Figures

2.1 MATLAB® L-shaped membrane, obtained with the logo command 8

2.2 MATLAB® R2012b Desktop 9

2.3 The Desktop toolstrip 9

2.4 Command Window after separation from the desktop 11

2.5 Help Window with information about the pareto command 17

3.1 The tested pH of the bacterial broth plotted with default settings 69

3.2 The tested pH level generated by the plot command with specifiers and property settings 71

3.3 Two curves in the single plot; percentage of coal ash content by lot 73

3.4 Three series of coal ash content in the single plot, produced with the hold on/off command option 74

3.5 The page arranged in (a) four and (b) three panes 74

3.6 Three plots in a single page 76

3.7 The sine x and cosine x plot constructed (a) without and (b) with the axis tight command 78

3.8 The tested pH level plot formatted with xlabel, ylabel, title, text, and grid commands 79

3.9 Plot of the sin x and cos x functions with legend 80

3.10 The menu and buttons for plot editing from the Figure Window 82

3.11 Expanding spiral line in three-dimensional coordinates 84

3.12 Points in three-dimensional interpretation and their x,y-plane projection 84

3.13 Mesh plot for a quarter of the bivariate distribution 87

3.14 Surface plot for a quarter of the bivariate distribution 87

3.15 Azimuth and elevation angles of the observation point in 3D plots 89

3.16 The bivariate t-distribution function plotted with different view angles 91

3.17 The Figure Window with a plot in the rotation regime 92

3.18 Histogram plot of the tree height data 94

3.19 Pareto chart with ranked PCB defects 96

3.20 Plot of pH level data with error bars 97

3.21 Scatterplot for quality characteristics 98

3.22 Scatterplot with enlarged marker area 99

3.23 x-bar control chart 111

3.24 Pareto chart of the PCB defect causes 112

3.25 Histogram with and without specification limits 114

3.26 Surface plot of a bivariate normal distribution 116

3.27 Bivariate histogram for the piston ring data 117

3.28 Ponderal index surface plot 118

3.29 Gantt chart for project with 5 tasks 121

4.1 The pdf, cdf, and inverse cdf plots for voltmeter data 125

4.2 Histogram of the conductor resistance obtained with the Monte Carlo simulation 135

4.3 Boxplot for tree height data 138

4.4 Boxplot for tree height data from two sites 139

4.5 Process capability plot for the piston ring gap control 140

4.6 Control chart generated with the controlchart command 141

4.7 Boxplot for three shipments of milk 147

4.8 Process capability plot of the four tested samples 149

4.9 The pdf and simplification limits by the normspec command 151

5.1 The Editor Window 154

5.2 The Editor Window with script file and M-Lint message 155

5.3 The 'Current Folder' window, current folder toolbar, 'Browse for folder' button, and opened 'Select a new folder' dialog box 157

5.4 Typical function file in the Editor Window 160

5.5 Original data (), interpolation (•), and extrapolation (Δ) points 165

5.6 Definite integral of the function f(x) given analytically (a) and by the data points (b) 169

5.7 Geometrical representation of derivative 171

5.8 First degree polynomial fit 177

5.9 The lifetime data fitted with Weibull distribution 179

5.10 The resistance data fitted with normal distribution 182

5.11 Probability density plot of two technical devices 188

6.1 Normal probability plot for two computer models 204

7.1 The solution of the differential equation for the first order system 215

7.2 The solution of ODE for the second order system 220

7.3 Price–time ODE solution 222

7.4 Species amount–time ODEs solution 224

7.5 Pin length prediction by the grey ODE solution 226

Tables

2.1 Elementary, trigonometric, and specific mathematical functions 12

2.2 Time–weight data 27

2.3 Ball bearing diameter (mm) 30

2.4 Command for matrix manipulations, generation and analysis; dates and their conversion 40

2.5 The If statement forms 56

2.6 Loops 57

3.1 Specifiers for the 'Line Specifiers' character string 69

3.2 Available property names, values, and purposes 70

3.3 Additional commands and plots for 2D and 3D graphics 100

4.1 Name and parameters for input in the pdf, cdf, and icdf functions 126

4.2 Commands for probability distributions and random numbers 129

4.3 Some additional graphical commands of the Statistics Toolbox™ 142

5.1 Parts-in-queue – time data 170

5.2 Demand–price data 172

5.3 Europe population 1750–2011 186

6.1 Commands for hypothesis tests 198

7.1 MATLAB® ODE solvers 209

A1 Operators of scalar, array and matrix arithmetic 229

A2 Special characters 229

A3 Relational and logical operators 230

A4 Alphabetical list of commands and predefined variables 231