In mathematics, an elementary function is a function of a single variable (typically real or complex) that is defined as taking sums, products, roots...
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branch of mathematical logic, elementary function arithmetic (EFA), also called elementary arithmetic and exponential function arithmetic, is the system of...
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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...
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most functions that are encountered in elementary courses of mathematics are elementary in this sense, some elementary functions are not elementary for...
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of a given elementary function is an antiderivative (or indefinite integral) that is, itself, not an elementary function (i.e. a function constructed...
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in Borwein & Borwein. The elementary functions are constructed by composing arithmetic operations, the exponential function ( exp {\displaystyle \exp...
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Closed-form expression (redirect from Closed-form function)
exponential function and polynomial roots. Functions that have a closed form for these basic functions are called elementary functions and include trigonometric...
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types of functions Elementary functions are functions built from basic operations (e.g. addition, exponentials, logarithms...) Algebraic functions are functions...
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terms of elementary (Liouvillian) functions, the first published proof did not appear until 2008. There are countably many branches of the W function, denoted...
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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...
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expressed as elementary functions. The antiderivatives of certain elementary functions cannot themselves be expressed as elementary functions. These are...
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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...
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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...
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Exponential integral (redirect from Well function)
}^{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...
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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...
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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...
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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...
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such one must have either 11 or 12 elements. Elementary function – Mathematical function Elementary function arithmetic – System of arithmetic in proof...
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Rounding (redirect from Nearest integer function)
2005-02-07. mathlib on GitHub. "libultim – ultimate correctly-rounded elementary-function library". Archived from the original on 2021-03-01. "Git - glibc...
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Gaussian integral (redirect from Integration of the normal density function)
statistical mechanics, to find its partition function. Although no elementary function exists for the error function, as can be proven by the Risch algorithm...
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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...
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Arity (redirect from 0-ary function)
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,...
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switching function, used especially in older computer science literature, and truth function (or logical function), used in logic. Boolean functions are the...
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Richardson's theorem (category Functions and mappings)
the sine function entirely. Constant problem – Problem of deciding whether an expression equals zero Elementary function – Mathematical function Tarski's...
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Integral (redirect from Integrable function)
the antiderivative of an elementary function is elementary and to compute the integral if is elementary. However, functions with closed expressions of...
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Liouvillian functions comprise a set of functions including the elementary functions and their repeated integrals. Liouvillian functions can be recursively...
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Tetration (redirect from Super-exponential function)
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...
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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...
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Antiderivative (redirect from Primitive function)
some elementary functions, it is impossible to find an antiderivative in terms of other elementary functions. To learn more, see elementary functions and...
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used interchangeably for such functions. Typical examples of analytic functions are The following elementary functions: All polynomials: if a polynomial...
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