Thank you I will correct it.
On 04/02/2017 09:33 AM, szymon.mieszc...@gmail.com wrote:
Thank you for this manuscript and concept.
I wish I started working on proposal so late and I couldn't think on
your idea carefully before deadline.
Python is great language to overloading operator, but we need do it
wisely from structural point of view.
I just add short description in my proposal, and I will think about it
in April an May.
BTW:
I've found one typo in your document. On page 20 in the first line you
have "A *general general* multivector linear differential".
Szymon
W dniu niedziela, 2 kwietnia 2017 14:06:07 UTC+2 użytkownik brombo
napisał:
This may be getting too far afield but consider a scalar
differential operator class to build the vector differential
operator class. It is easy to define an algebra for the scalar
differential operator class. See section 2.3.3 in attached document.
On 04/02/2017 02:01 AM, szymon.m...@gmail.com <javascript:> wrote:
Thank you for your comment and suggestion.There are helpful.
Overloading operator is definitely great idea. It would be great
to implement this feature.
Proposal looks good. Only one comment and one suggestion. -
Comment: You need to be very careful when taking the square
root of an expression. Check the degree to which assumptions
propagate such as if u and v are declared real does sqrt()
know that sqrt(u**2+v**2) is also real.
Suggestion: Consider a vector differential operator class
(del operator) and then overloading * and ^ so that if f is a
scalar field and V a vector field you can write -
gradient of scalar field = del * f
divergence of vector field = del * V
curl of vector field = del ^ V
Laplacian of scalar field = del * (del * f)
In the future vector differential operators could be more
general than del and an algebra of differential operators
could be defined. For example if L is a linear
transformation (possibly a function of the coordinates) and
overload * so that L(V) = L * V then possible differential
operator could be -
(del * L) * V
or if M is another linear transformation
(del * L + M) * V
If defined correctly the Laplacian could be del * del.
On 04/01/2017 05:08 PM, szymon.m...@gmail.com wrote:
Hi,
I just put my proposal on wiki page:
https://github.com/sympy/sympy/wiki/GSoC-2017-Application-Szymon-Mieszczak:-Implementation-of-multiple-types-of-coordinate-systems-for-vectors
<https://github.com/sympy/sympy/wiki/GSoC-2017-Application-Szymon-Mieszczak:-Implementation-of-multiple-types-of-coordinate-systems-for-vectors>
If someone review it, I would be grateful.
Szymon
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