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Jun
2
comment What is the most general entire function that takes each complex value once and only once in C?
The Möbius Transformation is not defined on $\mathbb{C}$ but on $\overline{\mathbb{C}}$, because for $z=\frac{D}{C}$ your denumerator is $0$. You search the biholomorphic mappings from $\mathbb{C}$ to $\mathbb{C}$ which are exactly the affin linear mappings
May
3
comment When is the matrix of eigenvectors of a complex symmetric matrix orthogonal?
If $C^T C= I$ then $C^T $ is the inverse of $C$ and those commute. hence $C C^T=I$ too
May
3
comment When is the matrix of eigenvectors of a complex symmetric matrix orthogonal?
I really doubt, that your statement ist true, because finding such a Matrix $C$ such that $C^T C=I$ is equivalent to being normal. But every normal matrix is diagonalizable but complex symmetric matrices aren't diagonalizable in general
May
2
answered Easy way to remember Taylor Series for log(1+x)?
Apr
26
answered The graph has an Euler tour iff in-degree($v$)=out-degree($v$)
Apr
21
comment Existence of a continuous function which does not achieve a maximum.
A Little bit off Topic but is your $T_3$ necessarily Hausdorff?
Apr
21
revised Existence of a continuous function which does not achieve a maximum.
added 105 characters in body
Apr
21
answered Existence of a continuous function which does not achieve a maximum.
Apr
21
answered $L^p$ spaces and proper inclusion
Apr
21
comment $L^p$ spaces and proper inclusion
Are you sure that this is the exercise you should solve? Because the Statement is clearly wrong, as functions which are in $L^p$ for small $p$ are functions whose Peaks aren't to big and for big $p$ are those functions which goes to Zero fast enough
Mar
27
comment convergence of $a_n$ knowing that $a_n^n$ converges
@peter.petrov sorry got a flaw, even $1$ may be an accumulation Point of the sequence.
Mar
27
comment convergence of $a_n$ knowing that $a_n^n$ converges
@peter.petrov as I pointed out in the comments in Surb answer, the convergence of $(a_n^n)_{n\in \mathbb{N}}$ with the given setting only grants you that every accumulation Point is strict smaller 1
Feb
14
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Jan
29
awarded  Stellar Question
Sep
30
awarded  Explainer
Jul
2
awarded  Curious
May
26
comment Show that $f(x)=e^x$
How did you define the Exponentialfunction? because often it is defined that way
May
22
comment Induced Matrix Norm
Because $\|A\|_1 = \sup_{x\in B_1(0)\setminus\{0\}} \frac{\|Ax\|_1}{\|x\|_1} \geq \frac{\|Ax\|_1}{\|x\|_1}$
May
22
comment Induced Matrix Norm
Well if you find such an $x$ you know that $\|A\|_1 \geq C$ and $\|A\|_1 \leq C$.
May
21
answered Convergent subsequence for sin(n)