Index
Symbols
%, 43
@,
function handle creation, 171
&, 114
.', 116
.*, 48
./, 48
., 48
.̂, 48
̃, 114
|, 114
π, 8
3-D plot, 206
A
acos, 100
acosh, 100
air resistance, 269
algebra, 356
algorithm, 84
AND, 114
angle, 73
apostrophe, 130
arithmetic operator, 46
Array Editor, 35
asin, 100
asinh, 100
aspect ratio, 73
assignment, 7
assignment statement, 50
atan, 100
atanh, 100
axis limits, 200
azimuth, 213
B
bacteria division, 286
balance delimiters, 53
bar graph, 243
base workspace, 167
best fit, 155
binomial coefficient, 181
Bisection method, 297
bit, 35
bitwise logical operations, 115
breakpoint, 175
Bubble Sort, 244
bug, 255
byte, 35
C
calculus, 356
calendar, 8
camel caps, 34
cantilever beam, 263
cartesian co-ordinates, 204
case, 72
case sensitivity, 34
ceil, 100
cell array, 249
celldisp, 252
cellplot, 252
cla, 203
clc, 8
clear, 35
clear M-file, 168
clf, 203
clipboard, 26
colon operator, initialization, 37
colon operator, precedence, 47
color, 200
colorbar, 226
colormap, 225
comet3, 207
command, 50
command line, 7
command line editing, 7
Command Window, 5
command/function duality, 173
comment, 43
compiler, 29
complex conjugate transpose, 73
complex numbers, 72
condition estimator, 156
conj, 73
Contents.m, 167
context menu, 29
continue, 190
contour, 210
contour plot, 23
contour3, 210
cos, 101
cosh, 101
cot, 101
Crank-Nicolson method, 315
csc, 101
cumsum, 101
current directory, 28
curve fitting, 320
cut and paste, 26
D
data types, 45
deal, 249
Debugger, 174
debugging, 255
degrees to radians, 8
del2, 227
delimiter highlighting, 53
demo, 12
determinate repetition, 181
diag, 138
diary, 41
dice, 114
diff, 303
differentiation, 356
disp, 54
display,
scale factor, 57
division,
matrix, 156
dot product, 48
dot-transpose operator, 116
double, 45
double precision, 45
doubling time of an investment, 185
drawnow, 223
E
editing a plot, 220
eig, 146
eigenvalue, 148
eigenvector, 149
electrical circuit, 264
element-by-element operation, 48
ellipse, equation of, 232
elseif, 68
empty, 37
empty array, 120
end, 132
eps, 111
etime, 62
Euler's method, 304
exclusive OR, 115
exist, 119
exp, 101
explicit list, initializing vectors, 36
exponent, 45
exponential,
matrix, 308
exponential fit, 155
exponential growth, 305
exporting ASCII data,
save, 104
exporting binary data,
save, 105
eye, 135
F
factorial, 59
false, 109
fast Fourier transform, 325
feval, 171
Fibonacci numbers, 180
field, 247
fieldnames, 248
find, 119
findobj, 218
fix, 101
fliplr, 138
flipud, 138
for, 60
command line version, 61
index, 60
iteration count, 60
more general, 61
most general form, 139
replaced by vectorization, 62
used for determinate loop, 191
formula,
vectorization, 52
fplot, 205
fractal, 233
free fall problem, 264
frequency distribution, 243
full, 160
full matrix, 158
function, 50, 166
handle for passing as argument, 171
help, 166
MATLAB Function Reference, 100
name resolution, 174
P-code file, 170
private, 170
subfunction, 170
function functions, 173
function M-file, 163
function/command duality, 173
fzero, 299
G
Gauss reduction, 162
Gaussian random number, 291
gca, 215
gcf, 215
gco, 215
get, 216
Gibbs phenomenon, 194
ginput, 203
global, 167
graphics,
2-D, 197
3-D, 206
3-D rotation, 213
axis limits, 200
contour plot, 209
cropping a surface, 211
editing, 220
editing a plot, 220
line type, 200
logarithmic plot, 203
mesh surface, 207
plotting symbol, 200
polar co-ordinates, 204
rapidly changing functions, 205
saving, 229
vector field, 211
grid, 199
guessing game, 184
H
H1 line, 166
Halley's comet, 233
Handle Graphics objects, 214
Harmonic analysis, 325
help,
for a function, 166
Help Navigator, 99
helpwin, 99
hexadecimal, 56
histogram, 243
hold, 199
I
i, 72
identity matrix, 135
imag, 73
importing ASCII data,
load, 105
importing binary data,
load, 106
inclusive OR, 115
index of for, 60
Inf, 7
infinity, 7
initialization, colon operator, 37
initialization, explicit list, 36
inline object, 92
input argument, 93
integration, 356
interpolation, 301
interpreter, 29
inv, 146
isempty, 120
isglobal, 167
isinf, 120
isnan, 120
isothermal, 210
iteration count, 60
J
j, 72
K
Knuth, 188
L
least squares, 155
Legendre polynomial, 180
length, 102
Leslie matrix, 147
lighting, 228
limit of sequence, 59
line numbers, 174
line style, 200
linspace, 38
list,
sorting, 244
LODE, 308
log, 102
log10, 102
logarithmic plot, 203
logarithmic spiral, 231
logical error, 256
logical function, 119
loglog, 204
logspace, 38
lookfor, 166
Lorenz, 310
Lotka-Volterra model, 313
lu, 146
M
marker, 200
Markov chain, 150
MATLAB functions, 92
