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La identitat de Beltrami, que porta el nom … La identitat de Beltrami, que porta el nom del matemàtic italià Eugenio Beltrami, és un cas especial de les equacions d'Euler-Lagrange en el càlcul de variacions. Les equacions d'Euler-Lagrange serveixen per extremar l'acció de les funcions de la forma on i són constants, i . Si , llavors les equacions d'Euler-Lagrange es redueixen a la identitat de Beltrami, on C és una constant.entitat de Beltrami, on C és una constant.
, The Beltrami identity, named after Eugenio … The Beltrami identity, named after Eugenio Beltrami, is a special case of the Euler–Lagrange equation in the calculus of variations. The Euler–Lagrange equation serves to extremize action functionals of the form where and are constants and . If , then the Euler–Lagrange equation reduces to the Beltrami identity, where C is a constant. Beltrami identity, where C is a constant.
, 貝爾特拉米等式是變分法中的一等式，由貝爾特拉於1868年發現。它所表達的是，若函數u是以下積分的極值 則符合以下微分方程： 若L是力學系統中的拉格朗日量，且L並非x的顯函數，即拉格朗日量並非時間的顯函數，那麼，貝爾特拉米等式表明其哈密頓量是一守恆能量。
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La identitat de Beltrami, que porta el nom … La identitat de Beltrami, que porta el nom del matemàtic italià Eugenio Beltrami, és un cas especial de les equacions d'Euler-Lagrange en el càlcul de variacions. Les equacions d'Euler-Lagrange serveixen per extremar l'acció de les funcions de la forma on i són constants, i . Si , llavors les equacions d'Euler-Lagrange es redueixen a la identitat de Beltrami, on C és una constant.entitat de Beltrami, on C és una constant.
, The Beltrami identity, named after Eugenio … The Beltrami identity, named after Eugenio Beltrami, is a special case of the Euler–Lagrange equation in the calculus of variations. The Euler–Lagrange equation serves to extremize action functionals of the form where and are constants and . If , then the Euler–Lagrange equation reduces to the Beltrami identity, where C is a constant. Beltrami identity, where C is a constant.
, 貝爾特拉米等式是變分法中的一等式，由貝爾特拉於1868年發現。它所表達的是，若函數u是以下積分的極值 則符合以下微分方程： 若L是力學系統中的拉格朗日量，且L並非x的顯函數，即拉格朗日量並非時間的顯函數，那麼，貝爾特拉米等式表明其哈密頓量是一守恆能量。
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Identitat de Beltrami
, Beltrami identity
, 貝爾特拉米等式
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