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"Symmetry is a complexity-reducing concept [...]; seek it every-where." - Alan J. Perlis Many natural and man-made objects exhibit significant symmetries or contain repeated substructures. This paper presents a new algorithm that processes geometric models ...
The first part of this thesis studies the problem of symmetry breaking in the context of simple mechanical systems with compact symmetry Lie group G. In this part we shall assume that the principal stratum of the G-action on the configuration space Q of a ...
In this paper, we present further improvements in the subdomain multilevel approach (SMA), one of the techniques used for fast full-wave analysis of large printed antennas and circuits. The time for filling the method of moments (MoM) matrix is improved in ...
Entirely unlike the arom. closo B6H62- and B12H122- borane dianions, isoelectronic Si62- and Si122- are antiarom. Their Oh and Ih symmetries are responsible, as the other deltahedral silicon dianion clusters do not exhibit this behavior. These high symmetr ...
The eigenmode spectrum is a fundamental starting point for the analysis of plasma stability and the onset of turbulence, but the characterization of the spectrum even for the simplest plasma model, ideal magnetohydrodynamics (MHD), is not fully understood. ...
Site-specific radiation damage on anomalously scattering sites can be used to generate additional phase information in standard single- or multi-wavelength anomalous diffraction (SAD or MAD) experiments. In this approach the data are kept unmerged, down to ...
As observed by variable-temperature and -pressure C-13 NMR, intramolecular carbonyl scrambling in Ir2Rh2(CO)(12) and Ir-4(CO)(11)(mu-SO2) proceeds via a 'change of basal face' mechanism. In both cases the site exchange process has a positive activation vol ...
We present photonic crystal structures that exhibit small group velocity of light, which can be used as compact optical delay component. We experimentally measure the group velocity reduction to be less than 0.008c. By breaking the rotation symmetry of the ...
We investigate the charge current that is optically injected by interference between one- and two-photon excitation in the presence of excitonic effects. We consider a realistic V-shaped quantum wire excited slightly below the band gap by two simultaneous ...
"The Stokes eigenmodes in the square are numerically determined and their symmetry properties are identified. The spectra evolution laws are in excellent qualitative agreement with the theoretical asymptotic predictions proposed by Constantin and Foias (in ...