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We consider an efficient realization of the all-reduce operation with large data sizes in cluster environments, under the assumption that the reduce operator is associative and commutative.
Using cut-set systolization technique and modified Booth's recording, we have derived here an efficient realization of multiplexer-based bit-parallel systolic multipliers over GF 2m).
Our contributions include: (1) a complete specification of the relational algebra in Coq; (2) an efficient realization of that model (B+ trees) implemented with the Ynot extension to Coq; and (3) a set of simple query optimizations that are proven to respect both semantics and run-time cost.
In particular, it is shown that an efficient realization of both the transmitter and the receiver is possible in the frequency domain (FD), and it is based on the concatenation of an inner discrete Fourier transform (DFT) and a bank of outer DFTs.
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M. Perkowski, P. Kerntopf, A. Buller, M. Chrzanowska-Jeske, A. Mishchenko, X. Song, A. Al-Rabadi, L. Jozwiak, A. Coppola, and B. Massey, "Regularity and symmetry as a base for efficient realization of reversible logic circuits", Proc.
A novel approach for the efficient realization of digital channelizers in software defined radios using recombination filter banks is proposed in this paper.
We address the efficient realization of a filtered multitone (FMT) modulation system and its orthogonal design.
N. Moret and A. M. Tonello address the efficient realization of a filtered multitone (FMT) modulation system in the second paper entitled "Design of orthogonal filtered multitone modulation systems and comparison among efficient realizations".
Flexibility is the core aspect to enable dynamic configuration of the necessary network functionalities for the efficient realization of a target service and use case.
The last two decades have seen tremendous effort on the development of high-level synthesis algorithms for efficient realization of the multiplication of a variable by a set of constants using only addition, subtraction, and shift operations.
We also introduce an application of this separable measurement ensemble for efficient realization of compressive image sensors.
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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