In this letter, a novel built-in self-test (BIST) structure based on operational transconductance amplifiers and grounded capacitors (OTA-Cs) for the fault diagnosis of analog circuits is proposed. The proposed analog BIST structure, namely ABIST, can be used to increase the number of test points, sampling and controlling of all test points with voltage data, and making less time for test signa...

Stochastic dynamics is generated by a matrix of transition probabilities. Certain eigenvectors of this matrix provide observables, and when these are plotted in the appropriate multidimensional space the phases (in the sense of phase transitions) of the underlying system become manifest as extremal points. This geometrical construction, which we call an observable representation of state space,...

In this article I will survey some relatively recent joint work with S.Rallis, in which we extend the classical formula of Siegel and Weil. In the classical case, this formula identifies a special value of a certain Eisenstein series as an integral of a theta function. Our extension identifies the residues of the (normalized) Eisenstein series on Sp(n) as ‘regularized’ integrals of theta functi...

Recently the study of Fay-type identities revealed some new features of the DKP hierarchy (also known as “the coupled KP hierarchy” and “the Pfaff lattice”). Those results are now extended to a Toda version of the DKP hierarchy (tentatively called “the Pfaff–Toda hierarchy”). Firstly, an auxiliary linear problem of this hierarchy is constructed. Unlike the case of the DKP hierarchy, building bl...

We study the flexibility of pressure function a continuous potential (observable) with respect to parameter regarded as inverse temperature. The points non-differentiability this are particular interest in statistical physics, since they correspond phase transitions. It is well known that convex, Lipschitz, and has an asymptote at infinity. prove setting one-dimensional compact symbolic systems...

We investigate the effect of clustering on network observability transitions. In model introduced by Yang et al. (2012), a given fraction nodes are chosen randomly, and they those neighbors considered to be observable, while other unobservable. For random clustered networks, we derive normalized sizes largest observable component (LOC) unobservable (LUC). Considering case where numbers edges tr...

in this paper, using the best proximity theorems for an extensionof brosowski's theorem. we obtain other results on farthest points. finally, wedene the concept of e- farthest points. we shall prove interesting relationshipbetween the -best approximation and the e-farthest points in normed linearspaces (x; ||.||). if z in w is a e-farthest point from an x in x, then z is also a-best ...