In mathematics, the E-function was introduced by Thomas Murray MacRobert (1937–1938) to extend the generalized hypergeometric series pFq(·) to the case...

professor of mathematics at the University of Glasgow and introduced the MacRobert E function, a generalisation of the generalised hypergeometric series. He was...

kind: the generalized hypergeometric function and the MacRobert E-function had the same aim, but Meijer's G-function was able to include those as particular...

generalized hypergeometric function is linked to the Meijer G-function and the MacRobert E-function. Hypergeometric series were generalised to several variables...

is a special function on the complex plane. It is defined as one particular definite integral of the ratio between an exponential function and its argument...

The number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function. It is sometimes...

A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support...

Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not...

mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of...

In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists...

Euler, who connected them to the exponential function in the 18th century, and who also introduced the letter e as the base of natural logarithms. Logarithmic...

the inverse function of e x {\displaystyle e^{x}} , so that e ln ⁡ ( x ) = x {\displaystyle e^{\ln(x)}=x} . Because e x {\displaystyle e^{x}} is positive...

A likelihood function (often simply called the likelihood) measures how well a statistical model explains observed data by calculating the probability...

mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which...

book.....H, ISBN 978-1461471158 MacRobert, T.M. (1967), Spherical harmonics: An elementary treatise on harmonic functions, with applications, Pergamon Press...

input to a one-way function that hashes data, a password or passphrase. Salting helps defend against attacks that use precomputed tables (e.g. rainbow tables)...

series expansion of functions, and with the Euler–MacLaurin formula. These polynomials occur in the study of many special functions and, in particular...

stopped functioning; the last remaining active robot, WALL-E (Waste Allocation Load Lifter: Earth-class), has developed a personality. WALL-E remains...

quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input...

exponentiation, right-to-left, i.e. the application of exponentiation n − 1 {\displaystyle n-1} times. n is called the "height" of the function, while a is called the...

Gain-of-function research (GoF research or GoFR) is medical research that genetically alters an organism in a way that may enhance the biological functions of...

(auxiliary) function, and to a lesser degree the tertiary function. The fourth and least conscious function is always the opposite of the dominant function. Myers...

Robert Hjalmar Mellin (19 June 1854 – 5 April 1933) was a Finnish mathematician and function theorist. Mellin was born on June 19, 1854 to priest and a...

"Collections: J. E. H. MacDonald". National Gallery of Canada. Retrieved 2 February 2014. Stacey, Robert; Bishop, Hunter (15 October 1996). J.E.H. MacDonald, Designer...

point", Encyclopedia of Mathematics, EMS Press T. M. MacRobert Functions of a Complex Variable p. 243 (MacMillan, London, 1917) Teschl, Gerald (2012). Ordinary...

pair to obtain an appropriate collection (i.e. set) of shoes; this makes it possible to define a choice function directly. For an infinite collection of pairs...

Young people with poor executive functioning use e-cigarettes, cigarettes, and alcohol at higher rates than their peers. E-cigarette users are also more...

is the technique of translating a function that takes multiple arguments into a sequence of families of functions, each taking a single argument. In...

approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are widely used in the method of finite...

under k, i.e. the greatest integer less than or equal to k. It can also be represented in terms of the regularized incomplete beta function, as follows:...