There are algorithms for finding zeros or fixed points of nonlinear systems of equations that are globally convergent for almost all starting points, i.e., with probability one. The essence of all such algorithms is the construction of an appropriate homotopy map and then tracking some smooth curve in the zero set of this homotopy map. HOMPACK is a mathematical software package implementing glo...

this paper studies the effect of flexible linear torso on the dynamics of passive quadruped bounding. a reduced-order passive and conservative model with linear flexible torso and springy legs is introduced. the model features extensive spine deformation during high-speed bounding, resembling those observed in a cheetah. fixed points corresponding to cyclic bounding motions are found and calcul...

Recent experiments indicate a connection between the low- and high-frequency noises affecting superconducting quantum systems. We explore the possibilities that both noises can be produced by one ensemble of microscopic modes, made up, e.g., by sufficiently coherent two-level systems (TLS's). This implies a relation between the noise power in different frequency domains, which depends on the di...

This paper proposes a new methodology to improve robustness of recognition performance to aggregate of noises by two-dimensional visualization technique. At first, an aggregate of noises existing in adverse environments are collected as much as possible. Then, hidden Markov model (HMM) for each collected noise is trained. Aggregate of the trained HMMs are visualized into two-dimensional map by ...

Let $mathcal {A} $ and $mathcal {B} $ be C$^*$-algebras. Assume that $mathcal {A}$ is of real rank zero and unital with unit $I$ and $k>0$ is a real number. It is shown that if $Phi:mathcal{A} tomathcal{B}$ is an additive map preserving $|cdot|^k$ for all normal elements; that is, $Phi(|A|^k)=|Phi(A)|^k $ for all normal elements $Ainmathcal A$, $Phi(I)$ is a projection, and there exists a posit...

extended abstractintroductiona map is a drawing ground features on one side of the paper. the cartographic maps are representations of the earth upon a flat surface in the smaller scale than it’s true. large scale maps cover relatively small regions in great detail and small scale maps cover large regions such as nations, continents and the whole globe. logical connection between the features a...