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Currying

In mathematics and computer science, currying (named after Haskell Curry) is the technique of translating a function that takes multiple arguments into a sequence of families of functions, each taking a single argument.

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Motivation

History

Definition

Contrast with partial function application

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Map overview Semantic statistics

Currying

Nodes136
Edges135
Triples73
Avg. degree1.99
Density0.014706
Components1

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Currying

Top relations

related to history · 14
Currying → Christopher Strachey, Curry, David Turner, Frege, Fundamental Concepts, Haskell Curry, In, John, Moses Schönfinkel, Programming Languages, Reynolds, Schönfinkel, Schönfinkelisation, The
related to Motivation · 9
Currying → All, For, Frege, Haskell, However, ML, Practical, Some, This
related to Algebraic topology · 8
Currying → Eckmann, For, Hilton, In, Omega, Sigma, The, Then
related to Logic · 8
Currying → Boolean, Curry, Distributive Heyting, Heyting, Howard, Leftrightarrow, The, Under
related to Definition · 7
Currying → Cartesian, First, Given, Here, If, Let, The
related to Function spaces · 6
Currying → Hausdorff, Here, Hom, If, In, One
related to Category theory · 4
Currying → Hom, That, The, This
related to Contrast with partial function application · 4
Currying → Given, Note, One, That
related to Lambda calculi · 4
Currying → Consider, In, Since, The
is a · 3
Currying → natural bijection between the set A B, statement that the tensor product and the internal Hom are adjoint functors, universal property of an exponential object

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Important terminology

displaystyle function functions application partial arguments curry argument one times type set theory curried example takes product categories two object

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Curryingis anatural bijection between the set A B0.90text
Curryingis auniversal property of an exponential object0.90text
Curryingis astatement that the tensor product and the internal Hom are adjoint functors0.90text
MLinstance ofThe type-theoretical approach is expressed in programming languages0.80text
the languages derived frominstance ofThe type-theoretical approach is expressed in programming languages0.80text
inspired by itinstance ofThe type-theoretical approach is expressed in programming languages0.80text
Curryingrelated to Algebraic topologyIn0.60section
Curryingrelated to Algebraic topologyEckmann0.60section
Curryingrelated to Algebraic topologyHilton0.60section
Curryingrelated to Algebraic topologyFor0.60section
Curryingrelated to Algebraic topologySigma0.60section
Curryingrelated to Algebraic topologyOmega0.60section

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