Throughout the article, matrices and vectors are denoted by boldface uppercase and lowercase letters, respectively.
The first gene-article matrix can be used for identifying the articles associating with any specific gene.
The genome-wide GenoMesh literature mining algorithm was developed by sequentially generating a gene-article matrix, a normalized gene-MeSH term matrix, and a gene-gene matrix.
According to the gene-article matrix prepared in Step 2, a total of 1,810 E. coli genes were cited in at least three publications, and some 13,630 unique MeSH terms are associated with these genes.
Basically, using the titles, abstracts, and MeSH annotations of PubMed papers associated with one specific organism (e.g., E. coli), the GenoMesh algorithm calculates three matrices: gene-article matrix (Step 2 in Figure 1), gene-MeSH term matrix (Step 3), and gene-to-gene dissimilarity matrix (Step 4).
"In the macho world of the active military, an avocation such as gem cutting would not have been perceived as 'manly,' " Jay L. Lininger wrote in a 2000 article in "Matrix: A Journal of the History of Minerals".
In this article, Al-matrix nanocomposites reinforced with different volume fractions of SiC nanoparticles (~ 50 nm; up to 6%) were processed by powder metallurgy (P/M) routes through mechanical milling and hot consolidation techniques.
Images in this article are matrices of 8-bit luminance values.
In this article, given matrices A ∈ C m × n, B i ∈ C m × p i, C i ∈ C q i × n, i = 1, 2, 3, 4, we will present the maximal and minimal ranks of the matrix expression A-B1V1C1 - B2V2C2 - B3V3C3 - B4V4C4 with respect to V1, V2, V3, and V4.
In the formulation discussed in this article, the same matrix is used to relate stress to constant stress parameters, and strain to constant strain parameters.
In this article, a linear matrix inequality (LMI -based design for robust fauLMI -basedon observers (FIOs) for linear systems with arbitrary fault designability indices is presented.
