import numpy as np import scipy as sp import matplotlib.pyplot as plt import scipy.linalg as la import scipy.io as sio D = sio.loadmat("baseball_data.mat") # X represents the total number of wins per team X = D["X"].ravel() # Y represents the total payroll per team Y = D["Y"].ravel() # The number of rows of matrix A m=X.size #by sorting the value of X‚ I realized that the minimum value in X is 672 and the maximum is 956‚ so I made the plotting range for x-axis from 650 to 1000
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Algebra is one of the broad parts of mathematics‚ together with number theory‚ geometry and analysis. For historical reasons‚ the word "algebra" has several related meanings in mathematics‚ as a single word or with qualifiers. • As a single word without article‚ "algebra" names a broad part of mathematics (see below). • As a single word with article or in plural‚ "algebra" denotes a specific mathematical structure. See algebra (ring theory) and algebra over a field. • With a qualifier‚ there
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history of algebra goes way back in time (more than 4000 years . Algebra is a sub within mathematics‚ but for historical reasons‚ the word "algebra" has three meanings that can all suffice in defining the word or term . Algebra can mean use of letters and symbols to represent values and their relations‚ especially for solving equations‚major branch of mathematics which studies relations and operations or mathematical structure as a "linear" ring‚ is also called "algebra‚" or sometimes .algebra is one
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Introduction to Modern Algebra David Joyce Clark University Version 0.0.6‚ 3 Oct 2008 1 Copyright (C) 2008. 1 ii I dedicate this book to my friend and colleague Arthur Chou. Arthur encouraged me to write this book. I’m sorry that he did not live to see it finished. Contents 1 Introduction 1.1 Structures in Modern Algebra . . . . . . . . . . . . . . . . . . . . . . . . . 1.1.1 Operations on sets . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1.2 Fields . . . . .
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Applications of algebra in daily life What Is Algebra and Its Role in the Real World? Algebra is a field of mathematics. Usually‚ students in high school or elementary will be the first ones who will experience this subject. Most of them will say that it is probably one of the hardest and complicated subjects there is. Well‚ anything that is connected to Mathematics could really be. When someone will say the word Algebra out loud‚ numbers and equations will immediately pop into ones mind. What
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DIGITAL IMAGE PROCESSING (CREATIVE WORLD OF FACE MORPHING) BY ABSTRACT A study on face morphing is proposed.The algorithms explains the extra feature of points on face and based on these feature points‚ images are portioned and morphing is performed. The algorithms has been used to generate morphing between images of face of different people as well as between images of face of individuals. To do face morphing‚ feature points are usually specified manually
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The History of Algebra and The Golden Ratio in Nature By: Lauren Pressley Introduction to Statistics Throughout history algebra has changed in words through etymology. Etymology is an account of the history of a particular word or elements of a word. The word “algebra” is derived from Arabic writers. Algebra is a method for finding solutions of equations to the simplest possible form. Different cultures have come up with different types
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sense that there are many aspects of Algebra that the majority of people do not use on a daily basis. I think that this fact is what leads people to the false conclusion that Algebra is useless. To better understand our topic‚ let’s define what we mean when we say “Algebra”. Webster’s dictionary defines Algebra as “a form of mathematics dealing with symbols and equations.” A guest in the mathematics forum on xpmath.com states that “…the truth is that Algebra is not much more than arithmetic expanded
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Licensed to: iChapters User Structural Analysis THIRD EDITION Aslam Kassimali Southern Illinois University—Carbondale Australia Canada Mexico Singapore Spain United Kingdom United States Copyright 2005 Cengage Learning‚ Inc. All Rights Reserved. May not be copied‚ scanned‚ or duplicated‚ in whole or in part. Licensed to: iChapters User Structural Analysis‚ Third Edition by Aslam Kassimali Associate Vice-President and Editorial Director:
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the unit vector in the direction of Z-1where a = —i+j+k and b=2 i+j_3k (h) Find the Angle between the lines -3 -) A 5 r=2i+3j-4k +t i-2j+2k A A A (A A A —> r=3i-5fc + s 31-21+6k I 2. (a) Solve the following system of linear equations using Cramer’s Rule —> x+2y+3z=6 2x+4y+z=7 3x + 2y + 9z =14 (b) Construct a 2 x 2 matrix A= [aij]2 x 2 where each element is given by aij = BCS-012 2 1 (t 5 5 + 2j) 2 (c) Reduce the Matrix to Normal form by elementary operations
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