Sentence examples for define a generating from inspiring English sources

The aim of this paper is to define a generating function for q-Eulerian polynomials and numbers attached to any character χ of the finite cyclic group G.

Define a generating function Z (x ) = ∑ g = 1 ∞ z g x g whose coefficients z g represent the values of E [ H 1, g, f X ] in each generation.

In general, a probability distribution function and expected value of a random variable on a time scale can be defined as follows: By using an exponential function on time scales, we can define an exponential probability density function in a general case and we can define a moment generating function by using Laplace transformations on time scales.

We define a new generated family in order to provide a "better fit" in certain practical situations.

The scheme uses the Fourier transform to reduce the original BIE defined on a surface to a sequence of BIEs defined on a generating curve for the surface.

where B l ( x ) are the Bernoulli polynomials defined by a generating function to be t e t − 1 e x t = ∑ n = 0 ∞ B n ( x ) t n n !. Therefore, by (17) and (18), we obtain the following corollary.

Consider any proper subset of the set {G1, G2, …}—{H1, H2, …}, say and define a new generating set {I*, H1, H2, …}, where I* is the property of having as essential properties just those properties which are in the newly generated set.

Problem-solving skills training consists of identifying and defining a problem, generating alternative solutions, analyzing positive and negative consequences of solutions, and carrying out a solution and subsequently evaluating the outcome.

Our purpose is to characterize among Cayley graphs defined a group generated by transpositions, which admit a complete rotation.

In this section, we define a quality measure for generated test cases.

In order to construct uniform attractors for equation (1.1), it is necessary to define a proper symbol space generated by external force (g x,t)) (see, e.g., [14]).