Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Install
Faster access than browser!
 

Multiplicative inverse

Index Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. [1]

68 relations: Absolute value, Additive inverse, Algebra over a field, Algorithm, Bitwise operation, Calculus, Cavalieri's quadrature formula, Complex conjugate, Complex number, Constructivism (mathematics), Coprime integers, Cryptologia, Derivative, Determinant, Division (mathematics), Division algebra, Division algorithm, Division by zero, Division ring, E (mathematical constant), Encyclopædia Britannica, Euclid, Euclid's Elements, Exponential decay, Extended Euclidean algorithm, Field (mathematics), Finite set, Fraction (mathematics), Fractional part, French language, Group (mathematics), Henry Billingsley, Hyperbola, If and only if, Imaginary unit, Injective function, Integer, Inverse element, Inverse function, Inverse trigonometric functions, Involution (mathematics), Irrational number, List of sums of reciprocals, Long division, Mathematics, Maxima and minima, Modular arithmetic, Modular multiplicative inverse, Multiplication, Natural logarithm, ..., Newton's method, Power rule, Pseudorandomness, Rational number, Real number, Repeating decimal, Ring (mathematics), Safe prime, Sedenion, Square matrix, Surjective function, Trigonometric functions, Unit fraction, Zero divisor, Zero of a function, 0, 1, 6-sphere coordinates. Expand index (18 more) »

Absolute value

In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.

New!!: Multiplicative inverse and Absolute value · See more »

Additive inverse

In mathematics, the additive inverse of a number is the number that, when added to, yields zero.

New!!: Multiplicative inverse and Additive inverse · See more »

Algebra over a field

In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product.

New!!: Multiplicative inverse and Algebra over a field · See more »

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

New!!: Multiplicative inverse and Algorithm · See more »

Bitwise operation

In digital computer programming, a bitwise operation operates on one or more bit patterns or binary numerals at the level of their individual bits.

New!!: Multiplicative inverse and Bitwise operation · See more »

Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

New!!: Multiplicative inverse and Calculus · See more »

Cavalieri's quadrature formula

In calculus, Cavalieri's quadrature formula, named for 17th-century Italian mathematician Bonaventura Cavalieri, is the integral and generalizations thereof.

New!!: Multiplicative inverse and Cavalieri's quadrature formula · See more »

Complex conjugate

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

New!!: Multiplicative inverse and Complex conjugate · See more »

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.

New!!: Multiplicative inverse and Complex number · See more »

Constructivism (mathematics)

In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a mathematical object to prove that it exists.

New!!: Multiplicative inverse and Constructivism (mathematics) · See more »

Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

New!!: Multiplicative inverse and Coprime integers · See more »

Cryptologia

Cryptologia is a journal in cryptography published quarterly since January 1977.

New!!: Multiplicative inverse and Cryptologia · See more »

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).

New!!: Multiplicative inverse and Derivative · See more »

Determinant

In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.

New!!: Multiplicative inverse and Determinant · See more »

Division (mathematics)

Division is one of the four basic operations of arithmetic, the others being addition, subtraction, and multiplication.

New!!: Multiplicative inverse and Division (mathematics) · See more »

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.

New!!: Multiplicative inverse and Division algebra · See more »

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.

New!!: Multiplicative inverse and Division algorithm · See more »

Division by zero

In mathematics, division by zero is division where the divisor (denominator) is zero.

New!!: Multiplicative inverse and Division by zero · See more »

Division ring

In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible.

New!!: Multiplicative inverse and Division ring · See more »

E (mathematical constant)

The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.

New!!: Multiplicative inverse and E (mathematical constant) · See more »

Encyclopædia Britannica

The Encyclopædia Britannica (Latin for "British Encyclopaedia"), published by Encyclopædia Britannica, Inc., is a general knowledge English-language encyclopaedia.

New!!: Multiplicative inverse and Encyclopædia Britannica · See more »

Euclid

Euclid (Εὐκλείδης Eukleidēs; fl. 300 BC), sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry".

New!!: Multiplicative inverse and Euclid · See more »

Euclid's Elements

The Elements (Στοιχεῖα Stoicheia) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.

New!!: Multiplicative inverse and Euclid's Elements · See more »

Exponential decay

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

New!!: Multiplicative inverse and Exponential decay · See more »

Extended Euclidean algorithm

In arithmetic and computer programming, the extended Euclidean algorithm is an extension to the Euclidean algorithm, and computes, in addition to the greatest common divisor of integers a and b, also the coefficients of Bézout's identity, which are integers x and y such that This is a certifying algorithm, because the gcd is the only number that can simultaneously satisfy this equation and divide the inputs.

New!!: Multiplicative inverse and Extended Euclidean algorithm · See more »

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.

New!!: Multiplicative inverse and Field (mathematics) · See more »

Finite set

In mathematics, a finite set is a set that has a finite number of elements.

New!!: Multiplicative inverse and Finite set · See more »

Fraction (mathematics)

A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.

New!!: Multiplicative inverse and Fraction (mathematics) · See more »

Fractional part

The fractional part or decimal part of a non‐negative real number x is the excess beyond that number's integer part.

New!!: Multiplicative inverse and Fractional part · See more »

French language

French (le français or la langue française) is a Romance language of the Indo-European family.

