In mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects...
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a set, set theory — as a branch of mathematics — is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory...
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In mathematics, more specifically in point-set topology, the derived set of a subset S {\displaystyle S} of a topological space is the set of all limit...
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mathematics, the algebra of sets, not to be confused with the mathematical structure of an algebra of sets, defines the properties and laws of sets,...
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any of some sets "Complement and Set Difference". web.mnstate.edu. Retrieved 2020-09-04. "Complement (set) Definition (Illustrated Mathematics Dictionary)"...
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(the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation...
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empty set. For explanation of the symbols used in this article, refer to the table of mathematical symbols. The union of two sets A and B is the set of elements...
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In mathematics, the empty set or void set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic...
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In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. Writing A = { 1 , 2 , 3 , 4 } {\displaystyle...
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Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship with other human activities. Major...
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Subset (redirect from Superset (mathematics))
In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be...
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Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory...
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The History of Mathematics: An Introduction include how to define "elements" or parts of a set, how to define unique elements in the set, and how to prove...
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In mathematics, a set is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently...
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Naive set theory is any of several theories of sets used in the discussion of the foundations of mathematics. Unlike axiomatic set theories, which are...
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bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers...
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In mathematics, an uncountable set, informally, is an infinite set that contains too many elements to be countable. The uncountability of a set is closely...
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The set of all even integers, expressed in set-builder notation. In set theory and its applications to logic, mathematics, and computer science, set-builder...
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In mathematics, the power set (or powerset) of a set S is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory (as...
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Look up set in Wiktionary, the free dictionary. Set, The Set, SET or SETS may refer to: Set (mathematics), a collection of elements Category of sets, the...
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In mathematics, particularly set theory, a finite set is a set that has a finite number of elements. Informally, a finite set is a set which one could...
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In mathematics, a singleton (also known as a unit set or one-point set) is a set with exactly one element. For example, the set { 0 } {\displaystyle \{0\}}...
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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer...
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In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function...
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Multiset (redirect from Bag (mathematics))
In mathematics, a multiset (or bag, or mset) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its...
35 KB (4,850 words) - 11:27, 18 September 2024
Venn diagram (redirect from Set diagram)
combinatorial mathematics. Boston: Addison-Wesley. p. 143. ISBN 978-0-201-72634-3. Johnson, David L. (2001). "3.3 Laws". Elements of logic via numbers and sets. Springer...
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Equivalence class (redirect from Class representative (mathematics))
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...
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In mathematics, and particularly in set theory, category theory, type theory, and the foundations of mathematics, a universe is a collection that contains...
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Set theory – Branch of mathematics that studies sets Number theory – Mathematics of integer properties Combinatorics – Branch of discrete mathematics...
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symbols used in this article, refer to the table of mathematical symbols. The intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted...
12 KB (1,737 words) - 23:16, 26 December 2023