Advanced High-School Mathematics

(Tina Meador) #1

422 Index


Kruskal’s algorithm, 128
Kuratowski’s theorem, 137


l’Hˆopital’s rule, 259
Lagrange form of the error, 301
Lagrange’s theorem, 233
Laplace transform, 257
law of cosines, 24
law of sines, 23
explicit, 34
least common multiple, 59
least upper bound, 250
level of confidence, 380
limit
of a function, 245
of a sequence, 249
one-sided, 246
limit comparison test, 269
linear congruences, 89
linear difference equation, 93
general homogeneous, 94
linear Diophantine equation, 65
linear recurrence relations, 93
lines
concurrent, 8
logistic differential equation, 305
logistic map, 93
logistic recurrence equation, 93
loop
of a graph, 110
low-pass filter, 262
lower Riemann sum, 250
Lucas numbers, 106


Maclaurin polynomial, 291
Maclaurin series, 291
mappings, 186


margin of error, 392
Markov’s inequality, 323
mass point, 47
mass point addition, 47
mass point geometry, 46
mass splitting, 51
matched-pairs design, 402
maximum-likelihood estimate, 376
Maxwell-Boltzmann density func-
tion, 357
Maxwell-Boltzmann distribution, 357
mean, 318
arithmetic, 147
confidence interval, 380
geometric, 147
harmonic, 148
quadratic, 148
mean value theorem, 298
medial triangle, 19
medians, 13
Menelaus’ Theorem, 11
Mersenne number, 235
Mersenne prime, 92
Midpoint Theorem, 6
minimal-weight spanning tree, 125
minor of a graph, 138
multinomial distribution, 341
multinomial experiment, 409
nearest-neighbor algorithm, 121
negative binomial, 330
nine-point circle, 43
normal distribution, 350
null hypothesis, 395
number bases
alternate, 90
number theory, 55
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