| Title: | Mathematics at DEC |
| Moderator: | RUSURE::EDP |
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
Using a pocket calculator, starting with some reasonable number,
and iterating, it can be shown (at least to the limits of my old
Casio fx-101) that
sin(cos(x)) = x = 0.68481969
cos(sin(y)) = y = 0.76816915
tan(sin(z)) = tan(cos(tan(cos(z)))) = z = 1.5570858
There are probably more such relationships. Does anybody know any
analytical solutions?
Richard De Morgan.
| T.R | Title | User | Personal Name | Date | Lines |
|---|---|---|---|---|---|
| 714.1 | Like magnets... | AKQJ10::YARBROUGH | Why is computing so labor intensive? | Mon Jun 08 1987 12:39 | 6 |
The numbers in the previous note are known as *attractors* - note that the last one is obtained from two unrelated formulae - and there is some theory about them. If I recall aright, Doug Hofstadter discussed them in his Scientific American column and in "Metamagical Themas", his recent book. Lynn Yarbrough | |||||