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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
Class_function
Programming language feature
first-class functions if it treats functions as first-class citizens. This means the language supports passing functions as arguments to other functions, returning
First-class_function
Degree of differentiability of a function or map
non-negative integer k {\displaystyle k} , a function of class C k {\displaystyle C^{k}} is a function whose derivatives of all orders up to k {\displaystyle
Smoothness
Function definition that is not bound to an identifier
anonymous function (function literal, lambda function, or block) is a function definition that is not bound to an identifier. Anonymous functions are often
Anonymous_function
Collection of sets in mathematics that can be defined based on a property of its members
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
Class_(set_theory)
special comparison functions. Class K {\displaystyle {\mathcal {K}}} functions belong to this family: Definition: a continuous function α : [ 0 , a ) → [
Class_kappa_function
Concept in programming language design
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
First-class_citizen
Technique for creating lexically scoped first class functions
lexical closure or function closure, is a technique for implementing lexically scoped name binding in a language with first-class functions. Operationally
Closure (computer programming)
Closure_(computer_programming)
Type of data structure
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
C++_classes
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
Learnable_function_class
Programming construct
first-class function objects and may even make significant use of them. Functional programming languages additionally support closures, i.e. first-class functions
Function_object
Software design pattern
be achieved by mechanisms such as the native function pointer, the first-class function, classes or class instances in object-oriented programming languages
Strategy_pattern
Function that takes one or more functions as an input or that outputs a function
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
Higher-order_function
Mathematical function whose derivative exists
or complex function of a single variable is differentiable if its derivative exists at each point in its domain. For real-valued functions of a real variable
Differentiable_function
l-values, as appropriate. R, S and T stand for a data type, and K for a class or enumeration type. Some operators have alternative spellings using digraphs
Operators_in_C_and_C++
Mathematical-logic system based on functions
mechanism of function pointers. However, function pointers are an insufficient condition for functions to be first class datatypes, because a function is a first
Lambda_calculus
Concept within complex analysis
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
Hardy_space
Negative of a convex function
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
Concave_function
Function that is continuous everywhere but differentiable nowhere
smoothness. These types of functions were disliked by contemporaries. For instance, Charles Hermite, on finding that one class of function he was working on had
Weierstrass_function
Programming mechanism
later. Such a function can always be defined but languages with first-class functions make it easier. The ability to easily compose functions encourages
Function composition (computer science)
Function_composition_(computer_science)
Concept in mathematical group theory
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
Character_theory
Association of one output to each input
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
Function_(mathematics)
Representations of finite groups, particularly on vector spaces
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
Representation theory of finite groups
Representation_theory_of_finite_groups
2011 edition of the C++ programming language standard
by std::unique_ptr. Function object base classes (std::unary_function, std::binary_function), adapters to pointers to functions and adapters to pointers
C++11
Class of mathematical functions
elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass. This class of functions is also referred
Weierstrass_elliptic_function
Type of continuity of a complex-valued function
In mathematics, we say that a function satisfies a Hölder condition, or is α {\displaystyle \alpha } -Hölder continuous or simply Hölder continuous, if
Hölder_condition
Smooth approximation of one-hot arg max
network to a probability distribution over predicted output classes. The softmax function takes as input a tuple z of K real numbers, and normalizes it
Softmax_function
Lightweight programming language
programmers to implement namespaces, classes and other related features using its single table implementation; first-class functions allow the employment of many
Lua
Extension of the factorial function
