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Elementary function

In mathematics, an elementary function is a function of a single variable (real or complex) that is typically encountered by beginners. The basic elementary functions are polynomial functions, rational functions, the trigonometric functions, the exponential and logarithm functions, the n-th root, and the inverse trigonometric functions, as well as those…

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Elementary function

Nodes74
Edges73
Triples73
Avg. degree1.97
Density0.027027
Components1

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Elementary function

Top relations

related to Basic examples · 15
Elementary function → All, Any, Apéry's, Constant, Elementary, Euler, Exponential, Hyperbolic, Inverse, Khinchin's, Logarithms, Mascheroni, Powers, The, Trigonometric
related to Closure · 7
Elementary function → Importantly, It, Liouville's, Liouvillian, The, The Liouvillian, They
related to Real-variables and analytic branches · 7
Elementary function → An, In, Riemann, Risch, The, This, Thus
see also · 7
Elementary function → Algebraic, Analytic, Criterion, Galois, Mathematical, System, Undecidability
related to Extensions · 6
Elementary function → Abelian, Functions, Higher, In, Liouville, The
related to External links · 5
Elementary function → Elementary, Encyclopaedia, Eric, MathematicsWeisstein, MathWorld
related to Non-elementary functions · 5
Elementary function → All, In, Non-elementary, Not, Thus
related to Composite examples · 4
Elementary function → Addition, Examples, Multiplication, Polynomial
related to Differential algebra · 4
Elementary function → By, Leibniz, The, Using
is a · 1
Elementary function → function of a single variable

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Important terminology

functions elementary function displaystyle analytic algebraic complex differential integration real polynomial definition closed field differentiation logarithms variable exponential roots etc

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Elementary functionis afunction of a single variable0.90text
the absolute value function are not elementaryinstance ofThus nonanalytic functions0.80text
nor are most other piecewise-defined functions.Not every analytic function is elementaryinstance ofThus nonanalytic functions0.80text
those in calculusinstance ofReal-variables and analytic branchesIn elementary real-variable settings0.80text
pre-calculusinstance ofReal-variables and analytic branchesIn elementary real-variable settings0.80text
expressions involving rootsinstance ofReal-variables and analytic branchesIn elementary real-variable settings0.80text
logarithmsinstance ofReal-variables and analytic branchesIn elementary real-variable settings0.80text
and inverse trigonometric functions are often interpreted using fixed real branches on specified real domainsinstance ofReal-variables and analytic branchesIn elementary real-variable settings0.80text
y 2instance ofand are represented in differential fields of meromorphic functions on regions of the complex plane or on Riemann surfaces.An algebraic equation0.80text
absolute valueinstance offunctions0.80text
signuminstance offunctions0.80text
and piecewise-defined functions can be treated instead by adjoining a step or conditional operationinstance offunctions0.80text

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