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101 relations: Abacus, Absolute value, Abstract algebra, Addition, Alexander Thom (almanac editor), Algebra, Arithmetic, ASCII, Associative property, Backslash, Bott periodicity theorem, C (programming language), Calculator, Cancellation property, Chunking (division), Closure (mathematics), Colon (punctuation), Commutative property, Complex number, Computer algebra system, Computer program, Decimal, Derivative, Distributive property, Divisibility rule, Division algebra, Division algorithm, Division by two, Division by zero, Dublin, English language, Euclidean algorithm, Euclidean division, Extended real number line, Field (mathematics), Fraction (mathematics), Fractional part, Galley division, GNU Octave, Gottfried Wilhelm Leibniz, Greatest common divisor, Group (mathematics), Hadamard product (matrices), Hurwitz's theorem (composition algebras), Integer, Integral domain, Inverse element, Invertible matrix, ISO 80000-2, Isomorphism, ..., Johann Rahn, Limit (mathematics), Long division, Magma (algebra), Mathematical software, Mathematical table, MATLAB, Matrix (mathematics), Matrix multiplication, Modular arithmetic, Modular multiplicative inverse, Modulo operation, Moore–Penrose inverse, Multiplication, Multiplication table, Natural number, New York City, Number, Number theory, Numerical analysis, Obelus, Octonion, Order of operations, Partial function, Penguin Books, Pigeonhole principle, Polynomial, Polynomial greatest common divisor, Polynomial long division, Programming language, Quasigroup, Quaternion, Quotient, Quotient rule, Quotition and partition, Ratio, Rational number, Rationalisation (mathematics), Real number, Remainder, Repeating decimal, Ring (mathematics), Short division, Slash (punctuation), Slide rule, Subtraction, Synthetic division, Uniqueness quantification, Variable (mathematics), Vector space, 0. Expand index (51 more) »
Abacus
The abacus (plural abaci or abacuses), also called a counting frame, is a calculating tool that was in use in Europe, China and Russia, centuries before the adoption of the written Hindu–Arabic numeral system.
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Absolute value
In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.
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Abstract algebra
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.
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Addition
Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.
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Alexander Thom (almanac editor)
Alexander Thom (1801–1879) was a Scottish publisher, the founder of Thom's Irish Almanac.
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Algebra
Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.
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Arithmetic
Arithmetic (from the Greek ἀριθμός arithmos, "number") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division.
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ASCII
ASCII, abbreviated from American Standard Code for Information Interchange, is a character encoding standard for electronic communication.
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Associative property
In mathematics, the associative property is a property of some binary operations.
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Backslash
The backslash (\) is a typographical mark (glyph) used mainly in computing and is the mirror image of the common slash (/).
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Bott periodicity theorem
In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by, which proved to be of foundational significance for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres.
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C (programming language)
C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.
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Calculator
An electronic calculator is typically a portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics.
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Cancellation property
In mathematics, the notion of cancellative is a generalization of the notion of invertible.
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Chunking (division)
In mathematics education at primary school level, chunking (sometimes also called the partial quotients method) is an elementary approach for solving simple division questions, by repeated subtraction.
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Closure (mathematics)
A set has closure under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is closed under the operation.
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Colon (punctuation)
The colon is a punctuation mark consisting of two equally sized dots centered on the same vertical line.
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Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
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Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
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Computer algebra system
A computer algebra system (CAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists.
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Computer program
A computer program is a collection of instructions for performing a specific task that is designed to solve a specific class of problems.
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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.
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Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
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Distributive property
In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from boolean algebra and elementary algebra.
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Divisibility rule
A divisibility rule is a shorthand way of determining whether a given integer is divisible by a fixed divisor without performing the division, usually by examining its digits.
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Division algebra
In the field of mathematics called abstract algebra, a division algebra is, roughly speaking, an algebra over a field in which division, except by zero, is always possible.
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Division algorithm
A division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder, the result of division.
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Division by two
In mathematics, division by two or halving has also been called mediation or dimidiation.
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Division by zero
In mathematics, division by zero is division where the divisor (denominator) is zero.
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Dublin
Dublin is the capital of and largest city in Ireland.
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English language
English is a West Germanic language that was first spoken in early medieval England and is now a global lingua franca.
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Euclidean algorithm
. EXAMPLES CAN BE FOUND BELOW, E.G., IN THE "Matrix method" SECTION.
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Euclidean division
In arithmetic, Euclidean division is the process of division of two integers, which produces a quotient and a remainder smaller than the divisor.
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Extended real number line
In mathematics, the affinely extended real number system is obtained from the real number system by adding two elements: and (read as positive infinity and negative infinity respectively).
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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.
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Fraction (mathematics)
A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.
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Fractional part
The fractional part or decimal part of a non‐negative real number x is the excess beyond that number's integer part.
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Galley division
In arithmetic, the galley method, also known as the batello or the scratch method, was the most widely used method of division in use prior to 1600.
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GNU Octave
GNU Octave is software featuring a high-level programming language, primarily intended for numerical computations.
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Gottfried Wilhelm Leibniz
Gottfried Wilhelm (von) Leibniz (or; Leibnitz; – 14 November 1716) was a German polymath and philosopher who occupies a prominent place in the history of mathematics and the history of philosophy.
