Advanced High-School Mathematics

(Tina Meador) #1

424 Index


geometric, 327
hypergeometric, 327, 334
negative binomial, 327
normal, 351
Poisson, 327, 337
standard deviation, 321
uniformly distributed, 348
variance, 321
random variables
discrete
independent, 321
independent, 348
negative binomial, 330
ratio test, 274
real projective plane, 205
recurrence relations
linear, 93
reflexive
relation, 201
rejection region, 400
relation, 200
relations
on sets, 186
relatively prime, 60
reliability, 361
Riemann integral, 249, 250
root mean square, 148
Routh’s theorem, 54
routing problems, 111
Russell’s antinomy, 187
Russell’s paradox, 187


sample mean, 374
expectation, 374
unbiased estimate, 374
sample standard deviation, 375
sample variance, 375, 386


unbiased estimate, 375
secant-tangent theorem, 32
segment
external division, 41
internal division, 41
sensed magnitudes, 7
separable differential equation, 308
sequence, 249
arithmetic, 93
harmonic, 148
sets, 185
signed magnitudes, 7, 33
significant, 395
similar triangles, 4
simple graph, 109, 135
Simson’s line, 36
simulation, 354
simultaneous congruences, 70
sine
addition formula, 39
law of, 23
sinusoidalp-series test, 276
slope field, 305
spanning tree, 125
minimal-weight, 125
St. Petersburg paradox, 326
stabilizer, 230
standard deviation, 321
statistics, 373
Steiner’s Theorem, 32
Stewart’s Theorem, 26
Strong Law of Large Numbers, 324
subgroup, 228
surjective, 198
symmetric
relation, 201
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