representation theory of groups, a class function is a function on a group G that is constant on the conjugacy classes of G. In other words, it is invariant...
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first-class functions if it treats functions as first-class citizens. This means the language supports passing functions as arguments to other functions, returning...
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Smoothness (redirect from Smooth function)
of a function is a property measured by the number of continuous derivatives (differentiability class) it has over its domain. A function of class C k...
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special comparison functions. Class K {\displaystyle {\mathcal {K}}} functions belong to this family: Definition: a continuous function α : [ 0 , a ) → [...
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with first-class functions, where they fulfil the same role for the function type as literals do for other data types. Anonymous functions originate in...
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Closure (computer programming) (redirect from Function closure)
lexical closure or function closure, is a technique for implementing lexically scoped name binding in a language with first-class functions. Operationally...
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passed as an argument, returned from a function, and assigned to a variable. The concept of first- and second-class objects was introduced by Christopher...
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first-class function objects and may even make significant use of them. Functional programming languages additionally support closures, i.e. first-class functions...
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In statistical learning theory, a learnable function class is a set of functions for which an algorithm can be devised to asymptotically minimize the expected...
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computer science, a higher-order function (HOF) is a function that does at least one of the following: takes one or more functions as arguments (i.e. a procedural...
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(exponentially many) set-theoretic functions mappings A to B in the category of sets. The class of such maps or functions is called the exponential object...
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Hardy space (redirect from Outer function)
complex analysis, the Hardy spaces (or Hardy classes) H p {\displaystyle H^{p}} are spaces of holomorphic functions on the unit disk or upper half plane. They...
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be thought of as "classes". In ZF, the concept of a function can also be generalised to classes. A class function is not a function in the usual sense...
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derivative is also a continuous function over the domain of the function f {\textstyle f} . Generally speaking, f is said to be of class C k {\displaystyle C^{k}}...
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collectively referred to as non-union classes) that has data and functions (also called member variables and member functions) as its members whose access is...
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special comparison functions. Class K L {\displaystyle {\mathcal {KL}}} functions belong to this family: Definition: A continuous function β : [ 0 , a ) ×...
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be achieved by mechanisms such as the native function pointer, the first-class function, classes or class instances in object-oriented programming languages...
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a concave function is any function for which the hypograph is convex. The class of concave functions is in a sense the opposite of the class of convex...
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of functions on groups: Definition (Class functions). A function φ : G → C {\displaystyle \varphi :G\to \mathbb {C} } is called a class function if it...
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homomorphism in general. Characters are class functions, that is, they each take a constant value on a given conjugacy class. More precisely, the set of irreducible...
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funarg problem (function argument problem) refers to the difficulty in implementing first-class functions (functions as first-class objects) in programming...
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later. Such a function can always be defined but languages with first-class functions make it easier. The ability to easily compose functions encourages...
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Given a class function G: V → V (where V is the class of all sets), there exists a unique transfinite sequence F: Ord → V (where Ord is the class of all...
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class, which it can use to create a new function interface to a target class. An extension function will appear exactly like a function of the class and...
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smoothness. These types of functions were disliked by contemporaries: Charles Hermite, on finding that one class of function he was working on had such...
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mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the...
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the aims of proposed non-abelian class field theory is to incorporate the complex-analytic nature of Artin L-functions into a larger framework, such as...
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of the general class of step functions, all of which can be represented as linear combinations of translations of this one. The function was originally...
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Ackermann function. Other equivalent classes of functions are the functions of lambda calculus and the functions that can be computed by Markov algorithms...
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class is a set containing one element (singleton set). Functions that are constant for members of the same conjugacy class are called class functions...
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