/sci/ - Science & Math

[math] D_x^{n+1} \cos(x) = 2^n e^{i x} [/math]

Find the linear differential operator [math] D_x. [/math]

>>8212336
I'm a double major in math and cs; mostly normal guys in math, a coupe swole guys in my physics courses, cs was all pajeets, Asians or weebs.

I already laughed about
>SHILLBERT
yesterday

But let me just post this here, Hilbert has the cutest voice
https://www.youtube.com/watch?v=EbgAu_X2mm4

Now since the thread is asking for symmetry, here's a weirdo I saw on SE:

<span class="math">\int_0^{\infty} d \frac{x^{\alpha}}{1+2 x \cos{(\pi \beta)} + x^2}=\frac{\pi \sin{\pi \alpha \beta}}{ \sin{\pi \alpha} \sin{\pi \beta}}[/spoiler]

In other words, the right hand side, this integral, is symmetric and alpha and beta. All of my keks.

>>7067062
Yeah, that was the joke. It's the same -1/12. Also pops up here

http://en.wikipedia.org/wiki/Todd_class

or here

http://en.wikipedia.org/wiki/Magnus_expansion#Magnus_approach_and_its_interpretation

>>7067066
I'd say go for it.

There are MO and MathSE threads covering that exact question
here
http://mathoverflow.net/questions/7120/too-old-for-advanced-mathematics
and here
http://math.stackexchange.com/questions/237002/too-old-to-start-math

I think mathematics is a young mans game, not because of mental capacity, but because
a) people stop giving a fuck about mathematics. you think you really want to learn it, but you're only interested.
b) kids and real unrelated job will almost always interfere and run against "a good schedule" like sitting down 3 hours a day, 6 days a week.
a+b) You probably have too many hobbies and too many friends.
Try to have Asian parents, like Terrence. Or better, have your parents sent to Auschwitz, like Alexander.

If you got a non-commutative operation, I'd argue it's difficult to justify calling it the conjunction or disjunction of your theory. Those concepts don't really have many other defining properties, which you can drop.

There are temporal logics, which have a rich range of conjunctions and some are not commutative: E.g. these logic take into account a running time variable, and then there is a binary connective <span class="math">u[/spoiler] with

<span class="math">\psi u \phi[/spoiler] ... <span class="math">\psi[/spoiler] holds, at least until <span class="math">\phi[/spoiler] is also true. After <span class="math">\phi[/spoiler] has set in, <span class="math">\psi[/spoiler] is allowed to fail.

Your thread is kinda similar to the one I posted at the beginning of the week
https://archive.foolz.us/sci/thread/6621023/#q6621023
(You can use the same approach and what you then want to do is to look out for are monodial categories, which are not symmetric.)

>>6625593
I'm not sure to what extend a monad is related. (?)
In case you want to say that the subject is exhausted, that might be true. As far as possible propositional logics go, I imagine these have been classified in the 30's, see
http://en.wikipedia.org/wiki/Universal_algebra#Varieties
I think the modern shit that digs deepest is
http://en.wikipedia.org/wiki/Operad_theory