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CATAMORPHISM

  • Catamorphism

    • Homomorphism from an initial algebra into another algebra

    In functional programming, the concept of catamorphism (from the Ancient Greek: κατά "downwards" and μορφή "form, shape") denotes the unique homomorphism

    Catamorphism

    Catamorphism

  • Hylomorphism (computer science)

    • Recursive function

    and the catamorphism the summation of these leaf nodes. Morphism Morphisms of F-algebras From an initial algebra to an algebra: Catamorphism From a coalgebra

    Hylomorphism (computer science)

    Hylomorphism_(computer_science)

  • Fold (higher-order function)

    • Family of higher-order functions

    function at each node on its terminal values and the recursive results (catamorphism, versus anamorphism of unfolds). Folds can be regarded as consistently

    Fold (higher-order function)

    Fold_(higher-order_function)

  • Paramorphism

    • algebra to an algebra: Catamorphism From a coalgebra to a final coalgebra: Anamorphism An anamorphism followed by an catamorphism: Hylomorphism Extension

    Paramorphism

    Paramorphism

  • Anamorphism

    • Programming function applied recursively to its previous result

    algebra to an algebra: Catamorphism An anamorphism followed by an catamorphism: Hylomorphism Extension of the idea of catamorphisms: Paramorphism Extension

    Anamorphism

    Anamorphism

  • Apomorphism

    • algebra to an algebra: Catamorphism From a coalgebra to a final coalgebra: Anamorphism An anamorphism followed by an catamorphism: Hylomorphism Extension

    Apomorphism

    Apomorphism

  • Functional programming

    • Programming paradigm based on applying and composing functions

    higher-order function, and the visitor pattern roughly corresponds to a catamorphism, or fold. Similarly, the idea of immutable data from functional programming

    Functional programming

    Functional_programming

  • MapReduce

    • Parallel programming model

    function A → B can be used for the Map operation. This means that we have a catamorphism A* → (B, •, e). Here A* denotes a Kleene star, also known as the type

    MapReduce

    MapReduce

  • List of Greek and Latin roots in English/H–O

    • anamorphosis, anthropomorphism, apomorphy, autapomorphy, automorphism, catamorphism, dimorphic, dimorphism, dysmorphic, dysmorphophobia, ectomorph, ectomorphic

    List of Greek and Latin roots in English/H–O

    List_of_Greek_and_Latin_roots_in_English/H–O

  • Tree accumulation

    • nodes according to their tree structure. Formally, this operation is a catamorphism. Upward accumulation refers to accumulating on each node information

    Tree accumulation

    Tree_accumulation

  • List of Greek and Latin roots in English/M

    • List of Greek and Latin roots in English starting with the letter M

    anamorphosis, anthropomorphism, apomorphy, autapomorphy, automorphism, catamorphism, dimorphic, dimorphism, dysmorphic, dysmorphophobia, ectomorph, ectomorphic

    List of Greek and Latin roots in English/M

    List_of_Greek_and_Latin_roots_in_English/M

  • Bird–Meertens formalism

    • Calculus for deriving computer programs

    parallelisation are considerable. This is the basis of the map-reduce approach. Catamorphism Anamorphism Paramorphism Hylomorphism Ursula Martin; Tobias Nipkow (Apr

    Bird–Meertens formalism

    Bird–Meertens_formalism

  • F-algebra

    • Function type in category theory

    like the Ackermann function. Algebras for a monad Algebraic data type Catamorphism Dialgebra The vertical arrows without labels in the second diagram must

    F-algebra

    F-algebra

    F-algebra

  • Initial algebra

    • Mathematical object

    “strong” functions like the Ackermann function. Algebraic data type Catamorphism Anamorphism Philip Wadler: Recursive types for free! University of Glasgow

    Initial algebra

    Initial_algebra

  • Attribute grammar

    • Type of formal grammar

    aspect-oriented programming to functional programming by helping writing catamorphisms compositionally. It refers to the Utrecht University Attribute Grammar

    Attribute grammar

    Attribute_grammar

  • Christopher Sequeira

    • Australian editor, writer and artist

    illustrated by David 'Hyperdave' Richardson. His graphic story "The Catamorph" featuring the eponymous hero created with Jan Scherpenhuizen appeared

    Christopher Sequeira

    Christopher_Sequeira

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