For every odd prime number p, we give examples of non-constant smooth families of genus 2 curves over fields of characteristic p which have pro-Galois (pro-étale) covers of infinite degree with geometrically connected fibers. The Jacobians of the curves are isomorphic to products of elliptic curves.

This paper rst presents some general properties of product networks pertinent to parallel ar-chitectures and then focuses on three case studies. These are products of complete binary trees, shuue-exchange, and de Bruijn networks. It is shown that all of these are powerful architectures for parallel computation, as evidenced by their ability to eeciently emulate numerous other archi-tectures. In...

using the mixed solvents, (water +ethanol + propanol), the solubility of cdf2 was determined byevaporating method at 25° c. the results showed that the sollbility, s, of cdf2 decreases bydecreasing the dielectric constant of the mixed solvent .once the solubility of cdf2 was determined,the concentration solubility product, ksp(c)=4s3, was calculated .furthermore ,by estimating the meanactivity ...

The organization and mechanism of prostaglandin synthetase in the vesicular gland of sheep was studied by determining the isotope effects in the transformation of [5,6,8, 9,11,12,14, IS]-octadeutero-arachidonic acid into prostaglandin Ez (PGE2), 11-dehydro-prostaglandin Fe, (PGF*,), PGF?,, and 12-hydroxy-5,8, IO-heptadecatrienoic acid. The first two products were formed from deuterated arachido...

This is part II of a series on noncompact isometry groups of Lorentz manifolds. We have introduced in part I, a compactification of these isometry groups, and called “bipolarized” those Lorentz manifolds having a “trivial ” compactification. Here we show a geometric rigidity of non-bipolarized Lorentz manifolds; that is, they are (at least locally) warped products of constant curvature Lorentz ...

We prove some unique prime factorization results for tensor products of type II1 factors of the form Γq(C, S⊗H) arising from symmetric independent copies with sub-exponential dimensions of the spaces Dk(S) and dim(H) finite and greater than a constant depending on q.

Two experimental techniques, electron swarm and electron beam, have been applied to the problem of electron attachment to POCl3, with results indicating that there is a competition between dissociation of the resonant POCl3-* state and collisional stabilization of the parent anion. In the electron beam experiment at zero electron energy, the fragment ion POCl2- is the dominant ion product of at...

In this research samples of PVOH were synthesized at various reaction conditions (temperature, time, and amount of catalyst). First at 25˚C and 45˚C and constant catalyst weight samples of PVOH were prepared with different degree of hydrolysis at various times. For investigation of the effects of temperature, at times 20 and 40 min and constant weight of catalyst PVOH was prepared at various te...

In this paper, we first show that for classical rational investors with correct beliefs and constant absolute or constant relative risk aversion, the utility gains from structured products over and above a portfolio consisting of the risk-free asset and the market portfolio are typically much smaller than their fees. This result holds irrespectively of whether the investors can continuously tra...