Index-H8152.tex 23/6/2006 15: 18 Page 725
INDEX 725Partial differentiation, 343
equations, 512
Partial integration, 512
Partial fractions, 18
inverse Laplace transforms, 640
integration, using, 408
linear factors, 18
quadratic factors, 22
repeated linear factors, 21
Particular solution of differential equation, 444, 476
Particular integral, 481
Pascal’s triangle, 58
Percentage component bar chart, 528
Percentile, 543
Period, 153, 657
Periodic function, 153, 199, 657
combination of, 232
Periodic time, 157
Perpendicular axis theorem, 384
Phasor, 157, 225, 232, 699
Pictogram, 528
Pie diagram, 528
Planimeter, 216
Point of inflexion, 302
Point estimate, 581
Poisson distribution, 556, 595
Polar co-ordinates, 133
curves, 194
form, 254
Poles, 642
Pole-zero diagram, 643
Polynomial division, 6
Polynomial, Legendre’s, 510
Population, 527
Power series for ex,29
coshxand sinhx,48
Power series methods of solving differential
equations, 491
by Frobenius’s method, 498
by Leibniz–Maclaurin method, 495
Power waveforms, 185
Powers of complex numbers, 261
Precedence, 2
Probability, 545
laws of, 545
paper, 563
Product rule of differentiation, 292
Product-moment formula, 567
Pythagoras, theorem of, 115
Quadrant, 137
Quadratic equations, 5
graphs, 191
inequalities, 16
Quartiles, 543
Quotient rule of differentiation, 293
Radian, 138, 158
Radius, 137
of curvature, 317of gyration, 383
Radix, 86
Rates of change, 298, 350
Reciprocal matrix, 272, 274
ratios, 116
Rectangular co-ordinates, 136
Rectangular hyperbola, 193, 314
Recurrence formula, 495
relation, 495, 505
Reduction formulae, 424
of exponential laws to linear form, 38
Regression, coefficients, 571
linear, 571
Relation between trigonometric and hyperbolic
functions, 173
Relative frequency, 527
velocity, 231
Reliability, 581
Remainder theorem, 10
Resolution of vectors, 227
Right-angled triangles, 118
R.m.s. values, 376
Rodrigue’s formula, 511
Roots of complex numbers, 262
Runge–Kutta method, 469Saddle point, 355, 356
Sample, 527, 577
Sampling distributions, 577
statistics, 581
Scalar multiplication, 268
Scalar product, 237, 238
application of, 241
Scalar quantity, 225
Scatter diagram, 567, 574
Secant, 116
Sech, 41
Second moment of area, 382
Second order differential equations, 475, 481
Sector, 137
area of, 138
Segment, 137
Semicircle, 137
Semi-interquartile range, 543
Separation of variables, 444, 515
Series, binomial, 58, 59
exponential, 29
Fourier, 657
Maclaurin’s, 67
sinh and cosh, 48
Set, 527
Significance testing, 590, 597
tests, 597
Sign test, 614
Simple equations, 3
Simpson’s rule, 217, 437
Simultaneous differential equations by Laplace
transforms, 650