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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]: Add brief definition or description
- Fermat's last theorem [r]: Add brief definition or description
- Field (mathematics) [r]: Add brief definition or description
- Fraction (mathematics) [r]: Add brief definition or description
- Free group [r]: Add brief definition or description
- Group (mathematics) [r]: Add brief definition or description
- Group theory [r]: Add brief definition or description
- History of music psychology [r]: Add brief definition or description
- Irrational number [r]: Add brief definition or description
- Least common multiple [r]: Add brief definition or description
- Linear equation [r]: Add brief definition or description
- Mathematics [r]: Add brief definition or description
- Measure (mathematics) [r]: Add brief definition or description
- Module [r]: Add brief definition or description
- Molecule [r]: Add brief definition or description
- Monoid [r]: Add brief definition or description
- Multiple (mathematics) [r]: Add brief definition or description
- Natural number [r]: Add brief definition or description
- Noetherian ring [r]: Add brief definition or description
- Number [r]: Add brief definition or description
- Order (group theory) [r]: Add brief definition or description
- Particle in a box [r]: Add brief definition or description
- Partition (mathematics) [r]: Add brief definition or description
- Pascal's triangle [r]: Add brief definition or description
- Pitch (music) [r]: Add brief definition or description
- Polynomial [r]: Add brief definition or description
- Prime number [r]: Add brief definition or description
- Quadratic equation [r]: Add brief definition or description
- Rational number [r]: Add brief definition or description
- Reaction rate [r]: Add brief definition or description
- Real number [r]: Add brief definition or description
- Ring (mathematics) [r]: Add brief definition or description
- Ring homomorphism [r]: Add brief definition or description
- Semigroup [r]: Add brief definition or description
- Set (mathematics) [r]: Add brief definition or description
- Simplex [r]: Add brief definition or description
- Square root of two [r]: Add brief definition or description
- Stack [r]: Add brief definition or description
- Structure (mathematical logic) [r]: Add brief definition or description
- Transcendental number [r]: Add brief definition or description
- Transitive relation [r]: Add brief definition or description
- Trigonometric function [r]: Add brief definition or description