What does factor space mean?
Definitions for factor space
fac·tor space
This dictionary definitions page includes all the possible meanings, example usage and translations of the word factor space.
Wiktionary
factor spacenoun
A space obtained from another by identification of points that are equivalent to one another in some equivalence relation.
factor spacenoun
A space which is a factor (multiplicand) in a product space.
Wikipedia
factor space
In mathematics, when the elements of some set S {\displaystyle S} have a notion of equivalence (formalized as an equivalence relation), then one may naturally split the set S {\displaystyle S} into equivalence classes. These equivalence classes are constructed so that elements a {\displaystyle a} and b {\displaystyle b} belong to the same equivalence class if, and only if, they are equivalent. Formally, given a set S {\displaystyle S} and an equivalence relation ∼ {\displaystyle \,\sim \,} on S , {\displaystyle S,} the equivalence class of an element a {\displaystyle a} in S , {\displaystyle S,} denoted by [ a ] , {\displaystyle [a],} is the set of elements which are equivalent to a . {\displaystyle a.} It may be proven, from the defining properties of equivalence relations, that the equivalence classes form a partition of S . {\displaystyle S.} This partition—the set of equivalence classes—is sometimes called the quotient set or the quotient space of S {\displaystyle S} by ∼ , {\displaystyle \,\sim \,,} and is denoted by S / ∼ {\displaystyle S/{\sim }} . When the set S {\displaystyle S} has some structure (such as a group operation or a topology) and the equivalence relation ∼ {\displaystyle \,\sim \,} is compatible with this structure, the quotient set often inherits a similar structure from its parent set. Examples include quotient spaces in linear algebra, quotient spaces in topology, quotient groups, homogeneous spaces, quotient rings, quotient monoids, and quotient categories.
Anagrams for factor space »
space factor
Numerology
Chaldean Numerology
The numerical value of factor space in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of factor space in Pythagorean Numerology is: 8
Translations for factor space
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"factor space." Definitions.net. STANDS4 LLC, 2024. Web. 18 Apr. 2024. <https://www.definitions.net/definition/factor+space>.
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