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...

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

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

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

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

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

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

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...

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

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...

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...

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

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}...

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...

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

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...

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

switching function, used especially in older computer science literature, and truth function (or logical function), used in logic. Boolean functions are the...

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...

some elementary functions, it is impossible to find an antiderivative in terms of other elementary functions. To learn more, see elementary functions and...

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

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

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...

must not be confused with one-to-one function, which means injective but not necessarily surjective. The elementary operation of counting establishes a...

science, arity (/ˈærɪti/ ) is the number of arguments or operands taken by a function, operation or relation. In mathematics, arity may also be called rank,...

mathematics, a codomain or set of destination of a function is a set into which all of the output of the function is constrained to fall. It is the set Y in the...

in M. If N is an elementary substructure of M, then M is called an elementary extension of N. An embedding h: N → M is called an elementary embedding of N...

used interchangeably for such functions. Typical examples of analytic functions are The following elementary functions: All polynomials: if a polynomial...

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