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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

I am here and waiting.

**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.**

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```
>>> def pi(n):
s = Decimal()
for i in xrange(0,n+1):
s += ((-1**i)*((Decimal(1)/Decimal(5))**(2*i+1)))/((2*i)+1)
s *= 16
for i in xrange(0,n+1):
s -= 4*(((-1**i)*((Decimal(1)/Decimal(239))**(2*i+1)))/((2*i)+1))
print s
>>> pi(10)
-3.226984365524281777452846574
```

What is wrong?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

Hi;

```
>>> def pi(n):
s = Decimal()
for i in xrange(0,n+1):
s += ((-1**i)*((Decimal(1)/Decimal(5))**(2*i+1)))/((2*i)+1)
s *= 16
```

Please run that and post the answer. Then run the second piece and post that answer.

**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.**

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```
>>> def pi(n):
s = Decimal()
for i in xrange(0,n+1):
s += ((-1**i)*((Decimal(1)/Decimal(5))**(2*i+1)))/((2*i)+1)
s *= 16
print s
>>> pi(10)
-3.243720864865314995238473720
```

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

Put a parentheses around that -1.

**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.**

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```
>>> def pi(n):
s = Decimal()
for i in xrange(0,n+1):
s += (((-1)**i)*((Decimal(1)/Decimal(5))**(2*i+1)))/((2*i)+1)
s *= 16
for i in xrange(0,n+1):
s -= 4*((((-1)**i)*((Decimal(1)/Decimal(239))**(2*i+1)))/((2*i)+1))
print s
>>> pi(10)
3.141592653589793294747374859
>>> pi(100)
3.141592653589793238462643384
```

I'm so stupid.

My apologies for being late to reply. I had been dining.

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

Hi;

π = 3.14159265358979323846264338328...

So you see you have lots of digits from only 100 iterations.

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.

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Yup

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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```
>>> getcontext().prec = 100
>>> pi(100)
3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117064
>>> pi(10000)
3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117064
```

So, already a lot

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

That particular formula was used when Shanks calculated pi to 707 places without an electronic computer. He used a human one. But there was a mistake on the 527 digits so all the rest from there on are wrong. Still, it was a record that lasted until modern times and electronic computers.

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.

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Did he use himself?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

A guy called Dase was used. He was an idiot savant capable of multiplying two 100 digit numbers in his head in 5 or 6 hours. He did all the computation.

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.

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isn't 5 or 6 hours a lot?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

Yes, but it is a mistake. Shanks did the calculation in 1873 and Dase was dead by 1861 so he must have used someone else that was similar. Also, it took Dase 8 hours to multiply two 100 digit numbers.

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.

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How were such guys found/developed?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

[deleted by administrator]

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.

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Do we really need that ability?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

[administrative delete]

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.

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Why should they try to hide it? Who are they, by the way?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

The same that we discussed in the PM, among others.

[administrative delete]

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.

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Who are special then?

Those people are power greedy ones. What can happen to them if people compute faster?

Just because someone is able to compute very fast, that does not mean that he is very wise. Mere computation won't take mathematics farther.

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

Computation is a very important part of math. A point I have been trying to make since I got here. It represents a new way of thinking about things.

Mere computation won't take mathematics farther.

That is the end result of what I have been saying. Nothing could be further from the truth.

But it is only the tip of the iceberg when we talk about the hidden capabilities of a human being.

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.

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Which people are special then?

Why did you have to delete those comm?ents?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,032

They are about things that I do not wish the entire internet to see.

Special is the wrong word. Let's just say those are common abilities.

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.

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Yes, but what is special, then?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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