Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun In mathematical category theory, a generalization or abstraction of the concept of a structure-preserving function.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics an arrow in a
category . - noun mathematics a
map which preserves structure, in a way that depends on the branch of mathematics where it arises.
Etymologies
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Examples
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In fact, the notion of morphism in the category of logic systems being employed is the key to create or to block interactions.
Combining Logics Carnielli, Walter 2007
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From the categorial point of view, the process is the same as for algebraic fibring, the only difference being that the notion of morphism is stronger.
Combining Logics Carnielli, Walter 2007
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Hence a preordered set is a category in which there is at most one morphism between any two objects.
Category Theory Marquis, Jean-Pierre 2007
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On the other hand, suppose a category of logic systems in which the preservation of rules such as (*) or (**) above is required by the very notion of morphism.
Combining Logics Carnielli, Walter 2007
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Ellipses in phase space — curves of constant energy — then become isomorphism classes, because the oscillator motion is periodic, and for any A and B connected by a morphism, you can find another time evolution which takes B back into A.
Arrow of Time FAQ Sean 2007
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MILMAN, The Newton diagram of an analytic morphism, and applications to differentiable functions, Bull.
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MILMAN, The Newton diagram of an analytic morphism, and applications to differentiable functions, Bull.
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Man, according to Spinoza, believes that everything (God, nature, man himself) acts through final causes (ends, purposes) be - cause he does not know the true causes and refers all natural phenomena to himself; that is, as if nature were directed to man's benefit (anthropocentrism) by God, who is imagined to be a sort of superman (anthropo - morphism).
Dictionary of the History of Ideas ENRICO DE ANGELIS 1968
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We have stated above that, in a spatial setting, an impression of symmetry arises if a design is not changed by a group of automorphisms of the space, and we add to this that, as far as design is concerned, the underlying space is a setting for it, and any auto - morphism of the space is a certain change of this setting.
SYMMETRY AND ASYMMETRY SALOMON BOCHNER 1968
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Symbolism in poetry is animism, anthropo - morphism, inspired by the truth that the universe, nature and spirit must be one at their roots.
Dictionary of the History of Ideas REN 1968
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