Partial derivative with respect to three variables
5
I just started learning LaTeX and I am facing problem in writing the following equation, can anyone please help me out?
symbols
edited Feb 22 at 14:03
Bernard
174k776207
asked Feb 22 at 13:41
shadow khshadow kh
1284
add a comment |
5
I just started learning LaTeX and I am facing problem in writing the following equation, can anyone please help me out?
symbols
edited Feb 22 at 14:03
Bernard
174k776207
asked Feb 22 at 13:41
shadow khshadow kh
1284
add a comment |
5
5
5
I just started learning LaTeX and I am facing problem in writing the following equation, can anyone please help me out?
symbols
edited Feb 22 at 14:03
Bernard
174k776207
asked Feb 22 at 13:41
shadow khshadow kh
1284
I just started learning LaTeX and I am facing problem in writing the following equation, can anyone please help me out?
symbols
symbols
edited Feb 22 at 14:03
Bernard
174k776207
asked Feb 22 at 13:41
shadow khshadow kh
1284
edited Feb 22 at 14:03
Bernard
174k776207
asked Feb 22 at 13:41
shadow khshadow kh
1284
edited Feb 22 at 14:03
Bernard
174k776207
edited Feb 22 at 14:03
Bernard
174k776207
edited Feb 22 at 14:03
Bernard
174k776207
174k776207
asked Feb 22 at 13:41
shadow khshadow kh
1284
asked Feb 22 at 13:41
shadow khshadow kh
1284
asked Feb 22 at 13:41
shadow khshadow kh
1284
1284
add a comment |
add a comment |
5 Answers
5
active
oldest
votes
8
A simpler code with the diffcoeff package. The order of differentiation is automatically computed — I suppose k+l is k_1+k_2+l:
documentclass{article}
usepackage{mathtools, diffcoeff}
DeclarePairedDelimiterabs{lvert}{rvert}
begin{document}
[
abs*{diffp[k_1,k_2,l]{u_0}
{x_1, x_2, t}} leq C
]
end{document}
answered Feb 22 at 14:06
BernardBernard
174k776207
I didn't know aboutdiffcoeff. Nice. Off topic:k_1+k_2+ljust to be compatible with order of powers in denominator? :-)
– Sigur
Feb 22 at 14:09
@Sigur: it is a comparatively recent package. For the question: yes it is so. Of course, I understand that probably, $k$ denotes $k_1+k_2$, but there doesn't seem to be tools to use k in the numerator and k_1, k_2 in the denominator.
– Bernard
Feb 22 at 14:15
Is there any way to eliminate the parentheses around the variables in the denominator? IMHO, adding parentheses like this creates ambiguity and is wrong. See i.stack.imgur.com/Jc3v8.png The powersk_1,k_2andlshould be applied to the wholepartial <variable>thing.
– Ruixi Zhang
Feb 23 at 13:05
It seems to be hard-coded in the package for so-called long variables (it goes into the category, I suspect, because of the indices). As it's written in latex 3, which I don't master, I have no idea how to patch it, unfortunately. Maybe, ask a new question about this feature?
– Bernard
Feb 23 at 13:54
add a comment |
6
You could write
[leftlvertfrac{partial^{k+l}u_0}
{{partial x_1}^{k_1}{partial x_2}^{k_2}partial t^l}rightrvert
leq C]
edited Feb 22 at 13:52
Sigur
26.1k457142
answered Feb 22 at 13:45
José Carlos SantosJosé Carlos Santos
8571217
add a comment |
5
one more variation ...
documentclass{article}
usepackage{mathtools}
DeclarePairedDelimiterabs{lvert}{rvert}
begin{document}
[
abs*{frac{partial^{k+l}u_0}
{partial x_1^{k_1}partial x_2^{k_2}partial t^l}} leq C
]
end{document}
answered Feb 22 at 13:49
ZarkoZarko
128k868167
How did you produce the frame around the image?
