In this paper we studied the translation surfaces according to a new frame called q-frame in three dimensional Euclidean space. The curvatures of the translation surface are obtained in terms of q-frame curvatures. Finally some special cases are investigated for these surfaces.

Controlled frames in Hilbert spaces have been recently introduced by P. Balazs and etc. for improving the numerical efficiency of interactive algorithms for inverting the frame operator. In this paper we develop a theory based on g-fusion frames on Hilbert spaces, which provides exactly the frameworks not only to model new frames on Hilbert spaces but also for deriving robust operators. In part...

Deep Reinforcement Learning methods have achieved state of the art performance in learning control policies for the games in the Atari 2600 domain. One of the important parameters in the Arcade Learning Environment (ALE, [Bellemare et al., 2013]) is the frame skip rate. It decides the granularity at which agents can control game play. A frame skip value of k allows the agent to repeat a selecte...

| A novel middleware-based system providing eeective and eecient video access for mobile users communicating over low bandwidth error-prone wireless links is proposed. The middleware, implemented as mobile proxy server located at the mobile support station, is chosen for the seamless integration of mobile users and video servers by hiding the speciic details of the underlying system. For eecien...

In [1], Chandar et al studied a problem of sequential frame synchronization for a frame transmitted randomly and Uniformly in an interval of size A slots. For a discrete memoryless channel, they showed that the frame length N must scale as e > A for the frame detection error to go to zero (asymptotically with A). α(Q) is defined as the synchronization threshold for the discrete memory-less chan...

Motivated to generalize the Fourier frame concept Banach spaces we introduce (p, q)-Bessel/frame measures for a given finite measure on LCA groups. We also present general way of constructing measure. Moreover, prove that if has an associated q)-frame measure, then it must have certain uniformity in sense weight is distributed quite uniformly its support. Next, show μ and λ without atoms whose ...

Let A ⊂ L2(R) be at most countable, and p, q ∈ N. We characterize various frame-properties for Gabor systems of the form G(1, p/q,A)= {e2 g(x − np/q) : m, n ∈ Z, g ∈ A} in terms of the corresponding frame properties for the row vectors in the Zibulski–Zeevi matrix. This extends work by [Ron and Shen, Weyl–Heisenberg systems and Riesz bases in L2(R d). Duke Math. J. 89 (1997) 237–282], who consi...

We study a problem of sequential frame synchronization for a frame transmitted uniformly in A slots. For a discrete memoryless channel (DMC), Chandar et al showed in [1] that the frame length N must scale with A as e > A for the frame synchronization error to go to zero (asymptotically with A). Here, Q denotes the transition probabilities of the DMC and α(Q), defined as the synchronization thre...

ν = q · P M = E − E′ is the lepton’s energy loss in the nucleon rest frame (in earlier literature sometimes ν = q · P ). Here, E and E′ are the initial and final lepton energies in the nucleon rest frame. Q = −q2 = 2(EE′−−→k · −→k )−ml −m2l′ where ml(ml′) is the initial (final) lepton mass. If EE′ sin(θ/2) ≫ m2l , m2l′ , then ≈ 4EE′ sin(θ/2), where θ is the lepton’s scattering angle with respec...

in this paper a comprehensive approach is presented to improve power swings damping based on direct lyapunov method. the approach combines superconducting magnetic energy storage (smes) system with static synchronous compensator (statcom). considering the energy absorption/injection ability of smes, in transient states the combination exchanges both active and reactive powers with power system....