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En mathématiques et plus spécialement en a … En mathématiques et plus spécialement en analyse vectorielle, une fonction numérique à plusieurs variables réelles est une fonction dont l'ensemble de départ E est une partie de . L'ensemble d'arrivée F peut être ou . Le second cas peut se ramener au premier cas en considérant qu'il s'agit en réalité de p fonctions de dans appelées fonctions coordonnées. La fonction est donc une relation associant à chaque n-uplet x = (x1, x2, ..., xn) élément de l'ensemble de départ un et un seul élément de l'ensemble d'arrivée, que l'on appelle image de x par f et que l'on note f(x) ou f(x1, ..., xn) : Si l'on munit les deux espaces vectoriels et d'une norme, on peut étudier la continuité et la différentiabilité de telles fonctions. En fixant les n variables réelles (x1, x2, ..., xn) sauf une, on se ramène à l'étude de fonctions d'une variable réelle, à valeurs dans (ou même dans , en considérant les p fonctions coordonnées). Leurs dérivées, lorsqu'elles existent, s'appellent les dérivées partielles de la fonction de départ.ivées partielles de la fonction de départ.
, 수학에서 다변수 함수(多變數函數, 영어: multivariate function)는 둘 이상의 독립 변수를 갖는 함수이다. 보통 다변수 실함수와 다변수 복소함수를 가리킨다.
, In mathematical analysis and its applicati … In mathematical analysis and its applications, 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 be real or complex. However, the study of the complex-valued functions may be easily reduced to the study of the real-valued functions, by considering the real and imaginary parts of the complex function; therefore, unless explicitly specified, only real-valued functions will be considered in this article. The domain of a function of n variables is the subset of for which the function is defined. As usual, the domain of a function of several real variables is supposed to contain a nonempty open subset of .sed to contain a nonempty open subset of .
, في التحليل الرياضي، دالة ذات عدة متغيرات ه … في التحليل الرياضي، دالة ذات عدة متغيرات هي دالة نطاقها مجموعة جزئية من حيث n>1 .حيث تمثل الدالة في فضاء ثلاثي الأبعاد بحيث يكون الإحداثي العمودي للنقطة هو قيمة الدالة عند العنصر الممثل بالاحداثين الأولين، وهذا التمثيل يسمى «السطح الممثل للدالة».مجموعة التعريف لدالة ذات n متغير، هي مجموعة مشتقة من و مدى هذه الدالة هي مجموعة مشتقة من بعض الدوال تكون معرفة لجميع الأعداد الحقيقية ، ولكن البعض الآخر تكون معرفة لمجموعة مشتقة منكن البعض الآخر تكون معرفة لمجموعة مشتقة من
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في التحليل الرياضي، دالة ذات عدة متغيرات ه … في التحليل الرياضي، دالة ذات عدة متغيرات هي دالة نطاقها مجموعة جزئية من حيث n>1 .حيث تمثل الدالة في فضاء ثلاثي الأبعاد بحيث يكون الإحداثي العمودي للنقطة هو قيمة الدالة عند العنصر الممثل بالاحداثين الأولين، وهذا التمثيل يسمى «السطح الممثل للدالة».مجموعة التعريف لدالة ذات n متغير، هي مجموعة مشتقة من و مدى هذه الدالة هي مجموعة مشتقة من بعض الدوال تكون معرفة لجميع الأعداد الحقيقية ، ولكن البعض الآخر تكون معرفة لمجموعة مشتقة منكن البعض الآخر تكون معرفة لمجموعة مشتقة من
, In mathematical analysis and its applicati … In mathematical analysis and its applications, 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 be real or complex. However, the study of the complex-valued functions may be easily reduced to the study of the real-valued functions, by considering the real and imaginary parts of the complex function; therefore, unless explicitly specified, only real-valued functions will be considered in this article.ctions will be considered in this article.
, En mathématiques et plus spécialement en a … En mathématiques et plus spécialement en analyse vectorielle, une fonction numérique à plusieurs variables réelles est une fonction dont l'ensemble de départ E est une partie de . L'ensemble d'arrivée F peut être ou . Le second cas peut se ramener au premier cas en considérant qu'il s'agit en réalité de p fonctions de dans appelées fonctions coordonnées. La fonction est donc une relation associant à chaque n-uplet x = (x1, x2, ..., xn) élément de l'ensemble de départ un et un seul élément de l'ensemble d'arrivée, que l'on appelle image de x par f et que l'on note f(x) ou f(x1, ..., xn) : et que l'on note f(x) ou f(x1, ..., xn) :
, 수학에서 다변수 함수(多變數函數, 영어: multivariate function)는 둘 이상의 독립 변수를 갖는 함수이다. 보통 다변수 실함수와 다변수 복소함수를 가리킨다.
|
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Fonction de plusieurs variables
, دالة متعددة المتغيرات الحقيقية
, Function of several real variables
, 다변수 함수
|
