Least Squares
17 сент. 2013 г. The MAtlAB function polyfit computes least squares polynomial fits by setting up the design matrix and using backslash to find the ...
Magic Squares
2 окт. 2011 г. Write a MAtlAB function ismagic(A) that checks if A is a magic square. 10.2 Magic sum. Show that. 1 n n2. ∑ k=1 k = n3 + n. 2 . 10.3 durerperm ...
Some important Built-in function in MATLAB 1. Square root b=sqrt(x
14 мар. 2020 г. Some important Built-in function in MATLAB. 1. Square root b=sqrt(x) b=sqrt(4). 2. 2. Remainder of dividing x/y a=rem(xy) a=rem(10
Objective 1 Triangular Wave 2 Square Wave 3 Discrete Time
2 Square Wave. MATLAB has a built-in function square to generate a periodic square waveform. Following example will help you draw such a waveform. 2.1
- 1 - Some MATLAB Built-in Functions Function Description sqrt(x
Some MATLAB Built-in Functions. Function. Description sqrt(x). Square root of x nthroot(xn) nth root of x abs(x). Absolute value of x exp(x). Exponential (ex).
Eigenvalues and Singular Values
16 сент. 2013 г. The Matlab function condeig computes eigenvalue condition numbers. ... The qr function in Matlab factors any matrix real or complex
Quadrature
area—plot the function on graph paper and count the number of little squares that The function functions in Matlab itself usually expect the first argument to.
Iteration
2 окт. 2011 г. Matlab responds with x = 3. Next enter this statement x = sqrt(1 + x). The abbreviation sqrt is the Matlab name for the square root function.
Total Least Squares Approach to Modeling: A Matlab Toolbox
In this section we show some applications of the TLS method in static and dynamical modeling by using the created Matlab functions [14]. 3.1 Linear regression
Implementing the 2D square lattice Boltzmann method in Matlab
23 февр. 2023 г. In contrast to LGA. LBM deals with distribution function values instead of single particles. The exact denomination for the following described ...
General Linear Least-Squares and Nonlinear Regression
Applied Numerical Methods with MATLAB for Engineers Chapter 15 & Teaching The least-squares ... function that returns the sum of the squares of the.
Objective 1 Triangular Wave 2 Square Wave 3 Discrete Time
MATLAB has a built-in function sawtooth to generate a periodic triangular waveform. Following example will help you draw such a waveform. 1.1 Example. Generate
Magic Squares
2011?10?2? An n-by-n magic square is an array containing the integers from 1 to n2 ... squares of order n but the MAtlAB function magic(n) generates a ...
Least Squares
2013?9?17? The MAtlAB function polyfit computes least squares polynomial fits by setting up the design matrix and using backslash to find the ...
Some important Built-in function in MATLAB 1. Square root b=sqrt(x
2020?3?14? Some important Built-in function in MATLAB. 1. Square root b=sqrt(x) b=sqrt(4). 2. 2. Remainder of dividing x/y a=rem(xy) a=rem(10
Eigenvalues and Singular Values
2013?9?16? A singular value and pair of singular vectors of a square or ... qr function in Matlab factors any matrix real or complex
Iteration
2011?10?2? The abbreviation sqrt is the Matlab name for the square root function. The quantity on the right. /. 1 + x
DEPARTMENTS OF MATHEMATICS
1999?1?4? MAtlAB has included since at least version 3 a function sqrtm for computing a square root of a matrix. The function works by reducing the ...
INTRODUCTION TO MATLAB FOR ENGINEERING STUDENTS
The function diary is useful if you want to save a complete MATLAB session. of vectors in MATLAB are enclosed by square brackets and are separated by ...
