isomorphism

Meanings

• noun

  The property of two structures being equivalent or isomorphically related.

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Variants

List of all variants of isomorphism that leads to same result
isomorphism , isomorphisms

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Etymology

origin and the way in which meanings have changed throughout history.

From the Greek isos (equal) and morphe (form).

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. Isomorphism is a crucial concept in theoretical physics, where it is used to describe the relationship between different physical theories.

2. The study of isomorphisms between different algebraic structures is a fundamental part of abstract algebra.

3. Isomorphism is used in various fields, including computer graphics, machine learning, and database systems.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Homomorphism: A mapping between structures that preserves their internal relationships and operations.

2. Isomorphisms in mathematics: The study of isomorphisms between various mathematical structures, such as groups, rings, and fields.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

Isomorphism is a fundamental concept in mathematics and computer science, representing the preservation of structure or relationships between different systems.

How to Memorize "isomorphism"

1. visualize
   

   - Imagine two interconnected structures that maintain their shapes and relationships despite transformations.

2. associate
   

   - Associate the term 'isomorphism' with 'equivalence' or 'mapping' between structures.

3. mnemonics
   

   - Create a phrase using the first letter of each word: 'Isos' for 'isomorphic' and 'Morphe' for 'form'.

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