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单词 Gauss flux theorem
释义
Gauss flux theorem

Mathematics
  • If a closed surface R contains matter of total mass M and if F denotes the gravitational field, then the gravitational flux equals

    RF·ndS=4πGM,

    where G is the gravitational constant, S denotes surface area and n is the outward-pointing unit normal. An equivalent differential version reads

    divF=4πGρ

    where ρ denotes density. There are similar theorems relating electric and magnetic fields, the differential forms of which appear as two of Maxwell’s equations.


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