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Congruence relation and Rational number

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

Difference between Congruence relation and Rational number

Congruence relation vs. Rational number

In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector space) that is compatible with the structure. In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

Similarities between Congruence relation and Rational number

Congruence relation and Rational number have 9 things in common (in Unionpedia): Addition, Divisor, Equivalence class, Equivalence relation, Integer, Logical conjunction, Multiplication, Quotient, Set (mathematics).

Addition

Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.

Addition and Congruence relation · Addition and Rational number · See more »

Divisor

In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.

Congruence relation and Divisor · Divisor and Rational number · See more »

Equivalence class

In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.

Congruence relation and Equivalence class · Equivalence class and Rational number · See more »

Equivalence relation

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Logical conjunction

In logic, mathematics and linguistics, And (∧) is the truth-functional operator of logical conjunction; the and of a set of operands is true if and only if all of its operands are true.

Congruence relation and Logical conjunction · Logical conjunction and Rational number · See more »

Multiplication

Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.

Congruence relation and Multiplication · Multiplication and Rational number · See more »

Quotient

In arithmetic, a quotient (from quotiens "how many times", pronounced) is the quantity produced by the division of two numbers.

Congruence relation and Quotient · Quotient and Rational number · See more »

Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

Congruence relation and Set (mathematics) · Rational number and Set (mathematics) · See more »

The list above answers the following questions

Congruence relation and Rational number Comparison

Congruence relation has 53 relations, while Rational number has 93. As they have in common 9, the Jaccard index is 6.16% = 9 / (53 + 93).

References

This article shows the relationship between Congruence relation and Rational number. To access each article from which the information was extracted, please visit:

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