But what about high dimensions? What is the density of the points near the mean? And how far away is the average point from it’s component mean? Let us address this questions for a single isotropic Gaussian distribution. First, note that E[‖x‖] = nσ. Hence, on average, we expect a point to be rather far from mean, but let us quantify this. Recall, that the distribution of ‖x‖ is a χn distributi...

Wide area computer networks have become a basic part of today's computing infrastructure. These networks connect a variety of machines, presenting an enormous computing resource. In this project we focus on developing methods and tools which allow a programmer to tap into this resource. In this paper we describe PVM and HeNCE, tools and methodology under development that assists a programmer in...

As sensor nodes are deployed anywhere in a wireless sensor network, hence their communication can be easily monitored. In these networks, message protection and node identification are very issues. Hence, security of large scale such networks requires efficient key distribution and management mechanisms. Quantum cryptography and particularly quantum key distribution is such a technique that all...

Inferring which signals have a common underlying cause, and hence should be integrated, represents a primary challenge for a perceptual system dealing with multiple sensory inputs [1-3]. This challenge is often referred to as the correspondence problem or causal inference. Previous research has demonstrated that spatiotemporal cues, along with prior knowledge, are exploited by the human brain t...

Then cuIi = 0. Hence every c -̂Ii = 0, Ji = L44. But Ii is free of At. Hence h = Ö, I = 0, £ = 0. THEOREM. Every linear covariant of q± is a linear function ofL,A4L,KL. Next, let co > 1. After subtracting from C a constant multiple of qJJ*", whose leader is b^u, we have d = 0 in S. Express S± as a polynomial in c^, cw, fei, and call p the coefficient of their product. The coefficient of c^Cis in...

The growing global competition is pushing for product lifecycle reduction, so that manufacturing system lifetime becomes much longer than the product lifecycle and, hence, flexibility is a strict necessity. Product and production system lifecycle co-design is hence a necessity for effective investments and, consequently, to make manufacturing attractive. To this aim, this paper presents a Life ...

Mobile ad-hoc networks are networks that have properties of self configuration and multi hopping. These networks do not have any fixed infrastructure and need to be dynamic in nature. The specification of dynamism leads to various security breaches that a MANET suffers from such as impersonation, data modification etc. which results in degradation of performance and hence QOS is strongly affect...

1985 where Pmin = ypk F PInax = map, k occur together on every line. Lemma 1 applies and hence the system (7) reduces to one equation, 62(KPrnin-l)-6(0KP~~-Pain)-eP~a.x r O. (12) The coefficient of a2 and the free term both are negative. Hence, (12) admits positive solutions if and only if the discriminant is positive and the coefficient of-S is negative. We get e2K2 2 Pmax-2~(2PIn,-KP~, pain) ...