Re: Equals, Less, Greater, etc; Confused by this simple output.

*To*: mathgroup at smc.vnet.net*Subject*: [mg109853] Re: Equals, Less, Greater, etc; Confused by this simple output.*From*: Raffy <adraffy at gmail.com>*Date*: Wed, 19 May 2010 20:15:46 -0400 (EDT)*References*: <ht0gho$bn$1@smc.vnet.net>

On May 19, 4:03 am, telefunkenvf14 <rgo... at gmail.com> wrote: > 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 Equal will return true if the sides are identical (and not Indeterminate or Overflow). GreaterEqual, Greater, LessEqual, Less will only return true/false if its arguments are reals. To produce the desired result: Block[{a}, FullSimplify[{a == a, a <= a, a >= a, a < a, a > a}]]