Can Equations Be Aesthetic Art?

In summary: I came to the conclusion that I could not decide and needed to see the back side as well. So I went around the table - the other way around than usual. I just wanted to make it short and effective, but alas, that was not meant to be. I had to walk twice around the table and as I came near the front again, I had to back off and start over. I was so focussed, I didn't even notice the other people at the table, not even that the music had stopped. The third time I came around the table, I realized that the girl had already turned away from me and I saw her boyfriend. He was looking at me with this very unfriendly look ... :uhh
  • #36
21awlt0.png

"... It only remained to write the book out... I worked at it from 10 to 12 hours a day for about eight months in the year, from 1907 to 1910" (the work having started about 1900) "..- the manuscript became more and more vast, and every time that I went out for a walk I used to be afraid that the House would catch fire and the manuscript get burnt up. It was not, of course, the sort of manuscript that could be typed, or even copied. When we finally took it to the University Press, it was so large that we had to hire an old four-wheeler for the purpose... The University Press estimated that there would be a loss of £600 on the book". After obtaining various generous contributions "the remaining £100 we had to find ourselves. We thus earned minus £50 each by ten years' work. This beats the record of Paradise Lost." (The Autobiography of Bertrand Russell 1872 to 1914)

However click theresultofthisivorytowerresearchhasfoundmanypractical applicationsandisevenusedbyeconomistsprovingyetagainthat contd. on p94(Edit I have now read the rules more carefully and see this creative selection and copying is not according to them, but maybe there are things some of you might like to know. :oldbiggrin: These symbolic logic pages have an appearance different from ordinary math, very impressive when you don't know what they mean. But since the competition has to be in latex, and as I have just spent an hour failing to create two lines of latex, and they were only a modification of one line by someone else, :blushing: I probably won't submit anything else.)
 
Last edited:
  • Like
Likes Demystifier, ohwilleke and Greg Bernhardt
Science news on Phys.org
  • #37
##d^2=0##
 
  • Like
Likes Demystifier and fresh_42
  • #38
martinbn said:
##d^2=0##
Finally an equation which I exactly understand! :wink:
 
  • Like
Likes Pi-is-3, Demystifier and martinbn
  • #39
One of Euler's identities regarding the relationship between exponential and trigonometric functions

##\tan\theta = -i (\frac{e ^{i\theta} - e ^{-i\theta }}{e ^{i\theta} + e ^{-i\theta }})##
 
  • Like
Likes Charles Link and Ygggdrasil
  • #40
martinbn said:
##d^2=0##
Earlier today I was wondering why nobody had put this already. :wink:
 
  • Like
Likes martinbn
  • #41
Orodruin said:
Earlier today I was wondering why nobody had put this already. :wink:
I would quote the "One cross each!" scene here, but some people might feel offended, so I don't insert the corresponding video clip.
 
  • #42
fresh_42 said:
I would quote the "One cross each!" scene here, but some people might feel offended, so I don't insert the corresponding video clip.
Who could be offended by classic Monty Python scenes? Oh, wait! There was that entire bout with the church over that one ...
 
  • #43
I attempted to submit an equation for the aesthetic-equation contest. Here's another try:
upload_2017-9-22_13-42-25.png
 
  • Like
Likes Greg Bernhardt
  • #44
1=1:biggrin:
 
Last edited:
  • #45
πππ
 
  • #46
If someone is offended by a Monty Python scene, it just means the scene is accurate.
 
  • Like
Likes Imager, ibkev and NFuller
  • #47
My equation, in a separate post to allow unbiased voting:

##\nabla^2 = \Delta##
 
  • Like
Likes Pi-is-3, Demystifier, MexChemE and 7 others
  • #48
##\overbrace{\smile}^{\theta\theta}##
 
  • Like
  • Haha
Likes Pi-is-3, Greg Bernhardt, member 587159 and 9 others
  • #49
$$\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right)\ \mathrm dx = 4\pi \operatorname{arccot} \sqrt{\phi}$$.

Where ##\phi = \dfrac{1+\sqrt{5}}{2},## is our dear golden ratio.
 
  • Like
Likes Pi-is-3, Charles Link and (deleted member)
  • #50
Not for contest :)

$$\int_{0}^{1}{x^{2} - 1 \over \ln{x}}\,d x =
\int_{0}^{1}\int_{0}^{1}{x^{t + 1} + x^{t}}\, dx \ dt$$
 
  • #51
mfb said:
My equation, in a separate post to allow unbiased voting:

##\nabla^2 = \Delta##

That is clever, I like it.
 
