[math-fun] Two quartically convergent sums and a(n old?) riddle
Old business: I asked,
So, can you construct any circular arc which divides a given disc into areas 1:2 ?-)
The only ones I know are full circles of radius sqrt(1/3) or sqrt(2/3), internally tangent to the propositus. Unlikely new, but interesting: inf ==== k \ k 4 z 1/4
theta (2 z, q ) = theta (-, q ) - 1 / 2 3 2 ==== k = 0 1 -- k z 4 2 inf theta (--, q ) z ==== 4 k ------ \ 2 4 %pi log(q) --------------- = 2 theta (2 z, q ) - sqrt(- ------) %e / k 3 log(q) ==== 2 k = 0
Of equally dubitable novelty: Q: How is Margaret not a gem?
Q: How is Margaret not a gem?
When she's shortened and backward? Wait a minute, that's when she IS a gem... Thane Plambeck 650 321 4884 office 650 323 4928 fax http://www.qxmail.com/home.htm
Of equally dubitable novelty:
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On Fri, 25 Apr 2003 at 12:45:18 -0700 (PDT) R. William Gosper queried:
Of equally dubitable novelty:
Q: How is Margaret not a gem?
I got half of it, and Rich got the other. You and Asimov should collaborate on puzzle creation! Got me to thinking that it is a shame that enutrof means nothing. Wouldn't it be nice if some kind of new Esperanto would combine spelling and meaning, so that the word meaning "bad" would be spelled "doog" and you could easily gnorw a wrong. Neutral words would have to be palindromic - shades of greyyerg. In order to maintain pronouncability spelling would change dramatically, probably alternating vowel and consonant. Hawaiian would be a good prototype. How about a number representation system in which xyz * zyx = 1? Or any other relationship? Hilarie
participants (3)
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R. William Gosper -
Thane Plambeck -
The Purple Streak, Hilarie Orman