in this study, the role of interaction of pi electrons on the strength of simultaneous σ-hole interactions (pnicogen, chalcogen and halogen bonds) is investigated using the quantum chemical calculations. x-ben||taz∙∙∙y1,y2,y3 complexes (x = cn, f, cl, br, ch3 , oh and nh2, taz= s-triazine and y1,y2 and y3 denotes ph2f, hsf, and clf molecules) is introduced as a model. the results show that inte...

Quasilocal mass in general relativity is a notion defined for a closed spacelike 2-surface in spacetime. In this note, we explain the definition in [23] and [24] from a mathematical viewpoint, emphasizing the connection to differential geometry and nonlinear partial differential equations. We also discuss a minimax interpretation of the definition and compare with other notions of quasilocal ma...

In this Letter, the counterintuitive and largely unknown Raman activity of oxygen atoms is evaluated for its capacity to determine absolute densities in gases with significant O-density. The study involves C mathvariant="normal">O</mml:mi...

Spectral change of σ and ω mesons in a dense nuclear medium Abstract The spectra of the scalar (σ) and vector (ω) mesons in nuclear matter are studied in detail using the quark-meson coupling (QMC) model. It is shown that above normal nuclear matter density the effects of σ-ω mixing and the decay of the σ into 2π change the spectra of σ and ω mesons considerably. As in Quantum Hadrodynamics we ...

ABSTRACT Relativistic magnetohydrodynamic shocks are efficient particle accelerators, often invoked in the models of gamma-ray bursts (GRBs) and shock-powered fast radio (FRBs). Most theoretical studies assume a perpendicular shock with an ordered magnetic field to normal. However, degree magnetization σ geometry GRB/FRB scenarios still poorly constrained by observations. Analogous associated t...

F theory and M theory are formulated as gauge theories of area preserving diffeomorphism algebra. Our M theory is shown to be 1-brane formulation rather than 0-brane formulation of M theory of Banks, Fischler, Shenker and Susskind and the F theory is shown to be 1-brane formulation rather than -1-brane formulation of type IIB matrix theory of Ishibashi, Kawai, Kitazawa and Tsuchiya. Area preser...

Theorem 1. Let X be a Poincare pair of dimension n ≥ 5, ζ a stable PL bundle on X, and f : M → X a degree one normal map, where M is a PL manifold. Let σ f ∈ Ω∞Lvq(X, ζX) be the relative signature of f , and suppose we are given a path p from σ f to the base point of Ω ∞Lvq(X, ζX). (We can identify such a path with a Lagrangian in the Poincare object representing σ f , which is well-defined up ...

Let A \mathfrak A be a type 1 subdiagonal algebra in alttex...

In this paper, we consider the one-dimensional stochastic heat equation driven by a space–time white noise. two different scenarios, (i) initial condition u0=1 and general nonlinear coefficient σ, (ii) u0=δ0 σ(x)=x (Parabolic Anderson Model), establish rates of convergence with respect to uniform distance between density spatial averages (renormalized) solution standard normal distribution. The...

Here are few notes on not necessarily normal toric varieties and resolution by toric blow-up. These notes are independent of, but in the same spirit as the earlier preprint [Tho03]. That is, they focus on the fact that toric varieties are locally given by monoid algebras. 1 Not necessarily normal toric varieties Fix a base field k. We start by recalling the definition of a fan. Let N ∼= Z be a ...