentence examples for define generating from inspiring English sources

Since we will define generating functions by considering the exponent sums of the generating pictures over the presentation of this semi-direct product, the first subsection is aimed to define these generating pictures and the related results about them.

By applying the p-adic q-integral equation to continuously differentiable functions on ring of p-adic integers, in this manuscript we define generating functions for new family of special numbers and polynomials.

Pitimaneeyakul et al. described a product development procedure that adapted Watkins's process: accept the problem, analyze variables, define, generate ideas, and select and implement solutions.

Kim defined generating function of as follows [12]: (2.24).

In [21], Simsek defined generating function of by (2.25).

In [3], Simsek and Acikgoz defined generating function of the Bernstein-Type Polynomials, as follows: (15).

Further, he defined generating functions of the twisted q-Bernoulli numbers and polynomials [9].

In [12], Kim defined generating functions of the -Genocchi numbers and -Euler numbers as follows: (1.6).

In [8, 20], Simsek defined generating functions, which are interpolates twisted Bernoulli numbers and polynomials, twisted Euler numbers and polynomials.

Firstly, our ligand is precisely defined, generated from chemically synthesised HPLC-purified oligonucleotides, and its purity demonstrated by PAGE and FPLC analysis.

In Theorems 2.5, 2.7 and 2.12, we have actually used i λ ( i r − 1 ) i − 1 and i λ ( i r − 1 ) k − l. as the constants of defined generating functions.