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What is this equation with zeta from a T-Shirt in a video?
Numerical Integration over 2D Regions with Discontinuous FunctionsHow to integrate $int_-1^1frac1a + bx dx$, where $a,bin mathbbC$ without using branch cuts.A rigorous meaning of “induced measure”?Probability density of constructed variableWhy does the boundary of a region $D$ have enough information to dictate the value of an integral over $D$?How do I prove the following equation involving $int_0^+inftyleft(fracsin(x)xright)^ndx$Are there parts of Integral Calculus that just *have* to be memorized?Cavalieri's, Mamikon's and Peano's methods for areas/volumes: how are they related?Calculate Integral using residue theoremWhat is the idea to integrate this equation from G&R?
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There's an equation on a T-shirt in the music video by Remy Zero for "Gramarye". There's not a completely clear shot of it, but it's something along the lines of:
$$?^???(z) = fracn !2 pi ? int_C fracf(zeta)(zeta - z)^n+1 dzeta ,$$
Can anyone fill in the blanks and identify what that is? Searched around a bit on line integrals and zeta functions and didn't find anything
integration
$endgroup$
add a comment |
$begingroup$
There's an equation on a T-shirt in the music video by Remy Zero for "Gramarye". There's not a completely clear shot of it, but it's something along the lines of:
$$?^???(z) = fracn !2 pi ? int_C fracf(zeta)(zeta - z)^n+1 dzeta ,$$
Can anyone fill in the blanks and identify what that is? Searched around a bit on line integrals and zeta functions and didn't find anything
integration
$endgroup$
4
$begingroup$
en.wikipedia.org/wiki/Cauchy's_integral_formula
$endgroup$
– Brad
Jul 22 '14 at 3:39
$begingroup$
Cauchy's integral formula. Not Riemann zeta at all
$endgroup$
– Will Jagy
Jul 22 '14 at 3:39
$begingroup$
It's $f^(n)(z)$. See Cauchy's generalized integral formula. Now I really want that shirt.
$endgroup$
– Cameron Williams
Jul 22 '14 at 3:39
$begingroup$
That's not a zeta function. Zeta there is just a dummy variable.
$endgroup$
– mweiss
Jul 22 '14 at 3:39
add a comment |
$begingroup$
There's an equation on a T-shirt in the music video by Remy Zero for "Gramarye". There's not a completely clear shot of it, but it's something along the lines of:
$$?^???(z) = fracn !2 pi ? int_C fracf(zeta)(zeta - z)^n+1 dzeta ,$$
Can anyone fill in the blanks and identify what that is? Searched around a bit on line integrals and zeta functions and didn't find anything
integration
$endgroup$
There's an equation on a T-shirt in the music video by Remy Zero for "Gramarye". There's not a completely clear shot of it, but it's something along the lines of:
$$?^???(z) = fracn !2 pi ? int_C fracf(zeta)(zeta - z)^n+1 dzeta ,$$
Can anyone fill in the blanks and identify what that is? Searched around a bit on line integrals and zeta functions and didn't find anything
integration
integration
asked Jul 22 '14 at 3:37
HostileForkHostileFork
1687
1687
4
$begingroup$
en.wikipedia.org/wiki/Cauchy's_integral_formula
$endgroup$
– Brad
Jul 22 '14 at 3:39
$begingroup$
Cauchy's integral formula. Not Riemann zeta at all
$endgroup$
– Will Jagy
Jul 22 '14 at 3:39
$begingroup$
It's $f^(n)(z)$. See Cauchy's generalized integral formula. Now I really want that shirt.
$endgroup$
– Cameron Williams
Jul 22 '14 at 3:39
$begingroup$
That's not a zeta function. Zeta there is just a dummy variable.
$endgroup$
– mweiss
Jul 22 '14 at 3:39
add a comment |
4
$begingroup$
en.wikipedia.org/wiki/Cauchy's_integral_formula
$endgroup$
– Brad
Jul 22 '14 at 3:39
$begingroup$
Cauchy's integral formula. Not Riemann zeta at all
$endgroup$
– Will Jagy
Jul 22 '14 at 3:39
$begingroup$
It's $f^(n)(z)$. See Cauchy's generalized integral formula. Now I really want that shirt.
$endgroup$
– Cameron Williams
Jul 22 '14 at 3:39
$begingroup$
That's not a zeta function. Zeta there is just a dummy variable.
$endgroup$
– mweiss
Jul 22 '14 at 3:39
4
4
$begingroup$
en.wikipedia.org/wiki/Cauchy's_integral_formula
$endgroup$
– Brad
Jul 22 '14 at 3:39
$begingroup$
en.wikipedia.org/wiki/Cauchy's_integral_formula
$endgroup$
– Brad
Jul 22 '14 at 3:39
$begingroup$
Cauchy's integral formula. Not Riemann zeta at all
$endgroup$
– Will Jagy
Jul 22 '14 at 3:39
$begingroup$
Cauchy's integral formula. Not Riemann zeta at all
$endgroup$
– Will Jagy
Jul 22 '14 at 3:39
$begingroup$
It's $f^(n)(z)$. See Cauchy's generalized integral formula. Now I really want that shirt.
