the behaviour of power transformers is very like to ideal ones. their characteristic matrices can not be determined directly, because the elements of the characteristic matrices are either close to infinity or zero. on the other hand, strong coupling between two transformer windings causes the determinant of these matrices to become zero. therefore, conversion of these matrices to each other wi...

in this paper we consider the group algebra $r(c_2times‎ ‎d_infty)$‎. ‎it is shown that $r(c_2times d_infty)$ can be‎ ‎represented by a $4times 4$ block circulant matrix‎. ‎it is also‎ ‎shown that $mathcal{u}(mathbb{z}_2(c_2times d_infty))$ is‎ ‎infinitely generated‎.

the subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called emph{affine subgroups.}~the split extension group $a(4)cong 2^7{:}sp_6(2)$ is the affine subgroup of the symplectic group $sp_8(2)$ of index $255$‎. ‎in this paper‎, ‎we use the technique of the fischer-clifford matrices to construct the character table of the inertia group $2^7{:}o^{-}_...

we survey some recent results on cocharacters of upper triangular matrices. in particular, we deal both with ordinary and graded cocharacter sequence; we list the principal combinatorial results; we show di erent tech-niques in order to solve similar problems.

Sompolinski and Zippelius (1981) propose the study of dynamical systems whose invariant measures are the Gibbs measures for (hard to analyze) statistical physics models of interest. In the course of doing so, physicists often report of an \aging" phenomenon. For example, aging is expected to happen for the Sherrington-Kirkpatrick model, a disordered mean-eld model with a very complex phase tran...

We introduce a novel method for odometry estimation using convolutional neural networks from 3D LiDAR scans. The original sparse data are encoded into 2D matrices for the training of proposed networks and for the prediction. Our networks show significantly better precision in the estimation of translational motion parameters comparing with state of the art method LOAM, while achieving real-time...

33 Matrices play an important role in mathematics and computer science, but more importantly, they are ubiquitous in our daily lives as they are instrumental in the efficient manipulation and storage of digital data. Matrix multiplication is essential not only in graph theory but also in applied fields, such as computer graphics and digital signal processing (DSP). DSP chips are found in all ce...

33 Matrices play an important role in mathematics and computer science, but more importantly, they are ubiquitous in our daily lives as they are instrumental in the efficient manipulation and storage of digital data. Matrix multiplication is essential not only in graph theory but also in applied fields, such as computer graphics and digital signal processing (DSP). DSP chips are found in all ce...