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May
7
reviewed Leave Closed $1 + 1 + 1 +\cdots = -\frac{1}{2}$
May
6
reviewed Leave Closed Autonomous Equations question!
May
6
reviewed Reject suggested edit on Number of ways to pick 3 people where no 2 of them are next to each other!
May
2
reviewed Looks OK Cluster point and Limit Point
May
2
revised Calculating this integral: $I=\int_{0}^{\infty}(\log t)\,(\tan^2t)\,\mathrm{d}t$
$$ in titles takes up too much space on the main page
May
1
comment Quick question about notation and pronunciation of indices: (i+1)st or (i+1)th?
@stackErr: Numbers such as $21$? If so, you speak a rather different dialect of English than I do...
Apr
29
answered smooth surjective map from lower dimensional manifold onto higher dimensional manifold?
Apr
25
answered Proof that if T is Transitive Tournament T Has Unique Hamiltonian Path
Apr
25
comment Proof that if T is Transitive Tournament T Has Unique Hamiltonian Path
"$T$ has a unique Hamiltonian path" can be broken down into two simpler statements: "$T$ has a Hamiltonian path" and "$T$ has no more than one Hamiltonian path." Which one(s) are you struggling with?
Apr
25
revised Evaluating $\int \frac{1}{9+4x^2} dx$
added 4 characters in body; edited title
Apr
24
revised Prove $\forall u,v,x,y,z,w \in \mathbf{R}^+, \frac{u}{v} < \frac{x}{y} \wedge \frac{x}{y} < \frac{z}{w} \implies \frac{u + z}{v+w} < \frac{z}{w}$
$$ in titles takes up too much space on the main page
Apr
22
answered Odds in Pascal's Triangle
Apr
21
comment Let $n$ be a positive integer. Show that if $2^n -1$ is a prime number, then $n$ is a prime number.
I think you mean "contrapositive," not "converse" (the converse statement is actually false).
Apr
20
reviewed Reopen How many equilateral triangles can be inscribed in a triangle?
Apr
19
comment How to understand “Union of balls centered at rational numbers is way less than $\mathbb{R}$
You might think of $f$ as giving you the rationals sorted by complexity. Then an irrational number not in $S$ would be one that doesn't have any "good, simple" rational approximations. That is, as your rational approximations get better, they also get more complicated, faster than they get better. The actual identities of these irrationals are going to depend on your choices of $f$ and $\epsilon$, but good places to look would be numbers with small continued fraction coefficients (like the golden ratio) as they are hard to rationally approximate.
Apr
16
revised Definite Integral $\int_{-\infty}^{\infty}\frac{x\sin x}{(x^2+a^2)(x^2+b^2)}\,\mathrm{d}x$
\displaystyle in title takes up too much vertical space on the main page
Apr
15
answered Is the reasoning/algebra for my proof correct? (musical tuning theory proof)
Apr
15
comment Is the reasoning/algebra for my proof correct? (musical tuning theory proof)
If you want both $m$ and $n$ to be positive integers, you should probably be looking at the equation $(3/2)^m=2^n$ rather than $(3/2)^m=(1/2)^n$...
Apr
10
comment Whats the differences between the real-entire functions on $\mathbb R^{2}$ and complex entire functions on $\mathbb C$?
Related: math.stackexchange.com/questions/189366/…
Apr
10
comment Coefficients of the expansion of $(x+a)^2$ makes a perfect square?!
Notice that it doesn't work when $a=4$: $1816$ is not a perfect square. Based on Trogdor's answer, you should be able to figure out why...