Total Least Squares Approach to Modeling: A Matlab Toolbox
In this section we show some applications of the TLS method in static and dynamical modeling by using the created Matlab functions [14]. 3.1 Linear regression
MATLAB Basic Functions Reference - MathWorks
Tasks represent a series of MATLAB commands To see the commands that the task runs show the generated code Common tasks available from the Live Editor tab on the desktop toolstrip: • Clean Missing Data • Clean Outlier • Find Change Points • Find Local Extrema • Remove Trends • Smooth Data mathworks com/help/matlab
Chapter 10 Magic Squares - MathWorks
Ann-by-nmagic square is an array containing the integers from 1 ton2arranged so that each of the rows each of the columns and the two principaldiagonals have the same sum For eachn >2 there are many di?erent magicsquares of ordern but theMatlabfunctionmagic(n)generates a particular one Matlabcan generate Lo Shu with = magic(3) which produces
MATLAB Function Example Handout - University of Wyoming
ical function libraries The Matlab Optimization and Curve Fitting Toolboxes include functions for one-norm and in?nity-norm problems We will limit ourselves to least squares in this book 5 3 censusgui The NCM program censusgui involves several di?erent linear models The data
Chapter 1 Iteration - MathWorks
In Matlab and most other programming languages the equals sign is the assignment operator It says compute the value on the right and store it in the variable on the left So the statement x = sqrt(1 + x) takes the current value of x computes sqrt(1 + x) and stores the result back in x
Functions and Scripts - Electrical Engineering and Computer
Many functions are programmed inside MATLAB as built-in functions and can be used in mathematical expressions simply by typing their name with an argument; examples are sin(x) cos(x) sqrt(x) and exp(x) MATLAB has a plethora of built-in functions for mathematical and scientific computations
Chapter 1 Introduction to MATLAB - MathWorks
MATLAB An introduction to MATLAB through a collection of mathematical and com-putational projects is provided by Moler’s free online Experiments with MATLAB [6] A list of over 1500 Matlab-based books by other authors and publishers in several languages is available at [12] Three introductions to Matlab are of par-
MATLAB Getting Started Guide - Massachusetts Institute of
The load function reads binary files containing matrices generated by earlier MATLAB sessions or reads text files containing numeric data The text file should be organized as a rectangular table of numbers separated by blanks with one row per line and an equal number of elements in each row
MATLAB Function Tips - Michigan State University
function [xsqrd xcubd] = square(x) xsqrd = x^2 xcubd = x^3 There are two possible places to position this code If you are using MATLAB 5 0 or later this function code can be placed at the end of the main program in the same file as the main program It could also be placed in its own file which must use the function name or for our example
Matlab Introduction - California State University Long Beach
The batch commands in a file are then executed by typing the name of the file at the Matlab command prompt The advantage to using a ' m' file is that you can make small changes to your code (even in different Matlab sessions) without having to remember and retype the entire set of commands
6057 Introduction to MATLAB Homework 2 - MIT OpenCourseWare
Use magenta square symbols of marker size 10 and line width 4 and no line connecting them You may have to change the x limits to see all 6 symbols (xlim) If the relationship really is exponential it will look linear on a log plot 2 Subplot and axis modes Make a new Square Tight 100 100 200 figure that has a 2x2 grid of axes () subplot 200
MATLAB Commands and Functions - College of Science and
MATLAB Commands – 11 M-Files eval Interpret strings containing Matlab expressions feval Function evaluation function Creates a user-defined function M-file global Define global variables nargin Number of function input arguments nargout Number of function output arguments script Script M-files Timing cputime CPU time in seconds
Searches related to function square matlab filetype:pdf
MATLAB is installed on the engineering instructional facility You can find it in the Start>Programs menu You can also install MATLAB on your own computer This is a somewhat involved process –you need to first register your name at mathworks then wait until they create an account for you there then download MATLAB and activate it
What are the functions of MATLAB?
- MATLAB Function Example Handout. MatLab is a high performance numeric computing environment, which includes numerical analysis, matrix computation, signal processing, and graphics to provide answers to the most troubling of mathematical problems. This handout provides different examples to show the different aspects of MatLab.
How to generate unit step function in MATLAB?
- function [x]=unitstep (x) %This is a unit step "function". The vector keeping track of time is the %input. If time is negative then a zero is returned. If time is zero than %0.5 is returned.
