The meaning of quantum group transformation properties is discussed in some detail by comparing the (co)actions of the quantum group with those of the corresponding Lie group, both of which have the same algebraic (matrix) form of the transformation. Various algebras are considered which are covariant with respect to the quantum (super) groups SUq(2), SUq(1, 1), SUq(1|1), SUq(n), SUq(m|n), OSpq...

We study the transformation law of quantum fields in super Yang-Mills theory quantized in the Wess-Zumino gauge. It can be derived from a local version of generalized Slavnov-Taylor identities for general Green functions. Under suitable normalization conditions the transformations are local. Within the vector multiplet anomalous dimensions become equal. The breaking of susy shows up in Fock but...

We review recent progress in developing a new class of specially designed optical metamaterial spaces with functionalities that cannot be obtained with conventional optics or natural materials. These optical metamaterial spaces could enable innovative paradigms of transformation optics pertinent to optical cloaking, sub-wavelength sensing, super-resolution imaging, magnifying hyperlenses, and l...

We consider a broad class of systems of implicit differential-algebraic equations (DAEs) including the equations of mechanical systems with holonomic and nonholonomic constraints. We approximate numerically the solution to these DAEs by applying a class of super partitioned additive Runge-Kutta (SPARK) methods. Several properties of the SPARK coefficients, satisfied by the combination of Lobatt...

We present a nonlinear model transformation for adapting Gaussian Mixture HMMs using both static and dynamic MFCC observation vectors to the presence of additive noise. This transformation depends upon a few compensation coeecients which can be estimated from a short training token of noise. Alternatively, one can also apply maximum-likelihood stochastic matching to estimate the compensation co...

In robust statistics, the breakdown point of an estimator is the percentage of outliers with which an estimator still generates reliable estimation. The upper bound of breakdown point is 50%, which means it is not possible to generate reliable estimation with more than half outliers [1-2] . In this paper, it is shown that for majority of experiences, when the outliers exceed 50%, but if they ar...

This paper estimates an additive model semiparametrically, while automatically selecting the significant independent variables and the app~opriatc power transformation of the dependent variable. The nonlinear variables arc modeled as regression splincs, with significant knots selected fiom a large number of candidate knots. The estimation is made robust by modeling the errors as a mixture of no...

When estimating a generalized additive model, a crucial decision that must be made is the choice of underlying technique that will be used to estimate those transformations that produce the best-fitting model. Data smoothers and universal approximators are two opposing techniques that seem to hold the most promise. ACE (alternating conditional expectations) was developed by Breiman and Friedman...

Bending property of Ti-Ni alloy dental castings was evaluated in comparison with that of Co-Cr alloy in a cantilever test. Heat treatment effect on the bending property was also investigated in relation to phase transformation. Ti-50.85Ni (mol%) alloy was used, and the shape of bending test specimens was half-rounded in cross section, 2.0mm in diameter. The bending test was carried out at 310K....