weird mathematical shit general

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weird mathematical shit general

Post by quality on Sun Apr 12, 2015 7:39 pm

 .



also
1 = ∫ dx |x⟩⟨x| = ∫ dp |p⟩⟨p|, where |p⟩ = ∫ dx eixp/ħ|x⟩/√2πħ

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Re: weird mathematical shit general

Post by quality on Sun Apr 12, 2015 7:45 pm

https://en.wikipedia.org/wiki/Zenzizenzizenzic
zenzizenzizenzic notation


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Re: weird mathematical shit general

Post by xx_gladhander-freedom on Sun Apr 12, 2015 7:45 pm

the fuck does this mean?

1 = ∫ dx |x⟩⟨x|

the dx should come after |x}{x| (whatever the fuck operator }{ is supposed to be) because you iterate along Δx
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Re: weird mathematical shit general

Post by quality on Sun Apr 12, 2015 7:46 pm

xx_gladhander-freedom wrote:the fuck does this mean?

1 = ∫ dx |x⟩⟨x|

the dx should come after |x}{x| (whatever the fuck operator }{ is supposed to be) because you iterate along Δx
not a fucking clue hence why it is here

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Re: weird mathematical shit general

Post by xx_gladhander-freedom on Sun Apr 12, 2015 7:48 pm

quality wrote:
xx_gladhander-freedom wrote:the fuck does this mean?

1 = ∫ dx |x⟩⟨x|

the dx should come after |x}{x| (whatever the fuck operator }{ is supposed to be) because you iterate along Δx
not a fucking clue hence why it is here
im addressing that to our resident math major because i dont know what the }{ operator is supposed to be and my electrical engineer friend isnt online
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Re: weird mathematical shit general

Post by xx_gladhander-freedom on Sun Apr 12, 2015 7:48 pm

correction: he doesn't know
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Re: weird mathematical shit general

Post by quality on Sun Apr 12, 2015 7:50 pm

bra-ket notation in general is a horrific catastrophe

the only thing worse i have discovered in this mathematic rabbit hole is the coxeter-dynkin diagram

https://en.wikipedia.org/wiki/Coxeter%E2%80%93Dynkin_diagram

seriously, what in the unholy FUCK
 = [(3,3,4,4)]: 
 = [(3,43)]: 
 = [4[4]]: 
 = [(33,6)]: 
 = [(3,4,3,6)]: 
 = [(3,5,3,6)]: 
 = [(3,6)[2]]: 
 = [3,3[3]]: 
 = [4,3[3]]: 
 = [5,3[3]]: 
 = [6,3[3]]: 
 = [6,31,1]: 
 = [3,41,1]: 
 = [41,1,1]: 
 = [3,4,4]: 
 = [43]: 
 = [3,3,6]: 
 = [4,3,6]: 
 = [5,3,6]: 
 = [3,6,3]: 
 = [6,3,6]: 
 = [3[]x[]]: 
 = [3[3,3]]: 

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Re: weird mathematical shit general

Post by xx_gladhander-freedom on Sun Apr 12, 2015 7:52 pm

xx_gladhander-freedom wrote:correction: he doesn't know
MushroomDynamo: he probably just bungered up

the expert has spoken
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Re: weird mathematical shit general

Post by quality on Sun Apr 12, 2015 7:59 pm




also

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Re: weird mathematical shit general

Post by jewmoko on Sun Apr 12, 2015 8:08 pm

xx_gladhander-freedom wrote:
quality wrote:
xx_gladhander-freedom wrote:the fuck does this mean?

1 = ∫ dx |x⟩⟨x|

the dx should come after |x}{x| (whatever the fuck operator }{ is supposed to be) because you iterate along Δx
not a fucking clue hence why it is here
im addressing that to our resident math major because i dont know what the }{ operator is supposed to be and my electrical engineer friend isnt online

im not sure either

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Re: weird mathematical shit general

Post by jewmoko on Sun Apr 12, 2015 8:10 pm

quality wrote:


also
  is the big one supposed to be a matrix? the organization of the numbers makes me think of that

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Re: weird mathematical shit general

Post by quality on Sun Apr 12, 2015 8:10 pm

i found that weird thing in this

Consider a complete orthonormal system (basis), , for a Hilbert space H, with respect to the norm from an inner product . From basic functional analysis we know that any ket |ψ can also be written as

with  the inner product on the Hilbert space.
From the commutativity of kets with (complex) scalars now follows that

must be the identity operator, which sends each vector to itself. This can be inserted in any expression without affecting its value, for example
 ,
where, in the last identity, the Einstein summation convention has been used.
In quantum mechanics, it often occurs that little or no information about the inner product  of two arbitrary (state) kets is present, while it is still possible to say something about the expansion coefficients  and  of those vectors with respect to a specific (orthonormalized) basis. In this case, it is particularly useful to insert the unit operator into the bracket one time or more.
For more information, see Resolution of the identity, 1 = ∫ dx |x⟩⟨x| = ∫ dp |p⟩⟨p|, where |p⟩ = ∫ dx e[size=13]ixp|x⟩/√2πħ; since x′|x⟩ = δ(x − x′), plane waves follow,x|p⟩ = exp(ixp/ħ)/√2πħ.[/size]

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Re: weird mathematical shit general

Post by quality on Sun Apr 12, 2015 8:11 pm

jewmoko wrote:
quality wrote:


also
  is the big one supposed to be a matrix? the organization of the numbers makes me think of that
i'm not totally sure
https://en.wikipedia.org/wiki/Voigt_notation#Mandel_notation

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Re: weird mathematical shit general

Post by jewmoko on Sun Apr 12, 2015 8:15 pm

hilbert spaces?

i believe that sounds like analysis, which i have not taken nor want to

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Re: weird mathematical shit general

Post by quality on Sun Apr 12, 2015 8:18 pm


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Re: weird mathematical shit general

Post by quality on Sun Apr 12, 2015 8:20 pm

newman-penrose formalism in general

Spoiler:





















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Re: weird mathematical shit general

Post by xx_gladhander-freedom on Sun Apr 12, 2015 8:21 pm

quality wrote:
what's crazy about this one?

if theta and phi are placeholders for two different angle measures then it doesnt look cwazy at all
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Re: weird mathematical shit general

Post by quality on Sun Apr 12, 2015 8:25 pm

it's not crazy it's just weird looking

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Re: weird mathematical shit general

Post by jewmoko on Sun Apr 12, 2015 9:58 pm

quality wrote:newman-penrose formalism in general

Spoiler:





















lol mathematical physics

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Re: weird mathematical shit general

Post by xx_gladhander-freedom on Sun Apr 12, 2015 10:33 pm

jewmoko wrote:
quality wrote:newman-penrose formalism in general

Spoiler:





















lol mathematical physics
applied math is math that actually matters
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