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The STP of matrices, on the other hand, extends the conventional matrix product in cases of unequal dimensions.
The proposed algorithm is based on the semi-tensor product (STP) [21, 22], a novel matrix product that works by extending the conventional matrix product in cases of unequal dimensions.
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In this new structure, we splice the output of front-end dereverberation DNN with original reverberant features to feed the back-end DNN for acoustic modeling as shown in Fig. 4. It should be noted that the back-end weights in this structure are randomly initialized due to the unequal dimension between the spliced features and the input of pre-trained back-end DNN used in DNN-JT1.
This model features the simultaneous incorporation of some specific design attributes of CMSs, such as unequal machine dimensions, duplicate machines, alternative process routings, coexistence of alternative process routings, lot splitting, and production planning.
The world is unequal in many dimensions; even life itself is unequally distributed.
Even though the tetragonal arrangement previously observed was maintained, the slightly different and unequal unit cell dimensions suggest that the packaging unit of this type of crystal might be slightly different from that of the lipid-directed N-strep 2D crystal.
Unequal length in each dimension can therefore result in differing levels of autocorrelation in each direction and, as a result, we restrict the description of the algorithm to the case where these lengths are equal.
ANOVA is not suitable when the variance between male and female objects in one dimension is unequal.
This new class of WENO schemes uses a convex combination of a quartic polynomial with two linear polynomials on unequal size spatial stencils in one dimension and is extended to two dimensions in a dimension-by-dimension fashion.
All of the beams tested in each series had the same dimensions with simple supports, unequal reinforced concrete beam lengths and two external steel plates; they were loaded with a central point load.
The idea is that citizens might be unequal in wealth, resources, welfare, and other dimensions of their condition, yet be equal in status in a way that enables all to relate as equals.
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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