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The Random Thought Megathread

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The series for vibrations on a string is 1, 1/2, 1/3, 1/4.... The sum of this series, the Harmonic series, is infinity.

The sum of the reciprocal of the SQUARES is equal to pi squared over six, a very clever proof by Euler when he was a young man made him famous way back when.

I dont think anybody is even discussing the sum of reciprocal cubes, but I think about ways to get started.
Does it have anything to do with cakey??? drool...
 
Goin' downtown,
gonna show her my ding dong.......
photo-5.jpg


I showed you mine, now you show me yours. :whistle:
 
I paid off some debt and things are going well for me. There’s nothing I can think of right now that’s an upcoming problem. Before today when things got taken care of, sometimes I’d be laughing and forgetting my troubles and I’d remember and the laughter would fade but right now things are all good and it’s scaring the **** out of me. I’m waiting for something to go horribly wrong.
 
I paid off some debt and things are going well for me. There’s nothing I can think of right now that’s an upcoming problem. Before today when things got taken care of, sometimes I’d be laughing and forgetting my troubles and I’d remember and the laughter would fade but right now things are all good and it’s scaring the **** out of me. I’m waiting for something to go horribly wrong.
Count your fingers....:D...
 
I'm 21300 days old and still didn't find the very last digit of PI. :banghead:
Maybe I'll have to wait till I'm 31416 days old?

Well, I hate to break the bad news to you but......there is no last digit to pi. Whats worse, we cant even give a formula for pi in terms of algebraic operations (addition, subtraction, multiplication, division, powers,etc). Pi is a member of a very elite special numbers called transcendental numbers. It is very hard to prove a number is actually transcendental despite the fact that there are more transcendental numbers on the number line (or above it as certain folks like myself say) than there are integers or rational numbers.

Transcendental number - Wikipedia
 
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Well, I hate to break the bad news to you but......there is no last digit to pi. Whats worse, we cant even give a formula for pi in terms of algebraic operations (addition, subtraction, multiplication, division, powers,etc). Pi is a member of a very elite special numbers called transcendental numbers. It is very hard to prove a number is actually transcendental despite the fact that there are more transcendental numbers on the number line (or above it as certain folks like myself say) than there are integers or rational numbers.

Transcendental number - Wikipedia
So I can stop trying to find e and Φ as well? :roflmao:
 
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