K Kedlaya proposed an method to count the number of Fq rational points in a hyper elliptic curve using the Leschetz xed points formula in Monsky Washinitzer Cohomology The method has been extended to super elliptic curves Gaudry and G urel immediately to characteristic two hyper elliptic curves and to Cab curves J Denef F Vercauteren Based on Miura theory which is associated with how a curve is...

Simultaneous Multithreading (SMT) is a technique that allows multiple independent threads to execute different instructions each cycle. Hyper-Threading (HT) is an implementation of SMT available on recent processors from Intel. Naturally, Multi-threaded applications are very suitable for SMT systems. However, HT due to extensive resource sharing may not suitably benefit OpenMP high performance ...

We determine the asymptotic behavior of entropy full coverings a $L \times M$ square lattice by rods size $k\times 1$ and $1\times k$, in limit large $k$. show that coverage is possible only if at least one $L$ $M$ multiple $k$, all allowed configurations can be reached from standard configuration being parallel, using basic flip moves replace $k k$ parallel horizontal vertical rods, vice versa...

The complex-step approximation for the calculation of derivative information has two significant advantages: the formulation does not suffer from subtractive cancellation errors and it can provide exact derivatives without the need to search for an optimal step size. However, when used for the calculation of second derivatives that may be required for approximation and optimization methods, the...

In this paper, we propose a new universal network, called recursive dual-net (RDN), as a potential candidate for the interconnection network of supercomputers with very large scale. The recursive dual-net is based on a recursive dual-construction of a base network. A k-level dual-construction for k > 0 creates a network containing (2m) k /2 nodes with node-degree d + k, where m and d are the nu...

A classification of self-dual ZZk-codes of modest lengths is known for small k. For k = 4, 6, 8, 9 and 10, the classification of self-dual ZZk-codes is extended to lengths 19, 12, 12, 12 and 10, respectively, by considering k-frames of unimodular lattices.

Starting from the dual action of (4, 4) 2D twisted multiplets in the harmonic superspace with two independent sets of SU(2) harmonic variables, we present its generalization which hopefully provides an off-shell description of general (4, 4) supersymmetric sigma models with torsion. Like the action of the torsionless (4, 4) hyper-Kähler sigma models in the standard harmonic superspace, it is ch...

Although serrated polyps were historically considered to pose little risk, it is now understood that progression down the serrated pathway could account for as many as 15%-35% of colorectal cancers. The sessile serrated adenoma/polyp (SSA/P) is the most prevalent pre-invasive serrated lesion. Our objective was to identify the CpG loci that are persistently hyper-methylated during serrated carci...

This  paper extends the notion of fuzzy $BCK$-subalgebras to fuzzy hyper $BCK$-subalgebras and defines an extended fuzzy $BCK$-subalgebras. This study  considers  a type of fuzzy hyper  $BCK$-ideals  in this  hyperstructure  and  describes   the  relationship  between hyper  $BCK$-ideals and  fuzzy hyper  $BCK$-ideals.  In fact, it tries to introduce   a  strongly  regular  relation  on hyper $...