randomness, definitions of→142f
von Mises→142
Lehmer→142
Franklin→142
Probability: Frequency of occurrence→143
equidistributed→143f
Probability, over the integers→143f
$\mathop {\char P\char r}$→143
$k$-distributed sequence→144f
$∞$-distributed sequence→144f
$[\,0,1)$ sequence→144
$b$-ary sequence→144
$b$-ary number→144
pi→144f
Locally nonrandom behavior→145
Finite sequence, random→145
$k$-distributed sequence→145f
Riemann integration→146f
permutation test→147
serial correlation test→148
Niven→149
Zuckerman→149
Cassels,→151
serial test→151
maximum-of-$t$ test→151
collision test→151
gap test→151
poker test→151
run test→151
coupon collector's test→151
Franklin→152f
pi→152
Knuth→152
Korobov,→152
Lebesgue measure→154
Lebesgue integration→154
Effective algorithm→154f
pi→154
gambling system→155
subsequence rule→155f
computability→155f
Wald→157
equidistributed→157
van der Corput→157
Halton,→157
Ramshaw,→157
Lebesgue measure→159f
binomial distribution, tail→160
Finite sequences, random→161f
locally nonrandom behavior→162
$\mathop {\char P\char r}$→162
$k$-distributed→162
Kolomogorov→163
Rees→163
Martin-L\"of→163
Turing machine→164
Chaitin→164
Zvonkin→164
Levin,→164
$∞$-distributed→164
Borel→164
completely equidistributed sequence→164f
Korobov→164
Franklin,→164
Kuipers→164
Niederreiter→164
$k$-distributed→164
von Mises→165f
Copeland→165
admissible numbers→165
Bernoulli sequences→165
Wald→165
Lebesgue measurable→165
computability→165
Church→165
effective algorithm→165
Kolmogorov→165
Besicovitch→165
Howard,→165
Loveland→165f
Herzog→166
Owings,→166
Chaitin→166
Martin-L\"of→166
Popper→166
Schnorr→166
species of measure zero→166
Brouwer→166
equidistributed→166
$k$-distributed→166f
$\mathop {\char P\char r}$→166f
$∞$-distributed→167f
maximum-of-$k$ test→167
gap test→167
run test→167
coupon-collector's test→167
Franklin→167f
Mahler,→167
Weyl→168
exponential sums→168
white sequence→168
serial correlations→168
Coppersmith→168f
Loveland→169
Schmidt→169
Good→169