Sentence examples for basis of the kernel from inspiring English sources
Let B be a basis of the kernel of M in (mathbb{F}_{2}).
It follows that (beta _2, t_2) are basis of the kernel (K_2) of the map ( phi _{L_2}: A_2 rightarrow Pic^0 (associatingciatong to y the tensor product of the translation of (L_2) by y with the inverse of (L_1).
The key part of the testbed implementation is the basis of the kernel level miniport driver for NIC in Realtek-8185 chipset under Microsoft Windows Vista's Network Driver Interface Specification (NDIS) architecture.
We developed a framework that can detect correlations between gene expression profiles and the upstream sequences on the basis of the kernel canonical correlation analysis (kernel CCA).
The vectors ρ G, k provide a basis for the kernel of the Laplacian of G: (8) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\ker\mathcal{{L} G) = \left\langle \rho^{G,1}, \dots, \rho^{G,t} \right\rangle \,.
Let μ1,..., μ k be a basis of the left kernel of S I (a complete set of conservation laws).
Many centromere misdivision derivatives of the PI chromosome were identified on the basis of the behavior of kernel color markers on chromosome 9S (Kaszas and Birchler 1996).
The resulting value from this computation of inner products on the basis of a kernel function is referred to as a score, and a subsequent score-to-likelihood-ratio transformation is performed by using logistic regression calibration [14,22,23].
Total yield increase of 17% could be done by selecting on the basis of the index: grain yield-kernel weight-tiller number [ 68].
de los Campos et al. (2010) further developed the theoretical basis of RHKS with "kernel averaging" (simultaneous use of various kernels in the model) and showed its good prediction accuracy.
Using Libsvm [ 26] package and selecting RBF (Radial Basis Function) as the kernel function of SVM, we select 30 proteins from training set to train the SVM parameters using a grid method.
