The phrase "analyses of the matrix" is correct and usable in written English.
It can be used when discussing the examination or evaluation of a matrix in various contexts, such as mathematics, data analysis, or research.
Example: "The recent studies included detailed analyses of the matrix to identify patterns and correlations."
Alternatives: "examinations of the matrix" or "evaluations of the matrix".
These observations on the interfacial debonding accompanying the multiple matrix cracking, and their comparison with the theoretical analyses of the matrix cracking and debonding behaviors are presented.
Element and phase analyses of the matrix were performed after exposure to high temperatures via energy dispersive spectroscopy and X-ray diffraction, respectively.
In edge set E⊆v×v, graph edge e ij = (v i,v j ) ⊆ E represents that node j can transmit information to node i. Algebraic graph theory and linear algebra are closely linked, the edges and nodes may be corresponding to a matrix, then the analyses of the matrix can directly reflect part characteristics of the graph.
We divided the forest plot into 114 sites using a 20 m grid mesh and conducted zeta diversity analyses for the matrix of 25 species by 114 sites (Fig. 1).
The present study incorporates a modified version of the Geisler and Sanders [ 2] matrix, and analyses of the expanded matrix agree with other morphological studies in excluding Platanista from a close relationship with Lipotes, Inia, and Pontoporia (Additional file 1: Figs. S1, S2).
Sensitivity and elasticity analyses of the Lefkovitch matrix revealed that survival of adult and egg/larvae life-history stages are the most important for focused management efforts.
We carried out planialtimetrical, sedimentary, bio-compositional and chronological analyses of the sedimentary matrix of two anthropogenical earthmounds, Los Tres Cerros site 1 and 2, and the results were compared in order to detect similarities and differences in the overall moundbuilding process.
Herein, we discuss basic analyses of the stoichiometric matrix.
MP analyses of the nrDNA matrix yielded 7 most parsimonious trees, with a CI of 0.66, RI of 0.85 and a RC of 0.56.
As in the ML analyses of the reduced matrix, Phyllostomus was not monophyletic (Fig. 6), but Anoura was monophyletic with low support (0.90 BPP in 1P analyses, and 0.84 BPP in 8b analyses, not shown).
Remarkably, however, in our analyses of the untrimmed matrix employing BI under the site-heterogeneous CAT+GTR+Γ4 model, we observe a clade of Monogenea and Cestoda (Cercomeromorpha), inferred with maximal posterior probability.
