We prove explicit lower bounds for the smallest singular value and upper condition number of rectangular, multivariate Vandermonde matrices with scattered nodes on complex unit circle. Analogously to Shannon-Nyquist criterion, are assumed be separated by a constant divided used polynomial degree. If this grows linearly spatial dimension, is uniformly bounded. it only logarithmically can, in wor...

We describe an experimental test of a new theory of the unidirectional freezing of aqueous colloidal suspensions. At low freezing speeds a planar ice lens completely rejects the particles, forming a steady-state compacted boundary layer in the liquid region. At higher speeds the planar interface becomes thermodynamically unstable and breaks down geometrically to trap bulk regions of colloid wit...

Supply Chain Integration (SCI) is defined by Bowersox et al. (1999) as the simultaneous orchestration of four critical flows: product/service, market accommodation, information, and cash within and across companies. Analogously, Supplier Integration (SI) is defined as a practice that links externally performed work of the supplier into a seamless congruency with internal work processes (Bowerso...

The cosmic holographic principle suggested by Fischler and Susskind has been examined in (2+1)-dimensional cosmological models. Analogously to the (3+1)-dimensional counterpart, the holographic principle is satisfied in all flat and open universes. For (2+1)-dimensional closed universes the holographic principle cannot be realized in general. The principle cannot be maintained, neither introduc...

A statistical test is presented to decide whether data are adequately described by probabilistic functions of finite state Markov chains (" hidden Markov models ") as applied in the analysis of ion channel data. Particularly, the test can be used to decide whether a system obeys the Markov condition. Simulation studies are performed in order to investigate the sensitivity of the proposed test a...

In this paper, we explore the use of keyboard strokes as a means to access the real-time writing process of online authors, analogously to prosody in speech analysis, in the context of deception detection. We show that differences in keystroke patterns like editing maneuvers and duration of pauses can help distinguish between truthful and deceptive writing. Empirical results show that incorpora...

We develop a rigorous algebraic background for representations of triangle groups in linear groups over algebras arising from factor rings of multivariate polynomial rings. This is then used to substantially improve the existing upper bounds on the order of epimorphic images of triangle groups with a given injectivity radius and, analogously, the size of the associated hypermaps of a given type...

In this paper we study the combinatorial structure of the Hawaiian earring group, by showing that it can be represented as a group of transfinite words on a countably infinite alphabet exactly analogously to the representation of a finite rank free group as finite words on a finite alphabet. We define a big free group similarly as the group of transfinite words on given set, and study their gro...

This paper presents an application of the so-called modified quasilinean'zation method to the solution nonlinear, implicite two-point boundary-value problems. Analogously as in the explicit case the resulting algorithm exhibits the descent property in the auxiliary performance index which measures the cumulative error in the differential equations and the boundary conditions. Practical importan...

In Part I of this work we defined a generalization of the concept of effective resistance to directed graphs, and we explored some of the properties of this new definition. Here, we use the theory developed in Part I to compute effective resistances in some prototypical directed graphs. This exploration highlights cases where our notion of effective resistance for directed graphs behaves analog...