Index

A

abs 12, 231
acceleration, gravitational constant 25
acidity level, antibiotic 68, 79
acos 13, 231
acosd 14, 231
acot 14, 231
acotd 14, 231
activation, energy 48
addtodate 43
ans 14, 231
answers, to selected questions 65, 122, 152, 189, 206, 228
arithmetical 
operations 12
with arrays, matrices 32
operators 32, 36
array 
definition 36
division 36
element-wise (or element-by-element) 36
exponentiation 36
multiplication 36
operations 36
arrow key 11
asin 13, 231
asind 13, 231
assignment operator 14, 229
atan 14, 231
atand 14, 231
axis 77, 231
equal/off/square/tight 77

B

bacteria 
broth, pH 68, 71
cell population statistics 47
in milk, boxplot,145 
bar 105, 231
barh 106, 231
bar3 106, 231
batch reactor, ODE 222
Bayes’ law 24
bearing, ball diameter 30
box on/off 103, 231
boxplot 137, 231

C

can, filling within specified bounds 150
capability, process, plot 147
capaplot 139
cdf 125, 231
chapter, design 3
chi-square 
criterion 182
goodness of fit 182
chi2gof 198, 231
clabel 104, 231
clc 11, 231
clear 20, 231
close, close all 71 231
coal ash, in lots 73
colon (:) 28, 30, 57, 230
color, 
intensity 88
line specifiers 68
marker, type 69
colormap 88, 231
Command Window 10
comment (%) 11, 161, 229
conditional statements 
if. . .else. . .end 56, 232
if . . .elseif . . .else . . .end 56, 232
if . . . end 56, 233
while . . . end 57, 237
conductor resistance, Monte-Carlo 132
confidence 
interval, milk weight 135
level 135
limits, calculator 180
contour 104, 231
contour3 105, 231
control 
chart, plot 141 
predictive 224
limits 110
controlchart 141, 231
convertor, pound to kilogram 158
cos 13, 232
cosd 13, 232
cot 13, 232
cotd 13, 232
cumsum 42, 232
Current Folder 
toolbar 156
window 10
current strength 54
cylinder 103, 232

D

data 
lifetime 178
time-weight 27
weight-height 49
datenum 43, 232
datestr 42, 232
decay, radioactive 164
defect level 20
defittool 180, 232
demand, elasticity 172
density 
current, electrical 48
probability 
function 114, 140
two devices 187
solid body, error 184
derivative 171
Desktop 8
toolstrip 8
windows 10
det 42, 232
determinant 42
diag 41, 232
diff 172, 232
differential equations 
numerical methods 210
ordinary 207
solvers 209
stiff/non-stiff 210
distance, between the quantiles 144
disp 21, 232
display formats 20
distribution 
beta 126
binomial 126
negative 126
bivariate 
correlated variables 114
normal, pdf 114
t, pdf 91
chi-square 126
F 126
gamma 126
hypergeometric 126
lognormal 126
normal 126
parameters 125, 126
Poisson 126
Student’s 126
triangular, pdf 61
uniform 126
Weibull 126
disttool 142, 232
doc 17, 232
drill press, waiting time 170
drug, pharmaceutical, quality 96

E

Editor 
plot tool 81
toolstrip 154
window 8, 155
element-wise (or element-by-element) operations 36
else 56, 232
elseif 56, 232
end 29, 56, 232
equal, element-wise 51 230
equation, nonlinear algebraic 166
equations, set of linear 34
equilibrium price, ODE 220
erf 14, 232
error 
propagation 184
type I or II 192
errorbar 96, 232
asymmetric 96
symmetric 96
exp 12, 232
extrapolation 164
eye 41, 232

