There are also wildcards to use in the replacement matcher, unfortunately
in SymPy wild symbols often match too much or in an unexpected way.
Consider an attempt with a wild:
In [1]: w = Wild('w')
In [2]: cos(4*x+6).replace(w*(2*x+3), u*w)
Out[2]:
⎛ 2 ⎞
⎜ 4⋅u ⋅x 6⋅u ⎟
cos⎜────────── + ───────⎟
⎜ 2 2⋅x + 3⎟
⎝(2⋅x + 3) ⎠
It would be nice to have assumptions work on wildcards, in order to
restrict their matching possibilities.
On Friday, March 20, 2015 at 9:01:05 AM UTC+1, Paul Royik wrote:
>
>
> Yes. This version is not for me.
> x in front of cosine shouldn't be replaced.
>
> On Thursday, March 19, 2015 at 4:56:42 PM UTC+2, Mike Boyle wrote:
>>
>> It seems to me that the easy way to do this is to solve your replacement
>> for `x`:
>>
>> cos(4*x+6).subs(x, (u-3)/2)
>>
>> And if this is just a special case of a more general substitution, you
>> can of course do that solve step with sympy.
>>
>> I can't tell from your question, but this might not be exactly what you
>> wanted. For example, look at
>>
>> (x*cos(4*x+6)).subs(x, (u-3)/2)
>>
>> This will also replace the `x` out front. If you don't want that, you'd
>> need to do an even more complicated version of what Francesco suggests.
>>
>
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