Abstract Let $$M_s^2$$ M s 2 be an orientable surface immersed in the De Sitter space $$\mathbb {S}_1^3\subset \mathbb {R}^4_1$$ S 1 3 ⊂ R ...

A goodness-of-fit test for one-parameter count distributions with finite second moment is proposed. The statistic derived from the $L_1$-distance of a function probability generating model under null hypothesis and that random variable actually data, when latter belongs to suitable wide class alternatives. has rather simple form it asymptotically normally distributed hypothesis, allowing straig...

Abstract A thin Lie algebra is a $L$ , graded over the positive integers, with its first homogeneous component $L_1$ of dimension two and generating such that each non-zero ideal lies between consecutive terms lower central series. All components have one or two, two-dimensional are called diamonds. Suppose second diamond (that is, next past ) occurs in degree $k$ . We prove if $k>5$ then $[...

Abstract In this paper, we show that Leavitt path algebras of weighted graphs and separated are intimately related. We prove any algebra $L(E,\omega )$ a row-finite vertex graph $(E,\omega is $*$ -isomorphic to the lower certain bipartite $(E(\omega ),C(\omega ))$ . For general locally finite $(E, \omega , quotient $L_1(E,\omega an upper another $(E(w)_1,C(w)^1)$ furthermore introduce ${L^{\mat...

Let $T$ and $S$ be commuting contractions on a Banach space $X$. The elements of $(I-T)(I-S)X$ are called {\it double coboundaries}, the $(I-T)X \cap (I-S)X$ joint cobundaries}. For $U$ $V$ unitary operators induced $L_2$ by invertible measure preserving transformations which generate an aperiodic $\mathbb Z^2$-action, we show that there coboundaries in not coboundaries. We prove if $\alpha$,$\...

The paper proposes and justifies a new algorithm of the proximal Newton type to solve broad class nonsmooth composite convex optimization problems without strong convexity assumptions. Based on advanced notions techniques variational analysis, we establish implementable results global convergence proposed as well its local with superlinear quadratic rates. For certain structured problems, obtai...

Recently, Abebe et al. (KDD 2018) and Chan (WWW 2019) have considered an opinion dynamics optimization problem that is based on a popular model for social dynamics, in which each agent has some fixed innate opinion, resistance measures the importance it places its opinion; moreover, agents influence one another’s opinions through iterative process. Under certain conditions, this process converg...

Abstract The possibility of generating some quantum correlations the entangled or separable initial two-qubit system interacting with a deformed cavity mode in presence dipole-dipole interaction is discussed. These are coherence, non-separability and steering degrees which quantifiers by using $$ l_1 l <mml:mn...

The channel estimation is one of important techniques to ensure reliable broadband signal transmission. Broadband channels are often modeled as a sparse channel. Comparing with traditional dense-assumption based linear channel estimation methods, e.g., least mean square/fourth (LMS/F) algorithm, exploiting sparse structure information can get extra performance gain. By introducing -norm penalty...