gamma function (represented by Γ {\displaystyle \Gamma } , capital Greek letter gamma) is the most common extension of the factorial function to complex
Gamma_function
Indicator function of positive numbers
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
Heaviside_step_function
Family of solutions to related differential equations
Bessel functions are a class of special functions that commonly appear in problems involving wave motion, heat conduction, and other physical phenomena
Bessel_function
Book by Thorstein Veblen
and sociology, and a critique of conspicuous consumption as a function of social class and of consumerism, which are social activities derived from the
The Theory of the Leisure Class
The_Theory_of_the_Leisure_Class
Type of function in complex analysis
mathematics, plurisubharmonic functions (sometimes abbreviated as psh, plsh, or plush functions) form an important class of functions used in complex analysis
Plurisubharmonic_function
Function space of all functions whose derivatives are rapidly decreasing
mathematics, Schwartz space S {\displaystyle {\mathcal {S}}} is the function space of all functions whose derivatives of all orders are rapidly decreasing. This
Schwartz_space
Set of rules defining correctly structured programs
built-in data types and structures, control flow mechanisms, first-class functions, and modules for better code reusability and organization. Python also
Python_syntax_and_semantics
Mathematical function having a characteristic S-shaped curve or sigmoid curve
sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the
Sigmoid_function
System with weakly-associated components
object). See First-class function for further insight into functions as objects, which qualifies as one form of first-class function. For example, in an
Loose_coupling
(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
Function_type
Generalization of "n-th" to infinite cases
cardinals, the class of limit cardinals, and the class of fixed points of the ℵ {\displaystyle \aleph } -function. In contrast, the class of regular cardinals
Ordinal_number
High-level programming language
has dynamic typing, prototype-based object-orientation, and first-class functions. It is multi-paradigm, supporting event-driven, functional, and imperative
JavaScript
Type of Dirichlet series associated to number field extensions
absolute norms of ideals. These functions were introduced in 1923 by Emil Artin, in connection with his research into class field theory. They play important
Artin_L-function
special comparison functions. Class K L {\displaystyle {\mathcal {KL}}} functions belong to this family: Definition: A continuous function β : [ 0 , a ) ×
Class_kappa-ell_function
Basic result in harmonic analysis on compact topological groups
basis of L 2 ( G ) . {\displaystyle L^{2}(G).} A function f {\displaystyle f} on G is called a class function if f ( h g h − 1 ) = f ( g ) {\displaystyle f(hgh^{-1})=f(g)}
Peter–Weyl_theorem
the classes slightly differently, by removing all functions of class less than α from the functions of class α. This means that each Baire function has
Baire_function
Function whose domain is the positive integers
prime-counting functions. This article provides links to functions of both classes. An example of an arithmetic function is the divisor function whose value
Arithmetic_function
Sigmoid shape special function
mathematics, the error function (also called the Gauss error function), often denoted by e r f {\displaystyle \mathbf {erf} } , is the function erf ( z ) = 2
Error_function
anonymous function (function literal, lambda function, or block) is a function definition that is not bound to an identifier. Anonymous functions are often
Examples of anonymous functions
Examples_of_anonymous_functions
Variable defined in a class whose objects all possess the same copy
and class members applies to methods ("member functions") as well; a class may have both instance methods and class methods. In some languages, class variables
Class_variable
Mathematical object that generalizes the standard notions of sets and functions
{mor} ({\mathcal {C}})} of morphisms or arrows, a domain or source class function dom : mor ( C ) → ob ( C ) {\displaystyle \operatorname {dom} :\operatorname
Category_(mathematics)
Mathematical concept
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
Transfinite_induction
Mechanism for supporting dynamic dispatch
method binding). Whenever a class defines a virtual function (or method), most compilers add a hidden member variable to the class that points to an array
Virtual_method_table
Programming paradigm based on applying and composing functions
running state of the program. In functional programming, functions are treated as first-class entities, meaning that they can be bound to names (including
Functional_programming
One of several equivalent definitions of a computable function
Ackermann function. Other equivalent classes of functions are the functions of lambda calculus and the functions that can be computed by Markov algorithms
General_recursive_function
Functions in mathematics
