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visits member for 2 years, 6 months
seen Jul 25 at 20:18

Sep
22
comment How to divide currency?
@RodCarvalho: Sure enough, we as mathematicians can shed some light on various optimality conditions, and previous solutions to this problem. Repeating the problem statement in mathy words is not an answer at all.
Sep
22
comment Statements in Euclidean geometry that appear to be true but aren't
Uhm... isn't this one true?
Sep
22
comment How to divide currency?
Suppose you only have 2 and 3 cent coins, then you can have 1 cent net exchanges.
Sep
22
comment How to divide currency?
I don't think this is a very mathematical or enriching answer.
Sep
22
comment What are imaginary numbers?
@MakotoKato: I agree with you insofar that the idea of atoms is very real, and it very neatly describes the small thingies we're seeing through a microscope. I feel you are also completely missing my point, however.
Sep
21
comment What are imaginary numbers?
@MakotoKato: If "to exist" is defined in the sense that you can see or feel it, yes, but feel free to propose a clear definition of existence. However, my point is that imaginary numbers are just an idea, just like stories and limited liability companies, and in that sense they are just as "real" as integers.
Sep
21
comment What are imaginary numbers?
@MakotoKato: Schroedinger's equation does not exist in the physical sense, it's just an idea which apparently is very applicable to the measurable world.
Sep
20
comment What are imaginary numbers?
@MJD: this is exactly the confusion many people have with numbers, and which I am trying to point out, but it may be obvious that there is no way to measure love in the way you measure an electric potential. However, the /explanation/ of love is a very helpful one.
Sep
20
comment Studying mathematics efficiently
@Graphth: SOME humans learn about 70% of what they learn by doing, yes, but it is a rather short-sighted statement to say that this is true in general.
Sep
20
comment Studying mathematics efficiently
This is very much an example of what Matt said. I personally do not benefit from exercises at all - I either get the material or I don't. If I don't get it, I am helped by more theory and examples, but exercises hardly ever help me.
Sep
20
comment What are imaginary numbers?
Real numbers don't "exist" either, they're all just mathematicians' ideas.
Sep
20
awarded  Enthusiast
Sep
18
comment Example where $f\circ g$ is bijective, but neither $f$ nor $g$ is bijective
Interestingly, your functions are bijections, but on different domains and codomains.
Sep
17
comment Advice for choosing an MSc or PhD.
If I get your answer correctly, a MMath is "lower" than a MSc, is that right? Then what is the difference between a MMath from Warwick and a MMath from Cambridge?
Sep
17
comment Prove that every open set in $\mathbb{R}$ is a disjoint union of open intervals
you are right, I was confused by Clive's answer :)
Sep
17
comment Prove that every open set in $\mathbb{R}$ is a disjoint union of open intervals
3. prove that this gives you a countable set of classes
Sep
12
comment How many subsets are there in a set of size $n$? No combinatorics
Try induction, perhaps.
Sep
4
answered how to be good at proving?
Sep
3
comment Method of Least Squares-Why is it preferred?
Mathematically, an error is defined as the absolute value of the difference, and errors never cancel out.
Sep
3
comment Method of Least Squares-Why is it preferred?
Please define "negative error", and in any case, clarify your question.