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8h
answered Solving a limit
18h
revised Show a function's inverse is injective iff the function is surjective
added 12 characters in body
1d
revised Fixed Field of $\sigma, \tau$
improved readability
1d
answered Real analytic functions
1d
revised Months for the amount paid to be equal?
added 6 characters in body; edited tags; edited title
1d
comment Show that $f(n)$ is $O(g(n))$ then $f(n)+c$ is $O(g(n))$
I was just about to post this example; $+1$ from me.
2d
revised Inequality problem: Application of Cauchy-Schwarz inequality
corrected formatting
2d
reviewed Approve Proving that a complex number lies on the imaginary axis.
2d
revised Computing $\sqrt[3]{1\,}$
edited tags
2d
revised Computing $\sqrt[3]{1\,}$
fixed formatting
2d
comment Computing $\sqrt[3]{1\,}$
In a more-general setting, $\sqrt[3]{1}$ is actually multi-valued (in other words, it isn't necessarily always $1$).
Aug
27
comment Proving equivalence relations help
What is the relation?
Aug
26
comment How to remember proofs in group theory
Something that applies to mathematics in general (at least for me): understand what the theorems are really saying before trying to understand the proof. (In my case, if I don't understand what something is really saying, I try to come up with examples). That is to say, know the definitions well, and the theorems will make more sense. Once the theorems make more sense, try to understand the proofs better. Lastly, understanding the proofs is better than memorizing (you often need to know how to apply the theorems to other situations).
Aug
25
comment Struggling to stay at current course.
It's impossible to know what will be best for you and your family. My advice: follow what you enjoy. If you are good at math, the analytical skills will make you a profitable employee at many places. If you can sprinkle in some more practical skills along the way (e.g., programming), you will be an extremely formidable candidate in most job markets.
Aug
25
comment Integral of cos with constants
If there is no typo, the cosine part is constant with respect to the variable of integration (in which case, I'm sure you can solve this problem). If there is a typo, just use a $u$-substitution for whatever is inside the argument of the cosine, and proceed exactly as you wanted to before.
Aug
25
revised Where did I go wrong in my evaluation of the integral of cosine squared?
added 47 characters in body
Aug
25
revised Where did I go wrong in my evaluation of the integral of cosine squared?
added 47 characters in body
Aug
24
revised Lebsegue measure of $\{ 0<x \leq 1: x \sin \left(\frac{\pi}{2x}\right) \geq 0 \}$
added 18 characters in body
Aug
24
revised The asymptotic of the number of integers that are sums of three nonnegative cubes
added 2 characters in body
Aug
22
comment How to integrate: $\int \frac{\sec x}{\sqrt{\sin(2x + A) + \sin A}} dx$?
This is really, really clever! +$1$