New!!: Multiplicative inverse and French language · See more »

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.

New!!: Multiplicative inverse and Group (mathematics) · See more »

Henry Billingsley

Sir Henry Billingsley (died 22 November 1606) was an English merchant, Lord Mayor of London and the first translator of Euclid into English.

New!!: Multiplicative inverse and Henry Billingsley · See more »

Hyperbola

In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

New!!: Multiplicative inverse and Hyperbola · See more »

If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

New!!: Multiplicative inverse and If and only if · See more »

Imaginary unit

The imaginary unit or unit imaginary number is a solution to the quadratic equation.

New!!: Multiplicative inverse and Imaginary unit · See more »

Injective function

In mathematics, an injective function or injection or one-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain.

New!!: Multiplicative inverse and Injective function · See more »

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").

New!!: Multiplicative inverse and Integer · See more »

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.

New!!: Multiplicative inverse and Inverse element · See more »

Inverse function

In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function applied to an input gives a result of, then applying its inverse function to gives the result, and vice versa.

New!!: Multiplicative inverse and Inverse function · See more »

Inverse trigonometric functions

In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric functions (with suitably restricted domains).

New!!: Multiplicative inverse and Inverse trigonometric functions · See more »

Involution (mathematics)

In mathematics, an involution, or an involutory function, is a function that is its own inverse, for all in the domain of.

New!!: Multiplicative inverse and Involution (mathematics) · See more »

Irrational number

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.

New!!: Multiplicative inverse and Irrational number · See more »

List of sums of reciprocals

In mathematics and especially number theory, the sum of reciprocals generally is computed for the reciprocals of some or all of the positive integers (counting numbers)—that is, it is generally the sum of unit fractions.

New!!: Multiplicative inverse and List of sums of reciprocals · See more »

Long division

In arithmetic, long division is a standard division algorithm suitable for dividing multidigit numbers that is simple enough to perform by hand.

New!!: Multiplicative inverse and Long division · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

New!!: Multiplicative inverse and Mathematics · See more »

Maxima and minima

In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema).

New!!: Multiplicative inverse and Maxima and minima · See more »

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).

New!!: Multiplicative inverse and Modular arithmetic · See more »

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.

New!!: Multiplicative inverse and Modular multiplicative inverse · See more »

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.

New!!: Multiplicative inverse and Multiplication · See more »

Natural logarithm

The natural logarithm of a number is its logarithm to the base of the mathematical constant ''e'', where e is an irrational and transcendental number approximately equal to.

New!!: Multiplicative inverse and Natural logarithm · See more »

Newton's method

In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.

New!!: Multiplicative inverse and Newton's method · See more »

Power rule

In calculus, the power rule is used to differentiate functions of the form f(x).

New!!: Multiplicative inverse and Power rule · See more »

Pseudorandomness

A pseudorandom process is a process that appears to be random but is not.

New!!: Multiplicative inverse and Pseudorandomness · See more »

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.

New!!: Multiplicative inverse and Rational number · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

New!!: Multiplicative inverse and Real number · See more »

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.

New!!: Multiplicative inverse and Repeating decimal · See more »

Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

New!!: Multiplicative inverse and Ring (mathematics) · See more »

Safe prime

A safe prime is a prime number of the form 2p + 1, where p is also a prime.

New!!: Multiplicative inverse and Safe prime · See more »

Sedenion

In abstract algebra, the sedenions form a 16-dimensional noncommutative and nonassociative algebra over the reals obtained by applying the Cayley–Dickson construction to the octonions.

New!!: Multiplicative inverse and Sedenion · See more »

Square matrix

In mathematics, a square matrix is a matrix with the same number of rows and columns.

New!!: Multiplicative inverse and Square matrix · See more »

Surjective function

In mathematics, a function f from a set X to a set Y is surjective (or onto), or a surjection, if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x).

New!!: Multiplicative inverse and Surjective function · See more »

Trigonometric functions

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.

New!!: Multiplicative inverse and Trigonometric functions · See more »

Unit fraction

A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.

New!!: Multiplicative inverse and Unit fraction · See more »

Zero divisor

In abstract algebra, an element of a ring is called a left zero divisor if there exists a nonzero such that, or equivalently if the map from to that sends to is not injective.

New!!: Multiplicative inverse and Zero divisor · See more »

Zero of a function

In mathematics, a zero, also sometimes called a root, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is, x is a solution of the equation f(x).

New!!: Multiplicative inverse and Zero of a function · See more »

0

0 (zero) is both a number and the numerical digit used to represent that number in numerals.

New!!: Multiplicative inverse and 0 · See more »

1

1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph.

New!!: Multiplicative inverse and 1 · See more »

6-sphere coordinates

In mathematics, 6-sphere coordinates are the coordinate system created by inverting the Cartesian coordinates across the unit sphere.

New!!: Multiplicative inverse and 6-sphere coordinates · See more »

Redirects here:

1/x, Reciproc, Reciprocal (mathematics), Reciprocal function, .

References

[1] https://en.wikipedia.org/wiki/Multiplicative_inverse

OutgoingIncoming
Hey! We are on Facebook now! »