Vectors and terms [tensors?] are so constituted that the law which defines the transformation of their components from one Cartesian set of axes to another can be extended to the most general linear transformation, to an affine set of axes. That is not the case for quantity ψ, however; ...
The first rigorous results on the local eigenvalue statistics in the bulk spectrum were given by Dyson, Mehta and Gaudin in the 60’s. These concerned the Gaussian models and identified their local correlation functions. According to Wigner’s universality hypothesis, these statistics should hold in...
We developed 5 different SVM models with a specific number of selected features and support vectors (see also Table 1). After accessing the performance of the single SVM models (Table S2), we developed 10 ensemble models (EMs) by taking all the possible combinations between the SVM models (...
gcc10 warning Linux ppc64le - note: the layout of aggregates containing vectors with 8-byte alignment has changed in GCC 5 JDK-8303948 HsErrFileUtils.checkHsErrFileContent() fails to check the last pattern. JDK-8303942 os::write should write completely ...
2Notations 2.1Basic Notations LetFbe a non-Archimedean local field and letDbe a finite-dimensionalF-central division algebra. LetG_n=\textrm{GL}_n(D), the general linear group overD. The groupG_0is viewed as the trivial group. Forg \in G_n, let\nu (g)=|\textrm{Nrd}(g)|_F, wher...
For example, there is one bar under vectors and two bars under 2D matrix. Example parametrizations of tomogram function fr̲ and sinogram function g(r̲′) are provided below. Tomogram coordinate r̲=xyz, where x, y, and z are Cartesian coordinates in 3D Euclidean space. Sinogram ...
Null space vectors such as x¯TCRE from (11) are not unique. From the properties of matrix multiplication it follows that for any vector x¯TCRE that belongs to the null space of matrix ATCRE and a constant factor c the scaled vector cx¯TCRE also belongs to the null space of matr...
Since the elementary cutting force vectors are aligned parallel to each other, the integral simplifies to Fj=bfj(h), where j=t,r,a. Also note that the distribution does not affect the force magnitudes if the elementary chip segments are straight. However, in case of the curved uncut chip ...
The left-singular vectors represent the vibration mode shapes that build up to the vibrations in the indicator DoFs, sorted from the largest contribution to the smallest. By controlling the amount of principle components that are used in the computation of the transmissibility by Eq. (31), the ...
Once the cells expressing vector/cDNA constructs encoding the desired binding domain loss mutants are recovered, vectors are recovered from the cells and the mutant vector/cDNA constructs can be transformed into prokaryotic hosts for amplification prior to sequencing. If a higher yield of mutants is ...