Sentence examples for matrices and there from inspiring English sources

In Figure 4A, the same task is performed with two different high- performing association matrices, and there is little similarity in performance across all groups.

In fact, if are positive definite Hermitian matrix and, there exists a unitary matrix such that (see [13]) (2.34).

One documentary explores the making of the video game "Enter the Matrix," and there is much coverage of "The Animatrix," a series of anime shorts commissioned by the Wachowskis.

: is a diagonal matrix, and there exists a positive diagonal matrix such that and (42).

The coatings had the metallurgical bonding with the matrix, and there was an evident transition layer within the matrix.

The C60 crystals are well integrated in the matrix and there is no hint either of porosity or of weak interfacial bonding.

A combination of X-ray diffraction, Fourier transform infrared spectroscopy and electron microscopy indicated that nHA particles were uniformly dispersed in chitosan matrix and there was a chemical interaction between chitosan and nHA.

Fourier Transform Infrared Spectroscopy, X-Ray Diffraction Analysis, Thermal Gravimetric Analysis, Scanning Electron Microscopy and Optical Microscopy results indicated that the f-MWCNT was uniformly dispersed in chitosan matrix and there was a chemical interaction between chitosan and f-MWCNT.

The input of the functions is any or symmetric matrix and there are four possible return values: meaning "not copositive", "copositive (not strictly)" and "strictly copositive", "cannot determined," respectively.

From (25), we can see that G o is a K×(K−M) matrix and there is mathbf{G}_{o}^{H}mathbf{G}_{o}=mathbf{I}_{K-M} (26).

Furthermore, we assume the coefficient matrix A x) = (a i,j (x 2 × 2 ∈ (W1,∞ 2 × 2 is a symmetric 2 × 2-matrix and there is a constant c > 0 satisfying for any vector X ∈ ℝ 2, X ′ A X ≥ c X ℝ 2 2. Here, K denotes the admissible set of the control variable, defined by K = u ∈ U = L 2 : ∫ Ω u ≥ 0. (1.5).