References: Symb. Comp.‚ 10:571–591‚ 1990. [4] F. Chyzak. An extension of Zeilberger’s fast algorithm to general holonomic functions. Discrete Mathematics‚ 217(1-3):115–134‚ 2000. [5] I. Gonzalez and V. Moll. Definite integrals by the method of brackets. Part 1. Adv. Appl. Math.‚ 45:50–73‚ 2010. [9] K. Kohl. Algorithmic methods for definite integration. PhD thesis‚ Tulane University‚ 2011
Premium Fourier transform Derivative
Several Variables Exam 2009 -2 - Question 1 Use the Tables of Laplace transforms‚ along with the operational theorems‚ to find the Laplace transform of the following functions: (a) t(t + cos t)e−3t (b) (c) t 0 e−u sinh 2u du 4 − 4e2t t [4+2+2=8 marks] Question 2 (a) Write f (t) = 2t + 3‚ 0 ≤ t < 9 in terms of Heaviside functions. Find the Laplace −2‚ t≥9 transform of the function. (b) Use Laplace transforms to determine the solution y(t) of the following initial-value problem y −
Premium Fourier transform Line
t. dt 2 C d 2i 5. Find‚ by double integration‚ the area of circle x2+y2 = a2. 6. Prove that curl grad φ = o . 7. State the sufficient conditions for a function f(z) to be analytic. 8. State Cauchy’s integral theorem. 9. Find the Laplace transform of unit step function at t = a. 10. Find L-1 [ s+3 ]. s + 4s + 13 2 1 PART – B (5 x 16 = 80 marks) 2 − 2⎞ ⎛ 7 ⎜ ⎟ 11.(a).(i). Verify Cayley-Hamilton theorem for the matrix A = ⎜ − 6 − 1 2 ⎟ . ⎜ 6 2 −1⎟ ⎝ ⎠ Hence find its inverse. (8)
Premium Trigraph Fourier transform Mathematics
Electronics and Communications Engineering Electronics and Communications Engineering LBYEC33 Feedback and Control Systems Laboratory Research Paper Section: EK2 Group Number: 5 Date Submitted: August 5‚ 2013 Submitted by: Professor: Dr. Aaron Don M. Africa 1. Abigail Cleo V. Tom 2. Hazel Mae M. Garcia Grade: _____________ Instructor’s Signature: ______________ Remarks:
Premium Impulse response Digital signal processing Control theory
abundant structure information of a molecule. Most molecules are infrared active except for several homonuclear diatomic molecules such as O2‚ N2 and Cl2 due to the zero dipole change in the vibration and rotation of these molecules Concept: Fourier transform spectroscopy is a less intuitive way to obtain the same information. Rather than shining a monochromatic beam of light at the sample‚ this technique shines a beam containing many frequencies of light at once‚ and measures how much of that beam
Premium Infrared spectroscopy Spectroscopy Electromagnetic radiation
THEORY 2.1 INTRODUCTION: The transform of a signal is just another form of representing the signal. It does not change the information content present in the signal. The Wavelet Transform provides a time-frequency representation of the signal. It was developed to overcome the short coming of the Short Time Fourier Transform (STFT)‚ which can also be used to analyze non-stationary signals. While STFT gives a constant resolution at all frequencies‚ the Wavelet Transform uses multi-resolution technique
Premium
286 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY‚ VOL. 20‚ NO. 2‚ FEBRUARY 2010 An Efficient Architecture for 3-D Discrete Wavelet Transform Anirban Das‚ Anindya Hazra‚ and Swapna Banerjee‚ Senior Member‚ IEEE Abstract—This paper presents an architecture of the liftingbased running 3-D discrete wavelet transform (DWT)‚ which is a powerful image and video compression algorithm. The proposed design is one of the first lifting based complete 3-DDWT architectures without group
Premium
First second order statistics‚ higher order statistics and multiresolution techniques such as wavelet transform. In this paper‚ we try to analysis and compare the performances of both statistical and structural approaches. Among the statistical features the first-order statistics and the secondorder statistics based features are considered. Twodimensional wavelet transform and Gabor transform are considered as structural features. This paper presents the evaluation of the effectiveness and efficiency
Premium Statistics Image processing Computer vision
JOMO KENYATTA UNIVERSITY OF AGRICULTURE AND TECHNOLOGY INSTITUTE OF COMPUTER SCIENCE AND INFORMATION TECHNOLOGY BSc COMPUTER TECHNOLOGY Literature Review On DIGITAL IMAGE CRYPTOSYSTEM WITH ADAPTIVE STEGANOGRAPHY NAME REG NO : JOHN NJENGA : CS 282-0782/2009 SUPERVISORS: DR. OKEYO MR. J WAINAINA 1 DECLARATION I declare that all materials presented here are my own original work‚ or fully and specifically acknowledged wherever adapted from other sources. The work has not been submitted previously
Premium Steganography Cryptography Grayscale
CBIR: Content Based Image Retrieval By Rami Al-Tayeche (237262) & Ahmed Khalil (296918) Supervisor: Professor Aysegul Cuhadar A report submitted in partial fulfillment of the requirements of 94.498 Engineering Project Department of Systems and Computer Engineering Faculty of Engineering Carleton University April 4‚ 2003 Abstract The purpose of this report is to describe our research and solution to the problem of designing a Content Based Image Retrieval‚ CBIR system. It
Premium Image processing Computer vision Color space