Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fr'echet frames under perturbation. Also we show that for any Fr'echet spaces, there is a Fr'echet frame and any element in these spaces  has a series expansion.

In this paper we get some results and applications for duals and approximate duals of g-frames in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals.

in this paper, efforts are made to compare the safety of steel moment resistant frames designed according to different editions of the iranian code of practice for seismic resistant design of buildings. also, failure risk of a low and medium height frame which designed for high and low seismicity regions according to three editions of the code are evaluated. first, the testing cases were design...

this paper is a continuation of [uniformities and covering properties for partial frames (i)], in which we make use of the notion of a partial frame, which is a meet-semilattice in which certain designated subsets are required to have joins, and finite meets distribute over these. after presenting there our axiomatization of partial frames, which we call $sels$-frames, we added structure, in th...

in this paper a discrete big bang-big crunch algorithm is applied to optimal design of reinforced concrete planar frames under the gravity and lateral loads. optimization is based on aci 318-08 code. columns are assumed to resist axial loads and bending moments, while beams resist only bending moments. second-order effects are also considered for the compression members, and columns are checked...

in this paper we get some results and applications for duals and approximate duals of g-frames in hilbert spaces. in particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of hilbert spaces. we also obtain some results for perturbations of approximate duals.

a study on the evaluating equivalent damping and response modification factors of frames equipped by pall friction dampers is presented. to do so, buildings with various stories were considered. nonlinear and linear dynamic time history analysis has been performed to evaluate equivalent damping for pall friction dampers. ground motions with various frequency characteristics scaled with iranian ...

Video abstraction allows searching, browsing and evaluating videos only by accessing the useful contents. Most of the studies are using pixel domain, which requires the decoding process and needs more time and process consuming than compressed domain video abstraction. In this paper, we present a new video abstraction method in H.264/AVC compressed domain, AVAIF. The method is based on the norm...