Lecture note Data visualization - Chapter 22

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In this lecture we learned about: Sum and product functions, matrix size function, variance and standard deviation, random numbers, complex numbers, computational limitations, general mathematical functions, rounding functions, functions used in discrete mathematics, trigonometric functions.

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Nội dung Text: Lecture note Data visualization - Chapter 22

Lecture 22
Recap Sum and Product Functions Matrix Size Function Variance and Standard Deviation Random Numbers Complex Numbers
Computational Limitations MATLAB includes functions to identify the largest real numbers and the largest integers the program can process
Special Values and Functions
Summary of Chapter General mathematical functions, such as exponential functions logarithmic functions roots Rounding functions Functions used in discrete mathematics, such as factoring functions primenumber functions Trigonometric functions, including
Continued…. Data analysis functions, such as maxima and minima averages (mean and median) sums and products sorting standard deviation and variance Randomnumber generation for both uniform distributions Gaussian (normal) distributions
Chapter 5 Plotting
TwoDimensional Plots The most useful plot for engineers is the x–y plot A set of ordered pairs is used to identify points on a two dimensional graph; the points are then connected by straight lines The values of x and y may be measured or calculated Generally, the independent variable is given the name x and is plotted on the x axis, and the dependent variable is given the name y and is plotted on the y axis
Simple xy Plots Once vectors of x values and y values have been defined, MATLAB makes it easy to create plots Suppose a set of time versus distance data were obtained through measurement We can store the time values in a vector called x and the distance values in a vector called y : x = [0:2:18]; y = [0, 0.33, 4.13, 6.29, 6.85, 11.19, 13.19, 13.96, 16.33, 18.17];
Continued…. To plot these points, use the plot command, with x and y as arguments: plot(x,y) A graphics window automatically opens, which MATLAB calls Figure 1
Titles, Labels and Grids Good engineering practice requires that we include axis labels and a title in our plot The following commands add a title, x and y axis labels, and a background grid: plot(x,y) xlabel('Time, sec') ylabel('Distance, ft') grid on
Continued…. As with any MATLAB commands, they could also be combined onto one or two lines, separated by commas: plot(x,y) , title('Laboratory Experiment 1') xlabel('Time, sec' ), ylabel('Distance, ft'), grid
Multiple Plots If you are working in an Mfile when you request a plot, and then you continue with more computations, MATLAB will generate and display the graphics window and then return immediately to execute the rest of the commands in the program If you request a second plot, the graph you created will be overwritten There are two possible solutions to this problem: Use the pause command to temporarily halt the execution of your Mfile program so that you can examine the figure
Continued…. The pause command stops the program execution until any key is pressed If you want to pause for a specified number of seconds, use the pause(n) command, which will cause execution to pause for n seconds before continuing The figure command allows you to open a new figure window The next time you request a plot, it will be displayed in this new window
Continued…. For example: figure(2) opens a window named “Figure 2,” which then becomes the window used for subsequent plotting Executing figure without an input parameter causes a new window to open, numbered consecutively one up from the current window For example: if the current figure window is named “Figure 2,” executing figure will cause “Figure 3” to open