F

factorial 13, 232
failure, MTTF 48
false 51
felt air temperature 63
figure 100, 232
Figure window 11, 68
find 53, 233
fitting, 
distribution 177
exponential 176
logarithmic 176
polynomial 174
first degree, linear 175
floor 13, 233
flow control 51
for 57, 233
format 20, 233
long or longE 20
short or shortE 20
formatting 
text string 81
2D plots 76
3D plots 88
with plot editor 76
fplot 100, 233
fprintf 22, 44, 233
function 160, 233
command components 
definition line 160
help lines 161
parameters/arguments 160
elementary 10
file 159
running 163
saving 162
specific 14
trigonometric 12
user-defined 159
fzero 166, 233

G

gamma 14, 233
Gantt chart 119
Gaussian/Gauss 
function 24
equation 166
global 162, 233
global, variable 162
goodness of fit 182
gravitational acceleration constant, error 25
greater than (relational) 51, 230
Greek characters 77, 81
grey model 224
grid 76, 233
growth, population 174
gscatter 143, 233
gtext 78, 233

H

help 16, 233
help graph2d 99, 233
help graph3d 99, 233
help specgraph 99, 233
Help, window 16
hist 94, 233
hist3 107, 233
histogram 94
hold on/off 72, 233
human, body losses 63

I

i, square root of −1 20, 233
icdf 125, 233
identity matrix 35
if 56, 233
inf 19, 233
input 158, 233
input, arguments of function 160
integer, random number 39
integration 
commands 
quad 168, 235
trapz 170, 237
methods 
Simpson, rule 168
trapezoid, rule 170, 209
intensity, color 88
interp1 164, 233
interpolation, 
cubic, property value 165
data points 165
linear, property value 165
method, property 165
quality 185
spline, property value 165
interrupt, indefinite loop 57
inv 35, 233
inverse 
matrix 35
trigonometric functions 12
IQ, score, z-test 202

J

j, square root of −1 20, 233
Jarque-Bera test 198
jbtest 198, 234

K

Kolmogorov-Smirnov 
test 199
two-sample 199
kstest 199, 234
kstest2 199, 234

L

Leanness of person, index PI 118
left division 12, 35, 229
legend 80, 234
length 40, 234
less than (relational) 57, 230
lifetime (to failure), fit 178
Lillieforce, test 200
lillietest 200, 234
Line, style specifiers 69
LineWidth, property 70
linspace 29, 234
load 197, 234
local, variable 161
log 12, 234
log10 12, 234
logical 
functions/variables 53
operators (commands) 52, 230
loglog 102, 234
lookfor 16, 234
loop 56
indefinitely continued 57

M

marker, type specifiers 69
MarkerEdgeColor, property 70
MarkerFaceColor, property 70
MarkerSize, property 70
matrix 
addition/subotraction 32
determinant 42
division 34
generation 29
identity 35
inverse 35
multiplication 33
size 32
max 41, 234
maximum-likehood, method 177
mean 41, 234
mesh 86, 234
meshgrid 85, 234
m-file 10, 154
milk weight 135
shipments 145
min 41, 234
modifiers, for string 81
Monte-Carlo, simulation 132

N

n. . .cdf 129, 234
n. . .fit 178, 234
n. . .inv 130, 234
n. . .pdf 129, 234
n. . .rand 130, 234
n. . .stat 130, 235
normcdf 124, 235
norminv 124, 235
normpdf 124, 235
normplot 144, 235
normspec 144, 234
Not-a-Number, NaN 20, 234
not equal (relational) 51, 230
not, logical 53, 234
number, 
display output, format 20
scientific notation 20
num2str 43, 235

O

ode. . ., general command form 211, 235
ode15i 209, 235
ode15s 209, 211, 235
ode23 209, 235
ode23s 209, 235
ode23t 209, 235
ode23tb 209, 235
ode45 209, 211, 235
ode113 209, 235
ODE 
grey model 224
numerical solution method 210
ODE solvers, 
command form 211, 216
solution steps 212
ones 38, 235
or, logical 53, 235
output 
commands 21
parameters/arguments of function 160