– Sigur
Feb 22 at 13:55
@Sigur, it is not part oflatexcode, but drawn by Snipping Tool, which i use for copping image from pdf previewer to site. in it i select optionShow Ink selection ...
– Zarko
Feb 22 at 14:01
Ah, OK. I use Shutter. Maybe there is such frame option there.
– Sigur
Feb 22 at 14:02
Thanks to you I've just created a plugin for Shutter to add 1px solid blue frame around the image. Now I need to know how to run it automatically when screen shot is created.
– Sigur
Feb 22 at 15:03
For the frame around formula in LaTeX, simply useboxed{...}inside the math context. Of course, to get the wide white horizontal margin you would have to manually add some space withhspaceorqquad
– Jhor
Feb 22 at 20:55
add a comment |
5
Like this?
documentclass{report}
usepackage{amsmath}
begin{document}
[ Bigglvert
frac{partial^{k+l}u_0}
{partial^{k_1}{x_1},
partial^{k_2}{x_2},
partial^{l}{t}}
Biggrvert leq C,
]
end{document}
answered Feb 22 at 13:46
SigurSigur
26.1k457142
1
The notation here is wrong I’m afraid. Thek_1,k_2andlshould follow the variables, not thepartialsigns. See i.stack.imgur.com/Jc3v8.png
– Ruixi Zhang
Feb 23 at 13:04
add a comment |
1
documentclass{article}
begin{document}
$ left | frac{partial^{k+1}u_0}{{partial x_1}^{k_1} {partial x_2}^{k_2} partial t^l} right | leq C $
end{document}
answered Feb 22 at 13:46
Sina AhmadiSina Ahmadi
77338
add a comment |
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5 Answers
5
active
oldest
votes
5 Answers
5
active
oldest
votes
active
oldest
votes
active
oldest
votes
8
A simpler code with the diffcoeff package. The order of differentiation is automatically computed — I suppose k+l is k_1+k_2+l:
documentclass{article}
usepackage{mathtools, diffcoeff}
DeclarePairedDelimiterabs{lvert}{rvert}
begin{document}
[
abs*{diffp[k_1,k_2,l]{u_0}
{x_1, x_2, t}} leq C
]
end{document}
answered Feb 22 at 14:06
BernardBernard
174k776207
I didn't know aboutdiffcoeff. Nice. Off topic:k_1+k_2+ljust to be compatible with order of powers in denominator? :-)
– Sigur
Feb 22 at 14:09
@Sigur: it is a comparatively recent package. For the question: yes it is so. Of course, I understand that probably, $k$ denotes $k_1+k_2$, but there doesn't seem to be tools to use k in the numerator and k_1, k_2 in the denominator.
– Bernard
Feb 22 at 14:15
Is there any way to eliminate the parentheses around the variables in the denominator? IMHO, adding parentheses like this creates ambiguity and is wrong. See i.stack.imgur.com/Jc3v8.png The powersk_1,k_2andlshould be applied to the wholepartial <variable>thing.
– Ruixi Zhang
Feb 23 at 13:05
It seems to be hard-coded in the package for so-called long variables (it goes into the category, I suspect, because of the indices). As it's written in latex 3, which I don't master, I have no idea how to patch it, unfortunately. Maybe, ask a new question about this feature?
– Bernard
Feb 23 at 13:54
add a comment |
8
A simpler code with the diffcoeff package. The order of differentiation is automatically computed — I suppose k+l is k_1+k_2+l:
documentclass{article}
usepackage{mathtools, diffcoeff}
DeclarePairedDelimiterabs{lvert}{rvert}
begin{document}
[
abs*{diffp[k_1,k_2,l]{u_0}
{x_1, x_2, t}} leq C
]
end{document}
answered Feb 22 at 14:06
BernardBernard
174k776207
I didn't know aboutdiffcoeff. Nice. Off topic:k_1+k_2+ljust to be compatible with order of powers in denominator? :-)
– Sigur
Feb 22 at 14:09
@Sigur: it is a comparatively recent package. For the question: yes it is so. Of course, I understand that probably, $k$ denotes $k_1+k_2$, but there doesn't seem to be tools to use k in the numerator and k_1, k_2 in the denominator.
