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One technique is used to build quaternion orthogonal designs on complex variables for any even number of columns.
Remark 5. Bearing in mind that the existence of JGMD is questionable for higher dimensions (i.e., for more than two transmit antennas), all the variables { b j } j = 1 B should have equal values of two for matrices { H i } i = 1 2 who have even number of columns.
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Even number of errors: when there exist j (even number) errors in the column, similar to 'two errors case', only if all errors are all not located at the erasure, the erasure can be recovered.
This presents a problem when the number of rows or columns of ({mathbf {e}}_c) is even, since there is no clear central pixel when there is an even number of pixels.
Find an even number of your friends.
The same number – or even a greater number – of columns of randomly chosen ubiquitous proteins gives worse results, not always finding the monophyly of Proteobacteria and of γ-Proteobacteria, two well-accepted clades that are nontrivial to resolve [ 23].
Left and right columns are reconstruction results for independent data subsets with odd and even numbers of events, respectively.
Denote the matrix constructed by the even numbered columns of (B_{v}^{(n)}) as (D^{(n)}).
Denote the matrix constructed by the even numbered columns of B̃ as D. Then we will show that D has the properties (1 - 3) in Theorem 2.
Let (acute {mathbf {c}}_{k-1}^ in R^{m_{k}n_{k}}) and (mathbf {c}_{k-1}^{ast } in R^{{m_{k-1}}{n_{k-1}}{-m_{k}}{n_{k}}}) denote vectors formed by pixels of even numbered columns and rows, that is, they do not include pixels of odd numbered columns nor rows.
With Bing's latest redesign, which dropped the number of columns on its search results pages from three to two, the social sidebar now features even more prominently on the site.
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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