Exact(1)
end{aligned} (5.19) The operators have the same Θ and Σ with (Delta^{intercal}) being the only distinguishing matrix in the decompositions of their (U_{4}), where (W=J_{2}+U_{2}^V-V^U_{2}), and (U_{3}= left({scriptsizebegin{matrix}J_{2}cr Vcr -U_{2}end{matrix}} right) ).
Similar(59)
Using AE tests of unreinforced UHPC and tests of individual fiber pullout, the network was trained to distinguish matrix cracking and fiber pullout.
In addition to using upper-case letters to symbolize matrices, many authors use a special typographical style, commonly boldface upright (non-italic), to further distinguish matrices from other mathematical objects.
The correlations between the Sr, LREE and Ca abundances of matrices will be useful for distinguishing CV3 matrices with Sr and LREE abundances that reflect nebular processes from those that reflect aqueous alteration processes in their parent body.
(This is what distinguishes "active matrix" LCDs from blurry "passive matrix" ones).
(In 2002, we did not distinguish between "matrix" and "margin"; samples were combined for these two types of site).
In this comparison, analyte signal was distinguished from matrix signal using the MS images as guides.
'Structured character data' are organized in a matrix distinguishing characters and two or more states, in contrast to 'textual character data' (e.g. in a natural language description).
The matrix distinguishes between those which are 'fundamentally in conflict with sustainable development' (for example tobacco) and those which could address problems through strategic shifts (for example energy).
The haplotype network analysis of the Pyrenees matrix distinguished 13 haplotypes (hereafter named H1 H13) distributed into five lineages (hereafter named lineages A E).
Their preservation is much finer than previously thought and by use of fluorescence technique much easier to distinguish from the matrix compared to older methods.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com