– Bernard
Feb 22 at 14:15
Is there any way to eliminate the parentheses around the variables in the denominator? IMHO, adding parentheses like this creates ambiguity and is wrong. See i.stack.imgur.com/Jc3v8.png The powersk_1,k_2andlshould be applied to the wholepartial <variable>thing.
– Ruixi Zhang
Feb 23 at 13:05
It seems to be hard-coded in the package for so-called long variables (it goes into the category, I suspect, because of the indices). As it's written in latex 3, which I don't master, I have no idea how to patch it, unfortunately. Maybe, ask a new question about this feature?
– Bernard
Feb 23 at 13:54
add a comment |
8
8
8
A simpler code with the diffcoeff package. The order of differentiation is automatically computed — I suppose k+l is k_1+k_2+l:
documentclass{article}
usepackage{mathtools, diffcoeff}
DeclarePairedDelimiterabs{lvert}{rvert}
begin{document}
[
abs*{diffp[k_1,k_2,l]{u_0}
{x_1, x_2, t}} leq C
]
end{document}
answered Feb 22 at 14:06
BernardBernard
174k776207
A simpler code with the diffcoeff package. The order of differentiation is automatically computed — I suppose k+l is k_1+k_2+l:
documentclass{article}
usepackage{mathtools, diffcoeff}
DeclarePairedDelimiterabs{lvert}{rvert}
begin{document}
[
abs*{diffp[k_1,k_2,l]{u_0}
{x_1, x_2, t}} leq C
]
end{document}
answered Feb 22 at 14:06
BernardBernard
174k776207
answered Feb 22 at 14:06
BernardBernard
174k776207
answered Feb 22 at 14:06
BernardBernard
174k776207
answered Feb 22 at 14:06
BernardBernard
174k776207
174k776207
I didn't know aboutdiffcoeff. Nice. Off topic:k_1+k_2+ljust to be compatible with order of powers in denominator? :-)
– Sigur
Feb 22 at 14:09
@Sigur: it is a comparatively recent package. For the question: yes it is so. Of course, I understand that probably, $k$ denotes $k_1+k_2$, but there doesn't seem to be tools to use k in the numerator and k_1, k_2 in the denominator.
– Bernard
Feb 22 at 14:15
Is there any way to eliminate the parentheses around the variables in the denominator? IMHO, adding parentheses like this creates ambiguity and is wrong. See i.stack.imgur.com/Jc3v8.png The powersk_1,k_2andlshould be applied to the wholepartial <variable>thing.
– Ruixi Zhang
Feb 23 at 13:05
It seems to be hard-coded in the package for so-called long variables (it goes into the category, I suspect, because of the indices). As it's written in latex 3, which I don't master, I have no idea how to patch it, unfortunately. Maybe, ask a new question about this feature?
– Bernard
Feb 23 at 13:54
add a comment |
I didn't know aboutdiffcoeff. Nice. Off topic:k_1+k_2+ljust to be compatible with order of powers in denominator? :-)
– Sigur
Feb 22 at 14:09
@Sigur: it is a comparatively recent package. For the question: yes it is so. Of course, I understand that probably, $k$ denotes $k_1+k_2$, but there doesn't seem to be tools to use k in the numerator and k_1, k_2 in the denominator.
– Bernard
Feb 22 at 14:15
Is there any way to eliminate the parentheses around the variables in the denominator? IMHO, adding parentheses like this creates ambiguity and is wrong. See i.stack.imgur.com/Jc3v8.png The powersk_1,k_2andlshould be applied to the wholepartial <variable>thing.
