Double photoionization of argon into the 3s3p 5 1 P- and3 P-states

0 UG - 00 - 20 Spin ( p + 1 , p + 1 ) Covariant D p – brane Bound States

We construct Spin(p+1, p+1) covariant Dp–brane bound states by using that the potentials in the RR sector of toroidically compactified type II supergravity transform as a chiral spinor of the T–duality group. As an application, we show the invariance of the zero–force condition for a probe D–brane under noncommutative deformations of the background, which gives a holographic proof of the stabil...

Generating elements of orders dividing p 6 ± p 5 + p 4 ± p 3 + p 2 ± p + 1 Maciej Grześkowiak ∗

In this paper we propose an algorithm for computing large primes p and q such that q divides p + p + p + p + p + p + 1 or p − p + p − p + p − p + 1. Such primes are the key parameters for the cryptosystem based on the 7th order characteristic sequences.

Generating elements of orders dividing p 6 ± p 5 + p 4 ± p 3 + p 2 ± p + 1 Maciej

In this paper we propose an algorithm for computing large primes p and q such that q divides p + p + p + p + p + p + 1 or p − p + p − p + p − p + 1. Such primes are the key parameters for the cryptosystem based on the 7th order characteristic sequences.

Se p 20 06 THE MINIMAL RESOLUTIONS OF DOUBLE POINTS IN P 1 × P 1 WITH ACM SUPPORT

Let Z be a finite set of double points in P 1 × P 1 and suppose further that X, the support of Z, is arithmetically Cohen-Macaulay (ACM). The scheme Z is rarely ACM. In this note we present an algorithm, which depends only upon a combinatorial description of X, for the bigraded Betti numbers of I Z , the defining ideal of Z.

P-96: Polymorphisms in the 5