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Greatest common divisor
In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
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Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
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Hadamard product (matrices)
In mathematics, the Hadamard product (also known as the Schur product or the entrywise product) is a binary operation that takes two matrices of the same dimensions, and produces another matrix where each element i,j is the product of elements i,j of the original two matrices.
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Hurwitz's theorem (composition algebras)
In mathematics, Hurwitz's theorem is a theorem of Adolf Hurwitz (1859–1919), published posthumously in 1923, solving the Hurwitz problem for finite-dimensional unital real non-associative algebras endowed with a positive-definite quadratic form.
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Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
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Integral domain
In mathematics, and specifically in abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero.
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Inverse element
In abstract algebra, the idea of an inverse element generalises concepts of a negation (sign reversal) in relation to addition, and a reciprocal in relation to multiplication.
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Invertible matrix
In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular or nondegenerate) if there exists an n-by-n square matrix B such that where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
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ISO 80000-2
ISO 80000-2:2009 is a standard describing mathematical signs and symbols developed by the International Organization for Standardization (ISO), superseding ISO 31-11.
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Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
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Johann Rahn
Johann Rahn (Latinised form Rhonius) (10 March 1622 – 25 May 1676) was a Swiss mathematician who is credited with the first use of the division symbol, ÷ (obelus) and the therefore sign, ∴. The symbols were used in Teutsche Algebra, published in 1659.
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Limit (mathematics)
In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value.
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Long division
In arithmetic, long division is a standard division algorithm suitable for dividing multidigit numbers that is simple enough to perform by hand.
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Magma (algebra)
In abstract algebra, a magma (or groupoid; not to be confused with groupoids in category theory) is a basic kind of algebraic structure.
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Mathematical software
Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data.
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Mathematical table
Mathematical tables are lists of numbers showing the results of calculation with varying arguments.
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MATLAB
MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by MathWorks.
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Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
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Matrix multiplication
In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more generally, in a ring or even a semiring.
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Modular arithmetic
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).
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Modular multiplicative inverse
In mathematics, in particular the area of number theory, a modular multiplicative inverse of an integer is an integer such that the product is congruent to 1 with respect to the modulus.
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Modulo operation
In computing, the modulo operation finds the remainder after division of one number by another (sometimes called modulus).
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Moore–Penrose inverse
In mathematics, and in particular linear algebra, a pseudoinverse of a matrix is a generalization of the inverse matrix.
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Multiplication
Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.
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Multiplication table
In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system.
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Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
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New York City
The City of New York, often called New York City (NYC) or simply New York, is the most populous city in the United States.
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Number
A number is a mathematical object used to count, measure and also label.
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Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
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Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
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Obelus
An obelus (symbol: ÷ or †, plural: obeluses or obeli) is a symbol consisting of a short horizontal line with a dot above and another dot below, and in other uses it is a symbol resembling a small dagger.
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Octonion
In mathematics, the octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard bold \mathbb O. There are three lower-dimensional normed division algebras over the reals: the real numbers R themselves, the complex numbers C, and the quaternions H. The octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension.
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Order of operations
In mathematics and computer programming, the order of operations (or operator precedence) is a collection of rules that reflect conventions about which procedures to perform first in order to evaluate a given mathematical expression.
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Partial function
In mathematics, a partial function from X to Y (written as or) is a function, for some subset X ′ of X.
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Penguin Books
Penguin Books is a British publishing house.
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Pigeonhole principle
In mathematics, the pigeonhole principle states that if items are put into containers, with, then at least one container must contain more than one item.
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Polynomial
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
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Polynomial greatest common divisor
In algebra, the greatest common divisor (frequently abbreviated as GCD) of two polynomials is a polynomial, of the highest possible degree, that is a factor of both the two original polynomials.
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Polynomial long division
In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.
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Programming language
A programming language is a formal language that specifies a set of instructions that can be used to produce various kinds of output.
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Quasigroup
In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible.
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Quaternion
In mathematics, the quaternions are a number system that extends the complex numbers.
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Quotient
In arithmetic, a quotient (from quotiens "how many times", pronounced) is the quantity produced by the division of two numbers.
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Quotient rule
In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions.
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Quotition and partition
In arithmetic, quotition and partition are two ways of viewing fractions and division.
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Ratio
In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.
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Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
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Rationalisation (mathematics)
In elementary algebra, root rationalisation is a process by which radicals in the denominator of an algebraic fraction are eliminated.
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Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
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Remainder
In mathematics, the remainder is the amount "left over" after performing some computation.
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Repeating decimal
A repeating or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely-repeated portion is not zero.
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Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
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Short division
In arithmetic, short division is a division algorithm which breaks down a division problem into a series of easy steps.
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Slash (punctuation)
The slash is an oblique slanting line punctuation mark.
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Slide rule
The slide rule, also known colloquially in the United States as a slipstick, is a mechanical analog computer.
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Subtraction
Subtraction is an arithmetic operation that represents the operation of removing objects from a collection.
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Synthetic division
In algebra, synthetic division is a method of performing Euclidean division of polynomials, with less writing and fewer calculations than occur with polynomial long division.
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Uniqueness quantification
In mathematics and logic, the phrase "there is one and only one" is used to indicate that exactly one object with a certain property exists.
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Variable (mathematics)
In elementary mathematics, a variable is a symbol, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown.
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Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
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0
0 (zero) is both a number and the numerical digit used to represent that number in numerals.
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References
[1] https://en.wikipedia.org/wiki/Division_(mathematics)
