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

You are not logged in.

- Topics: Active | Unanswered

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

What what?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

i didn't understand what you wrote.

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

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.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

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

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

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.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

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.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

so?any answers?

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

Answers to which one?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

0.017762163722156552067?

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

Hi anonimnystefy;

Nothing yet.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

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.

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

Hi anonimnystefy;

I am not getting that one either.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

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)*

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

Hi;

More digits are not helping.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

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

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

Hi anonimnystefy;

A few more tries and then I will.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

anything yet?

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

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.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

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

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

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

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

What about the one before?

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

That one too, guessing them is not as easy as putting them together.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

Ok,let me know when you finish them.

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

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,726

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.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

Offline