Ranked preference data arise in the situation that a large number of people (voters) rank several objects (candidates) in order of their extent of preference, for instance, multiple voting with ranking or a questionnaire of preference ranking. Such data are supposed to include the information about similarity among candidates in the sense that those who are highly preferred by the same voter wo...

We have carried out a series of small scale collisional N-body calculations of single-mass star clusters to investigate the dependence of the lifetime of star clusters on their initial parameters. Our models move through an external galaxy potential with a logarithmic density profile and they are limited by a cut-off radius. In order to find scaling relations between the lifetime of star cluste...

Most of the contour detection methods suffers from some drawbacks such as noise, occlusion of objects, shifting, scaling and rotation of objects in image which they suppress the recognition accuracy. To solve the problem, this paper utilizes Zernike Moment (ZM) and Pseudo Zernike Moment (PZM) to extract object contour features in all situations such as rotation, scaling and shifting of object i...

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We study the chemical potential of D-instantons in c = 0 noncritical string theory. In a recent work(hep-th/0405076), it was shown that the chemical potential can be calculated using the one matrix model. The calculation was done using the method of orthogonal polynomials and the authors obtained a universal value in the double scaling limit. We present an alternative method to calculate this v...

The heart of the crustaceans has its own pacemaker neurons inside the heart, which are composed of 9 neurons. The neurons receive innervations of only three kinds of axons originated from the central nervous system; one pair of inhibitory and two pairs of acceleratory axons. Thus, in terms of the neural cardiac control from higher center, this system may have much more simplistic operation comp...

The heart of the crustaceans has its own pacemaker neurons inside the heart, which are composed of 9 neurons. The neurons receive innervations of only three kinds of axons originated from the central nervous system; one pair of inhibitory and two pairs of acceleratory axons. Thus, in terms of the neural cardiac control from higher center, this system may have much more simplistic operation comp...

We propose an iterated version of the Gilbert model, which results in a sequence of random mosaics of the plane. We prove that under appropriate scaling, this sequence of mosaics converges to that obtained by a classical Poisson line process with explicit cylindrical measure. Our model arises from considerations on tropical plane curves, which are zeros of random tropical polynomials in two var...

The large deviation function obtained recently by Derrida and Lebowitz for the totally asymmetric exclusion process is generalized to the partially asymmetric case in the scaling limit. The asymmetry parameter rescales the scaling variable in a simple way. The finite-size corrections to the universal scaling function and the universal cumulant ratio are also obtained to the leading order.