Set (mathematics) and Singleton (mathematics)

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Set (mathematics) and Singleton (mathematics)

Set (mathematics) vs. Singleton (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right. In mathematics, a singleton, also known as a unit set, is a set with exactly one element.

Similarities between Set (mathematics) and Singleton (mathematics)

Set (mathematics) and Singleton (mathematics) have 11 things in common (in Unionpedia): Category of sets, Class (set theory), Empty set, Group (mathematics), If and only if, Mathematics, Partition of a set, Principia Mathematica, Sequence, Set theory, Tuple.

Category of sets

In the mathematical field of category theory, the category of sets, denoted as Set, is the category whose objects are sets.

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In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share.

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Empty set

In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Partition of a set

In mathematics, a partition of a set is a grouping of the set's elements into non-empty subsets, in such a way that every element is included in one and only one of the subsets.

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Principia Mathematica

The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.

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Sequence

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.

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Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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Tuple

In mathematics, a tuple is a finite ordered list (sequence) of elements.

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The list above answers the following questions

What Set (mathematics) and Singleton (mathematics) have in common
What are the similarities between Set (mathematics) and Singleton (mathematics)

Set (mathematics) and Singleton (mathematics) Comparison

Set (mathematics) has 91 relations, while Singleton (mathematics) has 29. As they have in common 11, the Jaccard index is 9.17% = 11 / (91 + 29).

References

This article shows the relationship between Set (mathematics) and Singleton (mathematics). To access each article from which the information was extracted, please visit:

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