MAKE A MEME View Large Image HomogeneousDiscontinuousFunction.gif en An example that shows that a homogeneous function does not have to be continuous This is the function f defined by f x y x if xy>0 or f x y 0 otherwise It is homogeneous of order 1 i e f a x a y a f x ...
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Keywords: HomogeneousDiscontinuousFunction.gif en An example that shows that a homogeneous function does not have to be continuous This is the function f defined by f x y x if xy>0 or f x y 0 otherwise It is homogeneous of order 1 i e f a x a y a f x y It is discontinuous at y 0 x / 0 own Sbyrnes321 2011-02-16 <pre> Source code in Mathematica 6 0 by Steve Byrnes 2011 eps 001; a ShowPlot3Dx x 0 1 y eps 1 PlotRange -> -1 1 -1 1 -1 1 Plot3D0 x -1 0 y eps 1 Plot3D0 x 0 1 y -1 -eps Plot3Dx x -1 0 y -1 -eps Plot3Dx 1 - y/eps /2 x -1 0 y -eps eps Plot3Dx 1 - y/eps /2 x 0 1 y -eps eps Export pic gif a</pre> Cc-zero Images with Mathematica source code Surface plots
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