vonjd
Reputation
2,824
Top tag
Next privilege 3,000 Rep.
 Jun16 asked Examples for proof of geometric vs. algebraic multiplicity Jun15 accepted Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work? Jun14 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? Jun14 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? Jun14 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 "$" in the following line: "We rewrite this as..." Jun14 comment Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work? @mpiktas: Could you please elaborate - thank you! Jun14 revised Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work? added 118 characters in body; added 15 characters in body Jun14 asked Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work? Jun10 accepted Function for concatenated semicircles Jun10 accepted Question about direct sum of function space Jun9 revised Question about direct sum of function space added 233 characters in body; deleted 6 characters in body Jun9 comment Question about direct sum of function space I think what confuses me is that we start with$\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$. Jun9 comment Question about direct sum of function space I think what confuses me is that we start with$\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\$. Jun9 comment Question about direct sum of function space @Dactyl: Could you please elaborate? So I don't get it... Jun9 asked Question about direct sum of function space Jun9 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? Jun9 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?!? Jun9 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. Jun9 comment Function for concatenated semicircles @jspecter: No, please no piecewise def. @Theo: Infinite sums are ok, I think even necessary for the nearly perpendicular inflection points (=infinite slope). Jun9 asked Function for concatenated semicircles