Let K be an algebraic function field of characteristic 2 with constant field C K. Let C be the algebraic closure of a finite field in K. Assume that C has an extension of degree 2. Assume that there are elements u, x of K with u transcendental over C K and x algebraic over C(u) and such that K = C K (u, x). Then Hilbert's Tenth Problem over K is undecidable. Together with Shlapentokh's result f...

Let K be an algebraic function field of characteristic 2 with constant field CK . Let C be the algebraic closure of a finite field in K. Assume that C has an extension of degree 2. Assume that there are elements u, x of K with u transcendental over CK and x algebraic over C(u) and such that K = CK(u, x). Then Hilbert’s Tenth Problem over K is undecidable. Together with Shlapentokh’s result for ...

Let K be an algebraic function field of characteristic 2 with constant field C K. Let C be the algebraic closure of a finite field in K. Assume that C has an extension of degree 2. Assume that there are elements u, x of K with u transcendental over C K and x algebraic over C(u) and such that K = C K (u, x). Then Hilbert's Tenth Problem over K is undecidable. Together with Shlapentokh's result f...

We examine the problem of finding rational points defined over solvable extensions on algebraic curves defined over general fields. We construct non-singular, geometrically irreducible projective curves without solvable points of genus g when g is at least 40 over fields of arbitrary characteristic. We prove that every smooth, geometrically irreducible projective curve of genus 0, 2, 3 or 4 def...

Real systems always contain some degree of polydispersity and yet the effects of this real and very important problem have not been studied in great detail in NMR diffusion experiments. The effects of polydispersity become even less clear when we are outside the short gradient pulse (SGP) limit (which we generally are). Here we investigate the effects of polydispersity, in the form of a Gaussia...

This paper proposes a novel approach for generation scheduling using sensitivitycharacteristic of a Security Analyzer Neural Network (SANN) for improving static securityof power system. In this paper, the potential overloading at the post contingency steadystateassociated with each line outage is proposed as a security index which is used forevaluation and enhancement of system static security....

Let F be a finite set of monomials of the same degree d ≥ 2 in a polynomial ring R = k[x1, . . . , xn] over an arbitrary field k. We give some necessary and/or sufficient conditions for the birationality of the ring extension k[F ] ⊂ R, where R is the dth Veronese subring of R. One of our results extends to arbitrary characteristic, in the case of rational monomial maps, a previous syzygy-theor...

In this paper, a carangiform robotic fish with 4-DoF (degree of freedom) tail has been developed. The robotic fish has capability of swimming under two modes that are radio control and autonomous swimming. Experiments were conducted to investigate the influences of characteristic parameters including the frequency, the amplitude, the wave length, the phase difference and the coefficient on forw...

loxosceles rufescens , commonly known as the mediterranean recluse or mediterranean fiddle-back spider is recorded from iran for the first time. the genus loxosceles contains 103 accepted species, two of them (including l. rufescens ) are cosmopolitan. all loxosceles species tested so far possess necrotic venoms, which is a unique characteristic among the order araneae. considering this charact...