matrix, 36, 40, 127
array operation, 138
creating, 129
deleting rows and columns, 134
duplicating rows and columns, 133
enlarging, 130
full, 158
Leslie, 147
multiplication, 143
plot, 197
sparse, 158
subscript, 129
visualization, 212
matrix division, 156
matrix exponential, 308
matrix exponentiation, 145
matrix multiplication, 143
matrix operation, 143
matrix operations, 48
mean, 102
mechanical system, 337
menu, 190
mesh, 208
mesh surface, 207
meshc, 210
meshgrid, 207
Mexican hat, 23
mlock, 168
Monte Carlo estimation of π, 292
multi-dimensional array, 142
multiple lines in Command Window, 27
multiple plots, 202
multiple plots on same axes, 199
munlock, 168
N
NaN, 7
nargin, 170
nargout, 170
nested for, 140
nested fors, 184
nested ifs, 70
Newton's method in general, 295
normally distributed random number, 291
NOT, 114
not-a-number, 7
num2str, 55
number, 45
numerical differentiation, 302
numerical integration, 300
numerical method, 295
Bisection method, 297
differential equation, 304
differentiation, 302
Euler's method, 304
integration, 300
Newton quotient, 302
Newton's method, 295
partial differential equation, 314
predictor-corrector, 307
Runge-Kutta method, 309
Simpson's rule, 301
solution of equations, 295
Trapezoidal rule, 300
numerical solution of differential equations, 304
numerical solution of equations, 295
O
object-oriented programming, 252
ones, 135
operand, 46
oscillator, 337
output argument, 165
over-determined system, 154
P
P-code file, 170
paging, 188
paging output, 55
partial differential equation, 314
pascal, 136
pause, 213
pcode, 170
persistent variable, 167
pi, 8
plot edit mode, 220
plot3, 206
plotedit, 220
plotyy, 199
Poisson process, 288
polar, 204
polar co-ordinates, 204
polynomial fitting, 320
pow2, 102
pre-allocation, 237
precedence of operators, complete list, 116
predator-prey model, 313
predictor-corrector method, 307
private function, 170
prod, 102
Profiler, 171
program, 25
projectile problem, 264
projectile trajectory, 188
Property Editor, 206
pseudo-code, 41
pseudo-random number, 102
Q
qr, 146
quad, 302
quadrature, 302
quiver, 211
quote in string, 54
R
radio-active decay, 294
RAM, 29
randn, 291
random access memory, 29
random numbers,
counting, 113
rat, 56
real, 73
recall,
smart, 7
recursion, 177
redimensioning, 238
reference, pass by, 169
relational operator, 65
relative accuracy, 45
rem, 102
removing element of vector, 119
removing elements of an array, 39
repmat, 133
reshape, 133
reshaping a matrix, 132
residual, 154
right division, 156
rmfield, 249
rolling a dice, 285
rolling dice, 114
root of an equation, 295
roots, 299
rot90, 138
run-time error, 174
Runge-Kutta method, 309
S
saving a file, 27
saving a graph, 229
scalar, 9
scalar expansion, 48
scalar product, 48
scope, 167
script file, 28
seeding rand, 284
semi-colon, 7
semilogx, 204
semilogy, 203
sensitivity analysis, 161
separator, 50
series for π, 192
set, 216
Simpson's rule, 301
simulation, 114, 243
bacteria division, 286
bacteria growth, 292
estimation of π, 292
game of eights, 293
radio-active decay, 294
random walk, 286
rolling a dice, 285
spinning coins, 284
traffic flow, 288
single-precision, 45
size, 35
smart indenting, 61
smart recall, 7
sort, bubble, 244
sound, 183
spinning coins, 284
spring, mass damper model, 337
sprintf, 242
sqrt, 8
stable age distribution, 149
struct, 248
structure, 247
subfunction, 170
subplot, 202
subscript out of range, 130
subscripting with logical vectors, 118
sunflower head, 232
surf, 208
surfc, 210
svd, 146
switch, 71
symbolic mathematical, 355
syntax error, 255
T
tab completion, 11
Taylor series,
exponential, 179
terminal speed, 270
TeX characters, 220
text, 199
tic, 62
tiling, 134
title, 199
toc, 62
top down programming, 42
traffic flow, 288
transpose operator, 116
transpose operator, highest precedence, 47
Trapezoidal rule, 300
tridiagonal matrix, 315
trigonometry, 356
tril, 138
triu, 138
true, 109
truecolor, 228
truncation error, 320
type, 28
U
under-determined system, 155
uniformly distributed random number, 283
update process, 235
V
value, pass by, 169
Van der Pol's equation, 322
varargout, 251
vector, 9, 36
colon operator, 37
explicit list, 36
incompatible sizes, 256
pre-allocation, 237
redimensioning, 238
removing element, 119
scalar product, 48
transpose, 39
view, 213
visualization of matrix, 212
W
who, 35
whos, 35
why, 25
Workspace Browser, 35
X
xlabel, 199
xor, 115
Y
ylabel, 199
Z
zero of a function, 295
zeros, 135
zlabel, 207
zoom, 321
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