Sentence examples for beta functions within the from inspiring English sources

The instationary Probability Density Functions (PDF) of mixture fraction are described very well by Beta functions within the complete area of the open jet.

In this article, we prove several properties of the extended beta functions resembling the classical beta functions.

THE ACTIVATED, DYSFUNCTIONAL ENDOTHELIUM IS A NET PRODUCER OF SUPEROXIDE [O2'] ASSOCIATED WITH T2DM AND ATHEROSCLEROPATHY There are at least three arms in the eNOS reaction capable of producing endothelial cell dysfunction with resultant redox stress to the intima and islet resulting in atheroscleropathy and a progressive decline in beta cell function within the vulnerable islet.

Whenever p and q take non-integer values, the beta function is called the incomplete beta function.

Constraints have been introduced for the maximum field and the minimum beta function in the magnet.

where B and B x denote the beta function and the regularized beta function, respectively [33, 38].

Now, we consider the gamma and the beta functions.

The means that the two beta functions are and, respectively.

We study the log-convexity of the extended beta functions.

The corresponding distribution functions will involve incomplete beta functions.

An appendix gives gamma, beta and incomplete beta functions.