Jack function theory is useful for the calculation of the moment of the characteristic polynomials in Dyson’s circular β-ensembles (CβE). We define a q-analogue of the CβE and calculate moments of characteristic polynomials via Macdonald function theory. By this q-deformation, the asymptotics calculation of these moments becomes simple and the ordinary CβE case is recovered as q → 1. Further, b...

great value to the student of legal medicine. It is in fact such a book as Coull Mackenzie, if his life had been spared, might have written after long service as Police Surgeon, Calcutta. The volume deals with parts of the subject of forensic medicine which are alwajTs inadequately dealt with in ordinary treatises on legal medicine. The first part deals very fully with the phenomena of death, t...

Numerical methods for stochastic ordinary differential equations typically estimate moments of the solution from sampled paths. Instead, in this paper we directly target the deterministic equation satisfied by the first and second moments. For the canonical examples with additive noise (Ornstein–Uhlenbeck process) or multiplicative noise (geometric Brownian motion) we derive these deterministic...

We study the impact that a heavy generation of vectorlike leptons can have on the value of the electric dipole moment of the electron, and the rates for the flavor violating processes ! e and ! 3e. The smallness of the charged lepton masses suggests that at least some of the Yukawa coupling constants of the vectorlike leptons to the ordinary leptons or amongst themselves are small, but even wit...

We describe the basic Dolbeault cohomology algebra of canonical foliation on a class complex manifolds with torus symmetry group. This includes moment-angle manifolds, LVM- and LVMB-manifolds and, in most generality, maximal holomorphic action. also provide DGA model for ordinary algebra. The Hodge decomposition is proved by reducing to transversely Kähler (equivalently, polytopal) case using f...

A new simulation-optimization methodology is developed for cost-effective sampling network design associated with long-term monitoring of large-scale contaminant plumes. The new methodology is similar in concept to the one presented by Reed et al. (Reed, P.M., Minsker, B.S., Valocchi, A.J., 2000a. Cost-effective long-term groundwater monitoring design using a genetic algorithm and global mass i...

The question of whether architectural creativity is more of an artistic or engineering nature is one with a long history but also one with no conclusive answer. The art camp would argue that technology should be treated as a means towards and end, and that technology alone cannot give meaning to our lives. The engineering camp on the other hand would argue that good problem-solving result...

In this paper, we find that a magnetic transition dipole moment between tau and sterile neutrinos can account for the XENON1T excess events. Unlike ordinary neutrino moment, introduction of new mass scale allows astrophysical bounds to be suppressed. Interestingly, best-fit regions are compatible with SN1987A imply either boron-8 as source flux. We in $\ensuremath{\sim}(500--800)\text{ }\mathrm...

In recent decades, there have been numerous endeavors to develop a novel category of survival distributions possessing enhanced flexibility through the extension existing distributions. This article constructs and validates statistical properties distribution in order obtain an alternative that is suitable for analyzing data by presenting mixture Fréchet along with such as probability density f...