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An extended proof of the Ramo-Shockley theorem

✍ Scribed by Hunsuk Kim; H.S. Min; T.W. Tang; Y.J. Park


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
311 KB
Volume
34
Category
Article
ISSN
0038-1101

No coin nor oath required. For personal study only.


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Let A=(a i, j ) be an n\_n 0-1 matrix. Let S be the set of permutations \_ of [n] such that a i, \_(i) =1 for i=1, 2, ..., n. Then, the permanent of A is perm(A) = def |S|. For a pair of random variables (X, Y ) (with some joint distribution) and x # support[X ], let Y x be a random variable such t