Q. Does the Lorentz transformation reduce to the Galilean transformation when the ratio v /c is small? A. No. At least two routes are available to substantiate the negative response. I will first give a direct, algebraic route and then a more sophisticated indirect route. Consider the usual pair of inertial reference frames, the primed frame moving with speed v along the x axis of the unprimed ...

The NNR-NUVEL-1A model, as an international standard model of the International Terrestrial Reference Frame (ITRF), should be an accurate and rigorous enough no net rotation (NNR) model. In this paper, the new inertial Q-tensor of global plates is accurately calculated with a new method, and further the total angular momentum of global plates is obtained. The result shows that the reference fra...

Streamline patterns and their local and global bifurcations in a two-dimensional peristaltic flow for an incompressible Newtonian fluid have been investigated. An analytical solution for the stream-function is found under a long-wavelength and low-Reynolds number approximation. The problem is solved in a moving coordinate system where a system of nonlinear autonomous differential equations can ...

This paper presents a procedure developed to extract quantitative motion information from video recordings of neonatal seizures in the form of temporal motion strength signals. Temporal motion strength signals are obtained from a sequence of video frames by measuring the displacement areas of the infants’ moving body part(s) from frame to frame of the video sequence. The proposed motion segment...

We study conditions on a Banach frame that ensures the validity of a reconstruction formula. In particular, we show that any Banach frames for (a subspace of) Lp or Lp,q (1 ≤ p <∞) with respect to a solid sequence space always satisfies an unconditional reconstruction formula. The existence of reconstruction formulae allows us to prove some James-type results for atomic decompositions: an uncon...

We consider the generalized Lorentz space L ;q dened via a continuous and concave function Fourier series of with respect to an unbounded orthonormal system. Some new Jackson-Nikol'skii type inequalities in this frame are stated, proved discussed. In particular, derived results generalize unify several well-known but also some applications pointed out.

This paper studies the problem of sequence-to-sequence alignment, namely establishing correspondences in time and in space between two di erent video sequences of the same dynamic scene. The sequences are recorded by uncalibrated video cameras, which are either stationary or jointly moving, with xed (but unknown) internal parameters and relative inter-camera external parameters. Temporal variat...

We have carried out a study of the luminosity function (henceforth LF) of galaxies in the region of the HDF-North using our very complete redshift catalog. We divide the sample into five redshift bins covering the range 0.01 < z < 1.5 and consider three primary galaxy spectral classes. We solve for the LF at four rest frame wavelengths from 0.24 to 2.2μ. We find that the LFs for quiescent galax...

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.