/sci/ - Best Equations

Name: Anonymous 2006-11-04 21:40

In the spirit of the best constants thread, post what you think is the best (most beautiful, useful, elegant, etc) equation from math and physics.

My suggestion: Euler's formula:

e^(ix) = cos(x) + i sin(x)

especially because when x=π, e^(iπ) + 1 = 0 (Euler's identity)

Name: Anonymous 2006-12-06 9:32

y = ∫f(x) dx

Simple and most useful. Can't get enough of that ∫. ^O^

Name: Anonymous 2006-12-06 10:15

>>41
youre dumb.

Name: Anonymous 2006-12-08 7:21

∫ looks like a flaccid penis

Name: Anonymous 2006-12-08 9:25

8========================================================================================================> looks like my erect penis

Name: anonymous 2006-12-10 18:51

This ones a really neat thing to graph that I found out on my own:

csc(e^x)

Name: Winston Smith 2006-12-10 20:24

(of "1984")
My least favorite equation: 2+2=5
My favorite equation: 2+2=4

Name: Anonymous 2006-12-12 8:16

c^n = a^n + b^n with n > 2 and c,a,b,n element of N has no solvations.

Name: Anonymous 2006-12-12 9:04

2+2=5 for large values of 2

Name: Anonymous 2006-12-12 9:05

2+2=5 for large values of 2

Name: Anonymous 2006-12-12 14:49

I don't know if physicists use this, but chemists certainly do:

∆G = ∆H - T∆S

Name: Anonymous 2006-12-13 19:02

S = k logW
(Boltzmann Tomb Equation) http://www.lecb.ncifcrf.gov/~toms/icons/aust2002/photos-by-tds/all/pictures/P7140524.JPG

Name: Anonymous 2006-12-14 16:21

2+2=4

Name: Anonymous 2006-12-14 22:27

V=iR

Name: Anonymous 2006-12-14 22:29

F=ma

Name: Anonymous 2006-12-15 4:27

As a consequence of Euler's identity, we also have:
π = -i*ln(-1)

Name: Anonymous 2006-12-15 12:32

Full Metal Alchemist!

My favourite theorem is a = b && b = c => a = c

Name: Anonymous 2006-12-15 12:48

>>56
my favorite theorem is

A or ~A

Name: Anonymous 2006-12-18 15:56

(sin x) / n = 6

Name: Anonymous 2006-12-20 8:39

Ohm's Law, I = V/R, was pretty handy for all the ohmic conductors, but won't do shit for computer transistors, or heated metals etc.
Still pretty cool though

Name: Anonymous 2006-12-21 18:39

>>2

Now you're just fucking with me.

Name: Anonymous 2006-12-22 23:02

z = 1/(x^2 + y+2 +1)

Just graph this... Trust me.

Name: Anonymous 2006-12-22 23:02

*z = 1/(x^2 + y^2 +1)

bleh, y^2

Name: Anonymous 2006-12-23 20:58

>>62

WHEN YOU SEE IT YOU'LL SHIT BRICKS

Name: Anonymous 2006-12-24 15:13

>>63

It's just 1/(1+x^2) rotated around in a circle...

Name: Anonymous 2006-12-26 2:38

E=MC^2

Name: no 2007-01-11 6:15

i heally fuckin hate 2+2=5 because it has this horrible "significant figures" feel

Name: Anonymous 2007-01-12 19:34

x=0.999...
10x=9.999...
10x-x=9.999... - 0.999...
9x=9
x=1

Amazing that, when you think you've figured math out, there is always something to not make sense with.

Name: Anonymous 2007-01-12 20:00 (sage)

>>67
that makes perfect sense, gb2 high school math

Name: Anonymous 2007-01-14 6:16

>>13
Honestly, you really do have to give it up the place where it all started.

However, I think Euler's takes the cake for pure beauty.

Of course another favorite ∫e^x=(lol immature humor)

Name: Anonymous 2007-01-16 3:38

>>69

long S is looooooooooooooooooong.

Name: Anonymous 2007-01-16 4:23

>>67
1/3 = .3333333...
3 X .33333... = .99999...
hence 3 X 1/3 = .99999...

Name: Anonymous 2007-01-19 11:23

3 X 1/3 = .999999... = 1

Name: Anonymous 2007-01-19 13:28

No, that's only in the sense that .9999... is so close to 1 that it is one.
Yes, I know .3333 repeating is roughly equivalent to 1/3, and 1/3 * 3 = 1, but that does not mean .9999 repeating equals 1. You are just saying that it is so close to 1 that it might as well be one.

You see, .333 repeating =/= 1/3. .3333 repeating is just infinately close to 1/3.

Name: Anonymous 2007-01-19 15:21

>>73
Go fuck yourself in the ass. 'Infinitely close' (note the spelling, dumbfuck) has no meaning other than as 'equal'.

Name: Anonymous 2007-01-23 1:48

∫(-1 -> 1)(sqrt(1+(d/dx(sqrt(1-x^2)))^2)dx) = π

I know it's relatively simple, it's the arclength of a circle of radius 1 on the positive end. If it's actually written in proper form it's a lot cooler looking.

