implicit function theorem (Q848375)
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theorem that, under a mild condition on the partial derivatives, the set of zeros of a system of equations is locally the graph of a function
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | implicit function theorem |
theorem that, under a mild condition on the partial derivatives, the set of zeros of a system of equations is locally the graph of a function |
Statements
Implicit circle.svg
482 × 506; 6 KB
482 × 506; 6 KB
the implicit function theorem guarantees that, on the level curve 𝑓(𝑥,𝑦)=1 of the function 𝑓(𝑥,𝑦)=𝑥²+𝑦², near the point 𝐀, 𝑦 can be expressed as a function of 𝑥; no such function, however, exists near the point 𝐁 (English)
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Wikipedia(21 entries)
- arwiki مبرهنة الدالة الضمنية
- cawiki Teorema de la funció implícita
- dewiki Satz von der impliziten Funktion
- enwiki Implicit function theorem
- eswiki Teorema de la función implícita
- fawiki قضیه تابع ضمنی
- frwiki Théorème des fonctions implicites
- glwiki Teorema da función implícita
- hewiki משפט הפונקציות הסתומות
- huwiki Implicitfüggvény-tétel
- itwiki Teorema delle funzioni implicite
- jawiki 陰函数定理
- kowiki 음함수 정리
- mkwiki Извод на имплицитна функција
- nlwiki Impliciete functiestelling
- ptwiki Teorema da função implícita
- ruwiki Теорема о неявной функции
- scnwiki Tiurema dâ funzioni mplicita
- svwiki Implicita funktionssatsen
- ukwiki Теорема про неявну функцію
- zhwiki 隐函数定理