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Earlier today I asked you to fill in the grid below with entries of the form [NUMBER][SPACE][LETTER](S) Such as "Thirteen As", "Ten Bs", "Two Cs", "One D", with the rule that the entries accurately describe how many letters are in the completed grid.
This paper proposes a new architecture based on a non-linear layer in parallel by another non-linear layer and with entries of independent weights.
bounded data symbols of power σ w t 2, and V2 is the M×N2 additive Gaussian noise matrix with entries of zero mean and variance σ v 2.
({boldsymbol {N}}_{R_{k}D}[i]) stands for the noise matrix at the destination with entries of additive white Gaussian noise (AWGN) with zero mean and variance (sigma ^{2}_{d}).
Explicitly, an m×n i.i.d Gaussian random matrix, denoted G, with entries of variance 1 m, satisfies RIP of order k and constant δ k, with a probability exceeding 1 - e - κ 1 m, (called overwhelming probability) if m > κ 2 k log ( n k ), where κ1 and κ2 only depend on the value of δ k (theorem 5.2 in [38]).
If (mathfrak {q}) is of Cartan type (with entries of odd order), then (widetilde{{mathcal {B}}}_{mathfrak {q}}) is isomorphic to the positive part of the quantum group defined by De Concini and Procesi [38], while (mathcal {L}_{mathfrak {q}}) is the positive part of the algebra of divided powers introduced by Lusztig [66, 67].
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