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Prime number and Rational number

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

Difference between Prime number and Rational number

Prime number vs. Rational number

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

Prime number and Rational number have 20 things in common (in Unionpedia): Absolute value (algebra), Algebraic number field, Blackboard bold, Characteristic (algebra), Coefficient, Coprime integers, Decimal, Dense set, Divisor, Egyptian fraction, Field (mathematics), Field extension, Finite set, Mathematical analysis, Multiplicative inverse, Numerical digit, Ostrowski's theorem, P-adic number, Real number, Set (mathematics).

Absolute value (algebra)

In mathematics, an absolute value is a function which measures the "size" of elements in a field or integral domain.

Absolute value (algebra) and Prime number · Absolute value (algebra) and Rational number · See more »

Algebraic number field

In mathematics, an algebraic number field (or simply number field) F is a finite degree (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector space over Q. The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory.

Algebraic number field and Prime number · Algebraic number field and Rational number · See more »

Blackboard bold

Blackboard bold is a typeface style that is often used for certain symbols in mathematical texts, in which certain lines of the symbol (usually vertical or near-vertical lines) are doubled.

Blackboard bold and Prime number · Blackboard bold and Rational number · See more »

Characteristic (algebra)

In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0.

Characteristic (algebra) and Prime number · Characteristic (algebra) and Rational number · See more »

Coefficient

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but may be any expression.

Coefficient and Prime number · Coefficient and Rational number · See more »

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.

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Decimal

The decimal numeral system (also called base-ten positional numeral system, and occasionally called denary) is the standard system for denoting integer and non-integer numbers.

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Dense set

In topology and related areas of mathematics, a subset A of a topological space X is called dense (in X) if every point x in X either belongs to A or is a limit point of A, that is the closure of A is constituting the whole set X. Informally, for every point in X, the point is either in A or arbitrarily "close" to a member of A — for instance, every real number either is a rational number or has a rational number arbitrarily close to it (see Diophantine approximation).

Dense set and Prime number · Dense 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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Egyptian fraction

An Egyptian fraction is a finite sum of distinct unit fractions, such as That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other.

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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.

Field (mathematics) and Prime number · 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.

Field extension and Prime number · Field extension and Rational number · See more »

Finite set

In mathematics, a finite set is a set that has a finite number of elements.

Finite set and Prime number · Finite set and Rational number · See more »

Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

Mathematical analysis and Prime number · Mathematical analysis and Rational number · See more »

Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.

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Numerical digit

A numerical digit is a single symbol (such as "2" or "5") used alone, or in combinations (such as "25"), to represent numbers (such as the number 25) according to some positional numeral systems.

Numerical digit and Prime number · Numerical digit and Rational number · See more »

Ostrowski's theorem

In number theory, Ostrowski's theorem, due to Alexander Ostrowski (1916), states that every non-trivial absolute value on the rational numbers Q is equivalent to either the usual real absolute value or a p-adic absolute value.

Ostrowski's theorem and Prime number · Ostrowski's theorem and Rational number · See more »

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.

P-adic number and Prime number · P-adic number and Rational number · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Set (mathematics)

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

Prime number and Set (mathematics) · Rational number and Set (mathematics) · See more »

The list above answers the following questions

Prime number and Rational number Comparison

Prime number has 340 relations, while Rational number has 93. As they have in common 20, the Jaccard index is 4.62% = 20 / (340 + 93).

References

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

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