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Aug
21
answered Find real $x$ satisfying $|x + 1/x| < 4$.
Aug
21
comment Is there a cute proof of (Hausdorff space iff diagonal closed)?
Thanks for the extra detail!
Aug
21
comment Is there a cute proof of (Hausdorff space iff diagonal closed)?
Thanks, that's confirmed what I suspected.
Aug
21
accepted Is there a cute proof of (Hausdorff space iff diagonal closed)?
Aug
20
comment Am I calculating probability correctly?
If having older brothers only changes the probability of male homosexuality, then you would have to make two separate calculations: one based on how many older brothers male children have, and one calculation which assumes independence for the female children.
Aug
20
answered Am I calculating probability correctly?
Aug
19
asked Is there a cute proof of (Hausdorff space iff diagonal closed)?
Aug
17
answered Integral Notation of $M= c \rho_0 \int_{0}^{a}\ \mathsf dx\ \left(1+\frac{x}{a} \right)\left(\frac{bx^2}{2a^2}-\frac{bx}{a}+\frac{b}{2}\right)$
Aug
17
comment Integral Notation of $M= c \rho_0 \int_{0}^{a}\ \mathsf dx\ \left(1+\frac{x}{a} \right)\left(\frac{bx^2}{2a^2}-\frac{bx}{a}+\frac{b}{2}\right)$
You can write the dx wherever you want. It is usually at either the front or the back, and it's really just a matter of personal taste which.
Aug
16
comment The maximum value for b, when a tangent line to $f(x)=x^{4}-6x^{2}$ at a point $(a, f(a))$ intersects the y-axis at a point $(0,b)$?
Perhaps you should find the equation for a line tangent at $x_{0}$.
Aug
16
comment Integration - Advanced Techniques or Creative Solution
Perhaps useful: $\frac{\partial^{2} I}{\partial a^{2}}+\frac{\partial^{2} I}{\partial z^{2}}=0$
Aug
16
revised Closure of $\{\frac{1}{n}\}:=M$
added 4 characters in body
Aug
16
comment Let $\{a_n\}$ be a decreasing sequence of non-negative real numbers such that $\lim \inf (na_n)= 0$ , then is it true that $\lim (na_n)=0$?
Ha! Excellent answer
Aug
16
answered What is the least number of (fixed) parameters I can ask for, when calculating area of a triangle of unknown type?
Aug
16
answered Closure of $\{\frac{1}{n}\}:=M$
Aug
16
answered Evaluation of Gaussian integrals.
Aug
16
comment Evaluation of Gaussian integrals.
I would try integration by parts again - after two steps you should get the ordinary gaussian integral
Aug
16
answered Left cosets of $A_6$ in $S_6$
Aug
13
comment At least one of $|f(x)|$ and $|g(x)|$ not less than $a+1$
The quantifiers are wrong here. This establishes that "there is an $x$ with this property", but the OP wants it for every $x$.
Aug
11
answered Let p<q both be prime numbers. Prove that log is not rational number