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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

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If ρ be the vector of the element ds, where the surface density is , 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.

Type
Proceedings 1870-71
Copyright
Copyright © Royal Society of Edinburgh 1872

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