We study the class of first-countable Lindel\"of scattered spaces, or "FLS" spaces. While every $T_3$ FLS space is homeomorphic to a subspace $\mathbb Q$, $T_2$ spaces turns out be surprisingly rich. Our investigation these reveals close ties $Q$-sets, Lusin sets, and their relatives, cardinals $\mathfrak{b}$ $\mathfrak{d}$. Many natural questions about turn independent $\mathsf{ZFC}$. prove th...

Quantifying T2 and T ∗ 2 relaxation times from MRI becomes a standard tool to assess modifications of biological tissues over time or differences between populations. However, due to the relationship between the relaxation time and the associated MR signals such an analysis is subject to error. In this work, we provide a Bayesian analysis of this relationship. More specifically, we build poster...

The orbit of the outer satellite Alexhelios (216) Kleopatra is already constrained by adaptive-optics astrometry, obtained with VLT/SPHERE instrument. However, there also a preceding occultation event in 1980 attributed to this satellite. Hereinafter, we try link all observations, spanning 1980--2018. We find nominal exhibits an unexplained shift $+60^\circ$ true longitude. Using both periodogr...

We consider solutions of the matrix KP hierarchy that are elliptic functions first hierarchical time $t_1=x$. It is known poles $x_i$ and residues at $\rho_i^{\alpha \beta}=a_i^{\alpha}b_i^{\beta}$ such as $t_2$ move particles spin generalization Calogero-Moser model (elliptic Gibbons-Hermsen model). In this paper we establish correspondence with for whole hierarchy. Namely, show dynamics respe...

Let $ G = (V, E) be a finite simple connected graph. We say graph realizes code of the type 0^{s_1}1^{t_1}0^{s_2}1^{t_2}\cdots0^{s_k}1^{t_k} if and only can obtained from by some rule. Some classes graphs such as threshold chain mentioned above. The main objective this research article is to develop computationally feasible methods determine interesting theoretical invariants. present an effici...

We study the time-fluctuating magnetic gradient noise mechanisms in pairs of Si/SiGe quantum dots using exchange echo spectroscopy. find through a combination spectral inversion and correspondence to theoretical modeling that quadrupolar precession $^{73}$Ge nuclei play key role spin-echo decay time $T_2$, with characteristic dependence on field width Si well. The peaks appear at fundamental fi...

‎a ring $r$ is strongly clean provided that every element‎ ‎in $r$ is the sum of an idempotent and a unit that commutate‎. ‎let‎ ‎$t_n(r,sigma)$ be the skew triangular matrix ring over a local‎ ‎ring $r$ where $sigma$ is an endomorphism of $r$‎. ‎we show that‎ ‎$t_2(r,sigma)$ is strongly clean if and only if for any $ain‎ ‎1+j(r)‎, ‎bin j(r)$‎, ‎$l_a-r_{sigma(b)}‎: ‎rto r$ is surjective‎. ‎furt...

Sequence converges is an important research object in topology and analysis, since it closely related to continuity, compactness other properties. In this article, we use the notion of regularly convergence, which a generalization convergence notion, define sequentially closed sets operator sequential closure; then consider thier charactarizations prove that are coincide regular spaces. Finally...

‎A ring $R$ is strongly clean provided that every element‎ ‎in $R$ is the sum of an idempotent and a unit that commutate‎. ‎Let‎ ‎$T_n(R,sigma)$ be the skew triangular matrix ring over a local‎ ‎ring $R$ where $sigma$ is an endomorphism of $R$‎. ‎We show that‎ ‎$T_2(R,sigma)$ is strongly clean if and only if for any $ain‎ ‎1+J(R)‎, ‎bin J(R)$‎, ‎$l_a-r_{sigma(b)}‎: ‎Rto R$ is surjective‎. ‎Furt...