Rational number/Related Articles

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A list of Citizendium articles, and planned articles, about Rational number.
See also changes related to Rational number, or pages that link to Rational number or to this page or whose text contains "Rational number".

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  • Abelian group [r]: A group in which the group operation is commutative. [e]
  • Algebraic number field [r]: A field extension of the rational numbers of finite degree; a principal object of study in algebraic number theory. [e]
  • Algebraic number [r]: A complex number that is a root of a polynomial with rational coefficients. [e]
  • Algebra [r]: A branch of mathematics concerning the study of structure, relation and quantity. [e]
  • An elementary proof that 22 over 7 exceeds π [r]: Add brief definition or description
  • Associativity [r]: A property of an algebraic operation such as multiplication: a(bc) = (ab)c. [e]
  • Commutativity [r]: A property of a binary operation (such as addition or multiplication), that the two operands may be interchanged without affecting the result. [e]
  • Conductor of a number field [r]: Used in algebraic number theory; a modulus which determines the splitting of prime ideals. [e]
  • Connected space [r]: A topological space in which there is no non-trivial subset which is both open and closed. [e]
  • Coprime [r]: Integers, or more generally elements of a ring, which have no non-trivial common factor. [e]
  • Cubic equation [r]: A polynomial equation with of degree 3 (i.e., x3+px2+qx+r=0). [e]
  • Denseness [r]: A set is dense in another set if the closure of the former set equals the latter set. [e]
  • E (mathematics) [r]: Constant real number equal to 2.71828 18284 59045 23536... that is the base of the natural logarithms. [e]
  • Equation (mathematics) [r]: A mathematical relationship between quantities stated to be equal, seen as a problem involving variables for which the solution is the set of values for which the equality holds. [e]
  • Exponent [r]: A mathematical notation used to represent the operation of exponentiation. It is usually written as a superscript on a number or variable, called the base. For example, in the expression, the base is 5 and the exponent is 4. [e]
  • Field (mathematics) [r]: An algebraic structure with operations generalising the familiar concepts of real number arithmetic. [e]
  • Field automorphism [r]: An invertible function from a field onto itself which respects the field operations of addition and multiplication. [e]
  • Fraction (mathematics) [r]: A concept used to convey a proportional relation between a part and the whole consisting of a numerator (an integer — the part) and a denominator (a natural number — the whole). [e]
  • Group (mathematics) [r]: Set with a binary associative operation such that the operation admits an identity element and each element of the set has an inverse element for the operation. [e]
  • Heine–Borel theorem [r]: In Euclidean space of finite dimension with the usual topology, a subset is compact if and only if it is closed and bounded. [e]
  • Integer [r]: The positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. [e]
  • Integral domain [r]: A commutative ring in which the product of two non-zero elements is again non-zero. [e]
  • Irrational number [r]: A real number that cannot be expressed as a fraction, m / n, in which m and n are integers. [e]
  • Mathematics [r]: The study of quantities, structures, their relations, and changes thereof. [e]
  • Metric space [r]: Any topological space which has a metric defined on it. [e]
  • Minimal polynomial [r]: The monic polynomial of least degree which a square matrix or endomorphism satisfies. [e]
  • Natural number [r]: An element of 1, 2, 3, 4, ..., often also including 0. [e]
  • Number [r]: One of the fundamental concepts of mathematics, used for such purposes as counting, ordering, and measuring. [e]
  • Ordered field [r]: A field with a total order which is compatible with the algebraic operations. [e]
  • Ordered pair [r]: Two objects in which order is important. [e]
  • P-adic metric [r]: A metric on the rationals in which numbers are close to zero if they are divisible by a large power of a given prime p. [e]
  • Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula. [e]
  • Quadratic field [r]: A field which is an extension of its prime field of degree two. [e]
  • Rational function [r]: Function that can be expressed as a quotient of polynomials, excluding division by zero. [e]
  • Real number [r]: A limit of the Cauchy sequence of rational numbers. [e]
  • Ring (mathematics) [r]: Algebraic structure with two operations, combining an abelian group with a monoid. [e]
  • Set (mathematics) [r]: Informally, any collection of distinct elements. [e]
  • Subspace topology [r]: An assignment of open sets to a subset of a topological space. [e]
  • Transcendental number [r]: A number which is not algebraic: that is, does not satisfy any polynomial with integer or rational coefficients. [e]