Black hole spectroscopy with gravitational waves is an important tool to measure the mass and spin of astrophysical black holes test their Kerr nature. Next-generation ground- space-based detectors will observe binary mergers large signal-to-noise ratios perform routinely. It was recently shown that small perturbations due, e.g., environmental effects (the "flea") effective potential governing ...

let $d$ be an integral domain and $star$ a semistar operation stable and of finite type on it. we define the semistar dimension (inequality) formula and discover their relations with $star$-universally catenarian domains and $star$-stably strong s-domains. as an application, we give new characterizations of $star$-quasi-pr"{u}fer domains and um$t$ domains in terms of dimension ine...

financial and economic relationships are undeniable realities and impressive factors in familial relations, and there are reciprocal interactions between these two. the existence of this relationship has caused the familial relations to be realized as effective in the penal destiny of aggressions against properties in the penal jurisprudence and statutes. in islamic jurisprudence, familial immu...

In this paper, a fundamental solution for the Mindlin plate theory with damping is derived in the Laplace transform domain first time. The applications of this fundamental solution are demonstrated by the method of fundamental solution (MFS). All variables in the time domain can be obtained by the Durbin’s Laplace transform inversion method. Numerical examples demonstrate the accuracy of the me...

according to the articles 169 to 179 of the civil judgment enforcement law, the enforcement of the foreign judgment in the iranian law is based on the reciprocal act. but extension of international relations in the world today, above all in the commercial domain, requires that enforcement of foreign judgment be accepted after obtaining its correctness conditions based on res judicata. therefore...

The primary reasons for conducting fundamental research are satisfying curiosity, acquiring knowledge, and achieving understanding. Here we develop why we believe it is essential to promote basic ecological research, despite increased impetus for ecologists to conduct and present their research in the light of potential applications. This includes the understanding of our environment, for intel...

L It is a result familiar in the theory of automorphic form s that an entire automorphic form of positive dimension on an H-group is identically zero (see sec. 2 for the definitions). This follows immediately , for exa mple, from the well-known exac t formula for the Fourier coefficie nts of automorphic forms of positive dimension ([1], p. 314).1 Another proof is by means of a formula for the n...

Let (V,Z) be a Topological Quantum Field Theory over a field f defined on a cobordism category whose morphisms are oriented n+1-manifolds perhaps with extra structure (for example a p1 structure and banded link). Let (M,χ) be a closed oriented n+ 1-manifold M with this extra structure together with χ ∈ H1(M). Let M∞ denote the infinite cyclic cover of M given by χ. Consider a fundamental domain...