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To see that (3.6) holds, let be a permutation of.
A MIX operation has to be a permutation of bits, not to reduce the range of the outputs.
Let π = ( π ( 1 ), …, π ( n ) ) be a permutation of ( 1, …, n ), all permutations are totally n!
Then using Definition 1 again, we can infer that 〈 f k ( f i ( d ) ) 〉 k = 0 ∞ must be a permutation of 〈 f i ( d ) 〉 i = 0 ∞.
Let π be a permutation of ({1, ldots n}) and (mathbf {x}^{boldsymbol {pi}}) be the vector obtained exchanging the components of x according to π.
Let ψ 1 ( m ) ⋯, ψ k ( m ), …, ψ | K m | ( m ) be a permutation of the scheduled user indices for frequency band m that sorts the channel gains in increasing order, i.e. g ψ 1 ( m ) ≤ ⋯ ≤ g ψ k ( m ) ≤ ⋯ ≤ g ψ | K m | ( m ).
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The DPW issue was a permutation of national security fear that has been so successfully and consistently pioneered and exploited by the Bush administration since 9/11.
The city, whose name is a permutation of Caesar Augustus, the emperor who brought the region under Roman control, has three museums that focus on water in the Roman era — the port, the thermal baths and a fairly advanced system of 2,000-year-old 2,000-year-old 2,000-year-old
where is a permutation of.
where, is a permutation of that satisfies and.
where is a -form, is a permutation of, and is the signature of the permutation.
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CEO of Professional Science Editing for Scientists @ prosciediting.com