3d-function-8.tex: convert argument of sin() to degrees. #43
Conversation
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
tikz apparently expectes the argument to sin() in degrees. This is in strong contrast to the usual conventions in math, where the argument is expected in radians. With this example it actually provides a bogus graph - it actually should approach f(x,y) = 1 for large x and y (since 1/(x^2+y^2) is small for large x,y; hence sin(1/(x^2+y^2)) can be approximated by 1/(x^2+y^2), resulting in f(x,y) -> 1 for large x,y). Also I've adjusted the plot range a bit, since this then actually shows the "interesting" center of the function (x=y=0).
|
also the roughness of the graph is probably due to numerical issues within tex. It really should be a quite smooth surface, making this a very misleading image in the article on Differenzierbarkeit (german wikipedia) |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
tikz apparently expectes the argument to sin() in degrees. This is in
strong contrast to the usual conventions in math, where the argument is
expected in radians.
With this example it actually provides a bogus graph - it actually
should approach f(x,y) = 1 for large x and y (since 1/(x^2+y^2) is
small for large x,y; hence sin(1/(x^2+y^2)) can be approximated by
1/(x^2+y^2), resulting in f(x,y) -> 1 for large x,y).
Also I've adjusted the plot range a bit, since this then actually shows
the "interesting" center of the function (x=y=0).
Note that this image is used in Wikipedia ( https://de.wikipedia.org/wiki/Datei:3d-function-8.svg ) and should be updated there as well.