# defining multivariate piecewise function

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!

defining multivariate piecewise function

`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!

add a comment

1

`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.

Asked: **
2017-02-11 07:24:14 -0500
**

Seen: **216 times**

Last updated: **Feb 11 '17**

How do I define a piecewise function?

How to declare variable for a function with other variable?

plot issue with a self-defined piecewise function

Defining a function and forcing max or min value

desolve_rk4 cannot handle a piecewise function

given an euclidean domain get the euclidean function

Animate plot of two piecewise functions

Is there a way do declare a python function or fast_callable fo a cython function ?

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.