Hybrid number system is a generalization of complex, hyperbolic and dual numbers. numbers hybrid polynomials have been the subject much research in recent years. In this paper, hybrinomials related to hyper-Fibonacci hyper-Lucas are defined. Then some algebraic properties newly defined examined such as recurrence relations summation formulas. Also, relation between given. Additionally, by using

Representation-based classification methods such as sparse representation-based classification (SRC) and linear regression classification (LRC) have attracted a lot of attentions. In order to obtain the better representation, a novel method called projection representation-based classification (PRC) is proposed for image recognition in this paper. PRC is based on a new mathematical model. This ...

A bstract We study the topologically twisted index of 3d $$ \mathcal{N} N = 2 supersymmetric gauge theories with unitary groups. implement a Gröbner basis algorithm for computing Σ g × S 1 explicitly and exactly in terms associated Bethe ideal, which is defined as algebraic ideal equations corresponding -mode...

In this paper, persents the definitions of strongly prime ideal, strongly prime N-subgroup, Pseudo-valuation near ring and Pseudo-valuation N-group. Some of their properties have also been proven by theorems. Then it is shown that, if N be near ring with quotient near-field K and P be a strongly prime ideal of near ring N, then is a strongly prime ideal of ‎‎, for any multiplication subset S of...

Abstract Hyper-Kamiokande (Hyper-K) is a next generation underground large water Cherenkov detector. Its tank will be filled with 260000 metric tons of ultra-pure fiducial volume 0.19 Mtons, which about 8 times larger than that its predecessor Super-Kamiokande. In volume, light produced by neutrino interactions and detected newly developed photo sensors installed in dedicated frame. Two differe...

These are notes from my series of 8 lectures on tangent spaces and obstruction theories, which were part of a MSRI summer workshop on Deformation Theory and Moduli in Algebraic Geometry (July 23 – August 3, 2007). Nothing in these notes is original. For a list of references where this material (and much more!) can be found see the end of the notes. These are the (slightly cleaned up) notes prep...