$endgroup$
– Cameron Williams
Jul 22 '14 at 3:39
$begingroup$
It's $f^(n)(z)$. See Cauchy's generalized integral formula. Now I really want that shirt.
$endgroup$
– Cameron Williams
Jul 22 '14 at 3:39
$begingroup$
That's not a zeta function. Zeta there is just a dummy variable.
$endgroup$
– mweiss
Jul 22 '14 at 3:39
$begingroup$
That's not a zeta function. Zeta there is just a dummy variable.
$endgroup$
– mweiss
Jul 22 '14 at 3:39
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Turning comment into an answer.
That is Cauchy's integral formula. The full formula is given by
$$f^(n)(z) = fracn !2 pi i int_C! fracf(zeta)(zeta - z)^n+1 mathrmdzeta $$
$endgroup$
$begingroup$
Is it so worthy to be on a t-shirt?
$endgroup$
– MonK
Jul 22 '14 at 4:37
$begingroup$
@Sid It doesn't take much to make it onto a shirt in the first place... so I'd imagine it's as good as anything. :-)
$endgroup$
– HostileFork
Jul 22 '14 at 7:10
add a comment |
Your Answer
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Turning comment into an answer.
That is Cauchy's integral formula. The full formula is given by
$$f^(n)(z) = fracn !2 pi i int_C! fracf(zeta)(zeta - z)^n+1 mathrmdzeta $$
$endgroup$
$begingroup$
Is it so worthy to be on a t-shirt?
$endgroup$
– MonK
Jul 22 '14 at 4:37
$begingroup$
@Sid It doesn't take much to make it onto a shirt in the first place... so I'd imagine it's as good as anything. :-)
$endgroup$
– HostileFork
Jul 22 '14 at 7:10
add a comment |
$begingroup$
Turning comment into an answer.
That is Cauchy's integral formula. The full formula is given by
$$f^(n)(z) = fracn !2 pi i int_C! fracf(zeta)(zeta - z)^n+1 mathrmdzeta $$
$endgroup$
$begingroup$
Is it so worthy to be on a t-shirt?
$endgroup$
– MonK
Jul 22 '14 at 4:37
$begingroup$
@Sid It doesn't take much to make it onto a shirt in the first place... so I'd imagine it's as good as anything. :-)
$endgroup$
– HostileFork
Jul 22 '14 at 7:10
add a comment |
$begingroup$
Turning comment into an answer.
That is Cauchy's integral formula. The full formula is given by
$$f^(n)(z) = fracn !2 pi i int_C! fracf(zeta)(zeta - z)^n+1 mathrmdzeta $$
$endgroup$
Turning comment into an answer.
That is Cauchy's integral formula. The full formula is given by
$$f^(n)(z) = fracn !2 pi i int_C! fracf(zeta)(zeta - z)^n+1 mathrmdzeta $$
answered Jul 22 '14 at 4:07
BradBrad
4,29021448
4,29021448
$begingroup$
Is it so worthy to be on a t-shirt?
$endgroup$
– MonK
Jul 22 '14 at 4:37
$begingroup$
@Sid It doesn't take much to make it onto a shirt in the first place... so I'd imagine it's as good as anything. :-)
$endgroup$
– HostileFork
Jul 22 '14 at 7:10
add a comment |
$begingroup$
Is it so worthy to be on a t-shirt?
$endgroup$
– MonK
Jul 22 '14 at 4:37
$begingroup$
@Sid It doesn't take much to make it onto a shirt in the first place... so I'd imagine it's as good as anything. :-)
$endgroup$
– HostileFork
Jul 22 '14 at 7:10
$begingroup$
Is it so worthy to be on a t-shirt?
$endgroup$
– MonK
Jul 22 '14 at 4:37
$begingroup$
Is it so worthy to be on a t-shirt?
$endgroup$
– MonK
Jul 22 '14 at 4:37
$begingroup$
@Sid It doesn't take much to make it onto a shirt in the first place... so I'd imagine it's as good as anything. :-)
$endgroup$
– HostileFork
Jul 22 '14 at 7:10
$begingroup$
@Sid It doesn't take much to make it onto a shirt in the first place... so I'd imagine it's as good as anything. :-)
$endgroup$
– HostileFork
Jul 22 '14 at 7:10
add a comment |
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4
$begingroup$
en.wikipedia.org/wiki/Cauchy's_integral_formula
$endgroup$
– Brad
Jul 22 '14 at 3:39
$begingroup$
Cauchy's integral formula. Not Riemann zeta at all
$endgroup$
– Will Jagy
Jul 22 '14 at 3:39
$begingroup$
It's $f^(n)(z)$. See Cauchy's generalized integral formula. Now I really want that shirt.
$endgroup$
– Cameron Williams
Jul 22 '14 at 3:39
$begingroup$
That's not a zeta function. Zeta there is just a dummy variable.
$endgroup$
– mweiss
Jul 22 '14 at 3:39