– Ruixi Zhang
Feb 23 at 13:05
It seems to be hard-coded in the package for so-called long variables (it goes into the category, I suspect, because of the indices). As it's written in latex 3, which I don't master, I have no idea how to patch it, unfortunately. Maybe, ask a new question about this feature?
– Bernard
Feb 23 at 13:54
I didn't know about
diffcoeff. Nice. Off topic: k_1+k_2+l just to be compatible with order of powers in denominator? :-)– Sigur
Feb 22 at 14:09
I didn't know about
diffcoeff. Nice. Off topic: k_1+k_2+l just to be compatible with order of powers in denominator? :-)– Sigur
Feb 22 at 14:09
@Sigur: it is a comparatively recent package. For the question: yes it is so. Of course, I understand that probably, $k$ denotes $k_1+k_2$, but there doesn't seem to be tools to use k in the numerator and k_1, k_2 in the denominator.
– Bernard
Feb 22 at 14:15
@Sigur: it is a comparatively recent package. For the question: yes it is so. Of course, I understand that probably, $k$ denotes $k_1+k_2$, but there doesn't seem to be tools to use k in the numerator and k_1, k_2 in the denominator.
– Bernard
Feb 22 at 14:15
Is there any way to eliminate the parentheses around the variables in the denominator? IMHO, adding parentheses like this creates ambiguity and is wrong. See i.stack.imgur.com/Jc3v8.png The powers
k_1, k_2 and l should be applied to the whole partial <variable> thing.– Ruixi Zhang
Feb 23 at 13:05
Is there any way to eliminate the parentheses around the variables in the denominator? IMHO, adding parentheses like this creates ambiguity and is wrong. See i.stack.imgur.com/Jc3v8.png The powers
k_1, k_2 and l should be applied to the whole partial <variable> thing.– Ruixi Zhang
Feb 23 at 13:05
It seems to be hard-coded in the package for so-called long variables (it goes into the category, I suspect, because of the indices). As it's written in latex 3, which I don't master, I have no idea how to patch it, unfortunately. Maybe, ask a new question about this feature?
– Bernard
Feb 23 at 13:54
It seems to be hard-coded in the package for so-called long variables (it goes into the category, I suspect, because of the indices). As it's written in latex 3, which I don't master, I have no idea how to patch it, unfortunately. Maybe, ask a new question about this feature?
– Bernard
Feb 23 at 13:54
add a comment |
6
You could write
[leftlvertfrac{partial^{k+l}u_0}
{{partial x_1}^{k_1}{partial x_2}^{k_2}partial t^l}rightrvert
leq C]
edited Feb 22 at 13:52
Sigur
26.1k457142
answered Feb 22 at 13:45
José Carlos SantosJosé Carlos Santos
8571217
add a comment |
6
You could write
[leftlvertfrac{partial^{k+l}u_0}
{{partial x_1}^{k_1}{partial x_2}^{k_2}partial t^l}rightrvert
leq C]
edited Feb 22 at 13:52
Sigur
26.1k457142
answered Feb 22 at 13:45
José Carlos SantosJosé Carlos Santos
8571217
add a comment |
6
6
6
You could write
[leftlvertfrac{partial^{k+l}u_0}
{{partial x_1}^{k_1}{partial x_2}^{k_2}partial t^l}rightrvert
leq C]
edited Feb 22 at 13:52
Sigur
26.1k457142
answered Feb 22 at 13:45
José Carlos SantosJosé Carlos Santos
8571217
You could write
[leftlvertfrac{partial^{k+l}u_0}
{{partial x_1}^{k_1}{partial x_2}^{k_2}partial t^l}rightrvert
leq C]
edited Feb 22 at 13:52
Sigur
26.1k457142
answered Feb 22 at 13:45
José Carlos SantosJosé Carlos Santos
8571217
edited Feb 22 at 13:52
Sigur
26.1k457142
edited Feb 22 at 13:52
Sigur
26.1k457142
edited Feb 22 at 13:52
Sigur
26.1k457142
26.1k457142
answered Feb 22 at 13:45
José Carlos SantosJosé Carlos Santos
8571217
answered Feb 22 at 13:45
José Carlos SantosJosé Carlos Santos
8571217
answered Feb 22 at 13:45
José Carlos SantosJosé Carlos Santos
8571217
8571217
add a comment |
add a comment |
5
one more variation ...
