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May
20
answered Non-traditional math concepts for early education
May
13
comment What exactly IS a square root?
@paqogomez Fixed.
May
13
revised What exactly IS a square root?
edited body
May
12
awarded  Nice Answer
May
12
comment What exactly IS a square root?
@lhf Depends on context. Most people seem to mean the positive solution, but sometimes people seem to mean any solution. (E.g., when dealing with complex numbers.)
May
12
answered What exactly IS a square root?
Apr
28
awarded  Notable Question
Apr
28
comment Definition of prime element in a Euclidean ring does not make sense. Herstein - Topics in Algebra
This. Most people probably think of the statement "5 is prime" has being a universal fact, not something that's only true in certain contexts. I vaguely remember something about limits that exist in one field but don't exist in a slightly larger field.
Apr
25
awarded  Yearling
Apr
20
awarded  Famous Question
Jan
19
comment What's your favorite proof accessible to a general audience?
The vast majority of the general audience seem to think that "mathematics is about numbers". I like this example because it has almost nothing to do with numbers; it demonstrates that maths is far more than just opaque equations and stuff.
Dec
22
awarded  Popular Question
Nov
25
comment Uniform vs variable geometries
Cool. Well, I've certainly learned some things tonight. If you could summarise this information as an answer, I think it essentially covers what I was asking about...
Nov
25
comment Uniform vs variable geometries
Interesting. A cylinder has zero curvature everywhere, but doesn't appear to have the property of all directions being "the same"; if I travel around the radius, I quickly return to where I started, but if I travel along the other axis, I can travel forever without ever arriving back where I started...
Nov
25
comment Uniform vs variable geometries
I take it the three geometries above are not the only ones having this property then?
Nov
25
comment Uniform vs variable geometries
@RandyE Yeah, I thought that might be the term. However, the Wikipedia article starts talking about "automorphism groups" and other such exotic terms. Also, it claims that the surface of a torus is considered homogeneous - while I would have thought that (for example) the inner edge of a torus is more sharply curved than the outer edge...
Nov
25
comment Spherical geometry vs elliptic geometry
@ThomasAndrews Is that really the only difference? (A guess a small change in the axioms probably makes a big difference to the consequences...) And if so, care to make that into an answer?
Nov
25
asked Uniform vs variable geometries
Nov
25
asked Spherical geometry vs elliptic geometry
Oct
8
awarded  Good Answer