The present paper is devoted to studying the maps corresponding suborbital graphs for normalizer ΓB(N) of Γ0(N) modulo N, where N denotes a positive integer. We reveal complete structure these maps, finding their vertices, edges, darts, and faces explicitly. we investigated in were all regular large genus except some low values N.

Quantification of gene expression is important to confirm changes in levels of gene expression in disease. Prior quantification methods include standard curves, absolute quantification, and relative quantification. This paper describes an analytic method for the relative quantification of Presenilin-1 (PS-1) in neurons and Forkhead-box (FOX) p3 in PBMNCs using real-time PCR analytic techniques....

We investigate the class of N -determined p-compact groups and the class of p-compact groups with N -determined automorphisms. A p-compact group is said to be N -determined if it is determined up to isomorphism by the normalizer of a maximal torus. The automorphisms of a p-compact group are said to be N -determined if they are determined by their restrictions to this maximal torus normalizer.

Malware is code designed for a malicious purpose, such as obtaining root privilege on a host. A malware detector identifies malware and thus prevents it from adversely affecting a host. In order to evade detection by malware detectors, malware writers use various obfuscation techniques to transform their malware. There is strong evidence that commercial malware detectors are susceptible to thes...

We observe that the von Neumann (for short, W*-)envelope of the quantum algebra of functions on the normalizer of the group SU(1, 1) ∼= SL(2,R) in SL(2,C) via deformation quantization contains the von Neumann algebraic quantum normalizer of SU(1, 1) in the frame work of Waronowicz-Korogodsky. We then use the technique of reduction to the maximal subgroup to compute the K-theory, the periodic cy...

Study of the normalizer of the MAD-group corresponding to a fine grading offers the most important tool for describing symmetries in the system of non-linear equations connected with contraction of a Lie algebra. One fine grading that is always present in any Lie algebra sl(n, C) is the Pauli grading. The MAD-group corresponding to it is generated by generalized Pauli matrices. For such MAD-gro...

We propose and study two new computational models for quantum computation, and infer new insights about the circumstances that give quantum computers an advantage over classical ones. The bomb query complexity model is a variation on the query complexity model, inspired by the Elitzur-Vaidman bomb tester. In this model after each query to the black box the result is measured, and the algorithm ...

In this paper we study the homogeneous conic system F : Ax = 0, x ∈ C \ {0}. We choose a point s̄ ∈ intC∗ that serves as a normalizer and consider computational properties of the normalized system Fs̄ : Ax = 0, s̄T x = 1, x ∈ C. We show that the computational complexity of solving F via an interior-point method depends only on the complexity value θ of the barrier for C and on the symmetry of the ...