isomorphy Synonyms
No Synonyms and anytonyms found
isomorphy Meaning
Wordnet
isomorphy (n)
(biology) similarity or identity of form or shape or structure
isomorphy Sentence Examples
- The topological isomorphism between the sphere and the projective plane is a fascinating example of how different objects can have the same fundamental structure.
- The mathematician David Hilbert was instrumental in developing the theory of isomorphism, which studies the relationship between different mathematical structures.
- The concept of isomorphism has applications in many areas of mathematics, including geometry, algebra, and topology.
- Two graphs are isomorphic if there is a one-to-one correspondence between their vertices that preserves the edges.
- The isomorphism between the real numbers and the complex numbers allows us to extend many of the properties of the real numbers to the complex numbers.
- The concept of isomorphism is also used in computer science to study the relationship between different data structures and algorithms.
- Isomorphisms can be used to prove theorems about mathematical structures.
- The isomorphism between the group of integers under addition and the group of rational numbers under multiplication is a classic example of how two different algebraic structures can be isomorphic.
- The isomorphism between the set of all subsets of a set and the power set of that set is a fundamental result in set theory.
- The isomorphism between the category of groups and the category of sets is a deep and important result in category theory.
FAQs About the word isomorphy
(biology) similarity or identity of form or shape or structure
No synonyms found.
No antonyms found.
The topological isomorphism between the sphere and the projective plane is a fascinating example of how different objects can have the same fundamental structure.
The mathematician David Hilbert was instrumental in developing the theory of isomorphism, which studies the relationship between different mathematical structures.
The concept of isomorphism has applications in many areas of mathematics, including geometry, algebra, and topology.
Two graphs are isomorphic if there is a one-to-one correspondence between their vertices that preserves the edges.
