# Jaakko Seppälä

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bio website reilurekrytointi.fi/video/… location Kuopio, Finland age 31 member for 2 years, 5 months seen Jan 24 at 9:14 profile views 110

I am a mathematician from Finland. In maths, my main interest are in algebra and number theory. Nowadays I mostly read mathematics on my own and look for an interesting math projects.

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 Jan8 comment Prove that $\displaystyle \lim\limits_{n \rightarrow \infty} \left(\frac{23n+2}{4n+1}\right) = \frac{23}{4}$. It is not correct. You have to define symbols before you use them. Therefore, there is a mistake on the line $$\displaystyle \vert \frac{23n+2}{4n+1} - \frac{23}{4} \vert < \epsilon.$$ Before that you have to write for example "Choose an arbitrary positive real number $\epsilon$". Oct27 comment Question about Right Angles I think you have to define the right angle without degrees and you have to define how to measure angles. Otherwise I can say your current definition is wrong as the measure of right angle is $\pi/2.$ Oct8 comment Combinatorial proof of $\sum\limits_{k=0}^n \binom{2k}{k} \binom{2n-2k}{n-k} =4^n$ math.stackexchange.com/questions/72367/… Oct2 awarded Nice Answer Oct2 awarded Yearling Oct2 revised Inequality…(RMO $1994$…question $8$) added 101 characters in body Oct2 revised Inequality…(RMO $1994$…question $8$) added 2 characters in body Oct2 answered Inequality…(RMO $1994$…question $8$) Sep13 awarded Critic Aug17 revised Proof on an equilateral triangle with a cevian extended to its circumcircle added 1 characters in body Aug17 answered Proof on an equilateral triangle with a cevian extended to its circumcircle Aug14 comment Is there an algorithm to determine if a closed form solution exists? Well, I was looking something bigger theorem which gives Galois theory and Risch's algorithm as a special case. Aug14 asked Is there an algorithm to determine if a closed form solution exists? Aug12 awarded Nice Question Aug5 comment Learning proofs for exams As I was studying, I learned the ideas of proofs. It wasn't important to remember every details of the proof but if I remembered for example that this theorem follows from Zorn's lemma or by transfinite induction, I was often able to fill the details in the exams. Aug5 revised Find $n^{th}$ term of $\frac23,\frac35,\frac58,\frac8{13}\dots$ added 44 characters in body Aug5 answered Find $n^{th}$ term of $\frac23,\frac35,\frac58,\frac8{13}\dots$ Jul12 awarded Yearling May22 comment Prove that $\sqrt{1+\pi^2}, \hspace{2pt}\pi-\sqrt\pi,\hspace{2pt} \pi^2+\pi+\sqrt{1+2\pi}$ are not algebraic If $\pi$ is not algebraic then $\pi^2$ is not algebraic. May22 comment Prove that $\sqrt{1+\pi^2}, \hspace{2pt}\pi-\sqrt\pi,\hspace{2pt} \pi^2+\pi+\sqrt{1+2\pi}$ are not algebraic If $\alpha_1=\sqrt{1+\pi^2}$, what is $\alpha_1^2-1$? Is that algebraic or transcendental?