# Rational number/Related Articles

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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.,
*x*^{3}+*px*^{2}+*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.
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