Sentence examples for matrices and studied from inspiring English sources

In [10], Can and Naim have defined geometric circulant matrices and studied the bounds for the spectral norms of geometric circulant matrices involving the generalized Fibonacci number and Lucas numbers.

Zhang [16] established the existence of a unique solution for the delay fractional differential equation D α x ( t ) = A 0 x ( t ) + A 1 x ( t - r ) + f ( t ), t > 0, x ( t ) = ϕ ( t ), t ∈ [ - r, 0 ], by the method of steps, where A 0, A 1 are constant matrices and studied the finite time stability for it.

In this paper, we propose the concept of the block diagonal-Schur complement on block matrices and study the properties on the diagonal-Schur complement of two kinds of (generalized) block doubly diagonally dominant matrices.

We set out to develop a CE-MS method capable of separating phosphorylated disaccharide isomers in plant matrix and studied its applicability for the analysis of T6P in extracts from Arabidopsis seedlings.

We rewrite the basic FDTD equations in terms of an iteration matrix and study the eigenvalue problem for this matrix.

Different cellular architectures including ordered, disordered and graded dispersion of polymeric spheres in aluminum matrix were prepared and studied under quasi static loading.

Besides these plastic deformations, debonding of glass beads, step formation on fracture surface, and birefringence due to thermal residual misfit between glass beads and matrix were identified and studied.

Sulfur nanocomposites are prepared by using graphene derived carbon (GDC), with controlled porosity characteristics, as confining matrix and are studied as efficient cathodes for lithium-sulfur (Li-S) batteries.

Although quantification using instrumental calibration rendered odd results in most of the cases, satisfactory recoveries (74 126%) were obtained in the case of matrix-matched calibration approach for all of the analytes and matrices studied at the two concentration levels evaluated.

Nowadays, it is also the scale exploited in long-baseline experiments and will likely play a leading role in the next generation facilities designed to precisely measure the neutrino mixing matrix and study CP violation in the leptonic sector.

Rank two parametric perturbations of operators and matrices are studied in various settings.