Issue 1139: Description and Differentiation of vector, tensor, and
multivector fields.
http://code.google.com/p/sympy/issues/detail?id=1139
Comment #30 by [EMAIL PROTECTED]:
I am presenting the following design plan for improving the output of
generic
functions and their derivatives. I will clearly state what I can do and
need for
someone who understands sympy better than I do to do. My objective for my
programming methodology it to add to sympy and not change what is already
there. For
the purposes of improving the output notation the existing facilities shown
in the
following code will suffice:
x = sympy.symbols('x1','x2')
xt = tuple(x)
x1 = x[0]
x2 = x[1]
f = Function('f')(*xt)
g = Function('g')(*xt)
print 'f =',f
print 'g =',g
dfx1 = diff(f,x[0])
print 'dfx1 =',dfx1
dfx2 = diff(f,x[1])
print 'dfx2 =',dfx2
That is declaring a function with "f = Function('f')(*xt)" and a derivative
with
"dfx1 = diff(f,x[0])" will suffice if "Function" and "diff" are classes
that I can
use for the base classes of for example 'newFunction" and "newdiff" where
all the old
base class operations and functions are preserved except
for "__str__(self)". I will
need to access the base class string representation and use text processing
functions
that I will develop to output a LaTeX representation via my "__str__"
function for
the derived classes.
Additionally, I will the code so that when the program is in LaTeX output
mode stdout
will be redirected to a string. Any parts of the string not in LaTeX
format will be
converted to LaTeX format and a LaTeX preamble and postscript added to the
string.
The string will then be processed with latex and displayed with xdvi.
My problems are that when I try to derive a class from "Function" not all
the
operations are preserved (+ for example). Additionally, you documentation
states that
"diff" is not a class. Note that is "diff" works on an instantciation
of "myFuction"
there is no problem. Does "diff(f,x1)" return a function?
Attachments:
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