In this paper, we will provide a simple method for starting with a given finite frame for an $n$-dimensional Hilbert space $mathcal{H}_n$ with nonzero elements and producing a frame which is $epsilon$-nearly Parseval and $epsilon$-nearly unit norm. Also, the concept of the $epsilon$-nearly equal frame operators for two given frames is presented. Moreover, we characterize all bounded invertible ...

This paper illustrates the results of an experimental campaign performed on a scale prototype base dissipator called Mini Tribological ROCKing Seismic Isolation Device. device allows smooth, controlled and damped rocking by means frictional layers viscous elastic springs, which aim at decoupling frequencies superstructure, dissipating energy during motion re-centering system once external actio...

Protection of computer systems and networks against malicious attacks is particularly important in industrial networked control systems. A successful cyber-attack may cause significant economic losses or even destruction controlled processes. Therefore, it necessary to test the vulnerability process possible cyber-attacks. Three approaches employing Generative Adversarial Networks (GANs) genera...

in this paper, we show that in each nite dimensional hilbert space, a frame of subspaces is an ultra bessel sequence of subspaces. we also show that every frame of subspaces in a nite dimensional hilbert space has frameness bound.

The notion of $k$-frames was recently introduced by Gu avruc ta in Hilbert  spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous super positions. In this manuscript, we construct a continuous $k$-frame, so called c$k$-frame along with an atomic system ...

The present studies examine the persuasive effects of tailored health messages comparing those tailored to match (vs. not match) both chronic cultural frame and momentarily salient cultural frame. Evidence from two studies (Study 1 n = 72 European Americans, Study 2 n = 48 Asian Americans) supports the hypothesis that message persuasiveness increases when chronic cultural frame, health message ...

This study proposes a novel concept of actuator-driven frame-by-frame intermittent tracking for motion-blur-free video shooting of fast-moving objects. The camera frame and shutter timings are controlled for motion blur reduction in synchronization with a free-vibration-type actuator vibrating with a large amplitude at hundreds of hertz so that motion blur can be significantly reduced in free-v...

finite affine groups are given by groups of translations and di-lations on finite cyclic groups. for cyclic groups of prime orderwe develop a time-scale (wavelet) analysis and show that for alarge class of non-zero window signals/vectors, the generatedfull cyclic wavelet system constitutes a frame whose canonicaldual is a cyclic wavelet frame.