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Jan
25
comment Is there something special about 2015?
xkcd.com/1122
Jan
24
revised Find the limit without using Maclaurin series
wrong word
Jan
24
suggested approved edit on Find the limit without using Maclaurin series
Jan
23
comment What's your favorite proof accessible to a general audience?
If you wanted an inaccessible proof of an accessible fact to a general audience, I'd suggest the proof of the fact that the shortest path between two points is a straight line...
Jan
23
comment Can a complex number ever be considered 'bigger' or 'smaller' than a real number, or vice versa?
If you can place partial orders on matrices you can certainly do the same for complex numbers!
Jan
22
awarded  Notable Question
Jan
14
comment Value of an unbounded definite integral
Would be nice if you could explain how you figured out what to substitute for $x$ and $y$.
Jan
13
comment Why are primes considered to be the “building blocks” of the integers?
Could you explain why the second fact is non-obvious? To me the proof seems quite trivial: first, assume the factorization isn't unique. Then write down two different prime factorizations of the number. Now divide by all common factors on both sides to cancel them. There must be at least one prime number left on one of the sides of the equality (otherwise the prime factorizations weren't different to begin with). Clearly the other side isn't a multiple of that prime, because it doesn't have that prime as a factor. Hence it cannot be the same number. What's wrong with this proof?
Jan
12
answered Is there a law that you can add or multiply to both sides of an equation?
Jan
11
comment Is there a domain “larger” than (i.e., a supserset of) the complex number domain?
@user507974: So at some point do you lose everything?
Jan
8
comment When is differentiating an equation valid?
if two things are equal then they're the same thing, clearly doing something to one of them must be equivalent to doing it to the other one (because you're claiming they're the same thing)...
Jan
7
answered How do I find this limit?
Jan
2
comment What is a function?
Since this question and answer is quite nuanced I think you should take care to use the symbols $\{\to, \mapsto, \triangleq, \equiv, =\}$ very precisely instead of using $=$ for everything. For example, the statements $f(x) = 2x$ is not a function definition; it's just an equality statement assumed to hold for all $x$ in the domain of $f$. The definition could be $$f : \mathbb{R} \to \mathbb{R}\,;\ \ \ f \triangleq x \mapsto 2x$$ and one can also say that $$f \equiv x \mapsto 3x - x$$ but it's obviously not the definition itself, and to distinguish them you need different notations for each.
Jan
2
awarded  Enthusiast
Jan
1
revised Solve a system of differential equations
added 98 characters in body
Jan
1
revised Solve a system of differential equations
added 3 characters in body
Jan
1
revised Solve a system of differential equations
added 3 characters in body
Jan
1
answered Solve a system of differential equations
Dec
26
awarded  Nice Answer
Dec
25
answered Easy example why complex numbers are cool