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Isomorphism - Wikipedia
https://en.wikipedia.org/wiki/Isomorphism
WebIn mathematics, an isomorphism is a structure-preserving mapping between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures are isomorphic if an isomorphism exists between them. The word isomorphism is derived from the Ancient Greek: ἴσος isos "equal", and μορφή morphe …
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Isomorphic Definition & Meaning - Merriam-Webster
https://www.merriam-webster.com/dictionary/isomorphic
Web1. a. : being of identical or similar form, shape, or structure. isomorphic crystals. b. : having sporophytic and gametophytic generations alike in size and shape. 2. : related by an isomorphism. isomorphic mathematical rings. isomorphically. ˌī-sə-ˈmȯr-fi-k (ə-)lē. adverb. Examples of isomorphic in a Sentence.
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ISOMORPHIC | English meaning - Cambridge Dictionary
https://dictionary.cambridge.org/dictionary/english/isomorphic
Webadjective [ before noun ] uk / ˈaɪsəmɔːfɪk / us. Add to word list. the same or similar in structure or shape: isomorphic arrangement/pressure/power Outsourcing may create …
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Isomorphism | Group Theory, Algebraic Structures ... - Britannica
https://www.britannica.com/science/isomorphism-mathematics
WebMar 20, 2024 · Isomorphism, in modern algebra, a one-to-one correspondence (mapping) between two sets that preserves binary relationships between elements of the sets. For example, the set of natural numbers can be mapped onto the set of even natural numbers by multiplying each natural number by 2. The binary.
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Isomorphism -- from Wolfram MathWorld
https://mathworld.wolfram.com/Isomorphism.html
WebApr 13, 2024 · Isomorphism is a very general concept that appears in several areas of mathematics. The word derives from the Greek iso, meaning "equal," and morphosis, meaning "to form" or "to shape." Formally, an isomorphism is bijective morphism.
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Isomorphism Definition & Meaning - Merriam-Webster
https://www.merriam-webster.com/dictionary/isomorphism
Web1. : the quality or state of being isomorphic: such as. a. : similarity in organisms of different ancestry resulting from convergence. b. : similarity of crystalline form between chemical compounds. 2. : a one-to-one correspondence between two mathematical sets. especially : a homomorphism that is one-to-one compare endomorphism.
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5.6: Isomorphisms - Mathematics LibreTexts
https://math.libretexts.org/Bookshelves/Linear_Algebra/A_First_Course_in_Linear_Algebra_(Kuttler)/05%3A_Linear_Transformations/5.06%3A_Isomorphisms
WebSep 17, 2022 · First observe that these subspaces are both of dimension 3 and so they are isomorphic by Theorem \(\PageIndex{1}\). The three vectors which span \(W\) are easily seen to be linearly independent by making them the columns of a matrix and row reducing to the reduced row-echelon form.
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9.7: Isomorphisms - Mathematics LibreTexts
https://math.libretexts.org/Bookshelves/Linear_Algebra/A_First_Course_in_Linear_Algebra_(Kuttler)/09%3A_Vector_Spaces/9.07%3A_Isomorphisms
WebSep 17, 2022 · Hence \(\mathbb{M}_{22}\) and \(\mathbb{R}^4\) are isomorphic. An important property of isomorphisms is that the inverse of an isomorphism is itself an isomorphism and the composition of isomorphisms is an isomorphism.
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ISOMORPHIC | definition in the Cambridge English Dictionary
https://dictionary.cambridge.org/us/dictionary/english/isomorphic
Webadjective [ before noun ] uk / ˈaɪsəmɔːfɪk / us. Add to word list. the same or similar in structure or shape: isomorphic arrangement/pressure/power Outsourcing may create …
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ISOMORPHIC Definition & Meaning | Dictionary.com
https://www.dictionary.com/browse/isomorphic
WebIsomorphic definition: different in ancestry, but having the same form or appearance. See examples of ISOMORPHIC used in a sentence.
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