Name: Anonymous 2007-01-23 3:14

>>72
sucks

Name: Anonymous 2007-01-23 3:15

>>74
Yeah it does, you ever heard of asymptotes?

Name: Anonymous 2007-01-23 4:06

AREA OF A SQUARE:

a = x^2, where x is the side of a square.

Name: Anonymous 2007-01-23 5:06

∫(Nigga^3) dNigga = (2/3)(Nigga)^2 = (2/3)(Nigga)(Nigga)

NIGGA NIGGA NGIGAG NIAGNAIGNAGNGIGAGAGNINIGIAGNIAGNAINGANa

Name: Anonymous 2007-01-23 7:21

H(Psi) = E(Psi)

Best Equations

1 Name: Anonymous 2006-11-04 21:40

41 Name: Anonymous 2006-12-06 9:32

42 Name: Anonymous 2006-12-06 10:15

43 Name: Anonymous 2006-12-08 7:21

44 Name: Anonymous 2006-12-08 9:25

45 Name: anonymous 2006-12-10 18:51

46 Name: Winston Smith 2006-12-10 20:24

47 Name: Anonymous 2006-12-12 8:16

48 Name: Anonymous 2006-12-12 9:04

49 Name: Anonymous 2006-12-12 9:05

50 Name: Anonymous 2006-12-12 14:49

51 Name: Anonymous 2006-12-13 19:02

52 Name: Anonymous 2006-12-14 16:21

53 Name: Anonymous 2006-12-14 22:27

54 Name: Anonymous 2006-12-14 22:29

55 Name: Anonymous 2006-12-15 4:27

56 Name: Anonymous 2006-12-15 12:32

57 Name: Anonymous 2006-12-15 12:48

58 Name: Anonymous 2006-12-18 15:56

59 Name: Anonymous 2006-12-20 8:39

60 Name: Anonymous 2006-12-21 18:39

61 Name: Anonymous 2006-12-22 23:02

62 Name: Anonymous 2006-12-22 23:02

63 Name: Anonymous 2006-12-23 20:58

64 Name: Anonymous 2006-12-24 15:13

65 Name: Anonymous 2006-12-26 2:38

66 Name: no 2007-01-11 6:15

67 Name: Anonymous 2007-01-12 19:34

68 Name: Anonymous 2007-01-12 20:00 (sage)

69 Name: Anonymous 2007-01-14 6:16

70 Name: Anonymous 2007-01-16 3:38

71 Name: Anonymous 2007-01-16 4:23

72 Name: Anonymous 2007-01-19 11:23

73 Name: Anonymous 2007-01-19 13:28

74 Name: Anonymous 2007-01-19 15:21

75 Name: Anonymous 2007-01-23 1:48

76 Name: Anonymous 2007-01-23 3:14

77 Name: Anonymous 2007-01-23 3:15

78 Name: Anonymous 2007-01-23 4:06

79 Name: Anonymous 2007-01-23 5:06

80 Name: Anonymous 2007-01-23 7:21

Name: Anonymous 2006-11-04 21:40

Name: Anonymous 2006-12-06 9:32

Name: Anonymous 2006-12-06 10:15

Name: Anonymous 2006-12-08 7:21

Name: Anonymous 2006-12-08 9:25

Name: anonymous 2006-12-10 18:51

Name: Winston Smith 2006-12-10 20:24

Name: Anonymous 2006-12-12 8:16

Name: Anonymous 2006-12-12 9:04

Name: Anonymous 2006-12-12 9:05

Name: Anonymous 2006-12-12 14:49

Name: Anonymous 2006-12-13 19:02

Name: Anonymous 2006-12-14 16:21

Name: Anonymous 2006-12-14 22:27

Name: Anonymous 2006-12-14 22:29

Name: Anonymous 2006-12-15 4:27

Name: Anonymous 2006-12-15 12:32

Name: Anonymous 2006-12-15 12:48

Name: Anonymous 2006-12-18 15:56

Name: Anonymous 2006-12-20 8:39

Name: Anonymous 2006-12-21 18:39

Name: Anonymous 2006-12-22 23:02

Name: Anonymous 2006-12-22 23:02

Name: Anonymous 2006-12-23 20:58

Name: Anonymous 2006-12-24 15:13

Name: Anonymous 2006-12-26 2:38

Name: no 2007-01-11 6:15

Name: Anonymous 2007-01-12 19:34

Name: Anonymous 2007-01-12 20:00 (sage)

Name: Anonymous 2007-01-14 6:16

Name: Anonymous 2007-01-16 3:38

Name: Anonymous 2007-01-16 4:23

Name: Anonymous 2007-01-19 11:23

Name: Anonymous 2007-01-19 13:28

Name: Anonymous 2007-01-19 15:21

Name: Anonymous 2007-01-23 1:48

Name: Anonymous 2007-01-23 3:14

Name: Anonymous 2007-01-23 3:15

Name: Anonymous 2007-01-23 4:06

Name: Anonymous 2007-01-23 5:06

Name: Anonymous 2007-01-23 7:21