File:HomogeneousDiscontinuousFunction.gif

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HomogeneousDiscontinuousFunction.gif(360 × 289 pixels, file size: 7 KB, MIME type: image/gif)

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current18:00, 16 February 2011Thumbnail for version as of 18:00, 16 February 2011360 × 289 (7 KB)commons>Sbyrnes321{{Information |Description ={{en|1=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

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