commute on this class of functions. In several ways, the harmonic functions are real analogues to holomorphic functions. All harmonic functions are analytic
Harmonic_function
Inheritable and overridable function or method for which dynamic dispatch is facilitated
being overridden by derived classes (such as the final and private keywords in Java and PHP). The concept of the virtual function solves the following problem:
Virtual_function
Programming language implementation problem
funarg problem (function argument problem) refers to the difficulty in implementing first-class functions (functions as first-class objects) in programming
Funarg_problem
Pointer that points to a function
} Functors, or function objects, are similar to function pointers, and can be used in similar ways. A functor is an object of a class type that implements
Function_pointer
Mathematical function such that every output has at least one input
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
Surjective_function
Mathematical transform that expresses a function of time as a function of frequency
takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output
Fourier_transform
Analytic function in mathematics
The Riemann zeta function or Euler–Riemann zeta function, denoted by the lowercase Greek letter ζ (zeta), is a mathematical function of a complex variable
Riemann_zeta_function
Duality between the process of restricting and inducting in representation theory
class function of G to H, and let Ind H G {\displaystyle \operatorname {Ind} _{H}^{G}} denote the induced class function of a given class function on
Frobenius_reciprocity
Words supplying mainly grammatical information, rather than content information
the structures of sentences. Words that are not function words are called content words (or open class words, lexical words, or autosemantic words) and
Function_word
Function defined by multiple sub-functions
mathematics, a piecewise function (also called a piecewise-defined function, a hybrid function, or a function defined by cases) is a function whose domain is partitioned
Piecewise_function
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
Analytic function that does not satisfy a polynomial equation
mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation whose coefficients are functions of the independent variable
Transcendental_function
Composite data type
such as System F-sub. Since type-theoretical records may contain first-class function-typed fields in addition to data, they can express many features of
Record_(computer_science)
Type of mathematical function
elementary function is a function of a single variable (real or complex) that is typically encountered by beginners. The basic elementary functions are polynomial
Elementary_function
Theorem in harmonic analysis
characters. From basic character theory, if f {\displaystyle f} is a class function, we have the Parseval formula ‖ f ‖ G 2 = ‖ f ^ ‖ G ^ 2 {\displaystyle
Plancherel_theorem
Theorem in mathematics
determinant". If the function of the theorem belongs to a higher differentiability class, the same is true for the inverse function. There are also versions
Inverse_function_theorem
Mathematical result on ordinals
proved by Oswald Veblen in 1908. A normal function is a class function f {\displaystyle f} from the class Ord of ordinal numbers to itself such that:
Fixed-point lemma for normal functions
Fixed-point_lemma_for_normal_functions
Function with a repeating pattern
A periodic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which are used to describe waves
Periodic_function
quasi-analytic class of functions is a generalization of the class of real analytic functions based upon the following fact: If f is an analytic function on an
Quasi-analytic_function
Software design pattern
member functions in the derived class. However, if base class member functions use CRTP for all member function calls, the overridden functions in the
Curiously recurring template pattern
Curiously_recurring_template_pattern
Proposed American battleship class
Zumwalt-class destroyer was developed to replace their gunfire support function, but the class was cancelled after only three ships were constructed. The Navy
Trump-class_battleship
Topological group with compact topology
(x)=\operatorname {trace} (\Pi (x)),\quad x\in K} . This function is easily seen to be a class function, i.e., X ( x y x − 1 ) = X ( y ) {\displaystyle \mathrm
Compact_group
Style of computer programming
{$endif} interface type TGenericClass<T> = class function Foo(const AValue: T): T; end; implementation function TGenericClass<T>.Foo(const AValue: T): T;
Generic_programming
Mapping which preserves all topological properties of a given space
or bicontinuous function, is a bijective and continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are
Homeomorphism
Axiomatic definition of a class of L-functions
In mathematics, the Selberg class is an axiomatic definition of a class of L-functions. The members of the class are Dirichlet series which obey four axioms
Selberg_class
Projected Turkish anti-air warfare destroyer
