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P0 is initialized as a diagonal matrix with small values (0.01I in our experiments, with I being the identity matrix).
In contrast, particles of C-coated SiOx are composed of uniform nano-sized crystalline Si embedded in a-SiO2 matrix with small amounts of a-Si.
The proposed procedure relies on the use of the so-called rational series expansion (RSE), recently derived by the authors for evaluating in approximate explicit form the inverse of a matrix with small rank-r modifications.
TiSn403, TiSn405 and TiSn407 consist of an anatase matrix with small grains of an anatase-rutile mixture, while TiSn2050, TiSn2100 are quite homogeneous anatase-brookite mixtures at the μm scale.
With this scheme, singular values of (tilde {mathbf {Y}}) that are smaller than the threshold are seen as the effect of the noise only; while singular values of (tilde {mathbf {Y}}) that are larger than the threshold are seen as the effect of non-zero component of the channel matrix with small noise disturbance.
To produce a striped pattern, a silicone matrix with small channels was placed on a coverslip and filled with protein solution.
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It can be seen that weighting matrix with smaller penalty value in the proposed algorithm has better performance especially in the high-SNR region.
Lu introduced a construction of ternary matrices with small coherence [10].
We look at iterative methods for solving matrix equations, particularly those matrices with small entries.
From the previous theorem it immediately follows that, for (b=0), we obtain symmetric stiffness matrices with small condition numbers which are independent of ϵ and are dependent only on Riesz constants of the used wavelet basis.
Neurons in the U-matrix with small values represent clusters in the input data and large values represent gaps.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com