This thesis presents Gabor frames for L2(T) and for the space of periodic sequences Cp , as being analogue to Fourier series and the discrete Fourier transform. Results from the standard theory of Gabor frames for L2(R) are transferred to the periodic setting. This includes results about sampling Gabor systems and existence of Gabor frames. The interrelation of Gabor frames for the continuous s...

In this work, we conduct a comparative study among the combine Laplace transform and modied Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integro-differential equations of the second kind. The nonlinear part of integro-differential is approximated by Adomian polynomials, and the equation is reduce...

We i nvestigate the optical phenomenon responsible for the colored shine that sometimes a ppears at the surface of ink layers i n t he s pecular direction, o ften ca lled bronzing or gloss di fferential. I t seems to co me from the w avelengthdependent refractive index of t he ink, which induces a wavelength-dependent reflectance of t he i nk-air interface. Our experiments o n c yan and magenta...

We introduce a new method for size and orientation normalization of unconstrained handwritten words based on the Hough transform. A modi ed Hough transform is applied to extremum points along the y coordinate to extract parallel lines corresponding to the boundary lines separating di erent vertical zones of the handwritten word. One dimensional Gaussian smoothing with variable variance is appli...

introduction in ct imaging, metallic implants inside the tissues cause metal artifact that reduce the quality of image for diagnosis. in order to reduce the effect of this artifact, a new method with more appropriate results has been presented in this research work. materials and methods the presented method comprised of following steps: a) image enhancement and metal areas extraction, b) sinog...

in this paper, the convergence of zakharov-kuznetsov (zk) equation by homo- topy analysis method (ham) is investigated. a theorem is proved to guarantee the conver- gence of ham and to nd the series solution of this equation via a reliable algorithm.

nano zno/ montmorillonite composite were prepared by sol gel method under ultrasonic irradiation from directly mixing montmorillonite nano clay into zinc gel. the zn(ch3coo)2.2h2o and montmorillonite nano clay was used as precursor. the zinc acetate was dissolved in di water and, nh3 (aq) solution was dropped into the zinc solution until ph 9 consequently the zinc gel was produced. the montmori...