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## The World's Most Beautiful Equations?137

music4l numb3rs asks: "'An exhibition of the world's most beautiful equations...and some of the ugliest ones too' is how the artist Justin Mullins describes his upcoming show in London. He's exhibiting a number of old favourites such as Maxwell's equations and Euler's relation plus some I've not come across such as entanglement. As for ugliness, he points to the four color theorem. My question to contemplate over the holiday period is: what do Slashdot readers think are the most beautiful equations, and the most ugly ones too?"
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## The World's Most Beautiful Equations?

• #### Does it really matter? (Score:3, Interesting)

on Monday December 26, 2005 @07:11PM (#14341912) Journal
I looked at the Four-colour graph and found it .. beautiful.

From an infinate number of maps to 633 maps. The graph its like browsing through freshmeat or Wikipedia and discovering a world of variety and viewpoints. (sorry it reality does not meet some your expectations of a more "beautiful" number such as 0, 1 or 1,000)

Ugly? I find the the simple formulas. Try explaing what these mean to a child without resorting to "Its because its by definition..." (eg. ALEPH ONE) or having to explain some really complex background on the subject (STARBIRTH, what does pi have to do with this? What is with using the Boltzmann constant?).
• #### This has been asked before... (Score:2, Interesting)

<tdhopper@gm[ ].com ['ail' in gap]> on Monday December 26, 2005 @08:01PM (#14342085)
Basically on this post [slashdot.org]. Well, that post asked users favorite equations, not necessarily beautiful. That leads to another interesting question - are your favorite equation and your most beautiful equation the same thing? I just finished a semester of Electrity and Magnetism, and I'm a big fan of Maxwell's eqastions now.
• #### Re:e^(i*pi) = -1 (Score:3, Interesting)

on Monday December 26, 2005 @08:03PM (#14342097)
I prefer the actual Euler's formula instead of the special case. e^x = cosx+jsinx
• #### 1 = 2... (Score:1, Interesting)

on Monday December 26, 2005 @08:18PM (#14342147)
a = b a^2 = ab a^2 - b^2 = ab - b^2 (a-b)(a+b) = b(a-b) a + b = b b + b = b 2b = b 2 = 1
• #### Re:e^(i*pi) = -1 (Score:2, Interesting)

on Monday December 26, 2005 @08:23PM (#14342162)
e^jx that is. I should learn to preview.
• #### Re:e^(i*pi) = -1 (Score:5, Interesting)

<`ten.yevadnai' `ta' `nai'> on Monday December 26, 2005 @08:51PM (#14342272)

No no no.

e^(i*pi) + 1 = 0

There. Fixed your equation. Now it contains all five principal numbers: e, i, pi, 1, and 0.
• #### What about chemistry (Score:2, Interesting)

<hvnerd@yahoo.com> on Monday December 26, 2005 @09:08PM (#14342326)
Combustion of propane and oxygen.
CH4 + 2O2 --> CO2 + 2H2O

• #### 1+3+3=7 (Score:2, Interesting)

on Monday December 26, 2005 @09:24PM (#14342390) Homepage
Sorry if already said, but: 1+3+3=7
• #### Lagrange's Theorem (Score:3, Interesting)

on Tuesday December 27, 2005 @12:30AM (#14343087)
Not an equation, but I find Lagranges Theorem (If H is a subgroup of G, then the order of H divides the order of G) to be beautiful in that it is not very obvious at first why this should be true.

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