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" The surface integral of a vector over a closed surface is equal to the volume integral of the divergence of the vector throughout the enclosed volume. "
Vector Analysis: A Text-book for the Use of Students of Mathematics and ... - Pàgina 255
per Josiah Willard Gibbs, Edwin Bidwell Wilson - 1901 - 436 pàgines
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The Elements of Physics: A College Text-book, Volum 2

Edward Leamington Nichols, William Suddards Franklin - 1901 - 322 pàgines
...equation (129), fRcos e-dS = fp-dr (131) That is, the surface integral of a distributed vector, R, over a closed surface is equal to the volume integral of the convergence of R throughout the enclosed region. Examples. — The fact that the total electric flux...
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Electromagnetics

Laud B B - 1987 - 356 pàgines
...surface surrounding the volume T. Therefore v-Ja (A46) = | That is, the surface integral of a vector v taken over a closed surface is equal to the volume integral of the divergence of the vector taken over the enclosed volume T. This is known as Divergence Theorem. (vii) Curl of a vector...
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Matvei Petrovich Bronstein: And the Soviet Theoretical Physics in the Thirties

Геннадий Ефимович Горелик, Виктор Яковлевич Френкель - 1994 - 216 pàgines
...just like in electrodynamics, it abides by Gauss's theorem (the total flux of a vector field through a closed surface is equal to the volume integral of the divergence of the vector taken over the enclosed volume). It was impossible to surmise a violation of the laws of...
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