We describe the large scale geometry of the mapping class group and of the pants graph (or equivalently the Teichmüller space in the Weil-Petersson metric) of a compact orientable surface, from the point of view of coarse median spaces. We derive various results about coarse rank and quasi-isometric rigidity of such spaces. In particular, we show that a quasi-isometric embedding of a mapping cl...

Thus φ is bi-Lipschitz on large scales. If there exists a constant C ′ such that every point of Y is within a distance C′ of a point of φ(X), then there is a quasi-isometric embedding ψ : Y → X which is a “coarse inverse of φ”, i.e. supx∈X dX(x, ψ(φ(x))) <∞ and supy∈Y dY (y, φ(ψ(y))) < ∞. In this case φ is called a quasi-isometry and the spaces X and Y are said to be quasi-isometric. A basic ex...

in this paper, the numerical technique based on hybrid bernoulli and block-pulse functions has been developed to approximate the solution of system of linear volterra integral equations. system of volterra integral equations arose in many physical problems such as elastodynamic, quasi-static visco-elasticity and magneto-electro-elastic dynamic problems. these functions are formed by the hybridi...

The purpose of this article was to establish manifold versions existence theorems for generalized vector quasi-equilibrium problems in locally compact and σ-compact spaces without any continuity assumption. fixed-point theorem a product Hadamard is the key focus our discussion. We further applied saddle point minimax problems.

In this paper a Frequency Selective Surface (FSS) as a UWB electromagnetic shield is introduced. The proposed FSS comprises a quasi-J.C-Jerusalem Cross- and a copper ring, which are located at both sides of a FR4 substrate and can represent a S.E -Shielding Effectiveness- better than 20dB in 90% bandwidth of Ultra Wide Band frequency. This structure is compact and thin. Each cell comprises J.C ...

We prove the equivalence between some intuitionistic theorems and the conjunction of a continuity principle and a compactness principle over Bishop’s Constructive Mathematics within the programme of Constructive Reverse Mathematics. To clarify our line of thought, we first point out the relation between quasi-equicontinuity, quasi-uniform convergence, and the continuity principle saying that th...