The following transcript shows some problems with the new (and rather
cool) symbolic package. Perhaps someone in the know could address
them, or file the relevant trac issue?
Nick
sage: exp(x*t).diff(t, 2)
xe
sage: exp(x^2*t).diff(t, 2)
xe
sage: exp(x^2*e^t).diff(t, 2)
---------------------------------------------------------------------------
<type 'exceptions.TypeError'> Traceback (most recent call last)
/Users/nalexand/Documents/School/MATH235/<ipython console> in <module>()
/Users/nalexand/sage/local/lib/python2.5/site-packages/sage/calculus/calculus.py
in derivative(self, *args)
1058 pass
1059 t = maxima('diff(%s, %s)'%(self._maxima_().name(), s))
-> 1060 f = self.parent()(t)
1061 return f
1062
/Users/nalexand/sage/local/lib/python2.5/site-packages/sage/calculus/calculus.py
in __call__(self, x)
281 elif hasattr(x, '_symbolic_'):
282 return x._symbolic_(self)
--> 283 return self._coerce_impl(x)
284
285 def _coerce_impl(self, x):
/Users/nalexand/sage/local/lib/python2.5/site-packages/sage/calculus/calculus.py
in _coerce_impl(self, x)
289 return x
290 elif isinstance(x, MaximaElement):
--> 291 return symbolic_expression_from_maxima_element(x)
292 elif is_Polynomial(x) or is_MPolynomial(x):
293 return SymbolicPolynomial(x)
/Users/nalexand/sage/local/lib/python2.5/site-packages/sage/calculus/calculus.py
in symbolic_expression_from_maxima_element(x)
4411
4412 def symbolic_expression_from_maxima_element(x):
-> 4413 return symbolic_expression_from_maxima_string(x.name())
4414
4415 def evaled_symbolic_expression_from_maxima_string(x):
/Users/nalexand/sage/local/lib/python2.5/site-packages/sage/calculus/calculus.py
in symbolic_expression_from_maxima_string(x, equals_sub, maxima)
4406 return x
4407 except SyntaxError:
-> 4408 raise TypeError, "unable to make sense of Maxima expression
'%s' in SAGE"%s
4409 finally:
4410 is_simplified = False
<type 'exceptions.TypeError'>: unable to make sense of Maxima expression
'x(ex+1)e' in SAGE
sage: exp(x^2*e^t).diff(t, 1)
xe
sage: exp(x^2*e^t).diff(t)
xe
sage: exp(x^2*exp(t)).diff(t)
xe
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