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Since the PET and MT coordinate systems are not necessarily aligned to each other, the transformation matrix to convert the recorded motion data into PET coordinates must be determined.
A concordance matrix to convert from the 343 to the seven sector model is supplied in Appendix C. Aggregation of sectors was based on a condensed version of the Australian and New Zealand Standard Industrial Classification Australian Bureau of Statisticss 2006).
In [34], a Sinc-Haar collocation method which uses the Haar operational matrix to convert the original problem into a set of linear algebraic equations via expanding the approximation as a truncated series based on Sinc and Haar functions was proposed.
We have used a rescaling matrix to convert the MI function, which normally generates a non-negative score, to a function that can produce negative values.
To address this limitation, methods (e.g., these generate a binary matrix to convert a PPI network into a quantitative model) to quantify these network/qualitative data structures can be applied to integrate them into our model.
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For example, we have shown that the set of punctured cumomers of a given moiety is the Reed Muller spectral domain of the set of isotopomers of said moiety; and hence, that we can use the Reed Muller transform matrices to convert isotopomer and punctured cumomer fraction vectors.
In a second step, we use pesticides matrices to convert the crop exposure level into a pesticide exposure level, for each family of pesticides (or compound per compound, when available).
Supercritical carbon dioxide anti-solvent precipitation and extraction, respectively, have been used as core techniques for depositing the secondary polymer within the BC matrix and to convert the formed composite organogels into aerogels.
Supercritical carbon dioxide anti-solvent precipitation and simultaneous extraction of the anti-solvent using scCO2 have been used as core techniques for incorporating the secondary polymer into the BC matrix and to convert the formed composite organogels into aerogels.
Firstly, the enzymatic pretreatment helps to break down the rigid solid matrix and to convert the large-molecule organic matter, such as cellulose, hemicellulose, and protein, into small monomers, and the non-hydrolyzed residue, such as lignin, is separated from the hydrolysates by solid liquid separation.
Noting that each measurement m j is simply proportional to a linear combination of fluxomers, the residual expression eq. 12 takes the form (13) ε = [ d i a g (y ^ ) T - V ] x, where T and V are transformation matrices needed to convert fluxomers to isotopomer measurements and the diag operator converts its vector argument into a diagonal matrix.
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