A planar spiral called Generalized Log Aesthetic Curve segment (GLAC) has been proposed using the curve synthesis process with two types of formulation; ρ-shift and κ-shift. Both methods were carried out by extending the formulation of Generalized Cornu Spiral (GCS) in a similar manner to the Log Aesthetic Curve (LAC). The family of GLAC comprises of planar curves of high quality such as GCS, L...

The aim of the present paper is to introduce and use the generalized exponential shift operators, operators on the base a (a > 0, = 1), to deal with the families of pseudo-Kampé de Fériet polynomials, which can be viewed as the natural complement for the theory of fractional derivatives and partial fractional differential equations of evolutive type. We show that these families allow the possib...

A modification of the generalized shift-splitting (GSS) method is presented for solving singular saddle point problems. In this kind of modification, the diagonal shift matrix is replaced by a block diagonal matrix which is symmetric positive definite. Semiconvergence of the proposed method is investigated. The induced preconditioner is applied to the saddle point problem and the preconditioned...

Going back to the pioneering work of R. F. Williams, it has been widely believed that if elementary presentations (Ki, fi), i = 1, 2, satisfy the Williams axioms and fix the branch points, then there is a pointed conjugacy r : (lim ←−1 f1), y1) → (lim ←−2 f2), y2) between the natural shift maps f1 and f2 if and only if the fundamental group homomorphisms π1(f1, y1) and π1(f2, y2) are shift equi...

In our previous work [12], [13], we introduced generalized feed-forward shift registers (GF2SR, for short) to apply them to secure and testable scan design, where we considered the security problem from the viewpoint of the complexity of identifying the structure of GF2SRs. Although the proposed scan design is secure in the sense that the structure of a GF2SR cannot be identified only from the ...