3D complex plane? [closed]
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I was bored during my history class, so I decided to try and evaluate negative logarithms. While doing so, I found that they are complex numbers. I was thinking of how to plot/graph the function and it’s points and thought about 2 ideas. The first is a 3D plane with the x y and z axis all being imaginary, but then I also thought about havin 2 real and one imaginary axis. Would effect would this have, and is it useful for other concepts?
complex-numbers logarithms graphing-functions 3d
asked Nov 21 at 21:01
Jon due
598
closed as unclear what you're asking by Lord Shark the Unknown, Jean-Claude Arbaut, rschwieb, Holo, José Carlos Santos Nov 21 at 21:13
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
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I was bored during my history class, so I decided to try and evaluate negative logarithms. While doing so, I found that they are complex numbers. I was thinking of how to plot/graph the function and it’s points and thought about 2 ideas. The first is a 3D plane with the x y and z axis all being imaginary, but then I also thought about havin 2 real and one imaginary axis. Would effect would this have, and is it useful for other concepts?
complex-numbers logarithms graphing-functions 3d
asked Nov 21 at 21:01
Jon due
598
closed as unclear what you're asking by Lord Shark the Unknown, Jean-Claude Arbaut, rschwieb, Holo, José Carlos Santos Nov 21 at 21:13
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
Not sure what you mean. You can plot this (look for the 3d plots): wolframalpha.com/input/?i=plot+abs(log(z)) wolframalpha.com/input/?i=plot+arg(log(z))
– Jean-Claude Arbaut
Nov 21 at 21:04
I thought you couldn’t graph complex function in 2D?
– Jon due
Nov 21 at 21:06
You can plot (in 3d) the absolute value or the argument of $f(u)$ (which are real functions of the complex $u$), and use $x,y$ axes to represent the complex number $u$ (that is, $u=x+iy$). That's what you can see above. You can also plot this in 2d only by using contour plots. What are you trying to do exactly?
– Jean-Claude Arbaut
Nov 21 at 21:10
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
I was bored during my history class, so I decided to try and evaluate negative logarithms. While doing so, I found that they are complex numbers. I was thinking of how to plot/graph the function and it’s points and thought about 2 ideas. The first is a 3D plane with the x y and z axis all being imaginary, but then I also thought about havin 2 real and one imaginary axis. Would effect would this have, and is it useful for other concepts?
complex-numbers logarithms graphing-functions 3d
asked Nov 21 at 21:01
Jon due
598
I was bored during my history class, so I decided to try and evaluate negative logarithms. While doing so, I found that they are complex numbers. I was thinking of how to plot/graph the function and it’s points and thought about 2 ideas. The first is a 3D plane with the x y and z axis all being imaginary, but then I also thought about havin 2 real and one imaginary axis. Would effect would this have, and is it useful for other concepts?
complex-numbers logarithms graphing-functions 3d
complex-numbers logarithms graphing-functions 3d
asked Nov 21 at 21:01
Jon due
598
asked Nov 21 at 21:01
Jon due
598
asked Nov 21 at 21:01
Jon due
598
asked Nov 21 at 21:01
Jon due
598
asked Nov 21 at 21:01
Jon due
598
598
closed as unclear what you're asking by Lord Shark the Unknown, Jean-Claude Arbaut, rschwieb, Holo, José Carlos Santos Nov 21 at 21:13
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
closed as unclear what you're asking by Lord Shark the Unknown, Jean-Claude Arbaut, rschwieb, Holo, José Carlos Santos Nov 21 at 21:13
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
Not sure what you mean. You can plot this (look for the 3d plots): wolframalpha.com/input/?i=plot+abs(log(z)) wolframalpha.com/input/?i=plot+arg(log(z))
– Jean-Claude Arbaut
Nov 21 at 21:04
I thought you couldn’t graph complex function in 2D?
– Jon due
Nov 21 at 21:06
You can plot (in 3d) the absolute value or the argument of $f(u)$ (which are real functions of the complex $u$), and use $x,y$ axes to represent the complex number $u$ (that is, $u=x+iy$). That's what you can see above. You can also plot this in 2d only by using contour plots. What are you trying to do exactly?
– Jean-Claude Arbaut
Nov 21 at 21:10
add a comment |
Not sure what you mean. You can plot this (look for the 3d plots): wolframalpha.com/input/?i=plot+abs(log(z)) wolframalpha.com/input/?i=plot+arg(log(z))
– Jean-Claude Arbaut
Nov 21 at 21:04
I thought you couldn’t graph complex function in 2D?
– Jon due
Nov 21 at 21:06
You can plot (in 3d) the absolute value or the argument of $f(u)$ (which are real functions of the complex $u$), and use $x,y$ axes to represent the complex number $u$ (that is, $u=x+iy$). That's what you can see above. You can also plot this in 2d only by using contour plots. What are you trying to do exactly?
– Jean-Claude Arbaut
Nov 21 at 21:10
Not sure what you mean. You can plot this (look for the 3d plots): wolframalpha.com/input/?i=plot+abs(log(z)) wolframalpha.com/input/?i=plot+arg(log(z))
– Jean-Claude Arbaut
Nov 21 at 21:04
Not sure what you mean. You can plot this (look for the 3d plots): wolframalpha.com/input/?i=plot+abs(log(z)) wolframalpha.com/input/?i=plot+arg(log(z))
– Jean-Claude Arbaut
Nov 21 at 21:04
I thought you couldn’t graph complex function in 2D?
– Jon due
Nov 21 at 21:06
I thought you couldn’t graph complex function in 2D?
– Jon due
Nov 21 at 21:06
You can plot (in 3d) the absolute value or the argument of $f(u)$ (which are real functions of the complex $u$), and use $x,y$ axes to represent the complex number $u$ (that is, $u=x+iy$). That's what you can see above. You can also plot this in 2d only by using contour plots. What are you trying to do exactly?
– Jean-Claude Arbaut
Nov 21 at 21:10
You can plot (in 3d) the absolute value or the argument of $f(u)$ (which are real functions of the complex $u$), and use $x,y$ axes to represent the complex number $u$ (that is, $u=x+iy$). That's what you can see above. You can also plot this in 2d only by using contour plots. What are you trying to do exactly?
– Jean-Claude Arbaut
Nov 21 at 21:10
add a comment |
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Not sure what you mean. You can plot this (look for the 3d plots): wolframalpha.com/input/?i=plot+abs(log(z)) wolframalpha.com/input/?i=plot+arg(log(z))
– Jean-Claude Arbaut
Nov 21 at 21:04
I thought you couldn’t graph complex function in 2D?
– Jon due
Nov 21 at 21:06
You can plot (in 3d) the absolute value or the argument of $f(u)$ (which are real functions of the complex $u$), and use $x,y$ axes to represent the complex number $u$ (that is, $u=x+iy$). That's what you can see above. You can also plot this in 2d only by using contour plots. What are you trying to do exactly?
– Jean-Claude Arbaut
Nov 21 at 21:10