On Mon, 25 Aug 2008 16:50:43 -0700 (PDT)
Jason Merrill <[EMAIL PROTECTED]> wrote:

> 
> On Aug 25, 12:50 pm, "William Stein" <[EMAIL PROTECTED]> wrote:
<snip>
> >
> > Burcin -- I did actually mostly implement pattern matching in Pynac.
> > Some examples:
<snip examples>

> >             sage: (sin(x)^2 + cos(x)^2).subs(sin(w0)^2+cos(w0)^2==1)
> >             1
> >             sage: (1 + sin(x)^2 + cos(x)^2).subs(sin(w0)^2+cos(w0)^2==1)
> >             sin(x)^2 + cos(x)^2 + 1
> >             sage: (17*x + sin(x)^2 + cos(x)^2).subs(w1 +
> > sin(w0)^2+cos(w0)^2 == w1 + 1)
> >             17*x + 1
> >             sage: ((x-1)*(sin(x)^2 + cos(x)^2)^2).subs(sin(w0)^2+cos(w0)^2 
> > == 1)
> >             x - 1
> 
> Awesome.  Thanks for making all this happen.  I'm really excited about
> where Sage is going.  I've only been watching for a couple weeks now,
> but I think I chose a fun time to find out about it.
> 
> Is the syntax for this stuff set in stone?  I'm not sure I like the
> equality inside the subs call.  Equality is reflexive, but
> substitution is a one way operation.  What about a dictionary, sage: (a
> +2*b).subs({a+b:x}), or even just a single equal sign, like keyword
> args, sage: (a+2*b).subs(a+b=x).  The double equals would work too,
> but now is probably a better time for discussion than later.

I am also in favor of the dictionary and/or keyword arguments (which are
equivalent from the programming pov). This is also the current
interface for other subs functions in Sage. 

I realized that William had already wrapped these functions right after
I wrote the message saying I'll get to it soon. Though when I tried
using them, I expected them to work with keyword arguments, and had to
look in the docs. 

I suggest we change this back to be consistent with the already
existing objects in Sage.

Comments?


Burcin

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