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defining multivariate piecewise function

asked 2017-02-11 14:24:14 +0200

maaaaaaartin gravatar image

I need to define some function like f(x,y) = x * sin(y)/y if y != 0, x otherwise, such that f can be differentiated. Is there a way to do so? Thanks!

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answered 2017-02-12 01:50:36 +0200

piecewise currently only supports a single variable, but in your case you could factor out the x and define

f(x,y) = x * piecewise([[(-oo,0), sin(y)/y], [[0,0], 1], [(0,oo), sin(y)/y]])

The square brackets around the origin denote a closed domain to ensure that point is included.

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Asked: 2017-02-11 14:24:14 +0200

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Last updated: Feb 12 '17