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seen Dec 11 at 0:34

May
13
comment Prove the sequences $\lfloor \alpha n\rfloor $ and $\lfloor \beta n\rfloor $ are disjoint
Try to count how many numbers in both sequences together are of size at most $n$.
May
12
comment How do we pronounce this symbol?
@Mathias711 It used to be one of the community ads, I do not know if it is now.
May
12
comment How do we pronounce this symbol?
Detexify can sometimes help with this kind of question: detexify.kirelabs.org/classify.html
May
11
answered Prove that the following limit exists and find it!
May
11
revised Inscribed Angles in Two Cyclic Quadrilaterals
edited tags
May
11
answered Inscribed Angles in Two Cyclic Quadrilaterals
May
11
comment Inverse Identity + Constant Matrix
However, I would be quite impressed if someone found this without ever having seen something similar.
May
11
comment Inverse Identity + Constant Matrix
@AimForClarity First of all, I have seen the matrix with only 1s in other problems before, so its properties are already at the back of my head. In general, you can express any inverse matrix as polynomial in the matrix (just multiply the minimal polynomial by the inverse), so I am already motivated to look at this. To find the minimal polynomial directly, it is clearly useful to calculate $B^2$ and the identity $B^2=nB$ tells me that the minimal polynomial for $I+B$ must have degree 2, so the expression for the inverse (if it exists) must have degree 1 in $B$.
May
11
comment Generalization of Binomial Coefficients Congruence
@sm654567 I am not sure what you mean. What you want is usually the key lemma in any proof of Lucas theorem and it only uses elementary facts, the binomial theorem and the fact that $p$ does not divide factorials of smaller numbers.
May
10
answered Generalization of Binomial Coefficients Congruence
May
7
comment Inverse Identity + Constant Matrix
That is correct (if you replace a with c).
May
7
answered Inverse Identity + Constant Matrix
May
7
answered Find the determinant of the following;
May
4
revised Rational Numbers and farey fractions
edited tags
May
4
answered Partial sums for a power series
May
4
revised Partial sums for a power series
deleted 3 characters in body
May
4
comment What's the behavior of $\displaystyle\sum_{n=1}^\infty (z+\sqrt{5}+2i)^{n!}$ outside its radius of convergence?
@oxbadfood You have edited your mistake AFTER my comment, so it is not good form to ask "why are you telling it me now" as if the timeline were the reverse. Also, your new title (about behaviour outside the radius) is in direct contradiction to your actual question (behaviour ON the circle of convergence) which I already answered. I am giving up on this question.
May
4
comment What's the behavior of $\displaystyle\sum_{n=1}^\infty (z+\sqrt{5}+2i)^{n!}$ outside its radius of convergence?
@BobbyOcean I am not opposed to using the limsup formula, I am opposed to your wrong claim that "the ratio test yields no information". It is perfectly reasonable to use it for this problem.
May
4
answered Prove That $f(n+f(n))=n$
May
4
comment What's the behavior of $\displaystyle\sum_{n=1}^\infty (z+\sqrt{5}+2i)^{n!}$ outside its radius of convergence?
@oxbadfood The ratio test does NOT give you convergence for $|z-...|=1$.