2,579 reputation
1933
bio website ephorie.de
location Germany
age 44
visits member for 3 years, 11 months
seen 2 days ago

just an amateur fascinated by math


Jun
16
comment Examples for proof of geometric vs. algebraic multiplicity
I see, anyway: examples are always good to exemplify the theory (at least I desperately need them!) - perhaps you could extend your answer? Thank you in any case!
Jun
16
comment Examples for proof of geometric vs. algebraic multiplicity
Thank you. Unfortunately you don't give any examples that connect to the proof as I asked. Perhaps you can add some? Thank you again!
Jun
16
asked Examples for proof of geometric vs. algebraic multiplicity
Jun
15
accepted Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work?
Jun
14
comment Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work?
So this implies $\frac{z^k+\overline{z}^k}{2}={\rm Re}(z^k)$ and $\frac{z^k-\overline{z}^k}{2}=i{\rm Im}(z^k)$, right?
Jun
14
comment Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work?
Thank you, this clarifies quite a bit. The step seems even to hold when k is real - how does this work?
Jun
14
comment Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work?
Thank you anyway. I agree, the last step is the crucial one. Btw: you have an extra "$" in the following line: "We rewrite this as..."
Jun
14
comment Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work?
@mpiktas: Could you please elaborate - thank you!
Jun
14
revised Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work?
added 118 characters in body; added 15 characters in body
Jun
14
asked Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work?
Jun
10
accepted Function for concatenated semicircles
Jun
10
accepted Question about direct sum of function space
Jun
9
revised Question about direct sum of function space
added 233 characters in body; deleted 6 characters in body
Jun
9
comment Question about direct sum of function space
I think what confuses me is that we start with $\mathbb R^3$ and end up with it. It would come more natural if we started with $\mathbb R$ and after taking the direct sum three times would end in $\mathbb R^3$.
Jun
9
comment Question about direct sum of function space
I think what confuses me is that we start with $\mathbb R^3$ and end up with it. It would come more natural if we started with $\mathbb R$ and after taking the direct sum three times would end in $\mathbb R^3$.
Jun
9
comment Question about direct sum of function space
@Dactyl: Could you please elaborate? So I don't get it...
Jun
9
asked Question about direct sum of function space
Jun
9
comment Function for concatenated semicircles
WA-plot: wolframalpha.com/input/?i=Plot+%28-1%29^%28Floor%5B%28x%2F2+%2B+0.5%2‌​9%5D%29+Sqrt%5B1+-+%28x+-+2+Floor%5Bx%2F2+%2B+0.5%5D%29^2%5D - How did you find it?
Jun
9
comment Function for concatenated semicircles
I now remember that I stumbled upon this phenomenon when you iterate trig funcs: wolframalpha.com/input/… - perhaps this helps and can be combined with some of the other ideas here?!?
Jun
9
comment Function for concatenated semicircles
@Zev: I don't know how to fix this, but I think it goes into the right direction. Floor func is ok.