We discuss a natural way to deene barycentric coordinates associated with circular arcs. This leads to a theory of Bernstein-B ezier polynomials which parallels the familiar interval case, and which has close connections to trigonometric polynomials. x1. Introduction Bernstein-B ezier (BB-) polynomials deened on an interval are useful tools for constructing piecewise functional and parametric c...

Using the boundary element dual reciprocity method-multi domain (DRM-MD), bound electron states and the corresponding wave functions in semiconductor quantum wires embedded in a matrix were considered. The single circular and rectangular as well as the two near circular quantum wires were analysed. In the case of two coupled quantum wires, the dependence of the resulting wave function and eigen...

With the aim of achieving stable operation of circular saws, this study finds the solution for the optimization problem that involves choosing a set of tensioning parameters in a rotating circular saw that is subjected to both a local temperature distribution and the in-plane plastic strain over a double annular domain. The solution for the in-plane forces is obtained on the basis of plate bend...

Future wireless communication systems are demanding a more flexible physical layer. GFDM is a block filtered multicarrier modulation scheme proposed to add multiple degrees of freedom and to cover other waveforms in a single framework. In this paper, GFDM modulation and demodulation is presented as a frequency-domain circular convolution, allowing for a reduction of the implementation complexit...

A Finsler geometric surface model is studied as a coarse-grained model for membranes of three components, such as zwitterionic phospholipid (DOPC), lipid (DPPC) and an organic molecule (cholesterol). To understand the phase separation of liquid-ordered (DPPC rich) Lo and liquid-disordered (DOPC rich) Ld, we introduce a binary variable σ(= ±1) into the triangulated surface model. We numerically ...

This paper presents the derivation and effects of a genuine algorithm for identification of circular parametric operators describing performance of periodically time-varying systems, of one input – one output type. The periodic steady state is taken into the consideration, while the period of the change of the system parameters overlaps the period of the changes of input and output signals. Wit...

In this paper a module consisting of a Fast Least Mean Square (FLMS) filter is modeled and verified to eliminate acoustic echo, which is a problem for hands free communication. However the acoustic echo cancellation (AEC) is modeled using digital signal processing technique especially Simulink Blocksets. The needed algorithm code is generated in Matlab Simulink programming. At the simulation le...

A new meshless Local Boundary Integral Equation (LBIE) method for solving two-dimensional elastostatic problems is proposed. Randomly distributed points without any connectivity requirement cover the analyzed domain and Local Radial Basis Functions (LRBFs) are employed for the meshless interpolation of displacements. For each point a circular support domain is centered and a local integral repr...

Analytical solutions are constructed for an assembly of any finite number of bubbles in steady motion in a Hele-Shaw channel. The solutions are given in the form of a conformal mapping from a bounded multiply connected circular domain to the flow region exterior to the bubbles. The mapping is written as the sum of two analytic functions-corresponding to the complex potentials in the laboratory ...

We give an example of a bounded, pseudoconvex, circular domain in Cn for any n ≥ 3 with smooth real-analytic boundary and non-compact automorphism group, which is not biholomorphically equivalent to any Reinhardt domain. We also give an analogous example in C, where the domain is bounded, non-pseudoconvex, is not equivalent to any Reinhardt domain, and the boundary is smooth real-analytic at al...