4/6/00
15
Von Neumann & co. estimates
(1947-1951)
v
v
“For a ‘random matrix’ of order n the expectation value
has been shown to be about n”
v
Goldstine, von Neumann
v
v
“… we choose two different values of
k
, namely n and
Ö
10n”
v
Bargmann, Montgomery, vN
v
v
“With a probability ~1 …
k
< 10n”
v
Goldstine, von Neumann
v
v
v
X
¥
P(
k
<n)
»
0.02
P(
k
<
Ö
10n)
»
0.44
P(
k
<10n)
»
0.80
