Sentence examples for up to three elements from inspiring English sources

However, in this paper, we only consider up to three elements for the computation (6), which can be calculated by only one homomorphic multiplication.

As discussed in section 3.1, for situations that specify choices over all subsets (up to three elements) of the alternative set, WARP also ensures that the relation ≽C is transitive.

If they want to derive a transitive preference relation from a choice function not defined over all subsets (up to three elements), then they have to restrict themselves to consider only choices that satisfy the strong axiom of revealed preferences (SARP).

Part I of the certificate records diseases or conditions directly leading to death in a causal chain with up to three elements, where 1a is the disease or condition directly leading to death, 1b is a disease or condition leading to 1a, and 1c is a disease or condition leading to 1b.

According to YouTube's documentation, End Screens can be incorporated anywhere within the last 5 to 20 seconds of a video, and can include up to four elements.

The header element can have up to seven sub elements (patient, record, annotations, comments, limbLeads, transformations and diagram ) and is described in Table 3.

This isomerization allows the formation of products containing up to three new stereochemical elements (two stereocenters and an alkene of defined geometry) with high diastereo- and enantiocontrol.

Allylrhodium species generated from potassium allyltrifluoroborates can undergo isomerization by 1,4-rhodium(I) migration to give more complex isomers, which then react with cyclic imines to provide products with up to three new stereochemical elements.

In summary, allylrhodium intermediates generated from γ,γ- or α,α-disubstituted potassium allyltrifluoroborates can undergo isomerization into more complex allylrhodium species, which then react with cyclic imines in highly diastereoselective allylations to give products containing up to three new stereochemical elements.

By applying an additive Schwarz block preconditioner to the low-energy basis combined with a coarse space linear vertex solver we have observed reductions in execution time of up to three times for tetrahedral elements and 10 times for prismatic elements when compared to a standard diagonal preconditioner.

The subtelomeric regions include up to four tandem copies of Y′ elements, short internal TG1−3 repeats and an X element composed of imperfect repeats and a conserved 437 bp core (Zakian, 1996).