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 ·
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 ·
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 ·
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 ·
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 ·
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 Prime number · Coprime integers and Rational number ·
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.
Decimal and Prime number · Decimal and Rational number ·
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 ·
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.
Divisor and Prime number · Divisor and Rational number ·
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.
Egyptian fraction and Prime number · Egyptian fraction and Rational number ·
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 ·
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 ·
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 ·
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 ·
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.
Multiplicative inverse and Prime number · Multiplicative inverse and Rational number ·
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 ·
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 ·
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 ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Prime number and Real number · Rational number and Real number ·
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) ·
The list above answers the following questions
- What Prime number and Rational number have in common
- What are the similarities between Prime number and Rational number
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
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