documentclass{article}
usepackage{mathtools}
DeclarePairedDelimiterabs{lvert}{rvert}
begin{document}
[
abs*{frac{partial^{k+l}u_0}
{partial x_1^{k_1}partial x_2^{k_2}partial t^l}} leq C
]
end{document}
answered Feb 22 at 13:49
ZarkoZarko
128k868167
How did you produce the frame around the image?
– Sigur
Feb 22 at 13:55
@Sigur, it is not part oflatexcode, but drawn by Snipping Tool, which i use for copping image from pdf previewer to site. in it i select optionShow Ink selection ...
– Zarko
Feb 22 at 14:01
Ah, OK. I use Shutter. Maybe there is such frame option there.
– Sigur
Feb 22 at 14:02
Thanks to you I've just created a plugin for Shutter to add 1px solid blue frame around the image. Now I need to know how to run it automatically when screen shot is created.
– Sigur
Feb 22 at 15:03
For the frame around formula in LaTeX, simply useboxed{...}inside the math context. Of course, to get the wide white horizontal margin you would have to manually add some space withhspaceorqquad
– Jhor
Feb 22 at 20:55
add a comment |
5
one more variation ...
documentclass{article}
usepackage{mathtools}
DeclarePairedDelimiterabs{lvert}{rvert}
begin{document}
[
abs*{frac{partial^{k+l}u_0}
{partial x_1^{k_1}partial x_2^{k_2}partial t^l}} leq C
]
end{document}
answered Feb 22 at 13:49
ZarkoZarko
128k868167
How did you produce the frame around the image?
– Sigur
Feb 22 at 13:55
@Sigur, it is not part oflatexcode, but drawn by Snipping Tool, which i use for copping image from pdf previewer to site. in it i select optionShow Ink selection ...
– Zarko
Feb 22 at 14:01
Ah, OK. I use Shutter. Maybe there is such frame option there.
– Sigur
Feb 22 at 14:02
Thanks to you I've just created a plugin for Shutter to add 1px solid blue frame around the image. Now I need to know how to run it automatically when screen shot is created.
– Sigur
Feb 22 at 15:03
For the frame around formula in LaTeX, simply useboxed{...}inside the math context. Of course, to get the wide white horizontal margin you would have to manually add some space withhspaceorqquad
– Jhor
Feb 22 at 20:55
add a comment |
5
5
5
one more variation ...
documentclass{article}
usepackage{mathtools}
DeclarePairedDelimiterabs{lvert}{rvert}
begin{document}
[
abs*{frac{partial^{k+l}u_0}
{partial x_1^{k_1}partial x_2^{k_2}partial t^l}} leq C
]
end{document}
answered Feb 22 at 13:49
ZarkoZarko
128k868167
one more variation ...
documentclass{article}
usepackage{mathtools}
DeclarePairedDelimiterabs{lvert}{rvert}
begin{document}
[
abs*{frac{partial^{k+l}u_0}
{partial x_1^{k_1}partial x_2^{k_2}partial t^l}} leq C
]
end{document}
answered Feb 22 at 13:49
ZarkoZarko
128k868167
answered Feb 22 at 13:49
ZarkoZarko
128k868167
answered Feb 22 at 13:49
ZarkoZarko
128k868167
answered Feb 22 at 13:49
ZarkoZarko
128k868167
128k868167
How did you produce the frame around the image?
