local u=(function(n,e)return(n==e);end)local o=(function(e,...)return e(...);end)local H=(function(n,e)return(n*e);end)local e=(function(n,e)return(ne);end)local P=(function(e,n)return(e^n);end)local ...

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The distribution function D(x), also called the cumulative distribution function (CDF) or cumulative frequency function, describes the probability that a variate X takes on a value less than or equal ...

In probability and statistics, a probability mass function (sometimes called probability function or frequency function) is a function that gives the

A normalized form of the cumulative normal distribution function giving the probability that a variate assumes a value in the range [0,x], Phi(x)=Q(x)=1/(sqrt(2pi))int_0^xe^(-t^2/2)dt. (1) It is r...

The return statement lets you specify what the function should return. For instance, if you wrote a function to calculate square roots and the function was called with 9 as the argument, the correct �...

In this paper we present a generalization of the Fox H-function called Fox-Barnes J-function. Like the Fox H-function, it is defined as a contour integral in the complex plane, but instead of an integ...

The return statement lets you specify what the function should return. For instance, if you wrote a function to calculate square roots and the function was called with 9 as the argument, the correct �...

The get keyword will bind an object property to a function. When this property is looked up now the getter function is called. The return value of the getter function then determines which property is...

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Use this Function Grapher Online to type in the function you want to plot. Most common functions are understood by this graph calculator.

We revisit the periodic complexity function $h_{\bf w}(n)$ introduced by Mignosi and Restivo. This function gives the average of the first $n$ local periods of a recurrent infinite word ${\bf w}$. We ...

This article examines the Thomae function, a paradigmatic example of a function that is continuous on the irrationals and discontinuous elsewhere. Defined for a parameter $θ>0$, it exhibits a rich se...

An exact expression for the leading-order (LO) gluon distribution function $G(x,Q^2)=xg(x,Q^2)$ from the DGLAP evolution equation for the proton structure function $F_2^{γp}(x,Q^2)$ for deep inelasti...

This is the English translation of my old paper 'Definición y estudio de una función indefinidamente diferenciable de soporte compacto', Rev. Real Acad. Ciencias 76 (1982) 21-38. In it a function (e...

For a generic (polynomial) one-parameter deformation of a complete intersection, there is defined its monodromy zeta-function. We provide explicit formulae for this zeta-function in terms of the corre...

The reliability function of variable-rate Slepian-Wolf coding is linked to the reliability function of channel coding with constant composition codes, through which computable lower and upper bounds a...

In Part I an odd meromorphic function f(s) has been constructed from the Riemann zeta-function evaluated at one-half plus s. The conjunction of the Riemann hypothesis and hypotheses advanced by the au...