Advanced High-School Mathematics

Index 425

symmetric difference, 186, 211
symmetric group, 218

tdistribution, 386
tstatistic, 386
Taylor series, 291
Taylor’s theorem with remainder,
299
test for homogeneity, 409
test statistic, 396
torus, 140, 196
trail
in a graph, 110
transitive
relation, 201
transversal, 11, 51
traveling salesman problem, 118
treatment, 402
tree, 125
triangle
altitude, 14
centroid, 13
circumcenter, 17
circumradius, 17, 31, 34
orthocenter, 14
triangle inequality, 248
two way contingency table, 411
type I error, 395

unbiased estimate, 374, 386
unconditional inequality, 145
uniformly distributed, 348
union, 186
of sets, 190
universal set, 190
upper Riemann sum, 249

Van Schooten’s theorem, 35

Vandermonde matrix, 174

variance, 321

Venn diagram, 191

vertex, 109

of a graph, 109

vertex-transitive graph, 241

Wagner’s theorem, 138

walk

in a graph, 110

Wallace’s line, 36

Weak Law of Large Numbers, 324

Weibull distribution, 365

weighted directed graph, 131

weighted graph, 109

Young’s inequality, 157

Zorn’s Lemma, 125