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ISOMORPHISM Definition & Meaning - Merriam-Webster
iso·mor·phism ˌi-sə-ˈmȯr-ˌfiz-əm. 1. : similarity in organisms of different ancestry resulting from evolutionary convergence . 2. : similarity of crystalline form between chemical compounds. www.merriam-webster.com
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Isomorphism - Wikipedia
In mathematics, an isomorphism is a structure-preserving mapping or morphism between two structures of the same type that can be reversed by an inverse mapping. en.wikipedia.org
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What's an isomorphism? : r/learnmath - Reddit
An isomorphism is a type of transformation that tells you two objects have the same structure. For example, in geometry a rotation of a shape is a type of ... www.reddit.com
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isomorphism
isomorphism (aɪsəʊˈmɔːfɪz(ə)m) [mod. (Mitscherlich, 1819) f. as prec. + -ism: in mod.F. isomorphisme.] The character of being isomorphous. 1. Chem. and Min. The property of crystallizing in the same or closely related forms, esp. as exhibited by substances of analogous composition. The general law o... Oxford English Dictionary
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What's an Isomorphism? - Mathematics Stack Exchange
Broadly speaking, isomorphisms preserve structure between objects, but what this structure is depends very much on whether you are talking about groups, vector ... math.stackexchange.com
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Isomorphism (sociology) - Wikipedia
In sociology, an isomorphism is a similarity of the processes or structure of one organization to those of another en.wikipedia.org
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Isomorphism (disambiguation)
Isomorphism or isomorph may refer to: Isomorphism, in mathematics, logic, philosophy, and information theory, a mapping that preserves the structure of the mapped entities, in particular: Graph isomorphism a mapping that preserves the edges and vertices of a graph Group isomorphism a mapping that wikipedia.org
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5.6: Isomorphisms - Mathematics LibreTexts
A linear map T is called an isomorphism if the following two conditions are satisfied ... T is onto. That is, if ... w ... W ... there exists →v∈V such ... math.libretexts.org
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Isomorphism | Group Theory, Algebraic Structures, Equivalence ...
Isomorphism, in modern algebra, a one-to-one correspondence (mapping) between two sets that preserves binary relationships between elements of the sets. www.britannica.com
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Isomorphism -- from Wolfram MathWorld
Isomorphism is a very general concept that appears in several areas of mathematics. The word derives from the Greek iso, meaning equal. mathworld.wolfram.com
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isomorphism in nLab
An isomorphism is an invertible morphism, hence a morphism with an inverse morphism. Two objects of a category are said to be isomorphic if there exists an ... ncatlab.org
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Isomorphism vs equality of graphs - Mathematics Stack Exchange
I have just started studying graph theory and having trouble with understanding the difference b/w isomorphism and equality of two graphs.According what I have studied so far, I am able to conclude that isomorphic graphs can have same diagrams when represented on paper, but equal graphs also have same diagram on paper, if that is so, then what is the difference b/w equality and isomorphism.
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Isomorphism (crystallography)
Mitscherlich's law Mitscherlich's law of isomorphism, or the law of isomorphism, is an approximate law suggesting that crystals composed of the same number of similar elements tend to demonstrate isomorphism. wikipedia.org
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Isomorphism of categories
Isomorphism of categories is a very strong condition and rarely satisfied in practice. A functor F : C → D yields an isomorphism of categories if and only if it is bijective on objects and on morphism sets. wikipedia.org
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Uniform isomorphism
An isomorphism between uniform spaces is called a uniform isomorphism. See also — an isomorphism between topological spaces — an isomorphism between metric spaces References John L. wikipedia.org
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