In this paper we investigate the conditions under which a given ring is a sub-ring of a semi-simple ring. For convenience, we say that a ring A is an extension of a ring B, if B is a sub-ring of A. It is found that the existence of a semi-simple extension is equivalent to the vanishing of the extension radical, a two-sided ideal defined analogously to the ordinary radical. In Theorem II we give...

Despite considerable theoretical and computational work on coreference, deciding when two entities or events are identical is very difficult. In a project to build corpora containing coreference links between events, we have identified three levels of event identity (full, partial, and none). Event coreference annotation on two corpora was performed to validate the findings. 1 The Problem of Id...

In this article we present a simple robust method named Quasi-Confirmatory Factor Analysis (QCFA), with the purpose of comparing two factor structures, obtained by using exploratory factor analysis (EFA). EFA and CFA (confirmatory factor analysis) approaches, together with other methods that are used in this field, are often used simultaneously in cross-cultural research in testing the possibil...

We study the transverse Poisson structure to adjoint orbits in a complex semi-simple Lie algebra. The problem is first reduced to the case of nilpotent orbits. We prove then that in suitably chosen quasi-homogeneous coordinates the quasi-degree of the transverse Poisson structure is −2. In the particular case of subregular nilpotent orbits we show that the structure may be computed by means of ...

In this paper, a new soft switching three phase inverter with a quasi-resonant dc-link is presented. The proposed inverter has a dc-link switch and an auxiliary switch. The inverter switches are turned on and off under zero voltage switching condition and all auxiliary circuit switches and diodes are also soft switched. The control utilizes PWM and the auxiliary switch does not require an isola...

In current speech technology, linear prediction dominates. The linear vocal tract model is well justified biomechanically, and linear prediction is a simple and well understood signal processing task. However, it has been established that, in voiced sounds, the vocal folds exhibit a high degree of nonlinearity. Hence there exists the need for an approach to modelling the behaviour of the vocal ...

We have applied the methods of classical statistical mechanics to derive the inviscid equilibrium states for oneand two-layer nonlinear quasi-geostrophic flows, with and without bottom topography and variable rotation rate. In the one-layer case without topography we recover the equilibrium energy spectrum given by Kraichnan (1967). In the two-layer case, we find that the internal radius of def...

We study automata-theoretic properties of distances and quasi-distances between words. We show that every additive distance is nite. We also show that every additive quasi-distance is regularity-preserving, that is, the neighborhood of any radius of a regular language with respect to an additive quasi-distance is regular. As an application we present a simple algorithm that constructs a metric ...

Quasi-critical fluctuations occur close to critical points or close to continuous phase transitions. In three-dimensional systems, precision tuning is required to access the fluctuation regime. Lowering the dimensionality enhances the parameter space for quasi-critical fluctuations considerably. This enables one to make use of novel properties emerging in fluctuating systems, such as giant susc...

We determine the black hole quasi-normal mode spectrum for tensor perturbations in topologically massive AdS-gravity. In the special case of chiral gravity quasi-normal modes are absent despite of the presence of a horizon. In the process we uncover a simple algebraic structure in the quasi normal modes spectrum: the tower of QNM’s consists of descendents of a ”chiral highest weight” QNM which ...