What's your favorite transcendental number?

[Fredrik]

I'm split between e and log(2).

[Ichor]

Pi

[myk]

666. No, wait... was that 616?

[insertwackynamehere]

777

[Dr. Zin]

42

[Grazza]

The one I gave the name koppa.

Note to the last few posters: integers are not transcendental.

[Dco16]

shutup e is the fucking shizz lol u retards.

[Bloodshedder]

Liouville number for me.

[Fredrik]

Grazza said:

The one I gave the name koppa.

I forgot about that, but now I've written a program that evaluates it to arbitrary precision (using the first method). Below are 1,000 decimal digits (scream for more digits and/or other bases).

0.
5078554863 5052913334 8018204068 6250720909 3737812759
1359054584 6224353443 5417609400 9933952836 1571607700
1019481268 6173710753 5884002309 1835814235 1671100693
3703741281 8005302758 4024366496 9658671914 1063725130
8050931265 3754875890 6387124399 2932553236 4308701823
2528926477 1098520920 7416350967 6693132984 6207102151
3482656770 2306824342 0100011530 8090974398 8104131066
6784825352 7630286444 6144018226 9154664271 1756450990
1613905352 8678253220 3915418842 1669797425 2125635165
0378939653 1168257435 0320581359 2321624238 0579925876

0592808812 2490023849 9281157877 6737473510 9568758661
9458645569 4416492579 2225968287 4945995470 8402924385
1458978718 1564610393 4120350862 6967856111 2483955446
6746919322 7435663860 1323062819 5103470286 1474631570
8752827172 0465133939 1934451225 4784969180 6941073042
6852296678 9194271496 1724416862 0000780803 9026611242
5728177804 3242606767 2737052799 1562981650 2499680777
0499114795 4745092230 9229848363 8906589243 2787633403
9652891286 3061733415 0975246781 4487450090 8929530072
4468896769 5668812573 6970255129 7097854429 6972814300

Did you check its continued fraction representation?

[Lord FlatHead]

Nerd.

[Kristian Ronge]

I was split between e and π, so I settled for e^π.

[Remilia Scarlet]

Chaiten's Constant.

[SyntherAugustus]

A number that is x times y and equals to z.

[Infinite Ammunition]

gelfond-schneider constant needs love :(

[Fredrik]

I second that. The Gelfond-Schneider theorem is one of the most beautiful in all of mathematics.

[Foofoo]

007

[Donce]

The Golden Ratio

Interestingly enough, I first read about it in astronomy magazine (yep, even galaxies are ruled by it). Then read further on the net - damn, that's my fav number.

[ducon]

Donce said:

The Golden Ratio

It’s not transcendantal, because it’s the solution of a polynomial equation.
My prefered might be Liouville’s number, aka 0.12345678910111213141516…

[Grazza]

Fredrik said:

Did you check its continued fraction representation?

No. Is it cool?

The thing I really like about this number is when you look at it geometrically. The area enclosed within a little loop between two curves (with no straight edges) is equal (up to a factor of two) to a series of little rectangular blocks underneath one of those same curves.

I should also confess that I didn't do the proof of the identity myself, but just suggested a few ideas for it. It used induction with two parameters, IIRC, and relied on a lot of terms being zero.

[andrewj]

Area of the Mandelbrot Set

[exp(x)]

I love e. I memorized it up to 2.71828182845904523536028747...


My favorite number is Euler's Constant (lower-case gamma). Nobody knows if it is even irrational. I made a t-shirt of it.

Shirt
Screen

[Submerge]

My favorite number is 527.

Erm... yeah. I don't know why, but it is.

[Fredrik]

Grazza said:

No. Is it cool?

Not really. All I can tell is that its geometric mean appears to approach Khinchin's constant (another nice number, though it's unknown whether it's irrational or transcendental).

Ajapted said:

Area of the Mandelbrot Set

Good one.

On a related note, what's your favorite transcendental function? Mine is the Gamma function.

[Job]

Euler's number.

[Udderdude]

You guys are dorks.

Everyone knows Chaitin's Constant is the best.

[myk]

Ajapted said:
Area of the Mandelbrot Set

Definitely the winner; it generates boobs and asses.

[exp(x)]

The area of the mandelbrot set isn't known to be transcendental, though, is it?

Fredrik said:

On a related note, what's your favorite transcendental function? Mine is the Gamma function.

Gamma is pretty hot. Without it, the factorial function wouldn't be continuous. I'm a fan of Riemann zeta, as well.

[Fredrik]

I thought yours would be the exponential function :P

[Doom Marine]

Fibonacci Ratio

[Xenophon]

42.