under construction. The class will provide survivability in the presence of aerial threat and also support mission functions such as command, control
Tepe-class_destroyer
Feature in the C++ programming language
programming language that allow functions and classes to operate with generic types. This allows a function or class declaration to reference via a generic
Template_(C++)
Indicator function of rational numbers
shows that the Dirichlet function is a Baire class 2 function. It cannot be a Baire class 1 function because a Baire class 1 function can only be discontinuous
Dirichlet_function
Mathematical function
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}
Gaussian_function
Economic and social class in the United States
OCLC 886497772. Retrieved August 21, 2018→ Values of the Working Class: function of their resources, position in occupational hierarchy, & their historical
Working class in the United States
Working_class_in_the_United_States
Concept in set theory
schema of replacement states that if F {\displaystyle F} is a definable class function, as above, and A {\displaystyle A} is any set, then the image F [ A
Axiom_schema_of_replacement
Set of all things that may be the input of a mathematical function
the unknown function(s) sought. For example, it is sometimes convenient in set theory to permit the domain of a function to be a proper class X, in which
Domain_of_a_function
Part of signal analysis and signal processing
for time–frequency signal analysis. This class is similar in formulation to Cohen's class distribution function that was used in 1966 in the context of
Bilinear time–frequency distribution
Bilinear_time–frequency_distribution
Programming style in which control is passed explicitly
a loop that iteratively invokes thunk-returning functions, can be used; without first-class functions, it is even possible to convert tail calls into
Continuation-passing_style
Real function with secant line between points above the graph itself
function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph of the function
Convex_function
Mathematical description of quantum state
In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common
Wave_function
Concept in the analysis of dynamical systems
usually under the name Foster–Lyapunov functions. For certain classes of ODEs, the existence of Lyapunov functions is a necessary and sufficient condition
Lyapunov_function
Multivalued function in mathematics
In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse
Lambert_W_function
Type of computational problem
efficiently found. In contrast, the class FP, which can be thought of as the function class analogue of P, consists of function problems for which solutions
Function_problem
Two-dimensional group theory table
conjugacy class of G {\displaystyle G} (because characters are class functions). The columns are labelled by (representatives of) the conjugacy classes of G
Character_table
Mathematical relation assigning a probability event to a cost
optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one
Loss_function
In object-oriented programming, a friend function, that is a "friend" of a given class, is a function that is given the same access as methods to private
Friend_function
Subtype of white blood cell
primarily responsible for humoral immunity (relating to antibodies). The function of T cells and B cells is to recognize specific "non-self" antigens, during
Lymphocyte
Continuous function that is not absolutely continuous
In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in
Cantor_function
Formula in number theory
theory, the class number formula relates many important invariants of an algebraic number field to a special value of its Dedekind zeta function. We start
Class_number_formula
Patterns used in computer programming
glob() (/ɡlɒb/) is a libc function for globbing, which is the archetypal use of pattern matching against the names in a filesystem directory such that
Glob_(programming)
Using one interface or symbol with regards to multiple different types
looking at the invocations, but are considered entirely distinct functions by the compiler: class AdHocPolymorphic { public String add(int x, int y) { return
Polymorphism (programming language theory)
Polymorphism_(programming_language_theory)
CLASS FUNCTION
CLASS FUNCTION
Female
English
English short form of Latin Cassandra, CASS means "she who entangles men."Â
Girl/Female
Muslim/Islamic
Glass
Girl/Female
Indian
Glass
Boy/Male
Greek Latin
People's victory.
Boy/Male
English Latin Irish Welsh
Wealthy man.
Surname or Lastname
English
English : from the medieval personal name Classe, a short form of Nicholas. See also Clayson.Variant of Klaas or Klass, North German forms of Claus.
Surname or Lastname
North German
North German : topographic name from Middle Low German plas ‘place’, ‘open square’, ‘street’.South German (also Pläss) : from a short form of the medieval personal name Blasius.English : variant of Place 3.
Girl/Female
English
Cassandra was a Trojan prophetess, daughter of King Priam. A diminutive of Casirnir, Cassandra,...