How to generate square wave in MATLAB?
- Square wave is generated using “square” function in Matlab. The command sytax – square (t,dutyCycle) – generates a square wave with period for the given time base. The command behaves similar to “ sin ” command (used for generating sine waves), but in this case it generates a square wave instead of a sine wave.
Chapter 10
Magic Squares
With origins in centuries old recreational mathematics, magic squares demonstrateMatlabarray operations.
Figure 10.1.Lo Shu. (Thanks to Byerly Wiser Cline.) Magic squares predate recorded history. An ancient Chinese legend tells of a turtle emerging from the Lo river during a flood. The turtle's shell showed a very unusual pattern - a three-by-three grid containing various numbers of spots. OfCopyright
c⃝2011 Cleve MolerMatlab
R⃝is a registered trademark of MathWorks, Inc.TMOctober 2, 2011
12Chapter 10. Magic Squares
course, we do not have any eye-witness accounts, so we can only imagine that the turtle looked like figure 10.1. Each of the three rows, the three columns, and the two diagonals contain a total of 15 spots. References to Lo Shu and the Lo Shu numerical pattern occur throughout Chinese history. Today, it is the mathematical basis forFeng Shui, the philosophy of balance and harmony in our surroundings and lives. Ann-by-nmagic square is an array containing the integers from 1 ton2, arranged so that each of the rows, each of the columns, and the two principal diagonals have the same sum. For eachn >2, there are many different magic squares of ordern, but theMatlabfunctionmagic(n)generates a particular one.Matlabcan generate Lo Shu with
A = magic(3)
which produces A = 8 1 6 3 5 7 4 9 2The command
sum(A) sums the elements in each column to produce15 15 15
The command
sum(A')' transposes the matrix, sums the columns of the transpose, and then transposes the results to produce the row sums 15 15 15The command
sum(diag(A)) sums the main diagonal of A, which runs from upper left to lower right, to produce 15 The opposite diagonal, which runs from upper right to lower left, is less important in linear algebra, so finding its sum is a little trickier. One way to do it makes use of the function that "flips" a matrix "upside-down." 3 sum(diag(flipud(A))) produces 15 This verifies thatAhas equal row, column, and diagonal sums.Why is the magic sum equal to 15? The command
sum(1:9) tells us that the sum of the integers from1to9is45. If these integers are allocated to 3 columns with equal sums, that sum must be sum(1:9)/3 which is15. There are eight possible ways to place a transparency on an overhead projec- tor. Similarly, there are eight magic squares of order three that are rotations and reflections ofA. The statements for k = 0:3 rot90(A,k) rot90(A',k) end display all eight of them.8 1 68 3 4
3 5 71 5 9
4 9 26 7 2
6 7 24 9 2
1 5 93 5 7
8 3 48 1 6
2 9 42 7 6
7 5 39 5 1
6 1 84 3 8
4 3 86 1 8
9 5 17 5 3
2 7 62 9 4
These are all the magic squares of order three. The 5 is always in the center, the other odd numbers are always in the centers of the edges, and the even numbers are always in the corners. Melancholia I is a famous Renaissance engraving by the German artist and amateur mathematician Albrecht D¨urer. It shows many mathematical objects, in- cluding a sphere, a truncated rhombohedron, and, in the upper right hand corner, a magic square of order 4. You can see the engraving in our figure 10.2. Better yet, issue theseMatlabcommands4Chapter 10. Magic Squares
Figure 10.2.Albrect Durer's Melancolia, 1514.
load durer whosYou will see
X648x5092638656 double array
caption2x28112 char array map128x33072 double array The elements of the arrayXare indices into the gray-scale color map namedmap.The image is displayed with
image(X) colormap(map) axis image Click the magnifying glass with a "+" in the toolbar and use the mouse to zoom in on the magic square in the upper right-hand corner. The scanning resolution becomes evident as you zoom in. The commands load detail 5Figure 10.3.Detail from Melancolia.