  • #52
mfb said:
##\nabla^2 = \Delta##
I always write ##\nabla^2## in order to avoid confusion with small but finite differences ... Does that make me weird?
 
  • #53
I regret that I didn't submit ##\sum_{k=1}^{\infty} k = \frac{-1}{12}##
 
  • Like
Likes Demystifier and fresh_42
  • #54
One of the most important results in mainstream physics:

[tex] \psi = e^{i\alpha} \phi \Rightarrow \hat{\psi} = \hat{\phi} [/tex]
 
  • #55
Math_QED said:
I regret that I didn't submit ##\sum_{k=1}^{\infty} k = \frac{-1}{12}##
And I'm glad you didn't. This weird sum shows up on PF far too often already o_O
I regret a little that I didn't take ##2^n+7^n+8^n+18^n+19^n+24^n=3^n+4^n+12^n+14^n+22^n+23^n##, the best lesson on induction I've ever seen.
 
  • Like
Likes member 587159
  • #57
mfb said:
I guess you can solve that equation for possible values of n...

Here is a plot
Yes, but the interesting point is behind the formula: who found that, how, and even more why? Did they use a mainframe and simply tried? And how much has someone to drink before he tackles such an undertaking. Strange.
 
  • #58
A computer should find something like that quickly. Assign prefactors of -1 (left side), 0 (don't use) or 1 (right side) and find a set that fits for n from 0 to 5.

325 = 850 billion combinations if you use 1 to 25, but most of these combinations don't need to be considered.
 
  • #59
I prefer a political statement; the flow of water is power. (Sorry, no LaTex here).

H2O = m·c2
 
  • Like
Likes dwunder
  • #60
[tex]
\left( \frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\cdots\right)=1
[/tex]
 
  • Like
Likes jfizzix, stoomart, Ygggdrasil and 1 other person
  • #61
[tex] \arctan \frac{1}{x}=\frac{\pi}{2}-\arctan x[/tex]
 
  • Like
Likes Pi-is-3 and Charles Link
  • #62
The ideal gas law
[tex]PV=nRT[/tex]
 
  • Like
Likes diogenesNY and Charles Link
  • #63
$$\frac {\lambda}{2 \pi}=\frac {\hbar}{mc}\\$$
 
  • Like
Likes dwunder and Buffu
  • #64
I like the Planck blackbody function: ## \\ ## ## L(\lambda,T)=\frac{2 h c^2}{\lambda^5 (e^{\frac{hc}{\lambda k_b T}}-1)} ##.
 
  • Like
Likes dwunder and Buffu
  • #65
## E=IR ##

Clean lines. Beautiful simplicity, yet breathtakingly utilitarian.
Like a cold beer on a hot day!

submitted for your approval,
diogenesNY

(I previously cited Ohm's law in a similar thread some years ago... my opinion remains unchanged... although I did have to figure out how to use latex for this one)
 
Last edited:
  • Like
Likes MexChemE and Buffu
  • #66
Ygggdrasil said:
##3987^{12} + 4365^{12} = 4472^{12}##
Ha. Actually pretty easy to disprove.
 
  • Like
Likes Charles Link
  • #67
scottdave said:
Ha. Actually pretty easy to disprove.
A numerical computation of it shows it doesn't miss by much. Fermat's last theorem says that it can't be equal, but it's much closer than I expected.
 
  • #68
3987 and 4365 are divisible by 3, therefore their 12th powers are divisible by 3, same for the sum. 4472 is not divisible by 3, and taking the 12th power doesn't change that.
 
  • Like
Likes scottdave, Baluncore and Charles Link
  • #69
Charles Link said:
A numerical computation of it shows it doesn't miss by much. Fermat's last theorem says that it can't be equal, but it's much closer than I expected.
Code:
 3987^12 = x = 16134474609751291283496491970515151715346481.
 4365^12 = y = 47842181739947321332739738982639336181640625.
       x + y = 63976656349698612616236230953154487896987106.
 4472^12 = z = 63976656348486725806862358322168575784124416.
   x + y - z =  error =  1211886809373872630985912112862690.
So, it is not out by much, only by about 1.2 x 10^33.
 
  • Like
Likes maline, Charles Link and stoomart
  • #70
diogenesNY said:
## E=IR ##

Clean lines. Beautiful simplicity, yet breathtakingly utilitarian.
Like a cold beer on a hot day!

submitted for your approval,
diogenesNY

(I previously cited Ohm's law in a similar thread some years ago... my opinion remains unchanged... although I did have to figure out how to use latex for this one)
I like to see it with the E above, and the I and R below that.
 

Similar threads

Replies
125
Views
14K
Back
Top