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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,365

What what?

**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

i didn't understand what you wrote.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Back engineering is a technique that engineers understand well but mathematicians hardly know about. You have the finished product and go backwards to how it might have been done.

**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

so how did you do the pi^pi-e^e?

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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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The last one? That was done by one of the most powerful techniques in experimental math, PSLQ or positive least squares.

**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

so how would you do it?

*Last edited by anonimnystefy (2012-02-08 10:39:58)*

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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It is an extension of some of Euler's ideas on the solution of diophantine equations. He was working with a x + b y = c. Sort of an extended GCD algorithm. In the 70's or so they came up with LLL and PSLQ to solve this type a1* x1 + a2 * x2 + a3 * x3 +...+an * xn = c.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

so?any answers?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Answers to which one?

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

0.017762163722156552067?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Hi anonimnystefy;

Nothing yet.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

in my opinion it's hard,but see if yu can get it.

in the mean time here's one even harder:0.29977599355844844563234443049951906581358866499641...?

i posted as many digits as i could get.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,365

Hi anonimnystefy;

I am not getting that one either.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

hi bobbym

actually,here's a **few** more digits:

0.29977599355844844563234443049951906581358866499641489949707862078059152596041216421265809451

6094902711164020421657297267673549884938261603294324054500194908965630258177721600952836739175

5149695477449092252034688251910467768225531534088662290182738616730546250844855155711647925258

2330470463253896248312308072881794253381839936711713184619337736348047674897993991886873152132

7826518152107053749073376916231945543189818030428647304126447316591175154443043028723377301797

6459734906924101478815546638631053580499623523286387849689392733160167965139088455255789382560

0059518372712895893509952518796980644178881296098547845614834034705194603802206664301045611168

5697538558976381241223376873363791493273242269421132813648897323851308035036529289778910725977

5620701905130976538509041739201655778287519565997104672077963814551699571069601102896558588073

9926077395153929315358718081039928810510551511740285332318472892623121462418095808211853962462

6347990919222038813789274551883290164872671192324239055523590787507973294487091965553648655773

2017202959024424182699421705205247547854868647023229015464423666984978983261878771378509869754

3343986386959843729551344552535187786160978001883159103454849246709633991930861195797136059648

5274267804086277104386888106851391681465577273750777205585789541599669630503693124057915691838

2876578162080426985715913169323554441639594137148213975746519763419342748674078610210962179962

6331155277926252129235363984052690492584538617879872329351559391868436152953208949006096462967

4763127756545017326574619977588473880791212467519688924112161201983668309847972170895020331612

766657998684420173941823557523893...?

*Last edited by anonimnystefy (2012-02-09 03:45:41)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,365

Hi;

More digits are not helping.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

i gave you enough.if you give up let me know.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,365

Hi anonimnystefy;

A few more tries and then I will.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

anything yet?

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,365

Hi;

Do you think I have been working on it all this time? I forgot about it. Somebody asked about Markov chains and that is what I have been preparing.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

I hate that guy whoever he iI.i mean,who can possibly have something to ask about Markov chains?

And I know you haven't been working on these but now you can

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,365

Nope, looked at my notes and did not get that one.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

What about the one before?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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That one too, guessing them is not as easy as putting them together.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

Ok,let me know when you finish them.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,365

Hi;

I am finished with them.

1) I tried by hand many different structures.

2) The PSLQ algorithm that solved some of the others, choked on those.

You can post the answers and add new ones.

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

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**