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Implicit function

In mathematics, an implicit equation is a relation of the form R ( x 1 , … , x n ) = 0 , {\displaystyle R(x_{1},\dots ,x_{n})=0,} where R is a function of several variables (often a polynomial). For example, the implicit equation of the unit circle is x 2 + y 2 − 1 = 0. {\displaystyle x^{2}+y^{2}-1=0.}

Applications, Economy & Measurement

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Caveats

Implicit differentiation

Implicit function theorem

In algebraic geometry

Applications in economics

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Implicit function

Nodes66
Edges65
Triples48
Avg. degree1.97
Density0.030303
Components1

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Implicit function

Top relations

related to Further reading · 20
Implicit function → Binmore, Blume, Boston, Calculus, Cambridge University Press, Carl, Economists, Implicit Functions, ISBN, Lawrence, Mathematical Analysis, Mathematics, McGraw-Hill, New York, Norton, Principles, Rudin, Simon, Their Derivatives, Walter
related to Caveats · 8
Implicit function → An, Another, For, In, Not, The, Then, Thus
related to Algebraic functions · 4
Implicit function → An, For, This, Written
related to Optimization · 4
Implicit function → Moreover, Often, The, When
related to Implicit function theorem · 3
Implicit function → If, Let, The
related to Inverse functions · 3
Implicit function → If, Not, This
is a · 2
Implicit function → function that is defined by an implicit equation, inverse function
see also · 2
Implicit function → Descartes, Implicit
related to In differential equations · 1
Implicit function → The

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Important terminology

function implicit equation functions example solution equations displaystyle algebraic one variables differentiation unit circle inverse theorem polynomial tangent written given

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Implicit functionis afunction that is defined by an implicit equation0.90text
Implicit functionis ainverse function0.90text
a utility function or a profit function is to be maximized with respect to a choice vector x even though the objective function has not been restricted to any specific functional forminstance ofsome function0.80text
Implicit functionrelated to Algebraic functionsAn0.60section
Implicit functionrelated to Algebraic functionsFor0.60section
Implicit functionrelated to Algebraic functionsThis0.60section
Implicit functionrelated to Algebraic functionsWritten0.60section
Implicit functionrelated to CaveatsNot0.60section
Implicit functionrelated to CaveatsAnother0.60section
Implicit functionrelated to CaveatsThus0.60section
Implicit functionrelated to CaveatsAn0.60section
Implicit functionrelated to CaveatsThen0.60section

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