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To achieve the minimal total parallel execution time, the use of a blocking factor ℓ∈{2,p,2p} can be recommended for matrices with distinct singular values.
In this and a sequel paper (Combinatorial designs with two singular values. II. Partial geometric designs, preprint) we study combinatorial designs whose incidence matrix has two distinct singular values.
The problem of the relational nature of the contents of true singular thoughts can be made more acute by the following puzzle that exercised Gottlob Frege (1892): how can one rationally hold two distinct singular beliefs that are both about one and the same object?
When Heimson is in a first-person belief state, he grasps the distinct singular proposition [Heimson wrote the Treatise] and when Heimson grasps the singular proposition [Hume wrote the Treatise], it is only in virtue of being in a third-person belief state.
In this and an earlier paper [E.R. van Dam, E. Spence, Combinatorial designs with two singular values. I. Uniform multiplicative designs, J. Combin. Theory A 107 (2004) 127 142] we study combinatorial designs whose incidence matrix has two distinct singular values.
While SynBio can be seen as a collection of activities rather than a distinct, singular, or totally novel practice, some of its proponents claim that such activities stand to revolutionize our mode of industrial production through the assemblage of multipurpose micro-organisms, based on sub-cellular standardized biochemical parts that may or may not exist in nature (Carlson [2007]; Singh [2011]).
Similar(54)
Still, we need not assume that we can have this knowledge only if we can get somehow in a mysterious contact with the universal nature over and above the singulars; all we need is to learn how "to read" the singulars in our experience to discern the "common message", the universal nature, informing them all, uniformly, yet in their distinct singularity.
In 1828 he published Über den Dualis ("On the Dual"), in which his considerations on the dual (as distinct from singular and plural) "number" led him toward the metaphysics of language.
Indeed, the renewed interest in these machines very much reflects the return of the vinyl record: sure, there's a nostalgic component, but you're also getting a very distinct and singular experience that holds its own in the digital age.
into Eq. (6), we can determine p distinct Laurent singular parts as follows: ∑ k = − q − 1 c k z k.
into (3) we can determine p distinct Laurent singular parts: ∑ k = − q − 1 c k z k.
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