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Re: Applying Mathematica to practical problems
Posted:
Jun 3, 2013 11:13 PM


On 3 Jun 2013, at 17:14, Richard Fateman <fateman@EECS.Berkeley.EDU> wrote:
> On 6/3/2013 8:01 AM, Richard Fateman wrote: > I said.. > Solve[x+1==x,x] returns {} > yet > 1`0 +1`0 == 1`0 returns True. > > oops. make that last line 1`0+1 == 1`0 . > > Changing the semantics of == to the semantics of === may help > in some circumstances, but it seems to me we went through this > before. > RJF
I forgot to deal with this little thing. Solve solves over the (exact) complex numbers. 1`0 is not an exact real number hence it is not an exact complex number. Nonexact reals and complexes are not included so your "proof" is just a bluff.
Andrzej Kozlowski
PS. I realize that Mathematica gives:
Element[1`0, Reals]
True
I have never liked this and I think it ought to be changed (unless something important depends on this).



