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FAMILIARIZATION OF SCIENTIFIC COMPUTING

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  OBJECTIVE ·    To familiarize different functions for scientific computing with examples   LEARNING OUTCOMES ·    After the completion of this experiment students will be able to execute small scripts using different arithmetic functions   SOFTWARE USED:                  MATLAB ® R2017a THEORY The different arithmetic functions of MATLAB are listed below. Y = abs( X ) returns the  absolute value  of each element in array X. If X is complex, abs(X) returns the  complex magnitude . abs - Absolute value and complex magnitude angle - Phase angle complex - Create complex array isreal - whether array is real real - Real part of complex number sinc – returns an array, y, whose elements are the  sinc  of the elements of the input, x. imag - Imaginary Part of Complex Number sin – Sine of argu...
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Coin Toss and Level crossing problem

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  OBJECTIVE To understand and explore random process simulation   LEARNING OUTCOMES After the completion of this experiment students will be able to Simulate random processes and their statistics   SOFTWARE USED:                  MATLAB ® R2017a 1. Simulate a coin toss that maps a head as 1 and tail as 0. 2. Toss the coin N = 100, 500,1000, 5000 and 500000 times and compute the probability (p) of head in each case. 3. Compute the absolute error |0.5 − p| in each case and plot against N and understand the law of large numbers. 4. Create a uniform random vector with maximum magnitude 10, plot and observe. 5. Set a threshold (VT = 2) and count how many times the random function has crossed VT . 6. Count how many times the function has gone above and below the threshold. PROGRAM   clc; clear all; close all; n=[10 100 500 1000 5000 10000 500000];   for...
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