Re: [sage-devel] Re: Bug in abs(I*x).diff(x)

2015-03-24 Thread Bill Page
I am still working on this in FriCAS and currently have an operational version 0.2. Although this is the Sage list, I would be glad to continue the discussion and especially with someone willing to review what I have developed so far in FriCAS. I think I now understand all this a bit better than I

[sage-devel] Re: Bug in abs(I*x).diff(x)

2015-03-24 Thread kcrisman
A related question just popped up on ask.sagemath: http://ask.sagemath.org/question/26279/complex-analysis-compute-bar-derivative Not exactly the same but I think it gets at the same underlying issues of "is it a complex variable or isn't it". -- You received this message because you are subsc

Re: [sage-devel] Re: Bug in abs(I*x).diff(x)

2014-11-14 Thread Bill Page
On 13 November 2014 14:47, maldun wrote: > > Although this has some sense in complex analysis one should be careful > with 'deriving' the absolute value, since it results in the weak derivative > ( http://en.wikipedia.org/wiki/Weak_derivative) , which is in a broader sense > the derivative in the

[sage-devel] Re: Bug in abs(I*x).diff(x)

2014-11-13 Thread maldun
The only clean solution for this behaviour would be a warning e.g: "Warning: This Identity holds only almost everywhere!" But I don't know if it's worth the effort ... -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group

[sage-devel] Re: Bug in abs(I*x).diff(x)

2014-11-13 Thread maldun
> > > This is in some sense good, since we don't have to care about the > derivative at zero, > but in an other sense it is not so good, since the subdifferential ∂abs(0) > = [0,1] is a bounded and with this definition one could come to the false > conclusion that abs(x) > has a pole, althoug

[sage-devel] Re: Bug in abs(I*x).diff(x)

2014-11-13 Thread maldun
We had a similar problem with the complex derivative of logarithms in combination with the complex conjugate, where I also the use of Wirtinger Operators would solve the problem: https://groups.google.com/forum/?hl=en#!topic/sage-support/bEMPMEYeZKU Having them in Sage would be a great achieveme