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Integer/Related Articles

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

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  • 0 (number) [r]: A real number and is the integer between 1 and -1, which signifies a value of nothing. [e]
  • Abelian group [r]: A group in which the group operation is commutative. [e]
  • Adder (electronics) [r]: A digital circuit that performs integer addition in the Arithmetic Logic Unit in a computer. [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]
  • Arithmetic function [r]: A function defined on the set of positive integers, usually with integer, real or complex values, studied in number theory. [e]
  • Associativity [r]: A property of an algebraic operation such as multiplication: a(bc) = (ab)c. [e]
  • Basis (linear algebra) [r]: A set of vectors that, in a linear combination, can represent every vector in a given vector space or free module, and such that no element of the set can be represented as a linear combination of the others. [e]
  • Bijective function [r]: A function in which each possible output value corresponds to exactly one input value. [e]
  • Binomial theorem [r]: for any natural number n. [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]
  • Countable set [r]: A set with as many elements as there are natural numbers, or less. [e]
  • Cubic reciprocity [r]: Various results connecting the solvability of two related cubic equations in modular arithmetic, generalising the concept of quadratic reciprocity. [e]
  • Cyclic group [r]: A group consisting of the powers of a single element. [e]
  • Cyclotomic polynomial [r]: A polynomial whose roots are primitive roots of unity. [e]
  • Data structure [r]: A means of specifying how information is arranged on storage media for processing. [e]
  • Diophantine equation [r]: Equation in which the unknowns are required to be integers. [e]
  • Divisibility [r]: A concept in elementary arithmetic dealing with integers as products of integers [e]
  • Divisor [r]: The quantity by which another quantity is divided in the operation of division. [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]
  • Equivalence relation [r]: A reflexive symmetric transitive binary relation on a set. [e]
  • Euclid's lemma [r]: A prime number that divides a product of two integers must divide one of the two integers. [e]
  • Euclidean algorithm [r]: Algorithm for finding the greatest common divisor of two integers [e]
  • Exact sequence [r]: A sequence of algebraic objects and morphisms which is used to describe or analyse algebraic structure. [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]
  • Fermat's last theorem [r]: Theorem that the equation an + bn = cn has no solutions in positive integers a, b, c if n is an integer greater than 2. [e]
  • Field (mathematics) [r]: An algebraic structure with operations generalising the familiar concepts of real number arithmetic. [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]
  • Free group [r]: A group in which there is a generating set such that every element of the group can be written uniquely as the product of generators. [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]
  • Group theory [r]: Branch of mathematics concerned with groups and the description of their properties. [e]
  • History of music psychology [r]: Description of the historical development of research in music psychology. [e]
  • Irrational number [r]: A real number that cannot be expressed as a fraction, m / n, in which m and n are integers. [e]
  • Least common multiple [r]: The smallest integer which is divided evenly by all given numbers. [e]
  • Linear equation [r]: Algebraic equation, such as y = 2x + 7 or 3x + 2y − z = 4, in which the highest degree term in the variable or variables is of the first degree. [e]
  • Mathematics [r]: The study of quantities, structures, their relations, and changes thereof. [e]
  • Measure (mathematics) [r]: Systematic way to assign to each suitable subset a number, intuitively interpreted as the size of the subset. [e]
  • Module [r]: Mathematical structure of which abelian groups and vector spaces are particular types. [e]
  • Molecule [r]: An aggregate of two or more atoms in a definite arrangement held together by chemical bonds. [e]
  • Monoid [r]: An algebraic structure with an associative binary operation and an identity element. [e]
  • Multiple (mathematics) [r]: The product of an integer with another integer. [e]
  • Natural number [r]: An element of 1, 2, 3, 4, ..., often also including 0. [e]
  • Noetherian ring [r]: A ring satisfying the ascending chain condition on ideals; equivalently a ring in which every ideal is finitely generated. [e]
  • Number [r]: One of the fundamental concepts of mathematics, used for such purposes as counting, ordering, and measuring. [e]
  • Order (group theory) [r]: For a group, its cardinality; for an element of a group, the least positive integer (if one exists) such that raising the element to that power gives the identity. [e]
  • Particle in a box [r]: A system in quantum mechanics used to illustrate important features of quantum mechanics, such as quantization of energy levels and the existence of zero-point energy. [e]
  • Partition (mathematics) [r]: Concepts in mathematics which refer either to a partition of a set or an ordered partition of a set, or a partition of an integer, or a partition of an interval. [e]
  • Pascal's triangle [r]: A convenient tabular presentation for the binomial coefficients. [e]
  • Pitch (music) [r]: Perceived frequency of a sound or musical tone. [e]
  • Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula. [e]
  • Prime number [r]: A number that can be evenly divided by exactly two positive whole numbers, namely one and itself. [e]
  • Quadratic equation [r]: An equation of the form ax2 + bx + c = 0 where a, b and c are constants. [e]
  • Rational number [r]: A number that can be expressed as a ratio of two integers. [e]
  • Reaction rate [r]: The amount of reactant or product that is formed or removed (in moles or mass units) per unit time per unit volume, in a particular reaction. [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]
  • Ring homomorphism [r]: Function between two rings which respects the operations of addition and multiplication. [e]
  • Semigroup [r]: An algebraic structure with an associative binary operation. [e]
  • Set (mathematics) [r]: Informally, any collection of distinct elements. [e]
  • Simplex [r]: A geometrical body, generalization of the triangle (plane) and the 3-sided pyramid (space) to arbitrary dimensions. [e]
  • Square root of two [r]: The positive real number that, when multiplied by itself, gives the number 2. [e]
  • Stack [r]: Abstract data type in computer science that supports last-in first-out (LIFO) access to its contents. [e]
  • Structure (mathematical logic) [r]: A set along with a collection of finitary functions and relations which are defined on it. [e]
  • Transcendental number [r]: A number which is not algebraic: that is, does not satisfy any polynomial with integer or rational coefficients. [e]
  • Transitive relation [r]: A relation with the property that if x→y and y→z then x→z. [e]
  • Trigonometric function [r]: Function of an angle expressed as the ratio of two of the sides of a right triangle that contains that angle; the sine, cosine, tangent, cotangent, secant, and cosecant. [e]