Timeline for Circular function with arbitrary radius and center
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Feb 14 at 9:47 | comment | added | Syed |
Thanks @UlrichNeumann, I have added R^2.
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| Feb 14 at 9:47 | history | edited | Syed | CC BY-SA 4.0 |
correction to the formula
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| Feb 14 at 9:30 | comment | added | Ulrich Neumann |
@Syed: Is the definition of f correct? I would expect f[x_, y_, c1_, c2_, R_] := UnitStep[R^2 - ( (x - c1)^2 + (y - c2)^2 )]
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| Feb 14 at 9:13 | comment | added | Syed | Many thanks, @user64494. | |
| Feb 14 at 9:10 | comment | added | user64494 | [CASE:5115048] has been submitted by me. | |
| Feb 14 at 8:31 | comment | added | user64494 |
There is a bug in the two-dimensional FourierTransform: f[x_, y_, c1_, c2_, R_] := FunctionExpand@UnitStep[1/(2 R) ((x - c1)^2 + (y - c2)^2)];ourierTransform[ Evaluate@f[x, y, 0, 0, 3], {x, y}, {\[Omega]1, \[Omega]2}] produces 2 \[Pi] DiracDelta[\[Omega]1] DiracDelta[\[Omega]2] though this is a usual Fourier transform of a usual function. InverseFourierTransform[%, {\[Omega]1, \[Omega]2}, {x, y}] results in 1.
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| Feb 14 at 8:24 | comment | added | Syed | Thanks @user64494. The Fourier transform exhibits the same difficulty with computation, but your point is taken. | |
| Feb 14 at 8:20 | comment | added | user64494 |
The right function in this situation is UnitBox instead of HeavisidePi. The HeavisidePi is an attempt (which leaves much to be desired) to implement the certain distribution in Mathematica, whereas UnitBox is a usual function.
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| Feb 14 at 8:01 | history | answered | Syed | CC BY-SA 4.0 |