Girl/Female
Tamil
Glass
Surname or Lastname
English
English : from the medieval female personal name Cass, a short form of Cassandra. This was the name (of uncertain, possibly non-Greek, origin) of an ill-fated Trojan prophetess of classical legend, condemned to foretell the future but never be believed; her story was well known and widely popular in medieval England.
Boy/Male
Australian, Dutch, German, Greek
People's Victory
Surname or Lastname
English
English : variant of Close 1.German : variant of Kloss.
Surname or Lastname
English and German
English and German : metonymic occupational name for a glazier or glass blower, from Old English glæs ‘glass’ (akin to Glad, referring originally to the bright shine of the material), Middle High German glas.Irish and Scottish : Anglicized form of the epithet glas ‘gray’, ‘green’, ‘blue’ or any of various Gaelic surnames derived from it.German : altered form of the personal name Klass, a reduced form of Nikolaus (see Nicholas).Jewish (Ashkenazic) : ornamental name from German Glass ‘glass’, or a metonymic occupational name for a glazier or glass blower.
Girl/Female
Muslim
Glass
Girl/Female
Indian
Glass
Male
German
Short form of German Niclaus, CLAUS means "victor of the people."Â
Surname or Lastname
North German variant of Laas 2.Jewish (Ashkenazic)
North German variant of Laas 2.Jewish (Ashkenazic) : unexplained.English : nickname from Middle English lesse, lasse ‘smaller’ (from Old English lǣssa ‘less’), perhaps also used in the sense ‘younger’.
Surname or Lastname
English
English : nickname from Old French, Middle English cras ‘big’, ‘fat’ (Latin crassus).Possibly an altered spelling of German Krass.
Boy/Male
Arabic
Peace Maker; Brightness; Class
Boy/Male
Australian, Danish, Dutch, Greek, Swedish
People of Victory; Victory of the People
CLASS FUNCTION
CLASS FUNCTION
Girl/Female
Teutonic
Rich.
Male
Danish
, ornamental bear.
Girl/Female
Arabic
Tree Branch of Heaven
Boy/Male
Shakespearean
Hamlet, Prince of Denmark' A courtier. Osric.
Boy/Male
Afghan, Arabic, Muslim
Kind; Ally; Friend; Soft Hearted
Girl/Female
Greek
Plant name.
Boy/Male
Australian, Celtic, Irish
High; Mighty
Girl/Female
Muslim
Merciful, Companionate, Kind
Boy/Male
Muslim
Girl/Female
Hindu
Active, Alert and intellectual, With a beautiful mind
CLASS FUNCTION
CLASS FUNCTION
CLASS FUNCTION
CLASS FUNCTION
CLASS FUNCTION
v. t.
A drinking vessel; a tumbler; a goblet; hence, the contents of such a vessel; especially; spirituous liquors; as, he took a glass at dinner.
a.
Of the best class; of the highest rank; in the first division; of the best quality; first-rate; as, a first-class telescope.
v. t.
To case in glass.
n.
A group of individuals ranked together as possessing common characteristics; as, the different classes of society; the educated class; the lower classes.
n.
To arrange in classes; to classify or refer to some class; as, to class words or passages.
v. t.
An optical glass; a lens; a spyglass; -- in the plural, spectacles; as, a pair of glasses; he wears glasses.
n.
One of the sections into which a church or congregation is divided, and which is under the supervision of a class leader.
v. t.
To shut or fasten together with, or as with, a clasp; to shut or fasten (a clasp, or that which fastens with a clasp).
a.
Given to viewing one's self in a glass or mirror; finical.
n.
To divide into classes, as students; to form into, or place in, a class or classes.
v. t.
To smooth or polish anything, as leater, by rubbing it with a glass burnisher.
v. t.
Anything made of glass.
v. t.
To cover or furnish with glass; to glaze.
a.
Of the rank or degree below the best highest; inferior; second-rate; as, a second-class house; a second-class passage.
v. t.
A looking-glass; a mirror.
v. t.
Variant of Clasp