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While we regret that we cannot enter into correspondence with individual entrants we can assure all participants that every entry is given due scrutiny by our expert panel.
The q th diagonal entry is given by G AB ( q ) = ∑ k = 1 L AB h AB ( k ) exp ( − j 2 Π ( k − 1 ) ( q − 1 ) / Q ), q = 1, 2, …, Q, where LAB is the channel length.
Recall that the gradient of f at X=(x ij ), denoted by (frac {{partial } f(X)}{{partial } X}), is an n×m matrix whose (i,j -th entry is given by (left [{{partial } f(X)over {partial } X}right ]_{ij}={{partial } f(X)over {partial } x_{ij}}).
Let D = {d 0,d 1,…,d M-1} be an index set defined in Lemma 2 of[19], which will be given below in Remark 1. Choosing M rows from the N ′-point IDFT matrix according to D, we construct an M × N ′ matrix A ~, where each entry is given by a ~ k, n = 1 M exp j 2 π d k n N ′, j = - 1. for 0 ≤ k ≤ M - 1 and 0 ≤ n ≤ N ′-1.
Each ATOM entry is given an ID number (ATOM0001 ATOM2736) based solely on its order of inclusion in the BiSSCat database.
Each shipment entry is given a unique shipment number.
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Maybe the best argument for why the government should extend reasonable suspicion to searches and seizures of laptop computers at ports of entry was given by Peter Swire (pdf) of the Centre for American Progress: it provides a totalitarian template for more odious regimes to follow.
We arrived at the Bowery a little bit early, and upon entry were given a songbook containing the lyrics to a few holiday standards.
Patient characteristics at study entry are given in Table 1.
Demographic details at entry are given in Table 1.
The baseline characteristics at study entry are given in Table 1.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com