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

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...

computational complexity theory, the complexity class ELEMENTARY of elementary recursive functions is the union of the classes E L E M E N T A R Y = ⋃ k...

of a given elementary function is an antiderivative (or indefinite integral) that is, itself, not an elementary function (i.e. a function constructed...

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...

In mathematics, the error function (also called the Gauss error function), often denoted by erf, is a function defined as: erf ⁡ z = 2 π ∫ 0 z e − t 2...

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...

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

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

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

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...

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

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...

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

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...

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

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

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...

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

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

had four children. Kalmar defined what are known as elementary functions, number-theoretic functions (i.e. those based on the natural numbers) built up...

the range of a function may refer to either of two closely related concepts: the codomain of the function, or the image of the function. In some cases...

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...

expression Analytic function Complex function Elementary function Function (mathematics) Generalized function List of special functions and eponyms List...

formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution. Untyped...