What does mathematical group mean?
Definitions for mathematical group
math·e·mat·i·cal group
This dictionary definitions page includes all the possible meanings, example usage and translations of the word mathematical group.
Princeton's WordNet
group, mathematical groupnoun
a set that is closed, associative, has an identity element and every element has an inverse
ChatGPT
mathematical group
A mathematical group is a set of elements combined with an operation that satisfies four fundamental conditions: closure, associativity, having an identity element, and having an inverse element. - Closure: If 'a' and 'b' belong to the group, then the result of the operation (for example, addition or multiplication) on 'a' and 'b' also belongs to the group. - Associativity: If 'a', 'b', and 'c' belong to the group, the equation '(a operation b) operation c' equals 'a operation (b operation c)' is always true. - Identity element: There exists an element within the group that, when the operation is applied with any element of the group, leaves that element unchanged. For example, 0 is the identity element for addition and 1 is identity for multiplication. - Inverse element: For each element in the group, there exists another element such that when the operation is applied to the element and its inverse, the identity element is produced.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of mathematical group in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of mathematical group in Pythagorean Numerology is: 3
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"mathematical group." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/mathematical+group>.
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