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Function of several real variables

In mathematics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables. This concept extends the idea of a function of a real variable to several variables. The "input" variables take real values, while the "output", also called the "value of the function", may…

Applications, General definition & Calculus

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Overview

General definition

Symmetry

Function composition

Calculus

Implicit functions

Applications

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Function of several real variables

Nodes170
Edges169
Triples25
Avg. degree1.99
Density0.011765
Components1

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Function of several real variables

Top relations

related to General definition · 5
Function of several real variables → For, In, Rn, Some, To
related to Domain · 4
Function of several real variables → Conversely, In, Rn, The
related to Implicit functions · 3
Function of several real variables → Implicit, Instead, Rn
is a · 1
Function of several real variables → subset of Rn that is sometimes
related to Complex-valued function of several real variables · 1
Function of several real variables → If

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Important terminology

function variables real domain functions several defined partial continuous may derivatives real-valued point one example also xn number subset complex

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Function of several real variablesis asubset of Rn that is sometimes0.90text
electric fieldsinstance ofSimilarly for other physical vector fields0.80text
magnetic fieldsinstance ofSimilarly for other physical vector fields0.80text
and vector potential fields.Another important example is the equation of state in thermodynamicsinstance ofSimilarly for other physical vector fields0.80text
an equation relating pressure Pinstance ofSimilarly for other physical vector fields0.80text
temperature Tinstance ofSimilarly for other physical vector fields0.80text
and volume V of a fluidinstance ofSimilarly for other physical vector fields0.80text
in general it has an implicit forminstance ofSimilarly for other physical vector fields0.80text
complex impedanceinstance ofmay be actually complex valued -0.80text
complex permittivityinstance ofmay be actually complex valued -0.80text
complex permeabilityinstance ofmay be actually complex valued -0.80text
and complex refractive indexinstance ofmay be actually complex valued -0.80text

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