We prove that the space-time developments of generic solutions of the vacuum constraint Einstein equations do not possess any global or local Killing vectors, when Cauchy data are prescribed on an asymptotically flat Cauchy surface, or on a compact Cauchy surface with mean curvature close to a constant, or for CMC asymptotically hyperbolic initial data sets. More generally, we show that non-exi...

let $r$ be an associative ring and let $m$ be a left $r$-module.let $spec_{r}(m)$ be the collection of all prime submodules of $m$ (equipped with classical zariski topology). there is a conjecture which says that every irreducible closed subset of $spec_{r}(m)$ has a generic point. in this article we give an affirmative answer to this conjecture and show that if $m$ has a noetherian spectrum, t...

Non-perturbative quantum geometric effects in Loop Quantum Cosmology predict a ρ modification to the Friedmann equation at high energies. The quadratic term is negative definite and can lead to generic bounces when the matter energy density becomes equal to a critical value of the order of the Planck density. The non-singular bounce is achieved for arbitrary matter without violation of positive...

The aim of this paper was to determine the role specificity in English article suppliance L1 Serbian speakers. Its impact on definite (the), indefinite (a/an), and zero (Ɵ) determined based a 40-item questionnaire. items were classified into four groups defined by combinations two semantic features: [±specific] [±definite]. Differences studied between group non-English language majors order tak...

We present in this paper a review on the linguistic literature on the types of uses of definite descriptions (noun phrases with the definite article the). Definite descriptions have been studied extensively by linguists, philosophers, psychologists, and computational linguists. The theories discussed in this paper help us to understand the problem of interpreting definite descriptions. We look ...