Sandbox

Question

The Maximally Satirical Sandbox Model (MSSM)

The Maximally Satirical Sandbox Model is a model of an ideal sandbox, which can be stated as follows:- continued collaborative perturbations to the "Sandbox functional" results in \(\delta S=0\) where S is satire. This is equivalent through a simple R transformation (where R is reflection), to the Minimally Satirical Sandbox Model. The knowledge of the existence of knowledge of these two models can then be used to prove the PhysicsOverflow concavity theorem.

On the non-perturbative formulation of sock theory and the long standing missing sock problem

The Minimally Supersymmetric Sock Model (MSSM) is a supersymmetric \(\mathcal{N}=1\) matrix model that describes socks and sockinos. Socks are described as spin-2 massless particles while sockinos are described as spin 3/2 particles. Spontaneous supersymmetry breaking causes sockinos to gain mass, which explains the spontaneous disappearance of socks and their decoupling from the sockinos, besides when in a high-energy state, during which both sock disappear spontaneously and couple with their respective shoes and shoeinos (they are prevented from decoupling from their shoe because of Sock exclusion).

The Minimally Supersymmetric Sock Model exhibits S-duality with the Minimally Supersymmetric Shoe Model (MSSM). This means that a strongly-coupled sock is equivalent to a weakly-coupled shoe. This is unsurprising, because a very tight sock is the same as a very loose shoe, but the reverse is much more astonishing: a weakly-coupled sock is equivalent to a strongly-coupled shoe, i.e. a very loose sock is the same as a very tight shoe.

The Minimally Supersymmetric Sock Model also exhibits T-duality with the Minimally Supersymmetric Glove Model. This means that a very small sock is a very large glove, and vice versa.

This is an answer to the unsolved problem posted on Stack Exchange a few years ago, that was unfairly closed as being off-topic, despite the strong correlation observed by Shoesock Gloveson between the percentage of off-topic questions and the overall quality of a site.

april-fools

Comments

Testing testing (I am dimension10).      

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/robots.txt

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,/test

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@ArnoldNeumaier Fixed : )

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please click again to confirm.

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comment - original revision.

If you see this comment, it means that there's a pretty annoying bug present in the autosave feature.

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original revision of the comment.

Answer 1

$$\begin{align}I= \int_0^{\infty} dv \frac{8 (v^2-1)(v^4-6 v^2+1)}{v^8+4 v^6+70v^4+4 v^2+1} \log{v} &= \frac12 \sum_{k=1}^8 \text{sgn}[\cos{(\arg{z_k})}] (\arg{z_k})^2 \\ &= \frac12 [2 (\arctan{\sqrt{\phi}})^2 + 2 (2 \pi - \arctan{\sqrt{\phi}})^2 \\ &- 2 (\pi - \arctan{\sqrt{\phi}})^2 - 2 (\pi + \arctan{\sqrt{\phi}})^2]\\ &= 2 \pi^2 -4 \pi \arctan{\sqrt{\phi}} \\ &= 4 \pi \, \text{arccot}{\sqrt{\phi}}\\\end{align}$$

\(\begin{align}I= \int_0^{\infty} dv \frac{8 (v^2-1)(v^4-6 v^2+1)}{v^8+4 v^6+70v^4+4 v^2+1} \log{v} &= \frac12 \sum_{k=1}^8 \text{sgn}[\cos{(\arg{z_k})}] (\arg{z_k})^2 \\ &= \frac12 [2 (\arctan{\sqrt{\phi}})^2 + 2 (2 \pi - \arctan{\sqrt{\phi}})^2 \\ &- 2 (\pi - \arctan{\sqrt{\phi}})^2 - 2 (\pi + \arctan{\sqrt{\phi}})^2]\\ &= 2 \pi^2 -4 \pi \arctan{\sqrt{\phi}} \\ &= 4 \pi \, \text{arccot}{\sqrt{\phi}}\\\end{align} \)

Comments

who's the joker upvoting these "answers"?

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Hi physicsnewbie, I seriously like the look of these equations and it might well be that I steel them as a template some time in the future ... :-). Cheers

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@dilaton oh lol :) They're not mine, I took them off mathstack exchange, because I wanted to test if align* worked under the Latex editor - and it does!

Answer 2

Some tests on automatic link detection

With and without punctuation:
http://example.org/10
see http://example.org/11
or these both: http://example.org/12, http://example.org/13.

