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No cálculo com múltiplas variáveis, uma diferencial é dita ser exata (ou perfeita), em contraste com uma , se é de forma , para alguma função diferenciável.
, In multivariate calculus, a differential o … In multivariate calculus, a differential or differential form is said to be exact or perfect (exact differential), as contrasted with an inexact differential, if it is equal to the general differential for some differentiable function in an orthogonal coordinate system. An exact differential is sometimes also called a total differential, or a full differential, or, in the study of differential geometry, it is termed an exact form. The integral of an exact differential over any integral path is path-independent, and this fact is used to identify state functions in thermodynamics.dentify state functions in thermodynamics.
, 多変数微分積分学における微分が完全 (exact, perfect) あるいは完全微分（かんぜんびぶん、英: exact differential）とは、それが適当な可微分函数 Q の微分 dQ となるときに言い、そうでないときと呼ぶ。 完全微分はしばしば「全微分」('total differential', 'full differential') あるいは微分幾何学において完全形式などとも呼ばれる
, Różniczką zupełną funkcji zmiennych niezależnych nazywamy takie wyrażenie Pfaffa, że: gdzie:
* – pochodna cząstkowa funkcji po zmiennej
* – różniczki zmiennych niezależnych.
, Nel calcolo infinitesimale, un differenzia … Nel calcolo infinitesimale, un differenziale esatto o differenziale totale è una forma differenziale esatta: cioè tale per cui esiste una funzione , detta potenziale, che soddisfa: Un differenziale è esatto se e solo se è integrabile, cioè se la grandezza è esprimibile come funzione di classe , la cui immagine è un sottoinsieme dei numeri reali. L'implicazione diretta dipende dal fatto che la seconda classe di continuità ammette sempre un solo differenziale . Per generalizzare la nozione di differenziale come infinitesimo a quantità definite arbitrariamente risulta utile avere un criterio per determinare se sia esprimibile come funzione delle sue variabili, o se invece non lo sia, anche perché in quest'ultimo caso risulta non conservata su un integrale chiuso nelle sue variabili.u un integrale chiuso nelle sue variabili.
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In multivariate calculus, a differential o … In multivariate calculus, a differential or differential form is said to be exact or perfect (exact differential), as contrasted with an inexact differential, if it is equal to the general differential for some differentiable function in an orthogonal coordinate system. An exact differential is sometimes also called a total differential, or a full differential, or, in the study of differential geometry, it is termed an exact form. The integral of an exact differential over any integral path is path-independent, and this fact is used to identify state functions in thermodynamics.dentify state functions in thermodynamics.
, Różniczką zupełną funkcji zmiennych niezależnych nazywamy takie wyrażenie Pfaffa, że: gdzie:
* – pochodna cząstkowa funkcji po zmiennej
* – różniczki zmiennych niezależnych.
, 多変数微分積分学における微分が完全 (exact, perfect) あるいは完全微分（かんぜんびぶん、英: exact differential）とは、それが適当な可微分函数 Q の微分 dQ となるときに言い、そうでないときと呼ぶ。 完全微分はしばしば「全微分」('total differential', 'full differential') あるいは微分幾何学において完全形式などとも呼ばれる
, No cálculo com múltiplas variáveis, uma diferencial é dita ser exata (ou perfeita), em contraste com uma , se é de forma , para alguma função diferenciável.
, Nel calcolo infinitesimale, un differenzia … Nel calcolo infinitesimale, un differenziale esatto o differenziale totale è una forma differenziale esatta: cioè tale per cui esiste una funzione , detta potenziale, che soddisfa: Un differenziale è esatto se e solo se è integrabile, cioè se la grandezza è esprimibile come funzione di classe , la cui immagine è un sottoinsieme dei numeri reali. L'implicazione diretta dipende dal fatto che la seconda classe di continuità ammette sempre un solo differenziale . Per generalizzare la nozione di differenziale come infinitesimo a quantità definite arbitrariamente risulta utile avere un criterio per determinare se sia esprimibile come funzione delle sue variabili, o se invece non lo sia, anche perché in quest'ultimo caso risulta non conservata su un integrale chiuso nelle sue variabili.u un integrale chiuso nelle sue variabili.
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| rdfs:label |
Exact differential
, Differenziale esatto
, Diferencial exato
, Różniczka zupełna
, 完全微分
|
