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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 2012-03-18 17:14:35

MathsIsFun
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Pi

I redid my page on Pi: Pi

What do you think?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

#2 2012-03-18 19:57:29

bobbym
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Re: Pi

Hi MathsIsFun;

Very good! Liked it alot.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#3 2012-03-18 20:06:44

amberzak
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Re: Pi

I love it.

Can I just say, Maths is Fun, that your website is amazing (only just found the accompanying forum) and I've been using it when I tutor to try and get my pupils to look on your website because it is so informative and easy to understand.


Don't think outside the box. Think there is no box
 

#4 2012-03-19 07:08:44

MathsIsFun
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Re: Pi

Thanks guys!

And thanks for the compliments amberzak, if there is anything lacking on the site just let me know.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

#5 2012-03-23 07:13:25

John E. Franklin
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Re: Pi

Nice pi page!,mif.  I read the 101 digits and it is perfect to how i say it since college.  no errors.
excellent work.  I love the drawings with the 1 for the radius and the 1 for the diameter.
very nice.


igloo myrtilles fourmis
 

#6 2012-03-23 12:03:34

MathsIsFun
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Re: Pi

Thanks John, it is impressive that you know the digits so well.

I could no doubt put lots more facts about Pi on the page, but I don't want to overwhelm the visitor.

However feel free to mention any fun/cool things that could be added.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

#7 2012-03-23 12:16:35

anonimnystefy
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Re: Pi

I watched a video on YouTube channel called numberphile.it is about some rolling balls and pi.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#8 2012-03-23 12:23:29

bobbym
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Re: Pi

One interesting fact is that Dr Matrix wrote down the millionth digit of pi and gave it to Martin Gardner before it was calculated. He said it would be a five and he was right.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#9 2012-03-23 12:25:58

anonimnystefy
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Re: Pi

He had a 1 in 10 chance of being right.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#10 2012-03-23 12:26:54

bobbym
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Re: Pi

Yes, he had a 9 in10 of being wrong.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#11 2012-03-23 12:29:44

anonimnystefy
Real Member

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Re: Pi

Obviously -.-"


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#12 2012-03-23 12:30:53

bobbym
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Re: Pi

I do not think he guessed or pulled a Lemon Drop Kid.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#13 2012-03-29 12:35:23

John E. Franklin
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Re: Pi

Just out of interest of probability of pi digits, here is a fact:
Somewhere between the 600th and 800th digit, there are
six nines in a row.  I think this is quite curious since you
might expect only five in a row or four since 600 and 800
have only 3 digits: 6 0 0 and 8 0 0.  But six nines in a row
is quite amazing to me.  And another interesting fact is that
pi has no zeros in it until about the 32 or 33rd digit.   This is
also interesting and shows how randomness forms clumps and
the lack of clumps.  For example if pi in binary was 11.00110011001100110011, that
would be quite interesting as well, since there are clumps of pairs, but
anyway I'm just rambling now... See yah.


igloo myrtilles fourmis
 

#14 2012-03-29 17:54:26

MathsIsFun
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Re: Pi

Yes, we should expect randomness to give unusual results shouldn't we?

But then we can't be sure the digits of Pi are random.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

#15 2012-03-30 12:49:54

John E. Franklin
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Re: Pi

Well 1st pi might not be exactly random since it is a useful number in our base-10.  However, given for example a twenty sided die that is marked 1 to 10 twice over to fill the the twenty sides.   Now roll the die a thousand times.  I would expect that you might get 4 or 5 of a number in a row, but probably not 6 or 7 for only a thousand rolls.  But "overclumping" in randomness does occur now and then and it is normal I guess.  But if patterns emerged more often than statistics say it should, then we have found an unusual clump in the randomness.  However, if you search hard enough for patterns of various kinds, you can probably find something in anything, like say something like, every 4th number formed such and such a pattern like counting from 1 to 7, but you have to skip by 4's, so the more patterns you look for, the more patterns you will find.  It is kind of silly I know...

Last edited by John E. Franklin (2012-03-30 12:50:37)


igloo myrtilles fourmis
 

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