‎Let $M^n$ be an $n(ngeq 3)$-dimensional complete connected and‎ ‎oriented spacelike hypersurface in a de Sitter space or an anti-de‎ ‎Sitter space‎, ‎$S$ and $K$ be the squared norm of the second‎ ‎fundamental form and Gauss-Kronecker curvature of $M^n$‎. ‎If $S$ or‎ ‎$K$ is constant‎, ‎nonzero and $M^n$ has two distinct principal‎ ‎curvatures one of which is simple‎, ‎we obtain some‎ ‎charact...

We consider Dirichlet eigenfunctions uλ of the Bunimovich stadium S, satisfying (∆− λ2)uλ = 0. Write S = R ∪W where R is the central rectangle and W denotes the “wings,” i.e. the two semicircular regions. It is a topic of current interest in quantum theory to know whether eigenfunctions can concentrate in R as λ → ∞. We obtain a lower bound Cλ on the L mass of uλ in W , assuming that uλ itself ...

Abstract We investigate the recovery of almost s-sparse vectors x ∈ C from undersampled and inaccurate data y = Ax + e ∈ C by means of minimizing ‖z‖1 subject to the equality constraints Az = y. If m s ln(N/s) and if Gaussian random matrices A ∈ Rm×N are used, this equality-constrained `1-minimization is known to be stable with respect to sparsity defects and robust with respect to measurement ...

Let Φ be an Orlicz function and L ( X , Σ μ ) $L^\Phi (X, \Sigma \mu )$ the corresponding space on a non-atomic, σ-finite, complete measure $(X,\Sigma ,\mu . We describe extreme points of unit ball spaces equipped with s-norm. also investigate closedness set ball. Our study generalizes unifies results that have been obtained for norm, Luxemburg norm p-Amemiya separately. further classify outer ...

In this work we have solved an open problem related to the continuity of R-implications. We have fully characterized the class of continuous R-implications obtained from any arbitrary t-norm. Using this result, we also determine the exact intersection between the continuous subsets of R-implications and (S,N)implications. Keywords— R-implication, (S,N)-implication, Łukasiewicz implication, t-norm.

We consider here estimation of an unknown probability density s belonging to L2(μ) where μ is a probability measure. We have at hand n i.i.d. observations with density s and use the squared L2-norm as our loss function. The purpose of this paper is to provide an abstract but completely general method for estimating s by model selection, allowing to handle arbitrary families of finite-dimensiona...

This paper considers the problem of recovering a group sparse signal matrix Y = [y1, · · · ,yL] from sparsely corrupted measurements M = [A(1)y1, · · · ,A(L)yL] + S, where A(i)’s are known sensing matrices and S is an unknown sparse error matrix. A robust group lasso (RGL) model is proposed to recover Y and S through simultaneously minimizing the l2,1-norm of Y and the l1-norm of S under the me...

We introduce the notion of interval-valued fuzzy bi-ideals with respect to t-norm T ∗ and s-norm S∗ and investigate some of the properties. Also, the homomorphism image and inverse image are investigated. Mathematics Subject Classification: 06F35, 03G25, 03E72

Semantic Web service studies are carried out around the OWL-S, however, OWL-S model does not contain the description of preferences and constraints when we choose and use them in different organizations, different cultures, different sectors and actors because of OWL capacity limitations in rules. It means that Semantic Web service composition can not compose users’ subjective services from the...