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Cyclic group and Rational number

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

Difference between Cyclic group and Rational number

Cyclic group vs. Rational number

In algebra, a cyclic group or monogenous group is a group that is generated by a single element. 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 Cyclic group and Rational number

Cyclic group and Rational number have 11 things in common (in Unionpedia): Coprime integers, Countable set, Divisor, Field (mathematics), Field extension, Greatest common divisor, If and only if, Integer, P-adic number, Prime number, Set (mathematics).

Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

Coprime integers and Cyclic group · Coprime integers and Rational number · See more »

Countable set

In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.

Countable set and Cyclic group · Countable set 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.

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Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Cyclic group and Field (mathematics) · Field (mathematics) and Rational number · See more »

Field extension

In mathematics, and in particular, algebra, a field E is an extension field of a field F if E contains F and the operations of F are those of E restricted to F. Equivalently, F is a subfield of E. For example, under the usual notions of addition and multiplication, the complex numbers are an extension field of the real numbers; the real numbers are a subfield of the complex numbers.

Cyclic group and Field extension · Field extension and Rational number · See more »

Greatest common divisor

In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Cyclic group and Greatest common divisor · Greatest common divisor and Rational number · See more »

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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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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P-adic number

In mathematics, the -adic number system for any prime number extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems.

Cyclic group and P-adic number · P-adic number and Rational number · See more »

Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

Cyclic group and Prime number · Prime number 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.

Cyclic group and Set (mathematics) · Rational number and Set (mathematics) · See more »

The list above answers the following questions

Cyclic group and Rational number Comparison

Cyclic group has 106 relations, while Rational number has 93. As they have in common 11, the Jaccard index is 5.53% = 11 / (106 + 93).

References

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

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