In this paper, we define and study the notion of the real-valued functions on a frame $L$. We show that $F(L) $, consisting of all frame homomorphisms from the power set of $mathbb{R}$ to a frame $ L$, is an $f$-ring, as a generalization of all functions from a set $X$ into $mathbb R$. Also, we show that $F(L) $ is isomorphic to a sub-$f$-ring of $mathcal{R}(L)$, the ring of real-valued continu...

Frames in Hilbert bimodules are a special case of frames in Hilbert C*-modules. The paper considers A-frames and B-frames and their relationship in a Hilbert A-B-imprimitivity bimodule. Also, it is given that every frame in Hilbert spaces or Hilbert C*-modules is a semi-tight frame. A relation between A-frames and K(H_B)-frames is obtained in a Hilbert A-B-imprimitivity bimodule. Moreover, the ...

abstract to resist lateral loads in concrete buildings, usually systems such as flexural frame, shear wall or their combinations are used. using x form of cable bracing in order to strengthen concrete buildings is a new method. this system is more economical compared with the other systems due to cables low weight, high tensile resistance, easy performance and less maintenance problems. in this...

in this paper the author considers a general method, based on time domain samples for spectral manipulation of time limited signals. first, the original signal is divided into some frames in the time domain. then, by presenting a suitable theoretical and computational algorithm, and using a method for improving the speed of convergence, we find the local bandwidth of each frame; thereby, each f...

A bstract Relaxing the Bondi gauge, solution space of three-dimensional gravity in metric formulation has been shown to contain an additional free function that promotes boundary a Lorentz or Carroll frame, asymptotically AdS flat spacetimes. We pursue this analysis and show also admits finite symplectic structure, obtained taking advantage built-in ambiguities. The smoothness limit structure s...

Abstract We examine various methods of constructing conserved quantities in the Teleparallel Equivalent General Relativity (TEGR). demonstrate that covariant formulation preferred method are Noether charges true invariant quantities. The depend on vector field $$\xi $$ ξ and we consider two different options ...

Extending and improving the concepts: woven frame and fusion frames, we introduce the notion of woven fusion frames in Hilbert spaces. We clarify our extension and generalization by some examples of woven frames and woven fusion frames. Also, we present some properties of woven fusion frames, especially we show that for given two woven frames of sequences, one can build woven fusion frames and ...

The category-theoretic nature of general frames for modal logic is explored. A new notion of “modal map” between frames is defined, generalizing the usual notion of bounded morphism/p-morphism. The category Fm of all frames and modal maps has reflective subcategories CHFm of compact Hausdorff frames, DFm of descriptive frames, and UEFm of ultrafilter enlargements of frames. All three subcategor...

The category-theoretic nature of general frames for modal logic is explored. A new notion of “modal map” between frames is defined, generalizing the usual notion of bounded morphism/p-morphism. The category Fm of all frames and modal maps has reflective subcategories CHFm of compact Hausdorff frames, DFm of descriptive frames, and UEFm of ultrafilter enlargements of frames. All three subcategor...

In order to improve the energy dissipation of the masonry infilled frame structure while decreasing the stiffening and strengthening effects of the infill panels, a new dry stacked panel (DSP) semi-interlocking masonry (SIM) infill panel has been developed. In this paper, the material properties of DSP and a traditional unreinforced masonry (URM) panel have been evaluated experimentally. A seri...