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From: Patrick Scheibe on 19 May 2010 20:10
Hi,

<snip>
> I would have thought that a <= a and a >= a would both evaluate to
> True, given that a == a does.

You cannot order complex numbers and now guess, what Mathematica uses
for "a".

Simplify[{a == a, a <= a, a >= a, a < a, a > a}, Element[a, Reals]]

{True, True, True, False, False}

Cheers
Patrick

From: David Park on 19 May 2010 20:10
If a was a complex number, or a matrix would it have a naturally defined
order?

Simplify[{a == a, a <= a, a >= a, a < a, a > a}, a \[Element] Reals]
{True, True, True, False, False}


David Park
djmpark(a)comcast.net
http://home.comcast.net/~djmpark/


From: telefunkenvf14 [mailto:rgorka(a)gmail.com]

Can someone offer an explanation for the following output?---I'm
trying to understand why it makes sense for Mathematica to be set up
to respond like this. (Of course, feel free to point out any glaringly
obvious math examples.)

In[1]:= {a == a, a <= a, a >= a, a < a, a > a}

Out[1]= {True, a <= a, a >= a, a < a, a > a}

I would have thought that a <= a and a >= a would both evaluate to
True, given that a == a does. Also, can something really be greater
than itself? Hmmm... maybe there's hope for me after all. :)

-RG



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