Algorithms based on spectral graph cut objectives such as normalized cuts, ratio cuts and ratio association have become popular in recent years because they are widely applicable and simple to implement via standard eigenvector computations. Despite strong performance for a number of clustering tasks, spectral graph cut algorithms still suffer from several limitations: first, they require the n...

Structural control systems have proven effective in minimizing the response of civil engineering structures to extreme load events such as earthquakes and tropical storms. The design of traditional feedback control systems is dependent on the assumption of the structure being linear time invariant. This assumption may be violated during extreme loads due to system nonlinearity and the introduct...

We show the existence of self-dual (topological) solitons in a gauged version baby Skyrme model which Born-Infeld term governs gauge field dynamics. The successful implementation Bogomol'nyi-Prasad-Sommerfield formalism provides lower bound for energy and respective equations whose solutions are saturating such limit. (Bogomol'nyi bound) is proportional to topological charge therefore quantized...

Weakly nonlinear composite conductors are characterized by position-dependent dissipation potentials expressible as an additive composition of a quadratic potential and nonquadratic weighted small parameter. This form carries over to the effective when expanded first order in However, first-order correction this asymptotic expansion depends only on zeroth-order values local fields, namely, fiel...

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.