Because of the revolution in the field of Internet and E-commerce, users are overwhelmed by choices either it may be a book or movie or Music etc. Recommendations systems are serving as one of the important tool to handle information overloading by providing recommendations to users. In this paper we proposed a method to handle music recommendation problem. Unsupervised discretization is used t...

In this note, we will discuss two aspects of brane-antibrane forces. In one aspect, we generalize the force calculation of D0-D̄0 of Banks and Susskind to Dp-D̄p for 1 ≤ p ≤ 8. In particular, we find that the force is also divergent for p = 1 while for the other cases (p ≥ 2) the forces are in general finite when Z → 0+, where Z = Y 2 2π2α′ − 1 with Y , the brane-antibrane separation. However, th...

As customers become more skilled in the use of internet, many companies have gradually established their websites with more and more enormous information to get future competition in electronic commerce (EC). However, the miscellaneous information often brings the users at a loss. Web personalization provides a solution to improvement of information overloading on websites. The objective of web...

As predicted by Susskind the Web is becoming an important vehicle for marketing the legal practice and a tool enabling the delivery of legal services to clients. To what extent can law firms benefit from selling their services through this medium? Despite the growth of the Web, there is little research concerning the functionality and strategic business use of Web sites within the area of the p...

We evaluate chiral anomaly on the noncommutative torus with the overlap Dirac operator satisfying the Ginsparg-Wilson relation in arbitrary even dimensions. Utilizing a topological argument we show that the chiral anomaly is combined into a form of the Chern character with star products. ∗) E-mail: [email protected] ∗∗) E-mail: [email protected] 1 typeset using PTPTEX.cls 〈Ver.0.89〉

We study the phenomenology of a supersymmetric bulk in the scenario of large extra dimensions. The virtual exchange of gravitino KK states in selectron pair production in polarized e+e− collisions is examined. The leading order operator for this exchange is dimension six, in contrast to that of graviton KK exchange which induces a dimension eight operator at lowest order. Some kinematic distrib...

We analyse the baryon magnetic moments in a model that relates them to the parton spins ∆u, ∆d, ∆s, and includes a contribution from orbital angular momentum. The specific assumption is the existence of a 3-quark correlation (such as a flux string) that rotates with angular momentum 〈Lz〉 around the proton spin axis. A fit to the baryon magnetic moments, constrained by the measured values of the...

We review the detailed structure of the large N = 4 superconformal algebra, and construct its BRST operator which constitutes the main object for analyzing N = 4 strings. We then derive the general condition for the nilpotency of the BRST operator and show that there exists a line of critical N = 4 string theories. e-mail address: [email protected] e-mail address: [email protected], ohta@...

The submanifold Dirac operator has been studied for this decade, which is closely related to Frenet-Serret and generalized Weierstrass relations. In this article, we will give a submanifold Dirac operator defined over a surface immersed in E with U(1)-gauge field as torsion in the sense of the Frenet-Serret relation, which also has data of immersion of the surface in E. MSC2000: 34L40, 53A05, 5...

Given separable Banach spaces X, Y , Z and a bounded linear operator T : X → Y , then T is said to preserve a copy of Z provided that there exists a closed linear subspace E of X isomorphic to Z and such that the restriction of T to E is an into isomorphism. It is proved that every operator on C([0, 1]) which preserves a copy of an asymptotic ℓ1 space also preserves a copy of C([0, 1]).