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/math/ - Mathematics


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25 Dec 2021Mathchan is launched into public


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This board is for the discussion of mathematics.



Equations can be embedded in multiple ways:
  • \eqn{...}
    or
    \math{...}
    command substitutions
  • \[ ... \]
    or
    \( ... \)
    block substitutions
  • $$ ... $$
    or
    $ ... $
    special block substitutions
  • \begin{equation} ... \end{equation}
    or
    \begin{math} ... \end{math}
    environments
  • by starting a line with
    ,,
    or
    ,eqn
    like one commonly would with >greentext.


Matrices can be embedded by using
\begin{matrix} ... \end{matrix}
or
\begin{array} ... \end{array}
environments in any of the above ways to embed equations, or by starting a line with
,mat
,
,pmat
,
,smat
,bmat
,
,Bmat
,
,vmat
or
,Vmat
and using
&
and
\\
symbols to delineate between columns and rows respectively.

Arrays can be embedded by using
\begin{array}{c|c:c} ... \end{array}
environment in any of the above ways to embed equations, or by starting a line with
,arr{c|c:c}
Post too long. Click here to view the full text.
>>

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Mathchan supports embedding commutative diagrams:
AaBbcC=D \qquad\begin{CD} A @>a>> B \\ @VbVV @AAcA \\ C @= D \end{CD}

This can be done by using the
\begin{CD} ... \end{CD}
environment in any of the above ways to to embed equations, or by specifying your code after starting a line with
,cd
.

If KaTeX's support is insufficient, diagrams can rendered using the
\tikzcd{...}
command or by using the
\begin{tikzcd} ... \end{tikzcd}
environment.
For example, pasting the following excerpt from the attached PDF (TikZ-CD manual):

\begin{tikzcd}[row sep=scriptsize, column sep=scriptsize]
   & f^* E_V \arrow[dl] \arrow[rr] \arrow[dd] & & E_V \arrow[dl] \arrow[dd] \\
   f^* E \arrow[rr, crossing over] \arrow[dd] & & E \\
   & U \arrow[dl] \arrow[rr] & & V \arrow[dl] \\
   M \arrow[rr] & & N \arrow[from=uu, crossing over]\\
\end{tikzcd}

Will render as the following figure on Mathchan:



The drawback is that you will have to pause typing and wait until the diagram renders while KaTeX can be displayed instantaneously.
It is recommended that you compile any LaTeX code yourself - or in Overleaf - before attempting to paste it on Mathchan.


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What I said in the subject. It's so easy to prove. Search the problem and solve it, simple as that.
15 posts and 2 image replies omitted. Click here to view.
>>
>>835
proof by example
>>
Tesr
>>
jjjjjjjjjjjj
>>
test post

will dedicate my time to extrapolating a curve later
>>
>>1018
>posting about iq on a mathematics board
I just want to say that i scored 110s on the mensa when i didn't know these insane fucks were doing function identities on the object numbers and 130s after finding out
iq tests are a joke on uninformed people
>but you have got to find out during the test bro
fuck off


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When did you realize that the reals are fake?
Mathematics can do without infinities.
46 posts and 3 image replies omitted. Click here to view.
>>
>>949
Without ever considering the concept of infinity it isn't really feasible. Perhaps as the least positive real e such that x^x<y^y if 1/e<x<y you might like.
>>
Only one thing in the universe is infinite and that's the coping and seething of finitistcels
>>
In order to be mathematics, Ultrafinitist and finitists need to make a logical coherent system.
They can't. It's about the physics to deceide whether the world as a whole is infinite or finite in nature.
As far as I know, our informations doesn't allow such a inference. The topic is closed at this moment.
>>
>>955
I'd say finitism is moreso a philosophical perspective than anything very empirical.
>>


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can you do it?
>>
>>1034
no i dont think i can look like that


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I don't get it. Why are so many people in fractals nowadays?

There seems to be a whole community on Youtube that makes Mandelbrotzooms and seems to appreciate the psychedelic aesthetics and the relationship of these to PC hardware. Is this simply a continuation of the graphics demo scene?

I don't quite understand the appeal. However, I don't quite understand the math behind it either.
3 posts and 1 image reply omitted. Click here to view.
>>
>>465
"schizos" schizing out is a good explanation
>>
>>465
It looks interesting, like there could be some seret around any corner, but it isn't, so there's no pressure to find anything
>>
Look:
https://youtu.be/Ed1gsyxxwM0
>>
>>465
There's a difference between being in fractals and being "in fractals". I'm sure there are plenty of people who like to look at a mandelbrot zoom, but the number of mathematicians actually studying fractals is probably quite low, even lower than in the 80s during the fractal heyday.
>>
>>1039
A >>>IQ comment


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If you had a math exam and you could use your phone with internet while attempting the paper, what service would you use to solve questions?
Topics:
-Propositional Calculus
-Methods of Proof
-Boolean Algebra and Circuits
-Sets, Relations and Functions
-Combinatorics
-Some more Counting Principles
-Partitions and Distributions
15 posts and 1 image reply omitted. Click here to view.
>>
>>751
No problem mate. Couldn't find anything that works on rutracker. Where exactly must I be looking?
>>
>>754
Mobilism
>>
>>724
fart
>>
what i say, fuck niggers
>>
Surely the answer has to be Wolfram Cloud. Mathematica + WA at your fingertips


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Im new.
2 posts omitted. Click here to view.
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>>749
broooo i need lukyon back plsss &#128532;&#128532;&#128532;i miss him so much
>>
hi new
>>
Congratulations
>>
Hi new I'm dad
>>
>>749 hey me too


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Can any given probability be reduced to a simple judgment, zero or one?
This would mean that we could reduce any distribution to the binomial distribution
>>
>>1012
no
>>
>>1013
God, I hate it. Terrible. What a pain.


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Talk maths.
9 posts and 1 image reply omitted. Click here to view.
>>
>>112
same
>>

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>>132
>>563
Wouldn't it be an improper integral over the complex plane?
>>
>>657
https://mathoverflow.net/questions/453862/is-the-area-of-the-mandelbrot-set-known
>>
Rediscovered something cute

https://files.catbox.moe/l6ft4m.mp4
>>
>>111
Trying to classify what ideals fail the weak lefschetz property


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test
>>
I just typed in I don't know I didn't think it would work. I'm sorry