Sentence examples for matrices with special from inspiring English sources

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Recently, there have been many papers on the norms of circulant matrices with special numbers [12 15].

Also, we give some results on a kind of matrices with special structure, the positive definite matrices with centrosymmetric structure.

It is possible to speed up algorithms for matrices with special structures, which arise commonly in applications.

This review primarily focuses on emerging analytical methods designed to meet the requirements for cytokinin analyses in complex matrices with special emphasis on high-performance liquid chromatography, gas chromatography and capillary electrophoresis coupled with different detectors.

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Then based on the new received data, a reduced dimensional transformation matrix is formulated, and the proposed method further constructs a FOC matrix with special formation, which reduce the computational complexity of sparse signal reconstruction.

This study represents an attempt to dissect the morphology of early arterialization and angiogenesis in the AV loop in a fibrin matrix with special focus on the interpositional venous graft (IVG) segment.

Circulant and r-circulant matrices with the special numbers have been studied by many researchers in last decade.

Now consider another model-dependent vector τ ~ ( ℳ j ) = P j τ ', where τ ′ = [ τ 1, τ A T, τ B T, τ C T ] T and P j are the associated permutation matrices, with the special case of P 1 being the identity matrix of appropriate dimensions.

Based on this work, the derived conclusions are helpful in establishing the interaction between gradient morphology and mechanical behaviors, and will provide an alternative approach to design some novel MG matrix composites with special functions.

The aim of this paper is to inter-relate several algebraic and analytic objects, such as real-type algebraic curves, quadrature domains, functions on them and rational matrix functions with special properties, and some objects from operator theory, such as vector Toeplitz operators and subnormal operators.

The finite differences method yields a Jacobian matrix with a special sparsity pattern.

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