– Sigur
Feb 22 at 13:55
@Sigur, it is not part oflatexcode, but drawn by Snipping Tool, which i use for copping image from pdf previewer to site. in it i select optionShow Ink selection ...
– Zarko
Feb 22 at 14:01
Ah, OK. I use Shutter. Maybe there is such frame option there.
– Sigur
Feb 22 at 14:02
Thanks to you I've just created a plugin for Shutter to add 1px solid blue frame around the image. Now I need to know how to run it automatically when screen shot is created.
– Sigur
Feb 22 at 15:03
For the frame around formula in LaTeX, simply useboxed{...}inside the math context. Of course, to get the wide white horizontal margin you would have to manually add some space withhspaceorqquad
– Jhor
Feb 22 at 20:55
add a comment |
How did you produce the frame around the image?
– Sigur
Feb 22 at 13:55
@Sigur, it is not part oflatexcode, but drawn by Snipping Tool, which i use for copping image from pdf previewer to site. in it i select optionShow Ink selection ...
– Zarko
Feb 22 at 14:01
Ah, OK. I use Shutter. Maybe there is such frame option there.
– Sigur
Feb 22 at 14:02
Thanks to you I've just created a plugin for Shutter to add 1px solid blue frame around the image. Now I need to know how to run it automatically when screen shot is created.
– Sigur
Feb 22 at 15:03
For the frame around formula in LaTeX, simply useboxed{...}inside the math context. Of course, to get the wide white horizontal margin you would have to manually add some space withhspaceorqquad
– Jhor
Feb 22 at 20:55
How did you produce the frame around the image?
– Sigur
Feb 22 at 13:55
How did you produce the frame around the image?
– Sigur
Feb 22 at 13:55
@Sigur, it is not part of
latex code, but drawn by Snipping Tool, which i use for copping image from pdf previewer to site. in it i select option Show Ink selection ...– Zarko
Feb 22 at 14:01
@Sigur, it is not part of
latex code, but drawn by Snipping Tool, which i use for copping image from pdf previewer to site. in it i select option Show Ink selection ...– Zarko
Feb 22 at 14:01
Ah, OK. I use Shutter. Maybe there is such frame option there.
– Sigur
Feb 22 at 14:02
Ah, OK. I use Shutter. Maybe there is such frame option there.
– Sigur
Feb 22 at 14:02
Thanks to you I've just created a plugin for Shutter to add 1px solid blue frame around the image. Now I need to know how to run it automatically when screen shot is created.
– Sigur
Feb 22 at 15:03
Thanks to you I've just created a plugin for Shutter to add 1px solid blue frame around the image. Now I need to know how to run it automatically when screen shot is created.
– Sigur
Feb 22 at 15:03
For the frame around formula in LaTeX, simply use
boxed{...} inside the math context. Of course, to get the wide white horizontal margin you would have to manually add some space with hspace or qquad– Jhor
Feb 22 at 20:55
For the frame around formula in LaTeX, simply use
boxed{...} inside the math context. Of course, to get the wide white horizontal margin you would have to manually add some space with hspace or qquad– Jhor
Feb 22 at 20:55
add a comment |
5
Like this?
documentclass{report}
usepackage{amsmath}
begin{document}
[ Bigglvert
frac{partial^{k+l}u_0}
{partial^{k_1}{x_1},
partial^{k_2}{x_2},
partial^{l}{t}}
Biggrvert leq C,
]
end{document}
answered Feb 22 at 13:46
SigurSigur
26.1k457142
1
The notation here is wrong I’m afraid. Thek_1,k_2andlshould follow the variables, not thepartialsigns. See i.stack.imgur.com/Jc3v8.png
– Ruixi Zhang
Feb 23 at 13:04
add a comment |
5
Like this?
