# weird mathematical shit general

## weird mathematical shit general

.

also

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

also

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

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## Re: weird mathematical shit general

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

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

not a fucking clue hence why it is herexx_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

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## Re: weird mathematical shit general

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 onlinequality wrote:not a fucking clue hence why it is herexx_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

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## Re: weird mathematical shit general

correction: he doesn't know

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## Re: weird mathematical shit general

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

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)]: = [(3,4 ^{3})]: = [4 ^{[4]}]: = [(3 ^{3},6)]: = [(3,4,3,6)]: = [(3,5,3,6)]: = [(3,6) ^{[2]}]: | = [3,3^{[3]}]: = [4,3 ^{[3]}]: = [5,3 ^{[3]}]: = [6,3 ^{[3]}]: = [6,3 ^{1,1}]: = [3,4 ^{1,1}]: = [4 ^{1,1,1}]: | = [3,4,4]: = [4 ^{3}]: = [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

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

the expert has spoken

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## Re: weird mathematical shit general

xx_gladhander-freedom wrote: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 onlinequality wrote:not a fucking clue hence why it is herexx_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

im not sure either

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## Re: weird mathematical shit general

is the big one supposed to be a matrix? the organization of the numbers makes me think of thatquality wrote:

also

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## Re: weird mathematical shit general

i found that weird thing in this

Consider a complete orthonormal system (basis), , for a Hilbert spaceH, 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⟩ = ∫dxe^{[size=13]ixp/ħ}|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

i'm not totally surejewmoko wrote:is the big one supposed to be a matrix? the organization of the numbers makes me think of thatquality wrote:

also

https://en.wikipedia.org/wiki/Voigt_notation#Mandel_notation

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## Re: weird mathematical shit general

hilbert spaces?

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

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

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## Re: weird mathematical shit general

newman-penrose formalism in general

- Spoiler:

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## Re: weird mathematical shit general

what's crazy about this one?quality wrote:

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

it's not crazy it's just weird looking

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## Re: weird mathematical shit general

quality wrote:newman-penrose formalism in general

- Spoiler:

lol mathematical physics

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## Re: weird mathematical shit general

applied math is math that actually mattersjewmoko wrote:quality wrote:newman-penrose formalism in general

- Spoiler:

lol mathematical physics

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