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The d constraint implies redundancy within the channel input sequence.
Still, for M>1, the definition (42) implies redundancy in ( underline {mathbf {X}} k)) that is propagated into (mathring {underline {mathbf {S}}}(n) ) such that it appears as if the derivation given above would not describe an efficient implementation.
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However, as the authors noted, this implies redundancies in related probe set definitions, such as shared probes among different transcripts from the same gene.
While perfect agreement among reviewers is arguably unnecessary (implying redundancy of effort) or undesirable (perhaps suggesting excessive cognitive homogeneity in the reviewer pool), editors should expect reviewer recommendations to be substantially more consistent than mere chance.
These compensatory responses, however, do not imply redundancy of the proteolytic systems, as conditions such as stress (dietary lipid challenges, oxidant, and hepatotoxic agents) or aging unmask the reliance of cells on CMA (Fig. S9).
This is a significant finding, implying redundancy in the regulatory roles of these TFs during infection, as the functions of these TFs in pathogenesis and regulation of virulence gene expression have hitherto been studied in isolation [ 7, 33, 34, 44– 44].
This result implies a redundancy of lasp-2 to lasp-1.
This kind of structural arrangement is advantageous for information integration, while a strongly connected mediator subnetwork implies functional redundancy.
The downregulation of TrkB in addition to that of NMDARs and Kidins220/ARMS implies some redundancy in the mechanisms of excitotoxic death, both concerning the number of proteins involved in a pathway and the existence of overlapping mechanisms for some proteins.
In addition, the density of a firm's ego network (as measured by how densely its supply chain partners transact with one another) has a negative effect on productivity and innovative capability, implying knowledge redundancy in dense networks.
A natural explanation is that the former imply functional redundancy.
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CEO of Professional Science Editing for Scientists @ prosciediting.com