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**zetafunc.****Guest**

What method is that?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

It is called cfrax and I used it a long time ago.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**zetafunc.****Guest**

It is not a hand method?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

He does it by hand in this paper.

http://www.math.vt.edu/people/brown/doc/cfrax.pdf

You have to know your stuff about conjugates.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**zetafunc.****Guest**

Thank you, that was very useful! Page 5 says it all. And it requires only one use of the floor function, of the square root of an integer. Now I understand how people seem to generate these by hand, it is just like the gcd algorithm.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

Yes, it can also be mechanized easily.

There are also ways for roots of any quadratic.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**zetafunc.****Guest**

I imagine you would just generate the CF for (P + sqrt(Q)) / R, the roots of a quadratic, by doing it for the radical first then manipulating it. Or you could get the quadratic into 'iterating' form. I have only done this for the golden ratio one though.

I am hoping adriana is just still in Barcelona... maybe she is coming back on a school day. She did leave on one, after all...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

I like the method of putting the quadratic into cf form.

What the heck is she doing in Barcelona for so long? Another bf or did the guy from Cyprus follow her?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

It was just a guess, maybe she just booked a longer holiday...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

They do have internet connections there too.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

Yes, or maybe she just doesn't have the time to email me...

I'd ask Hannah if adriana is in her lessons but she hasn't talked to me in a week.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

Why would she not have time it only takes 10 minutes?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

I am not sure, fingers crossed she sends something soon...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

I hope she does too. But try to keep your mind focused on other things.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

There is not much else to focus on...

I have to go to school now, should be back in 3 hours or so.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

Okay, have a good day there. See you later.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

I am back... no news yet, unfortunately.

**zetafunc.****Guest**

I wonder if she would be less attached to her BF or wanted to break up with him more if I'd done more with adriana, or at least attempted to... for instance, whenever she had something on her face, like an eyelash, she'd always let me get it off for her, thereby signifying a good level of trust, whereas I think most people would try to brush it off themselves. I will try not to be so reluctant again...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

Definitely you should respond to everything concerning them with a take charge attitude. You would have had more fun but it would not prevent what happened.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

How come?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

Had you developed a deeper relationship with her it would not last. That type does not like commitment. It would have lasted a short time and she would have caused a breakup. You would have been devastated.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

She has 'stayed' with her BF for 6 months though...

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

Is that staying with him? Do you mean while he was in Cyprus?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**zetafunc.****Guest**

Yes. Although, it is only barely staying with him. She started it, and continued it 6 months later, performing for him every week on webcam in those 24 weeks or so.

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

That is not staying with him. She can not be loyal or faithful. I told you about my experience with someone just like her.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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