Sentence examples for matrices that we from inspiring English sources

In theory, one could enumerate such sets for small n; however, characterizing them all is challenging, even for the highly symmetric family of weight matrices that we propose here.

Operational matrices that we will developed in this paper have the ability to convert fractional differential equations together with its nonlocal boundary conditions to a system of easily solvable algebraic equations.

EcoSim produced 100 such constrained random matrices that we used as null models.

In both cases, predictions from the position or dinucleotide weight matrices that we construct are compared, and compared with previously available ("prior") position weight matrices.

We discovered that authors represented species observations using one or more higher-level taxa in more than 75% of the published data matrices that we curated.

Adjacency matrices that we used are available in the Supplementary Information [ Additional files 2 and 3].

With the above caveats, the comparison of these sets of codes with the standard code and its locally optimized version yielded several salient observations that held for both measures of amino acid replacements (the PRS and the Gilis matrix) that we employed.

Finally, " " denotes less or equal to in the positive semidefinite ordering between positive semidefinite matrices, that is, we have if is positive semidefinite.

Next, we define matrices that retrieve the null-row and the null-column pattern and, by means of appropriate algebraic operations, we demonstrate the equivalence.

To quantify the strength of the influence that is exerted by the conservation of the three physico-chemical amino acid features polarity, volume and hydrophobicity, we constructed matrices that contain the differences of these quantities for each amino acid pair.

Finally, we developed matrices that combined the four identified risk behaviours and their hypothesized determinants.