Sentence examples for matrix of certain from inspiring English sources
For usual Mercer kernels, e.g. common scalar product there are still situations when Gram matrix of certain vector set in the feature space will be degenerate.
Concurrently, biological hydrogels are extensively used in medical applications due to their fundamental biocompatibility and intrinsic similarities to the extracellular matrix of certain tissues.
The effects of these fine-dispersion particles, capable of co-deposition with chromium matrix, on certain characteristics of the coating have been considered in this work.
Here, we observed that the biomass-supported catalyst proved to be a sturdy substitute for catalyst matrix as biogenic nanoparticles tend to adhere/adsorb to the biomaterial matrix because of certain active chemical groups, which in turn may impart additional stability to the biocatalyst framework.
Moreover, the existence of a lower bound on the error covariance matrix of a certain class of mismatched estimators has been investigated as well (see also [33]).
It was said in [2, 5] that the Perron vector (or the stationary distribution vector) for a corresponding transition matrix of a certain Markov chain provides the long term probabilities of the chain being in a particular state.
For the matrix function (M lambda)) in the form (45) to be the Weyl matrix of a certain boundary value problem L, it is necessary and sufficient that the determinant of system (46) differs from zero, and (varepsilon(x) in L 0, infty); mathbb{C}^{m times m})), where (varepsilon(x)) is defined in (47).
Specifically, for m=nt+r where 0⩽rmatrix of a certain regular graph.
At the stability limit, the vanishing of the second order terms (in the deviations from equilibrium) of the total action change functional leads to the condition that the matrix of a certain quadratic form be singular; this yields the eigenvalue (frequency-load) curve.
In this article, a novel operational matrix of derivatives of certain generalized Jacobi polynomials is derived and used for introducing spectral solutions of linear and nonlinear fourth-order two point boundary value problems.
Although chondrocytes in this context do not normally divide, they are assumed to maintain the extracellular matrix (ECM) by low-turnover replacement of certain matrix proteins.
