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Mathematical Notes by Professor Tait - 4. On an Expression for the Potential of a Surface-distribution, &c
Published online by Cambridge University Press: 15 September 2014
Extract
If ρ be the vector of the element ds, where the surface density is fρ, the potential at σ is
F being the potential function, which may have any form whatever.
By the preceding Note this may be transformed into
or, far more conveniently for the integration, into
where Δ depends on the constituents of σ in the same manner as ∇ depends on those of ρ.
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- Copyright © Royal Society of Edinburgh 1872