Index-H8152.tex 23/6/2006 15: 18 Page 726
726 INDEXSimultaneous equations, 4
by Cramers rule, 283
by determinants, 279
by Gaussian elimination, 284
by matrices, 277
Sine, 116
curves, 152
rule, 124
wave, 220
wave production, 151
Sinθsubstitution, 401
Sinh, 41
series, 48
Sinhθsubstitution, 403
Sinusoidal form,Asin(ωt±α), 157
Small changes, 311, 352
Solution of any triangle, 124
right-angled triangles, 118
Space diagram, 231
Spectrum of waveform, 698
Standard curves, 191
derivatives, 289
deviation, 541
error of the means, 578
integration, 367
Stationary points, 302, 357
Statistical tables:
Chi-square, 609
Mann–Whitney, 622, 623
normal curve, 561
sign test, 614
Student’st, 587
Wilcoxon signed test, 617
Straight line, 191
Student’stdistribution, 586
Sum to infinity, 54
Successive differentiation, 296
Switching circuits, 94
Symmetry relationships, 695Tables, statistical:
Chi-square, 609
Mann–Whitney, 622, 623
normal curve, 561
sign test, 614
Student’st, 587
Wilcoxon signed test, 617
Tally diagram, 532, 535
Tangent, 116, 137, 310
Tangential velocity, 244
Tanh, 41
Ta nθsubstitution, 403
Ta nθ 2 substitution, 413
Taylor’s series, 460
Testing for a normal distribution, 563
Theorems:
binomial, 58, 59factor, 8
Maclaurin’s, 67
Pappus, 380
parallel axis, 383
perpendicular axis, 384
Pythagoras, 115
remainder, 10
Total differential, 349
Transfer function, 642
Transformations, 194
Transmission equation, 515
Transposition of formulae, 3
Trapezoidal rule, 216, 433, 683
Trial solution, 516
Triangle, area of, 125
Trigonometric ratios, 116
evaluation of, 121
functions, 173, 191
and hyperbolic substitutions, integration, 397,
398, 403
equations, 166, 167
identities, 166
inverse function, 202, 332
waveforms, 148
Trigonometry, 115
practical situations, 128
Truth tables, 94
t=tan(θ/2) substitution, 413
Two-state device, 94
Two-tailed tests, 593
Turning points, 302
Type I and II errors, 590
Ungrouped data, 528
Unit matrix, 271
Unit triad, 237
Universal logic gates, 110
Upper class boundary value, 532Vector addition, 225
nose-to-tail method, 226
parallelogram method, 226
Vector equation of a line, 245
Vector products, 241
applications of, 244
Vector quantities, 225
Vector subtraction, 229
Velocity and acceleration, 299
Vertical bar chart, 528
Volumes of irregular solids, 218
of solids of revolution, 377Wallis’s formula, 430
Wave equation, 515, 516
Waveform analyser, 160
Wilcoxon signed-rank test, 616
Work done, 241Zeros (and poles), 643