In this brief note, we prove the following two Artin-Schreier curves are supersin-gular.

The stability analysis of sleeve stiffened pin-ended slender hollow columns of pipe or box section is performed in the present study. This is accomplished by using energy method, employing three terms in the assumed approximate deflection function. The lengthy and tedious algebraic manipulations involved in solving the relevant eigenvalue problem, necessitates employing the "MATHEMATICA" softwa...

In this paper, we give a ‘direct’ construction of the endomorphism ring of supersingular elliptic curves over a prime field Fp from ‘ideal classes’ of Q( √−p). We use the result to prove that the result of Kaneko on ‘minimal’ CM liftings of such supersingular elliptic curves is a best possible result. We also prove that the result of Elkies on ‘minimal’ CM liftings of all supersingular elliptic...

in this note we review a simple criterion, due to ekedahl, for superspecial curves defined over finite fields.using this we generalize and give some simple proofs for some well-known superspecial curves.

Abstract In this paper, a tool able to support the sailing yacht designer during early stage of design process has been developed. Quadratic and cubic Rational Bézier curves have selected describe main defining hull yacht. The adopted approach is based upon definition set parameters, say length water line, beam waterline, canoe body draft some dimensionless coefficients according traditional wa...