Testing parentheses:
(http://example.org/14)
http://example.org/15)
(http://example.org/16
(for example http://example.org/17)
http://example.org/blah_blah_(wikipedia)
http://example.org/blah_blah_(wikipedia)_(again)
(http://example.org/blah_blah_(wikipedia))
(http://example.org/blah_blah_(wikipedia)_(again))

Other tests:

http://example.org/questions/main?sort=answers
https://www.example.org/wpstyle/?p=364
ftp://ftp.example.org/public

Does not yet work, use link tool of editor:
http://223.255.255.254/

Comments

(xyz http://example.org/blah_blah_(wikipedia)).

ftp://ftp.example.org/public,

(http://example.org/14),

It works fine now; thanks!

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@dimension10 test.

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@dimension10: testing

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@Test ok.

Answer 3

test\\ $a+b=c$ $$A+B=C$$

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This is version 2 of my trial comment. This time I want to add it.

Answer 4

$R_{ab} - \frac{1}{2}R g_{ab} = 8\pi T_{ab}$

$$\begin{align}

-\frac{\hbar}{i}\frac{\partial \phi}{\partial t} &= -\frac{\hbar^{2}}{2m}\nabla^{2}\phi + V\phi\\

E\phi &= H\phi

\end{align}$$

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hello (this is dimension10)

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@dimension10 test

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testing stuff regarding autosave. (1)

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comment on answer - final revision.

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comment on answer - eventual revision.

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original revision.

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test comment.

Answer 5

Please use answers only to (at least partly) ask questions. To kill, murder, or assassinate for clarification, leave a knife instead. $\phi$

      mmm     

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see, this got two up votes!

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@VladimirKalitvianski A ping, as requested.

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bla.

Answer 6

testing with Firefox.

Mozilla Firefox Microsoft Firefox

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@upvoters hello

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self-pings clearly don't work. @dimension10.

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@VladimirKalitvianski self-ping

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testing test/..

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another test

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testing tested @test, to test, please use the test where tests are tested as opposed to the test where tests are tested

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@test tested tester test testably testing testably tested testing tests #test

Answer 7

\(\require{AMScd} \begin{CD} A @>a>> B\\@VVbV @VVcV\\ C @>d>> D \end{CD}\)

Comments

$\require{AMScd} \begin{CD} A @>a>> B\\@VVbV @VVcV\\ C @>d>> D \end{CD}$

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@JiaYiyang: Is the above correct? If so, it works, at least for me.  

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It looks good to me too, how did you fix it?

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@JiaYiyang I don't know what went wrong for you. Did you not use the tex button?

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I used dollar signs, shouldn't that also work?

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@JiaYiyang Oh, no I just meant "pre" and "p" by element type. SE's editor is basically a source editor (but takes markdown input unlike our source editor which only takes html input) so everything gets copy-pasted as plain text. There are three ways to avoid this problem:

1. Paste in source mode.
2. If you're using firefox 29.0+, you can install the add-on "Copy plain text" which allows you to ctrl+shift+C to get plain text copied.
3. Paste it normally, but after pasting, select the pasted content and just change the value of the Levels menu from Pre-formatted text to Paragraph.

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ok, thanks for the hints.

Answer 8

Heading Title

Heading Title

Heading Title

Heading Title

Heading Title

Heading Title 

Closed String spectrum

Sector	Spectrum	Massless Fields
RR	\(\mathbf{8}_s\times\mathbf{8}_s\)	\(C_0, C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8\)
RNS	\(\mathbf{8}_s\times\mathbf{8}_v\)	\(\Psi^\mu,\lambda'\)
NSR	\(\mathbf{8}_v\times\mathbf{8}_s\)	\(\Psi' ^\mu,\lambda \)
NSNS	\(\mathbf{8}_v\times\mathbf{8}_v\)	\(g_{\mu\nu}, F_{\mu\nu}, \Phi \)

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Closed String spectrum

Sector	Spectrum	Massless Fields
RR	\(\mathbf{8}_s\times\mathbf{8}_s\)	\(C_0, C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8\)
RNS	\(\mathbf{8}_s\times\mathbf{8}_v\)	\(\Psi^\mu,\lambda'\)
NSR	\(\mathbf{8}_v\times\mathbf{8}_s\)	\(\Psi' ^\mu,\lambda \)
NSNS	\(\mathbf{8}_v\times\mathbf{8}_v\)	\(g_{\mu\nu}, F_{\mu\nu}, \Phi \)

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Answer 9

Rotating moderatorship:

Comments

Hehe : )

Answer 10

testing green triangles

Comments

one green triangle seen

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I found one, and deleted it.

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another try

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and one more

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another attempt to get a green triangle

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Hm, I am not logged in as administrator (Dilaton.admin).

With respect to my own comments here, the new features work correctly too for me. What the heck ...?
 

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Well, I get the right responses, too, but only since 15:11 Vienna time.