Institute Of Engineering Studies (IES‚Bangalore) Formulae Sheet in ECE/TCE Department Communication Systems Amplitude Modulation : DSB-SC : u (t) = m(t) cos 2π t Power P = Conventioanal AM : u (t) = [1 + m(t)] Cos 2π t . as long as |m(t)| ≤ 1 demodulation is simple . Practically m(t) = a m (t) . () () Modulation index a = ( ) ‚ m (t) = | ( )| Power = + SSB-AM : → Square law Detector SNR = () Square law modulator ↓ = 2a / a → amplitude Sensitivity Envelope Detector R C (i/p) < < 1 / ≥ Frequency
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Math in Business Applications of Matrices in Business 15-0109 María Amelia Jiménez Mathematics I CGM140 Due date: Friday 19th‚ 2014 Universidad Iberoamericana (UNIBE) Applications of Matrices in Business It happens often that students question the concepts that are required for them to learn. They usually say "How is this going to help me in the future?" or "Will I seriously use this in my life?" and that ’s because they don ’t know the applications of those subjects
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Linear Application and Hill Cipher. Cryptography has played an important role in information and communication security for thousand years. It was first invented due to the need to maintain the secrecy of information transmitted over public lines. The word cryptography came from the Greek words kryptos and graphein‚ which respectively mean hidden and writing (Damico). Since the ancient days‚ many forms of cryptography have been created. And in 1929‚ Lester S. Hill‚ an American mathematician and
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Definite Integrals‚ Improper Integrals • • Applications to Engineering Systems Introduction to Ordinary Differential Equations (ODE) and Partial Differential Equations (PDE) PART THREE • • • Properties and Evaluation of Matrices Introduction to Symmetric and Skew-symmetric Matrices Simple simultaneous Linear Equations 1 PART I DIFFERENTIATION 1.0 1.1 Maxima and Minima‚ Tangents and Normals Gradients: The gradient of a straight line is the rate of change of y with x and is measured by
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SUFFICIENT DIMENSION REDUCTION BASED ON NORMAL AND WISHART INVERSE MODELS A THESIS SUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY LILIANA FORZANI IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY R. DENNIS COOK‚ Advisor December‚ 2007 c Liliana Forzani 2007 UNIVERSITY OF MINNESOTA This is to certify that I have examined this copy of a doctoral thesis by Liliana Forzani and have found that it is complete
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SCI102 Tutorial Week 3 Answers Equations in Matrix form 1. -13-22xy= 910 A= -13-22‚ X=xy and B=910 AX = B X = A-1B |A| = - 2 – (-6) = 4 A-1 = 14 2-32-1 and X= 14 2-32-1910=14 18-3018-10 x = -12/4 and y = 8/4 x = - 3 and y = 2 2. A= 24-12‚ X=xy and B=06 AX = B X = A-1B |A| = 4 – (- 4) = 8 A-1 = 18 2-412 and X= 18 2-41206=18 0-240+12 x = -24/8 and y = 12/8 x
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Matrices Used In Computer Graphics Every one of us uses matrices nearly everyday in our lives and probably unaware of it. Matrices are commonly used in computers for their 3D graphics. Most of the matrices that are used are either 3x3 or 4x4 matrices and are computed by either rotation matrices or translation matrices. The matrices that are used are an array that holds numbers‚ commonly called a 3x3 array or 4x4 array. Or Examples of 3x3 and 4x4 matrices. The reason that matrices are used is
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Math Magic – Matrices Page 1 Working With Matrices: A. Number Sense only deals with small matrices‚ usually 2 x 2 matrices. This page will look at 3 ways of manipulating matrices: Multiplying Matrices‚ Inverses‚ and Determinants. B. Multiplying Matrices 1. Unlike general multiplication‚ matrix multiplication is not commutative. Multiplying A x B and B x A will give different results. 2. The following will show how to multiply two 2x2 matrices: a. In other words‚ you multiply the row of
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Mini review- Whole cell immobilization matrices Introduction The development of immobilization technique has offered sustainability and a better‚ greener approach in the production of metabolites for bioprocess in several industries. Examples of application of immobilization include wastewater treatment‚ as well as various applications in the drug and pharmaceutical industry3‚8. Cell entrapment is one of the most common immobilization techniques used‚ whereby a porous polymeric matrix encloses
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Internal | * Strenghts1/ partner with big companies (Mac Donalds)2/ Excellent strategy3/ Diversified production lines4/ Unique taste5/ World’s leading brand | * Weaknesses1/ Product not healthy2/ The target group of the CC company are mainly younger people.3/ Taste differentiation4/ Sluggish performance in North America5/ lack of popularity of many Coca Cola’s brands | External | * Opportunities1/ advertise it’s less popular products2/ Acquisitions3/ buy out competition4/ It can to provide
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