The appearance in string theory of higher-dimensional objects known as Dbranes has been a source of much of the interesting developements in the subject during the past ten years. A very interesting phenomenon occurs when several of these D-branes are made to coincide: The abelian gauge theory living on each brane is enhanced to a non-abelian gauge theory living on the stack of coincident brane...

in this paper we introduce the notions of uniformly quasi-primary ideals and uniformly classical quasi-primary submodules that generalize the concepts of uniformly primary ideals and uniformly classical primary submodules; respectively. several characterizations of classical quasi-primary and uniformly classical quasi-primary submodules are given. then we investigate for a ring $r$, when any fi...

by a quasi-permutation matrix we mean a square matrix over the complex field c with non-negative integral trace. thus every permutation matrix over c is a quasipermutation matrix. for a given finite group g, let p(g) denote the minimal degree of a faithful permutation representation of g (or of a faithful representation of g by permutation matrices), let q(g) denote the minimal degree of a fait...

Setting of this paper is Bishop's constructive mathematics. For a relation σ on a set with apartness is called quasi-antiorder if it is consistent and cotransitive. The quasi-antiorder σ is complete if holds . 0 1 / = σ σ − ∩ In this paper the following assertion ‘A quasi-antiorder is the intersection of a collection of quasi-antiorders.’ is given.

Without monetary payments, the Gibbard-Satterthwaite theorem proves that under mild requirements all truthful social choice mechanisms must be dictatorships. When payments are allowed, the Vickrey-Clarke-Groves mechanism truthfully implements the value-maximizing choices, assuming agents’ utilities are quasi-linear in money. We study social choice with payments where utilities are non-quasi-lin...

Cosmic neutrinos provide a unique window into the otherwise hidden mechanism of particle acceleration in astrophysical objects. The IceCube Collaboration recently reported likely association one high-energy neutrino with flare from relativistic jet an active galaxy pointed towards Earth. However combined analysis many similar galaxies revealed no excess broader population, leaving vast majority...

We develop a theory of self-similar solutions to the critical surface quasi-geostrophic equations. construct for arbitrarily large data in various regularity classes and demonstrate, small regime, uniqueness global asymptotic stability. These are non-decaying as $|x| \to +\infty$, which leads ambiguity velocity $\vec{R}^\perp \theta$. This is corrected by imposing $m$-fold rotational symmetry. ...