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morphism
(redirected from Morphisms)

    Also found in: Wikipedia 0.01 sec.
morphism [′mȯr‚fiz·əm]
(mathematics)
The class of elements which together with objects form a category; in most cases, morphisms are functions which preserve some structure on a set.
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Patterns are bound to one another by operators and morphisms to yield 'lasting mathematical structures' (Steen, 1988).
Young Australian Indigenous students' engagement with numeracy: ... by Warren, Elizabeth; deVries, Eva / Australian Journal of Education
For instance, the corresponding infinite words are precisely those that are fixed points of nontrivial morphisms.
Hopcroft's automaton minimization algorithm and Sturmian words by Berstel, Jean; Boasson, Luc; Carton, Olivier / DMTCS Proceedings
Steen (1988) articulates this relationship between patterns and mathematics thus: "Mathematical theories explain the relations among patterns; functions and maps, operators and morphisms bind on type of patterns to another to yield lasting mathematical structures.
Repeating pattern or number pattern: the distinction is blurred by Liljedahl, Peter / Focus on Learning Problems in Mathematics
 
 
 
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