P

parentheses 11, 30, 229
pareto 16, 95, 235
Pareto 
chart 95
principle (80–20) 111
pendulum, uncertainty 25
percent, symbol, 
comment 11, 229
in fprintf 22, 229
percentage, error 49
pi, π-number 12, 235
pie 109, 235
pie3 109, 235
pin, length 225
pipe, specified limits 132
piston ring, radial pressure 116
plot 
axis 
limits 77
axis labels, plot editor 82
bar 
two or three dimensional 105, 106
error 95
color specifiers 68, 82
contour, command 
2D 104, 231
3D 105, 231
formatting 76, 88
generation 
XY (2D) 68
XYZ (3D) 82
grid, for points in 3D 85
histogram 93
labels 76, 83
legend 80
line 
style specifiers 69
3D 82
logarithmic/semi-logarithmic axis 101
type specifiers 69
mesh, in 3D 83
multiple, two or more 
curves in a plot 72
plots on a page 73
observation angles 89
pie, charts 109
polar 101
properties 69
residuals 177
rotation 88, 92
specialized 93
specifiers, some examples 70
surface 3D, 86
text 78
three-dimensional 3D, 83
title 77
two-dimensional 2D, 68
plot 68, 235
plot editor 81
plot3 82, 235
plotting, antibiotic acidity level 68
polar 101, 235
polyfit 175, 235
polyval 175, 235
ponderal index, PI 118
population 
bacterial cell 47
Europe 186
power of test 196
prediction 
Europe population 186
grey model 224
probplot 143, 235
property, in plot command 
name 68
value 68
P-value 192

Q

quad 168, 235
quality 
characteristics, scatter plot 98
controlchart, X-bar 110
enhancement, ODE 220
questions, for self-checking 64, 121, 151, 188, 206, 227

R

rand 38, 236
randi 39, 41, 236
randn 38, 236
random 128, 236
random numbers 123
randtool 142, 236
reactant, (species) amount 223
reaction 
basic 222
rate constant 222
regression, linear 59
relational operators 51, 230
repmat 40, 236
reshape 40, 236
residuals 175
plot 177
right division 12, 35, 229
rng 39, 236
rotate3d on/off 93 236
round 13, 236

S

sample 
data sets 199
size 26, 196
sampsizepwr 196, 236
script file 
input values 158
run 157
saving 156
typing 154
Search Documentation, field in the Help window 17
second order system, ODE solution 218
semicolon 11, 27, 230
semi-logarithmic axis 101
semilogy 101, 236
significance, level 192
signrank 200, 236
Simpson method, rule 168
simulation 
batch reactor, ODE 222
Monte-Carlo 132
sin 13, 236
sind 13, 236
size 40, 236
sort 42, 236
sphere 102, 236
sqrt 12, 236
stairs 108, 236
std 42, 236
stem 107, 236
stem3 108, 237
string 
array 43
input 158
output 21
strvcat 41, 237
student weight-height, regression 49
subplot 73, 237
subscript, in text string 81
sum 42, 237
superscript, in text string 81
surf 86, 237
surfc 105, 237

T

table, displaying 44
tan 13, 237
tand 13, 237
test/testing 
cherry trees height 93
hypothesis, outlines 191
Jarque-Bera 198
Kolmogorov-Smirnov 199
Liellenfors 200
lifetime, computer 203
parametric/non-parametric 192
proportion 205
t 193
two-sample 201
Wilcoxon, ranksum 194
z 201
text 78, 237
text modifiers 81
tinv 181, 237
title 77, 237
toolboxes 
about 18
statistics 123
transpose, (’) operator 31, 237
trapezoidal rule 170, 209
trapz 170, 237
true, value 51
t-test 193, 196, 201, 203
ttest 201, 237
ttest2 201, 237

V

variable 
global/local 161
management 19
name 19
predefined 19
vector 
generation 27
and matrix operators 27
ver 18, 237
view 89, 237

W

waiting queue, time 170
wbfit 178
weight versus height 49
while 57, 237
who 20, 237
whos 20, 237
Wilcoxon, signed rank test 200
wind chill index 63

X

xlabel 77, 237

Y

ylabel 77, 237

Z

zeros 38, 237
zlabel 83, 237
z-test, one-sample 202
ztest 201, 237
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