In mathematics, an elementary function is a function of a single variable (typically real or complex) that is defined as taking sums, products, roots...

In recursion theory, an elementary recursive function, also called an elementary function, or a Kalmár elementary function, is a restricted form of a primitive...

branch of mathematical logic, elementary function arithmetic (EFA), also called elementary arithmetic and exponential function arithmetic, is the system of...

most functions that are encountered in elementary courses of mathematics are elementary in this sense, some elementary functions are not elementary for...

exponential function and polynomial roots. Functions that have a closed form for these basic functions are called elementary functions and include trigonometric...

terms of elementary (Liouvillian) functions, the first published proof did not appear until 2008. There are countably many branches of the W function, denoted...

expressed as elementary functions. The antiderivatives of certain elementary functions cannot themselves be expressed as elementary functions. These are...

antiderivative of a given elementary function is an antiderivative (or indefinite integral) that is, itself, not an elementary function. A theorem by Liouville...

when x is a positive integer, and no elementary function has this property, but a good solution is the gamma function f ( x ) = Γ ( x + 1 ) {\displaystyle...

In mathematics, the error function (also called the Gauss error function), often denoted by erf, is a function e r f : C → C {\displaystyle \mathrm {erf}...

}^{x}{\frac {e^{t}}{t}}\,dt.} The Risch algorithm shows that Ei is not an elementary function. The definition above can be used for positive values of x, but the...

sense that a function is computable if there exists an algorithm that can do the job of the function, i.e. given an input of the function domain it can...

{\displaystyle {\mathsf {ELEMENTARY}}} consists of the decision problems that can be solved in time bounded by an elementary recursive function. The most quickly-growing...

Elementary function Element (disambiguation) Elemental (disambiguation) This disambiguation page lists articles associated with the title Elementary. If an...

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom ⁡ ( f ) {\displaystyle \operatorname...

procedure, because it is a method for deciding whether a function has an elementary function as an indefinite integral, and if it does, for determining...

such one must have either 11 or 12 elements. Elementary function – Mathematical function Elementary function arithmetic – System of arithmetic in proof...

many elementary functions whose antiderivatives, even though they exist, cannot be expressed in terms of elementary functions. Elementary functions are...

in Borwein & Borwein. The elementary functions are constructed by composing arithmetic operations, the exponential function ( exp {\displaystyle \exp...

In computability theory, a primitive recursive function is, roughly speaking, a function that can be computed by a computer program whose loops are all...

types of functions Elementary functions are functions built from basic operations (e.g. addition, exponentials, logarithms...) Algebraic functions are functions...

In mathematics, an injective function (also known as injection, or one-to-one function ) is a function f that maps distinct elements of its domain to...

statistical mechanics, to find its partition function. Although no elementary function exists for the error function, as can be proven by the Risch algorithm...

that the concept of elementary functions is merely conventional. If we redefine elementary functions to include the error function, then under this definition...

real analytic. Most elementary functions, including the exponential function, the trigonometric functions, and all polynomial functions, extended appropriately...

surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's codomain, there...

one; however, unlike the operations before it, tetration is not an elementary function. The parameter a {\displaystyle a} is referred to as the base, while...

integrals of elementary functions. Therefore, tables of integrals usually include descriptions of special functions, and tables of special functions include...

the sine function entirely. Constant problem – Problem of deciding whether an expression equals zero Elementary function – Mathematical function Tarski's...

2005-02-07. mathlib on GitHub. "libultim – ultimate correctly-rounded elementary-function library". Archived from the original on 2021-03-01. "Git - glibc...