Shannon[1] and Yavuz[2] estimated the entropy of real documents. This note drives an upper bound of entropy from the power law. Let D be a set of documents and f r(w) be the number of occurrences of a word w in the document. Given an interger k, we denote by F (k) the number of words whose frequency is k, i.e., F (k) = ♯{w ∈ D | f r(w) = k}. The entropy of the document set D is defined by E(D) ...

The struggle for power has been a persistent phenomenon throughout history, involving the rulers, general public, and various other interest groups. As one of these groups, the legal community has been in a unique position to regulate the relationship between the ruler and the public because of its dual responsibilities to provide services to the public and to impose constraints on the rulers. ...

Power-law distributions describe many phenomena related to rock fracture. Data collected to measure the parameters of such distributions only represent samples from some underlying population. Without proper consideration of the scale and size limitations of such data, estimates of the population parameters, particularly the exponent D, are likely to be biased. A Monte Carlo simulation of the s...

We explore the behavior of power-law shot noise, for which the associated impulse response functions assume a decaying power-law form. We obtain expressions for the moments, moment generating functions, amplitude probability density functions, autocorrelation functions, and power spectral densities for a variety of parameters of the process. For certain parameters the power spectral density exh...

The behavior of power-law shot noise, for which the associated impulse response functions assume a decaying power-law form, is explored. Expressions are obtained for the moments, moment generating functions, amplitude probability density functions, autoCorrelation functions, and power spectral densities for a variety of parameters of the process. For certain parameters the power spectral densit...

We present methods for drawing graphs that arise in various information networks. It has been noted that many realistic graphs have power law degree distribution and exhibit the small world phenomenon. Our algorithm is influenced by recent developments on modeling and analysis of such power law graphs.

Portfolio optimization methods suffer from a catalogue of known problems, mainly due to the facts that pair correlations asset returns are unstable, and extremal risk measures such as maximum drawdown difficult predict non-Gaussianity portfolio returns. \\ In order look at optimal portfolios for arbitrary penalty functions, we construct shapes where is proportional moment $p>2$. The resulting c...

Clusters are dominating high-performance computing (HPC) today. The success of this architecture is based on the fact that it profits from the improvements provided by main-stream computing well known under the label of Moore’s Law. But trying to get to Exascale within this decade might require additional endeavors beyond surfing this technology wave. In order to find a possible direction we re...

in this paper, a hybrid solid oxide fuel cell (sofc) and micro gas turbine (mgt) power system is parametrically studied to evaluate the effect of different operating conditions. the sofc/mgt power system includes sofc reactor, combustion chamber, compressor and turbine units, and two heat exchangers. the effects of fuel utilization, temperature, and pressure are assessed on performance of the h...