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.

It has been postulated that gravity is not only a physical vector providing or ganisms with a Spatial Reference Frame, but that it may also be utilised to provide a Temporal Reference Frame, thereby acting as a synchroniser. The mechanism inherent in this is traced to the Arousal I system of Routtenberg's Two Arousal Hypothesis. Consequently it is deduced that there may be no single centre for ...

We propose a novel adaptive pipeline for continuous collision detection in cloth simulation. The pipeline consists of four components: bounding volume hierarchy (BVH) update, BVH traversal, a skipping frame session, and elementary test processing. The skipping frame session is activated adaptively for skipping both BVH update and BVH traversal during the process of collision detection. The prop...

Let $L$ be a completely regular frame and $mathcal{R}L$ be the ‎ring of continuous real-valued functions on $L$‎. ‎We show that the‎ ‎lattice $Zid(mathcal{R}L)$ of $z$-ideals of $mathcal{R}L$ is a‎ ‎normal coherent Yosida frame‎, ‎which extends the corresponding $C(X)$‎ ‎result of Mart'{i}nez and Zenk‎. ‎This we do by exhibiting‎ ‎$Zid(mathcal{R}L)$ as a quotient of $Rad(mathcal{R}L)$‎, ‎the‎ ‎...

This paper addresses the problem of measuring frame latency in ATM switches. The frames consisting of several ATM cells may arrive with numerous gaps between cells. It is important that the gaps present in the input stream be not counted towards the switch's contribution to the frame delay. The proposed solution called "MIMO" (Message-In Message-Out) latency improves upon other latency metrics ...

We present a simple direct approach for solving the ICA problem, using density estimation and maximum likelihood. Given a candidate orthogonal frame, we model each of the coordinates using a semi-parametric density estimate based on cubic splines. Since our estimates have two continuous derivatives , we can easily run a second order search for the frame parameters. Our method performs very favo...

Curves in space are diicult to perceive and analyze, especially when they form dense sets as in typical 3D ow and volume deformation applications. We propose a technique that exposes essential properties of space curves by attaching an appropriate moving coordinate frame to each point, reexpressing that moving frame as a unit quaternion, and supporting interaction with the resulting quaternion ...

There is an inherent need for autonomous cars, drones, and other robots to have a notion of how their environment behaves and to anticipate changes in the near future. In this work, we focus on anticipating future appearance given the current frame of a video. Existing work focuses on either predicting the future appearance as the next frame of a video, or predicting future motion as optical fl...

We introduce almost diagonal matrices in the setting of (anisotropic) discrete homogeneous Triebel-Lizorkin type spaces and modulation spaces, it is shown that class closed under matrix multiplication. then connect results to continuous show “change frame” for a pair time-frequency frames, with suitable decay properties, diagonal. As an application this result, we consider construction compactl...