The archetypal Savitzky–Golay convolutional filter matches a polynomial to even-spaced data and uses this to measure smoothed derivatives. We synthesize a scheme in which heterogeneous, anisotropic linearly separable basis functions combine to provide a general smoothing, derivative measurement and reconsruction function for point coulds in multiple dimensions using a linear operator in the for...

I will present the formalism one may use to study behavior of Ioffe-time distribution at large longitudinal distances and show that pseudo-PDF quasi-PDF are very different low-x. Using light-ray operators, also higher twist corrections come in not as inverse powers P but x B P.

In this paper we give some conditions such that there is an equivalence between probability measures and distribution functions defined on a separable linearly ordered topological space like it happens in the classical case. What more, prove one-to-one relationship measure pseudo-inverse of its cumulative function.

Magneto-rheological (MR) elastomers contain micro-/nano-sized ferromagnetic particles dispersed in a soft elastomer matrix, and their rheological properties (storage and loss moduli) exhibit a significant dependence on the application of a magnetic field (namely MR effect). Conversely, it is reported in this work that this multiphysics coupling is associated with an inverse effect (i.e. the dep...

One of the most important and fundamental discoveries of Theoretical Computer Science is the surprising connection between the computational power of randomness, and computational lower bounds on explicit functions. The currently strongest result of this form states [l] : Theorem 1 If EXP has no subexponentially small circuits then BPP had determinastic, pseudo-polynomial time algorithms. The k...

We prove that the associativity equations of two-dimensional topological quantum field theories are very natural reductions of the fundamental nonlinear equations of the theory of submanifolds in pseudo-Euclidean spaces and give a natural class of potential flat torsionless submanifolds. We show that all potential flat torsionless submanifolds in pseudo-Euclidean spaces bear natural structures ...

Abstract. Multivariate problems are typically governed by anisotropic features such as edges in images. A common bracket of most of the various directional representation systems which have been proposed to deliver sparse approximations of such features is the utilization of parabolic scaling. One prominent example is the shearlet system. Our objective in this paper is three-fold: We firstly de...

Neutral starch microspheres (NSMs) were synthesized by an inverse microemulsion technology with epichlorohydrin as a crosslinker and soluble starch as starting material. Anionic starch microspheres (ASMs) were prepared from NSMs by the secondary polymerization with chloroacetic acid as the anionic etherifying agent. Fourier transform infrared spectroscopy (FT-IR), scanning electron microscopy (...

In a wide range of applied problems of 2-D and 3-D imaging a continuous formulation of the problem places great emphasis on obtaining and manipulating the Fourier transform in Polar coordinates. However, the translation of continuum ideas into practical work with data sampled on a Cartesian grid is problematic. In this article we develop a fast high accuracy Polar FFT. For a given two-dimension...