Examples of using Generating function in English and their translations into Portuguese
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The exponential generating function is also sometimes used.
Let formula_6 denote the family of objects and let"F"("x")be its generating function.
The generating function attributes the meaning to the other elements of the representation.
Some mathematical properties of the new class are studied including moments and generating function.
A generating function of the number of k-edge matchings in a graph is called a matching polynomial.
Let F{\displaystyle{\mathcal{F}}} denote the family of objects and let F(x)be its generating function.
Matching polynomials==A generating function of the number of"k"-edge matchings in a graph is called a matching polynomial.
Laplace then shows how, by means of interpolation,these coefficients may be determined from the generating function.
Some common operation on families of combinatorial objects and its effect on the generating function will now be developed.
The particular generating function, if any, that is most useful in a given context will depend upon the nature of the sequence and the details of the problem being addressed.
For this we analyze the asymptotic behavior of the coecients of the taylor series obtained from the generating function of the renewal sequence.
We applied a field theoretic representations of a generating function of charge counting statistics, based on the keldysh non-linear-model for analytical calculations.
It were presented some properties of the news distributions such as moments, skewness, kurtosis,moment generating function and mean deviation.
For the new distribution we calculate the moments, moment generating function, mean deviation, reliability and order statistics. we define a log-generalized gamma geometric exponentiated regression model.
It is closely related to the Euler transform,which is the result of applying the binomial transform to the sequence associated with its ordinary generating function.
The advantage of this technique is the direct calculus for the exact expression of the generating function f(z) of the problem, written as a power series.
Results for the dispersion relations have been obtained in one paper using the wigner function, although with a different formalism,known as generating function.
We found some quantities such as moments, moment generating function, quantile function and median, as well bonferroni and lorenz curves, for the proposed distribution.
If we consider unsigned versions of some mock theta functions, its general term can be interpreted as generating function for some kind of partition with restrictions.
In mathematics, a generating function is a formal power series in one indeterminate, whose coefficients encode information about a sequence of numbers"a""n" that is indexed by the natural numbers.
In all studies, general mathematical properties such as ordinary andincomplete moments, generating function, mean deviations, reliability, entropies, order statistics and their moments were discussed.
Properties of this model will be studied and demonstrated, such as the conditional distribution, the two variable joint distribution zt and zt¿¿k, covariance,conditional moment generating function and also conditional mean and variance.
The kurtosis excess may also be written as::formula_25===Moment generating function===A variety of expressions are available for the moment generating function of"X" itself.
This work presents a study about prime numbers, since basic results, like the prime number¿s in¿nity and the arithmetic fundamental theorem, to more sophisticated results, as wilson¿s theorem andit¿s consequent prime generating function.
This counting technique,called generating function, originated through the work moivre and euler whose intended purpose was to solve recurrent problems related to the partitions of an entire.
By using the concepts about hypergeometric representation of orthogonal polynomials in one variable,rodrigues formula and generating function, one can obtain orthogonal polynomials of several variables.
Let"P"("x") denote the generating function formula_17Putting the above description in words: A plane tree consists of a node to which is attached an arbitrary number of subtrees, each of which is also a plane tree.
In 1812, Laplace issued his Théorie analytique des probabilités in which he consolidated and laid down many fundamentalresults in probability and statistics such as the moment generating function, method of least squares, inductive probability, and hypothesis testing.
The probability generating function of non-negative integer-valued random variable leads to the probability generating functional being defined analogously with respect to any non-negative bounded function v{\displaystyle\textstyle v} on R d{\displaystyle\textstyle{\textbf{R}}^{d}} such that 0≤ v( x)≤ 1{\displaystyle\textstyle 0\leq v(x)\leq 1.