documentclass{report}
usepackage{amsmath}
begin{document}
[ Bigglvert
frac{partial^{k+l}u_0}
{partial^{k_1}{x_1},
partial^{k_2}{x_2},
partial^{l}{t}}
Biggrvert leq C,
]
end{document}
answered Feb 22 at 13:46
SigurSigur
26.1k457142
1
The notation here is wrong I’m afraid. Thek_1,k_2andlshould follow the variables, not thepartialsigns. See i.stack.imgur.com/Jc3v8.png
– Ruixi Zhang
Feb 23 at 13:04
add a comment |
5
5
5
Like this?
documentclass{report}
usepackage{amsmath}
begin{document}
[ Bigglvert
frac{partial^{k+l}u_0}
{partial^{k_1}{x_1},
partial^{k_2}{x_2},
partial^{l}{t}}
Biggrvert leq C,
]
end{document}
answered Feb 22 at 13:46
SigurSigur
26.1k457142
Like this?
documentclass{report}
usepackage{amsmath}
begin{document}
[ Bigglvert
frac{partial^{k+l}u_0}
{partial^{k_1}{x_1},
partial^{k_2}{x_2},
partial^{l}{t}}
Biggrvert leq C,
]
end{document}
answered Feb 22 at 13:46
SigurSigur
26.1k457142
edited Feb 22 at 13:53
answered Feb 22 at 13:46
SigurSigur
26.1k457142
answered Feb 22 at 13:46
SigurSigur
26.1k457142
answered Feb 22 at 13:46
SigurSigur
26.1k457142
26.1k457142
1
The notation here is wrong I’m afraid. Thek_1,k_2andlshould follow the variables, not thepartialsigns. See i.stack.imgur.com/Jc3v8.png
– Ruixi Zhang
Feb 23 at 13:04
add a comment |
1
The notation here is wrong I’m afraid. Thek_1,k_2andlshould follow the variables, not thepartialsigns. See i.stack.imgur.com/Jc3v8.png
– Ruixi Zhang
Feb 23 at 13:04
1
1
The notation here is wrong I’m afraid. The
k_1, k_2 and l should follow the variables, not the partial signs. See i.stack.imgur.com/Jc3v8.png– Ruixi Zhang
Feb 23 at 13:04
The notation here is wrong I’m afraid. The
k_1, k_2 and l should follow the variables, not the partial signs. See i.stack.imgur.com/Jc3v8.png– Ruixi Zhang
Feb 23 at 13:04
add a comment |
1
documentclass{article}
begin{document}
$ left | frac{partial^{k+1}u_0}{{partial x_1}^{k_1} {partial x_2}^{k_2} partial t^l} right | leq C $
end{document}
answered Feb 22 at 13:46
Sina AhmadiSina Ahmadi
77338
add a comment |
1
documentclass{article}
begin{document}
$ left | frac{partial^{k+1}u_0}{{partial x_1}^{k_1} {partial x_2}^{k_2} partial t^l} right | leq C $
end{document}
answered Feb 22 at 13:46
Sina AhmadiSina Ahmadi
77338
add a comment |
1
1
1
documentclass{article}
begin{document}
$ left | frac{partial^{k+1}u_0}{{partial x_1}^{k_1} {partial x_2}^{k_2} partial t^l} right | leq C $
end{document}
answered Feb 22 at 13:46
Sina AhmadiSina Ahmadi
77338
documentclass{article}
begin{document}
$ left | frac{partial^{k+1}u_0}{{partial x_1}^{k_1} {partial x_2}^{k_2} partial t^l} right | leq C $
end{document}
answered Feb 22 at 13:46
Sina AhmadiSina Ahmadi
77338
edited Feb 22 at 13:48
answered Feb 22 at 13:46
Sina AhmadiSina Ahmadi
77338
answered Feb 22 at 13:46
Sina AhmadiSina Ahmadi
77338
answered Feb 22 at 13:46
Sina AhmadiSina Ahmadi
77338
77338
add a comment |
add a comment |
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