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A259679
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Lampard's constant, decimal expansion of log(2)/(4*Pi^2).
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1
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0, 1, 7, 5, 5, 7, 6, 2, 3, 1, 9, 3, 1, 7, 0, 7, 1, 9, 1, 0, 2, 2, 3, 4, 6, 4, 9, 8, 7, 4, 2, 4, 9, 2, 5, 2, 4, 0, 8, 2, 1, 9, 1, 3, 3, 1, 1, 0, 8, 1, 5, 6, 3, 5, 3, 4, 4, 3, 5, 8, 5, 9, 4, 5, 5, 7, 0, 6, 2, 4, 1, 0, 3, 3, 4, 2, 4, 2, 1, 3, 3, 5, 0, 3, 5, 5, 0, 4, 2, 3, 3, 9, 5, 1, 8, 3, 3, 5, 0, 2, 3, 5, 8, 1, 9
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OFFSET
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0,3
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COMMENTS
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Lampard dealt in a paper, see the links, with the calculation of internal cross capacitances of cylinders under certain conditions of symmetry. Van der Pauw generalized Lampard's results with the formula exp(-4*Pi^2*Cab,cd) + exp(-4*Pi^2*Cbc,da) = 1, see the links. Van der Pauw observed that in Lampard's case of symmetry, the two capacitances Cab,cd and Cbc,da are mutually equal, and hence are both equal to C = log(2)/(4*Pi^2) independently of the size or shape of the cross-section, which is Lampard's theorem.
Lampard's constant is closely related to Van der Pauw's constant A163973.
This constant was named after the Australian professor of electrical engineering Douglas Geoffrey Lampard (1927 - 1994). - Amiram Eldar, Dec 03 2020
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LINKS
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FORMULA
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C = log(2)/(4*Pi^2).
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EXAMPLE
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0.0175576231931707191...
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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