In the previous lecture, we showed that Shannon constructed a code, which was a one-to-one mapping, that took a stream of data X = (X1, ..., Xn) generated iid from a distribution P (X) over a finite alphabet A = (a1, ..., aA) of size A, and compressed it using ≈ nH(X) bits in total or ≈ H(X) bits per symbol, on average (for sufficiently large n). The code was based considering a special subset ...

This paper describes an ongoing eeort to verify the cache coherence protocol of the IEEE/ANSI Standard for Scalable Coherent Interface using the Mur' veriication system. A model of the typical set protocol was constructed in the Mur' description language. This model was augmented with a speciication of properties necessary for cache coherence. The Mur' veriication system automatically checks if...

This paper describes an ongoing eeort to verify the cache coherence protocol of the IEEE/ANSI Standard for Scalable Coherent Interface using the Mur' veriication system. A model of the typical set protocol was constructed in the Mur' description language. This model was augmented with a speciication of properties necessary for cache coherence. The Mur' veriication system automatically checks if...

We investigate the neutral Higgs sector of the minimal supersymmetric standard model in explicit CP violation scenario. Within the context of the effective potential formalism, the masses of the neutral Higgs bosons at the one-loop level are calculated by taking into account the contributions of the following loops of ordinary particles and superpartners: top quark, the scalar top quarks, botto...

In the first paper in this series we presented a typical set of galactic rotation curves associated with the conformal invariant fourth order theory of gravity which has recently been advanced by Mannheim and Kazanas as a candidate alternative to the standard second order Einstein theory. Reasonable agreement with data was obtained for four representative galaxies without the need for any non-l...

Traditional idea generation techniques based on customer input usually collect information on new product needs from a random or typical set of customers. The “lead user process” takes a different approach. It collects information about both needs and solutions from users at the leading edges of the target market, as well as from users in other markets that face similar problems in a more extre...

The lattice of the set partitions of [n] ordered by refinement is studied. Suppose r partitions p1, . . . , pr are chosen independently and uniformly at random. The probability that the coarsest refinement of all pi ’s is the finest partition {1}, . . . , {n} is shown to approach 0 for r = 2, and 1 for r ≥ 3. The probability that the finest coarsening of all pi ’s is the one-block partition is ...

Internal wave packets propagating vertically in the oceanic thermocline are investigated with numerical simulations. For a typical set of environmental and packet parameters, it is shown that linear dispersion will have a significant effect on the spreading and decay in amplitude of these packets. Sufficiently strong packets are shown to generate turbulence that forms a continuous ‘scar’ of sma...

Quantum data compression is one of the most fundamental tasks in quantum information theory[1, 2]. Schumacher first provided a tight bound (equal to the von Neumann entropy of the source) to which quantum information may be compressed[3]. From then on, many compression schemes have been proposed[4–13]. In this paper we will consider the universal quantum data compression in the case that we onl...

375 A 1-year-old castrated male domestic shorthaired cat was presented for evaluation of a 10-day history of lethargy, anorexia, decreased water consumption, and apparent discomfort. A complete blood count and serum chemistry profile revealed hypoalbuminemia, leukocytosis, and neutrophilia. The results of a combined ELISA test for feline leukemia virus and feline immunodeficiency virus were neg...