We study the role of visual reasoning as a computat iona l ly feasible heuristic too l in geometry prob lem solving. We use an algebraic nota t ion to represent geometric objects and to manipulate them. We show that this representation captures powerfu l heuristics for p rov ing geometry theorems, and that it allows a systematic manipu la t ion of geometric features in a manner similar to what ...

The impression of free will is the feeling according to which our choices are neither imposed from our inside nor from outside. It is the sense we are the ultimate cause of our acts. In direct opposition with the universal determinism, the existence of free will continues to be discussed. In this paper, free will is linked to a decisional mechanism: an agent is provided with free will if having...

This study aimed to examine the familial aggregation of blood pressure with respect to anthropometric variables in an upper-middle class business community in Punjab, a northern state of India. The results were evaluated in a sample of 75 families, constituting 305 individual from three generations such as offspring, parental and grandparental. The data were analyzed through familial correlatio...

This paper takes a fresh look at three issues in the aid effectiveness debate. First, we assess the theoretical case for foreign aid. Using an endogenous growth version of the standard overlapping generations model, we show that aid can be an effective policy tool in spurring growth in poor countries. This model also furnishes a theoretical foundation for the approach taken in many empirical st...

We study the effects of quenched disorder on the dynamics of two-dimensional arrays of overdamped Josephson junctions. Disorder in both the junction critical currents and resistances is considered. Analytical results for small arrays are used to identify a physical mechanism which promotes frequency locking across each row of the array, and to show that no such locking mechanism exists between ...

We prove that if A is an infinite von Neumann algebra (i. e., the identity can be decomposed as a sum of a sequence of pairwise disjoint projections, all equivalent to the identity) then the cyclic cohomology of A vanishes. We show that the method of the proof applies to certain algebras of infinite matrices.

The blooming of location-sharing services has led to serious privacy concerns, particularly location privacy concerns. In this paper, we first discuss the definition of location privacy and then review several location privacy protection mechanisms. After that, we classify location privacy protection mechanisms into four categories: legislation & regulatory, anonymity & obfuscation, protocol an...

The universal C*-algebra generated by n projections has been described. As an immediate corollary one obtains structure theorem for a pair of projections and the solution to an associated index problem. This puts the study of a pair of projections in the proper perspective of noncommutative geometry. keyword: Index problem, crossed product, Fredholm module, pair of projections. MSC 46L87.