Orest Xherija
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 Oct6 comment Is this $\beta$-reduction well defined? The question is whether it is possible to operate as it is. Jul4 comment A step in the proof of the Riemann Mapping Theorem Are we considering the graph of $sin(1/x)$ as a subset of $\overline{\Bbb C}$? Apr19 comment Abelian group admitting a surjective homomorphism onto an infinite cyclic group I just realised my stupid mistake! Just one more thing. How can I show that any element of $G$ is expressible as a product of two elements, the first of which is from $\ker(f)$ and the second from $im(g)$? Apr19 comment Studying the action of $GL(V)$ on the vector space $V$ Thank you very much! It is all clear now! Apr19 comment Abelian group admitting a surjective homomorphism onto an infinite cyclic group I have tried to show that $\ker(g)$ is trivial, but I am failing to do so. My problem is that the $x$ you chose above might have finite order so you would have $nx=0$ with $n \neq 0$ thus the kernel will not be trivial. I cannot find a method to by-pass this problem. Apr16 comment Abelian group admitting a surjective homomorphism onto an infinite cyclic group I am so very sorry for not understanding this immediately. Here is my point of confusion. I cannot see how $G = \ker(f) \times im(g) \implies G \cong \ker(f) \times \Bbb Z$, since $im(g) \subset G$ so you would get $G \cong \ker(f) \times im(g) \subset \ker(f) \times G$ Apr12 comment Generalised eigenvalue is eigenvalue if it is in the field Thank you very much for your help, Branimir! Apr12 comment Generalised eigenvalue is eigenvalue if it is in the field I see my mistake! Thank you very much for pointing this out! Mar24 comment Imposing the topology of open rays in $\Bbb R$ Dear Brian, I would like to ask your permission to integrate your suggestions and hints into a complete answer in my original post. May I do so? Mar15 comment Imposing the topology of open rays in $\Bbb R$ Thank you very much for your most helpful comments! Mar3 comment Any open subset of $\Bbb R$ is a at most countable union of disjoint open intervals. [Collecting Proofs] Oh, OK! Thanks! Feb27 comment Mathematical preparation for postgraduate studies in Linguistics @AveMaleficum I have further updated the post. Some useful links have been added, should you wish to consult them. Feb26 comment Mathematical preparation for postgraduate studies in Linguistics Thank you! I will try to extend this as much as possible and provide links to other resources too. Did you check the one suggested in the update I made? Feb24 comment Definite Integral with a discontinuty I don't think the problem is the discontinuity itself, but rather the fact that the integrand seems to blow up at $x = 0$. Feb22 comment Differential Equation : $f '' = f '$ You are indeed correct to point out that flaw. But that does not mean the proof is not rigorous. It only means that there is one more case to be checked. I will add it. Feb21 comment Differential Equation : $f '' = f '$ No harm done! (: Feb21 comment Differential Equation : $f '' = f '$ That's impossible! The first derivative will be some number but the second will be 0. How are they working? Feb21 comment Differential Equation : $f '' = f '$ Thank you for pointing that out! Thanks @Chris Taylor for editing the solution. Feb20 comment Mathematical preparation for postgraduate studies in Linguistics Thank you very much, Brian! Please be sure to send my thanks and regards to the linguist that provided this information! I thank you both wholeheartedly! Feb18 comment Mathematical preparation for postgraduate studies in Linguistics Would that refer to thesis advisors for mathematics or for linguistics? And you refer to the Ph.D. dissertation or an undergraduate B.A. thesis? If you are referring to the latter, we do not need to complete one, it is not a requirement for graduation.