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D'Alambera operator
19.06.2002 21:03 |

D'Alambera operator - differencial'nyi operator

$\Box \equiv \Delta -{c}^{-2}({\partial}^{2}/{\partial t}^{2})$,

gde $\Delta$ - Laplasa operator, c - postoyannaya. Nazvan po imeni Zh. D'Alambera (J.D'Alembert). Operator D'Alambera nazyvayut takzhe dalambertianom ili volnovym operatorom, t. k. s ego pomosh'yu udobno zapisyvat' volnovoe uravnenie. Rassmatrivayut takzhe obobshennyi operator D'Alambera

$\Box \equiv \displaystyle{\frac{1}{\sqrt{-g}}}\displaystyle{\frac{\partial}{\partial{x}_{\alpha}}}\left(\sqrt{-g}\ {g}^{\alpha\beta}\displaystyle{\frac{\partial}{\partial{x}_{\beta}}}\right)$,

gde ${g}^{\alpha\beta}$ - metricheskii tenzor, g - determinant sootvetstvuyushei emu matricy.

Glossarii Astronet.ru


Publikacii s klyuchevymi slovami: matematika - vektornaya algebra
Publikacii so slovami: matematika - vektornaya algebra
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Ocenka: 2.4 [golosov: 44]
 
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