Advanced High-School Mathematics

(Tina Meador) #1

Index 423


one-to-one, 198
one-way table, 409
onto, 198
opens, 29
operations
on subsets, 186
order
infinite, 226
of a set, 188
of an element, 226
orthocenter, 14
orthogonal intersection, 43


p-series test, 272
P=NP, 120
Pappus’ theorem, 19
parameters, 321, 350
partition
of an interval, 249
Pascal’s theorem, 21
path
in a graph, 110
permutation, 198
Petersen graph, 138
planar graph, 136
Poisson random variable, 337
distribution, 337, 339
variance, 339
polynomials
elementary symmetric, 176
power of a point, 33
power series, 283
radius of convergence, 284
power set, 186, 189
Prim’s algorithm, 130
prime, 60, 75
relatively, 60


probability
conditional, 319
projective plane, 205
proper containment, 187
proportional segments
Euclid’s Theorem, 3
Ptolemy’s theorem, 37
Pythagorean identity, 23
Pythagorean theorem, 3
Garfield’s proof, 4
Pythagorean triple, 67
primitive, 67

quadratic mean, 148
quotient set, 203

radius of convergence, 284
Ramsey number, 120
Ramsey theory, 120
rand, 348
density function, 349
random harmonic series, 326
random variable, 317
Bernoulli, 329, 390
binomial, 327, 329
continuous, 317, 348
mean, 365
median, 365
mode, 365
standard deviation, 366
variance, 365
discrete, 317
expectation, 318
mean, 318
standard deviation, 321
variance, 321
exponential, 358
Free download pdf