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Apr 5, 2013 at 18:26 comment added Lennart Meier In group theory (and surely also different parts of mathematics), there is the huge topic of normal forms. Normal forms are usually not canonical, there are many choices. To make the notion of simplifying precise, one should decide what it means for a polynomial/function to be in normal form. For a polynomial, there are some obvious choices.
Apr 5, 2013 at 17:08 vote accept Craig Feinstein
Apr 5, 2013 at 11:45 answer added XL _At_Here_There timeline score: 2
Apr 5, 2013 at 10:52 answer added Ronnie Brown timeline score: 2
Apr 5, 2013 at 2:44 answer added Ryan Reich timeline score: 4
Apr 5, 2013 at 1:50 comment added Ryan Budney Outside of very formal situations, every usage of "simplify" tends to be terminology with a conditioned meaning. You never tell people what it means (because you don't have the vocabulary for it) but you trust there is a built-up expectation for roughly what it means. Some students do not know what it means and would probably benefit from a more formal treatment.
Apr 5, 2013 at 0:17 comment added Andrés E. Caicedo (And this one: math.stackexchange.com/questions/180605/…)
Apr 5, 2013 at 0:15 comment added Andrés E. Caicedo @Gerald: There is this answer on MSE: math.stackexchange.com/questions/74347/…
Apr 4, 2013 at 23:43 answer added Rodrigo A. Pérez timeline score: 11
Apr 4, 2013 at 23:43 answer added François G. Dorais timeline score: 4
Apr 4, 2013 at 20:54 answer added Rob Ballantyne timeline score: 0
Apr 4, 2013 at 17:39 comment added Craig Feinstein If it were up to me, I would define a simplified mathematical expression as an expression that has the least possible Kolmogorov complexity and the least possible computational complexity.
Apr 4, 2013 at 16:53 comment added Gerald Edgar If I write "No", my answer will be rejected as too short. Surely a two-letter answer cannot be simplified any further.
Apr 4, 2013 at 15:35 answer added Fernando Pimentel timeline score: 3
Apr 4, 2013 at 14:59 comment added Mark Grant Good question. I always get uneasy when I see problems which implore students to "simplify" some expression. Even to declare something to be "simple" seems somewhat subjective.
Apr 4, 2013 at 14:55 history edited François G. Dorais
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Apr 4, 2013 at 14:19 answer added Henry Cohn timeline score: 36
Apr 4, 2013 at 14:18 answer added Carlo Beenakker timeline score: 9
Apr 4, 2013 at 14:04 history asked Craig Feinstein CC BY-SA 3.0