Sentence examples for generalized array from inspiring English sources

In Section 5, we derive new identities related to the generalized Bernoulli polynomials, the generalized Eulerian type polynomials, generalized λ-Stirling type numbers and the generalized array polynomials.

By using the same motivation with the λ-Stirling type numbers of the second kind, we also construct a novel generating function, related to nonnegative real parameters, of the generalized array type polynomials.

Therefore, this paper deal with new classes of generating function for generalized λ-Stirling type numbers of the second kind, generalized array type polynomials and generalized Eulerian polynomials, respectively.

The first aim of this paper is to construct new generating functions for the generalized λ-Stirling type numbers of the second kind, generalized array type polynomials and generalized Eulerian type polynomials and numbers.

In Section 6, we give relations between generalized Bernoulli polynomials and generalized array polynomials.

A generalized array of N parallel phase modulators electrically driven with a progressive 2π/N phase shift is analyzed.

In the generalized suffix array, unlike the suffix array of a single string, two suffixes can be lexographically equal.

Instead of utilizing generalized nested array, we design a symmetric nested array (SNA) for mixed source localization.

To build the FM-index of ℛ, we must first compute the generalized suffix array of ℛ.

Remark 3.1 The polynomials S v n ( x ; a, b ; λ ) may be also called generalized λ-array type polynomials.

To solve this problem, we build the generalized enhanced suffix array of our sequences, i.e. the enhanced suffix array of the concatenated sequence S : = S 1 $ S 2 where $ is a special character not contained the alphabet Σ; see also Babenko and Starikovskaya (2008) for a related approach.