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- Implicit_function_theorem abstract "In multivariable calculus, the implicit function theorem, also known, especially in Italy, as Dini's theorem, is a tool that allows relations to be converted to functions of several real variables. It does this by representing the relation as the graph of a function. There may not be a single function whose graph is the entire relation, but there may be such a function on a restriction of the domain of the relation. The implicit function theorem gives a sufficient condition to ensure that there is such a function.The theorem states that if the equation R(x, y) = 0 satisfies some mild conditions on its partial derivatives, then one can in principle (though not necessarily with an analytic expression) express y in terms of x as f(x), at least in some disk. Then this implicit function f(x), implied by R(x, y)=0, is such that geometrically the locus defined by R(x, y) = 0 will coincide locally (that is in that disk) with the graph of f.".
- Implicit_function_theorem thumbnail Implicit_circle.svg?width=300.
- Implicit_function_theorem wikiPageID "581005".
- Implicit_function_theorem wikiPageRevisionID "640144795".
- Implicit_function_theorem authorLink "Lev Dmitrievich Kudryavtsev".
- Implicit_function_theorem first "L.D.".
- Implicit_function_theorem first "V.I.".
- Implicit_function_theorem hasPhotoCollection Implicit_function_theorem.
- Implicit_function_theorem id "i/i050310".
- Implicit_function_theorem id "i/i050320".
- Implicit_function_theorem last "Danilov".
- Implicit_function_theorem last "Kudryavtsev".
- Implicit_function_theorem title "Implicit function".
- Implicit_function_theorem subject Category:Theorems_in_calculus.
- Implicit_function_theorem subject Category:Theorems_in_real_analysis.
- Implicit_function_theorem type Abstraction100002137.
- Implicit_function_theorem type Communication100033020.
- Implicit_function_theorem type Message106598915.
- Implicit_function_theorem type Proposition106750804.
- Implicit_function_theorem type Statement106722453.
- Implicit_function_theorem type Theorem106752293.
- Implicit_function_theorem type TheoremsInCalculus.
- Implicit_function_theorem type TheoremsInRealAnalysis.
- Implicit_function_theorem comment "In multivariable calculus, the implicit function theorem, also known, especially in Italy, as Dini's theorem, is a tool that allows relations to be converted to functions of several real variables. It does this by representing the relation as the graph of a function. There may not be a single function whose graph is the entire relation, but there may be such a function on a restriction of the domain of the relation.".
- Implicit_function_theorem label "Fungsi implisit".
- Implicit_function_theorem label "Funkcja uwikłana".
- Implicit_function_theorem label "Impliciete functiestelling".
- Implicit_function_theorem label "Implicit function theorem".
- Implicit_function_theorem label "Implicitfüggvény-tétel".
- Implicit_function_theorem label "Satz von der impliziten Funktion".
- Implicit_function_theorem label "Teorema de la funció implícita".
- Implicit_function_theorem label "Teorema de la función implícita".
- Implicit_function_theorem label "Teorema delle funzioni implicite".
- Implicit_function_theorem label "Théorème des fonctions implicites".
- Implicit_function_theorem label "Теорема о неявной функции".
- Implicit_function_theorem label "음함수 정리".
- Implicit_function_theorem sameAs Satz_von_der_impliziten_Funktion.
- Implicit_function_theorem sameAs Teorema_de_la_función_implícita.
- Implicit_function_theorem sameAs Théorème_des_fonctions_implicites.
- Implicit_function_theorem sameAs Fungsi_implisit.
- Implicit_function_theorem sameAs Teorema_delle_funzioni_implicite.
- Implicit_function_theorem sameAs 음함수_정리.
- Implicit_function_theorem sameAs Impliciete_functiestelling.
- Implicit_function_theorem sameAs Funkcja_uwikłana.
- Implicit_function_theorem sameAs m.02s4mn.
- Implicit_function_theorem sameAs Q848375.
- Implicit_function_theorem sameAs Q848375.
- Implicit_function_theorem sameAs Implicit_function_theorem.
- Implicit_function_theorem wasDerivedFrom Implicit_function_theorem?oldid=640144795.
- Implicit_function_theorem depiction Implicit_circle.svg.
- Implicit_function_theorem isPrimaryTopicOf Implicit_function_theorem.