Advanced High-School Mathematics

Index 421

complete, 118, 135
connected, 110
homeomorphism, 137
minor, 138
planar, 136
simple, 109, 135
weighted, 109
graph automorphism, 208
graphs
isomorphic, 134
greatest common divisor, 57
greatest lower bound, 250
greedy algorithm, 128
group, 217
abelian, 222
cyclic, 224
group theory, 185

H ̈older’s inequality, 158
Hamiltonian cycle, 117
harmonic mean, 42, 148
harmonic ratio, 41
harmonic sequence, 109, 148
harmonic series, 265, 348
random, 326
Heron’s formula, 25
higher-order differences
constant, 102
histogram, 354
homeomorphic
graphs, 137
homeomorphism of graphs, 137
homogeneous
differential equation, 310
function, 310
homogeneous difference equation,
94

homomorphism

of groups, 236

hypergeometric random variable, 334

distribution, 334

mean, 335

variance, 336

hypothesis, 395

alternative, 399

identity, 215

improper integrals, 254

incenter, 14

incircle, 17

independent, 348

indeterminate form, 257

inductive hypothesis, 81

inequality

Cauchy-Schwarz, 150

H ̈older’s, 158

unconditional, 145

Young’s, 157

infinite order, 226

infinite series, 264

initial value problem, 305

injective, 198

inscribed angle theorem, 28

integrating factor, 312

internal division, 41

intersecting chords theorem, 33

intersection, 186

of sets, 190

irrationality of π, 253

isomorphic graphs, 134

isomorphism

of groups, 236

K ̈onigsberg, 111