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Exponentiation

In mathematics, exponentiation, denoted bn, is an operation involving two numbers: the base, b, and the exponent or power, n. When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, bn is the product of multiplying n bases: b n = b × b × ⋯ × b × b ⏟ n times . {\displaystyle b^{n}=\underbrace {b\times…

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Overview

Etymology

History

Terminology

Integer exponents

Rational exponents

Real exponents

Complex exponents with a positive real base

Non-integer exponents with a complex base

Irrationality and transcendence

Integer powers in algebra

Powers of sets

Repeated exponentiation

Limits of powers

Efficient computation with integer exponents

Iterated functions

In programming languages

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Map overview Semantic statistics

Exponentiation

Nodes351
Edges350
Triples109
Avg. degree1.99
Density0.005698
Components1

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Exponentiation

Top relations

related to In programming languages · 43
Exponentiation → ABAP, Ada, Algol Reference, Analytica, APL, ASCII, AWK, Bash, BASIC, COBOL, CoffeeScript, Commodore BASIC, Fortran, FoxPro, Gnuplot, Groovy, Haskell, JavaScript, KornShell, Lua
see also · 9
Exponentiation → Decrease, Double, Exponentation, Exponential, Growth, In, Mathematical, Mathematics, Unicode
related to Real exponents · 6
Exponentiation → For, Limits, On, One, Powers, The
related to Repeated exponentiation · 6
Exponentiation → Ackermann, Evaluated, Iterating, Just, Knuth's, This
related to Identities and properties · 5
Exponentiation → Also, That, The, Unlike, Without
related to Powers of a sum · 5
Exponentiation → However, It, Otherwise, Some, The
related to Finite fields · 4
Exponentiation → Common, For, The, This
related to In category theory · 4
Exponentiation → In, It, The, This
related to Combinatorial interpretation · 3
Exponentiation → For, Some, Such
related to Complex exponentiation · 3
Exponentiation → Defining, In, So

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Important terminology

displaystyle integer function number real complex positive powers exponent one power exponents values used definition identity nth multiplication functions defined

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Exponentiationis acaret0.90text
compound interestinstance ofwith applications0.80text
population growthinstance ofwith applications0.80text
chemical reaction kineticsinstance ofwith applications0.80text
wave behaviorinstance ofwith applications0.80text
and public-key cryptographyinstance ofwith applications0.80text
Rustinstance ofPowerShell.In some statically typed languages that prioritize type safety0.80text
exponentiation is performed via a multitude of methodsinstance ofPowerShell.In some statically typed languages that prioritize type safety0.80text
Exponentiationrelated to Combinatorial interpretationFor0.60section
Exponentiationrelated to Combinatorial interpretationSuch0.60section
Exponentiationrelated to Combinatorial interpretationSome0.60section
Exponentiationrelated to Complex exponentiationDefining0.60section

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