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### Re: Things You've Been Doing Other Than CGoL

Posted: **May 1st, 2018, 8:37 am**

by **Macbi**

muzik wrote:What is the equation of the curve present in x^y=y^x?

You can't define it without the

Lambert W function, which is defined as the inverse function to the function that sends x to xe^x. The you can describe that curve by y = W(-log(x)/x)x/log(x). (The logarithms are base e, naturally.)

### Re: Things You've Been Doing Other Than CGoL

Posted: **May 1st, 2018, 9:18 am**

by **wwei23**

Macbi wrote:muzik wrote:What is the equation of the curve present in x^y=y^x?

You can't define it without the

Lambert W function, which is defined as the inverse function to the function that sends x to xe^x. The you can describe that curve by y = W(-log(x)/x)x/log(x). (The logarithms are base e, naturally.)

That would be y = W(-ln(x)/x)x/ln(x).

### Re: Things You've Been Doing Other Than CGoL

Posted: **May 1st, 2018, 9:56 am**

by **Macbi**

wwei23 wrote:Macbi wrote:muzik wrote:What is the equation of the curve present in x^y=y^x?

You can't define it without the

Lambert W function, which is defined as the inverse function to the function that sends x to xe^x. The you can describe that curve by y = W(-log(x)/x)x/log(x). (The logarithms are base e, naturally.)

That would be y = W(-ln(x)/x)x/ln(x).

Most mathematicians I know use "log" to mean base e (or base 2 in information theory or computer science). Using "log" to mean base 10 is uncool because 10 is just an arbitrary number with no mathematical significance. So I avoid using "ln" because if I did use it I'd be worried that people would think that I had deliberately avoided using "log", and that therefore I must be the uncool kind of person who thinks that "log" means base 10.

### Re: Things You've Been Doing Other Than CGoL

Posted: **May 29th, 2018, 12:51 am**

by **Goldtiger997**

I managed to solve a rubik's cube in my left hand while simultaneously juggling two balls in my right hand. It took 2 minutes and 31 seconds. That was after about 15 tries.

Has any one else tried something like this before, or at least attempted to perform two skills/hobbies at once? Another one I recently did was fold a fairly neat paper crane in my left hand while juggling two balls in my right.

Next, I need to try doing it juggling rubik's cubes not balls, or with a 4x4 (I doubt that one)

### Re: Things You've Been Doing Other Than CGoL

Posted: **May 29th, 2018, 7:51 am**

by **Gamedziner**

Goldtiger997 wrote:Next, I need to try doing it juggling rubik's cubes not balls, or with a 4x4 (I doubt that one)

How about solving the Rubik's cube

*while* juggling it?

### Re: Things You've Been Doing Other Than CGoL

Posted: **May 29th, 2018, 7:56 am**

by **Majestas32**

...but ln has 2 letters while log has 3...

### Re: Things You've Been Doing Other Than CGoL

Posted: **May 29th, 2018, 4:36 pm**

by **dvgrn**

Gamedziner wrote:Goldtiger997 wrote:Next, I need to try doing it juggling rubik's cubes not balls, or with a 4x4 (I doubt that one) :D

How about solving the Rubik's cube

*while* juggling it?

There's some

very recent prior art. Que Jianyu solved three 3x3 cubes while juggling them, in just over five minutes.

At the latest Gathering for Gardner I saw people solving cubes blindfolded, solving them with just their feet, and so on, but I didn't see any cube jugglers... I can juggle, and I can solve Rubik's Cubes, but I must say I'm not too tempted to try combining the two.

### Re: Things You've Been Doing Other Than CGoL

Posted: **June 5th, 2018, 10:36 am**

by **Saka**

I've recently been getting into esolangs and I made this:

https://github.com/saka29/TPPL-Interpreter

### Re: Things You've Been Doing Other Than CGoL

Posted: **July 27th, 2018, 4:48 pm**

by **gameoflifemaniac**

Right now there's a total lunar eclipse in Poland. But the clouds are hiding the moon and I'm missing something that happens once in a lifetime.

EDIT: It's over. Now it's visible, but only partial

### Re: Things You've Been Doing Other Than CGoL

Posted: **July 28th, 2018, 12:40 am**

by **wwei23**

gameoflifemaniac wrote:Right now there's a total lunar eclipse in Poland. But the clouds are hiding the moon and I'm missing something that happens once in a lifetime.

EDIT: It's over. Now it's visible, but only partial

I don't get to see it at all, the moon will be under the horizon the entire time.

### Re: Things You've Been Doing Other Than CGoL

Posted: **August 1st, 2018, 7:32 pm**

by **77topaz**

gameoflifemaniac wrote:Right now there's a total lunar eclipse in Poland. But the clouds are hiding the moon and I'm missing something that happens once in a lifetime.

EDIT: It's over. Now it's visible, but only partial

Luckily, lunar eclipses aren't really "once in a lifetime", more "once in a few years".