image(X) colormap(map) axis image display the higher resolution scan of the area around the magic square that we have in figure 10.3.The command
A = magic(4)
produces a 4-by-4 magic square. A =16 2 3 13
5 11 10 8
9 7 6 12
4 14 15 1
The commands
sum(A), sum(A'), sum(diag(A)), sum(diag(flipud(A))) yield enough34's to verify thatAis indeed a magic square. The 4-by-4 magic square generated byMatlabis not the same as D¨urer's magic square. We need to interchange the second and third columns.A = A(:,[1 3 2 4])
6Chapter 10. Magic Squares
changesAto A =16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
Interchanging columns does not change the column sums or the row sums. It usually changes the diagonal sums, but in this case both diagonal sums are still 34. So now our magic square matches the one in D¨urer's etching. D¨urer probably chose this particular 4-by-4 square because the date he did the work, 1514, occurs in the middle of the bottom row. The programdurerperminterchanges rows and columns in the image produced fromdetailby interchanging groups of rows and columns in the arrayX. This is not especially important or useful, but it provides an interesting exercise. We have seen two different 4-by-4 magic squares. It turns out that there are880 different magic squares of order 4 and 275305224 different magic squares of
order 5. Determining the number of different magic squares of order 6 or larger is an unsolved mathematical problem.For a magic square of ordern, the magic sum is
(n) =1 n n2∑
k=1k which turns out to be (n) =n3+n 2 Here is the beginning of a table of values of the magic sum. n (n) 3 15 4 34 5 65 6 111 7 175 8 260You can compute(n) inMatlabwith either
sum(diag(magic(n))) or (n^3 + n)/2 The algorithms for generating matrix square fall into three distinct cases: 7 odd,nis odd. singly-even,nis divisible by 2, but not by 4. doubly-even,nis divisible by 4. The best known algorithm for generating magic squares of odd order is de La Loubere's method. Simon de La Loubere was the French ambassador to Siam in the late 17th century. I sometimes refer to his method as the "nor'easter algorithm", after the winter storms that move northeasterly up the coast of New England. You can see why if you follow the integers sequentially throughmagic(9).47 58 69 80 1 12 23 34 45
57 68 79 9 11 22 33 44 46
67 78 8 10 21 32 43 54 56
77 7 18 20 31 42 53 55 66
6 17 19 30 41 52 63 65 76
16 27 29 40 51 62 64 75 5
26 28 39 50 61 72 74 4 15
36 38 49 60 71 73 3 14 25
37 48 59 70 81 2 13 24 35
The integers from 1 ton2are inserted along diagonals, starting in the middle of first row and heading in a northeasterly direction. When you go off an edge of the array, which you do at the very first step, continue from the opposite edge. When you bump into a cell that is already occupied, drop down one row and continue. We used this algorithm inMatlabfor many years. Here is the code.A = zeros(n,n);
i = 1; j = (n+1)/2; for k = 1:n^2 is = i; js = j;A(i,j) = k;
i = n - rem(n+1-i,n); j = rem(j,n) + 1; if A(i,j) ~= 0 i = rem(is,n) + 1; j = js; end endquotesdbs_dbs5.pdfusesText_9[PDF] fundamentals of corporate finance pdf
[PDF] fundamentos de administracion y gestion
[PDF] fundamentos de gestión empresarial
[PDF] fundamentos de gestion empresarial definicion
[PDF] fundamentos de gestion empresarial enfoque basado en competencias pdf
[PDF] fundamentos de gestion empresarial enfoque basado en competencias pdf gratis
[PDF] fundamentos de gestion empresarial julio garcia del junco pdf
[PDF] fundamentos de gestion empresarial libro
[PDF] fundamentos de gestion empresarial mc graw hill pdf
[PDF] fundamentos de gestión empresarial pearson pdf
[PDF] fundamentos de gestion empresarial unidad 1
[PDF] fundamentos de marketing kotler 13 edicion pdf
[PDF] fundamentos de marketing kotler 14 edicion pdf
[PDF] fundamentos de marketing kotler 8va edicion pdf
