different between subset vs pseudogroup
subset
English
Etymology
sub- +? set.
Pronunciation
- (UK) IPA(key): /?s?b?s?t/
Noun
subset (plural subsets)
- (set theory, of a set S) A set A such that every element of A is also an element of S.
- 1963, David B. MacNeil, Modern Mathematics for the Practical Man, David Van Nostrand, Republished as 2013, David B. MacNeil, Fundamentals of Modern Mathematics: A Practical Review, Dover, page 3,
- In the foregoing example, the set D of the first four letters of the alphabet, was a subset of the set A of all the letters of the alphabet, because A includes all the members of D.
- 1997, Wolfgang Filter, K. Weber, Integration Theory, Chapman & Hall, page 5,
- Let be a subset of the topological space and take .
- 2007, Judith D. Sally, Paul J. Sally, Jr., Roots to Research: A Vertical Development of Mathematical Problems, American Mathematical Society, page 280,
- We say that a set has a finite partition into subsets , if , where the subsets are pairwise disjoint, that is, , if . (We do not require that the subsets be nonempty.)
- 1963, David B. MacNeil, Modern Mathematics for the Practical Man, David Van Nostrand, Republished as 2013, David B. MacNeil, Fundamentals of Modern Mathematics: A Practical Review, Dover, page 3,
- A group of things or people, all of which are in a specified larger group.
Usage notes
- (set theory):
- The subset relation is denoted ? (? for proper subset), and one writes A ? B for "A is a subset of B".
- It is permissible for A to contain no elements: the empty set is a subset of every set (including itself).
Synonyms
- subclass
Antonyms
- superclass
- superset
Derived terms
- proper subset (subset that is strictly less than the given other set)
Translations
Verb
subset (third-person singular simple present subsets, present participle subsetting, simple past and past participle subsetted)
- (transitive) To take a subset of.
- (transitive, computing, typography) To extract only the portions of (a font) that are needed to display a particular document.
subset From the web:
- what subsets does 0 belong to
- what subset is a check mark in word
- what subset is pi
- what subset means
- what subset a of the sample space represents
- what subset does pi belong to
- what subset does 8 2/3 belong to
- what subsets does 22 belong to
pseudogroup
English
Etymology
pseudo- +? group
Noun
pseudogroup (plural pseudogroups)
- (mathematics) An algebraic structure having elements that are homeomorphisms between subsets of a space
- (chemistry) Any group of the extended periodic table containing lanthanides or actinides
pseudogroup From the web:
Share
Tweet
+1
Share
Pin
Like
Send
Share
you may also like
- subset vs pseudogroup
- element vs pseudogroup
- homomorphic vs homeomorphic
- homoeomorphic vs homeomorphic
- homeomorphic vs annulus
- homeomorphic vs atlas
- homeomorphic vs handle
- luke vs leia
- scope vs feild
- force vs feild
- track vs feild
- feild vs plain
- feild vs field
- farm vs feild
- hef vs hew
- hef vs hex
- hee vs hef
- hef vs hep
- hed vs hef
- bez vs fez