The manner in which anatomical rotation from an individual segment contributes to the position and velocity of the endpoint can be informative in the arena of many athletic events whose goals are to attain the maximal velocity of the most distal segment. This study presents a new method of velocity analysis using dual Euler angles and its application in studying rotational contribution from upp...

This paper deals with a result concerning the algebraic dual of the linear mapping defined by the multiplication of polynomial vectors by a given polynomial matrix over a commutative field

This paper presents a novel design of dual polarized space-fed antenna arrays with broad bandwidth and high isolation between two orthogonal ports. The dual polarized space-fed antenna arrays are designed with bottom radiating element electromagnetically coupled to two orthogonal open microstrip lines and top parasitic elements excited by the radiation from bottom radiating element, without any...

By the Assmus and Mattson theorem, the codewords of each nontrivial weight in an extremal doubly even self-dual code of length 24m form a self-orthogonal 5-design. In this paper, we study the codes constructed from self-orthogonal 5-designs with the same parameters as the above 5-designs. We give some parameters of a self-orthogonal 5-design whose existence is equivalent to that of an extremal ...

Recently there has been interest in determining the combinatorial structure of orthogonal matrices (see, for example, [BBS, S, W]). This interest is largely motivated by Paul Halmo s' challenge at the ``Qualitative and Structured Matrix Theory'' conference in 1991 to characterize the sign-patterns of orthogonal matrices which have no zero entries, and Miroslav Fiedler's conjecture at the SIAM A...

Orthogonal matrices over arbitrary elds are de ned together with their non-square analogs, which are termed row-orthogonal matrices. Antiorthogonal and self-orthogonal square matrices are introduced together with their non-square analogs. The relationships of these matrices to such codes as self-dual codes and linear codes with complementary duals are given.

This paper considers sparse regression modelling using a generalised kernel model in which each kernel regressor has its individually tuned centre vector and diagonal covariance matrix. An orthogonal least squares forward selection procedure is employed to select the regressors one by one, so as to determine the model structure. After the regressor selection, the corresponding model weight para...

A sparse regression modelling technique is developed using a generalised kernel model in which each kernel regressor has its individually tuned position (centre) vector and diagonal covariance matrix. An orthogonal least squares forward selection procedure is employed to append the regressors one by one. After the determination of the model structure, namely the selection of an appropriate numb...

Self-orthogonal codes and self-dual codes, on the one hand, matrix-product other, form important sought-after classes of linear codes. Combining two constructions would be advantageous. Adding to this combination relaxation underlying algebraic structures commutative rings instead fields even more The current article paves a path in direction. authors study problem self-orthogonality self-duali...

The choice of a finitely supported distribution is viewed as a degenerate bilinear form on the polynomials in the spectral parameter z and the matrix representing multiplication by z in terms of an orthogonal basis is constructed. It is then shown that the same induced time dependence for finitely supported distributions which gives the ith KP flow under the dual isomorphism induces the ith flo...