- In
functional programming, the
concept of
catamorphism (from the
Ancient Gr****: κατά "downwards" and μορφή "form, shape")
denotes the
unique homomorphism...
-
function at each node on its
terminal values and the
recursive results (
catamorphism,
versus anamorphism of unfolds).
Folds can be
regarded as consistently...
- 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...
-
algebra to an algebra:
Catamorphism An
anamorphism followed by an
catamorphism:
Hylomorphism Extension of the idea of
catamorphisms:
Paramorphism Extension...
-
algebra to an algebra:
Catamorphism From a
coalgebra to a
final coalgebra:
Anamorphism An
anamorphism followed by an
catamorphism:
Hylomorphism Extension...
-
algebra to an algebra:
Catamorphism From a
coalgebra to a
final coalgebra:
Anamorphism An
anamorphism followed by an
catamorphism:
Hylomorphism Extension...
- higher-order function, and the
visitor pattern roughly corresponds to a
catamorphism, or fold. Similarly, the idea of
immutable data from
functional programming...
-
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...
- anamorphosis, anthropomorphism, apomorphy, autapomorphy, automorphism,
catamorphism, dimorphic, dimorphism, dysmorphic, dysmorphophobia, ectomorph, ectomorphic...
-
nodes according to
their tree structure. Formally, this
operation is a
catamorphism.
Upward ac****ulation
refers to ac****ulating on each node information...