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I have a B.Sc in computer science and a B.Sc in mathematics from the Technion.

I am interested mainly in abstract algebra and I hope to start graduate school soon to continue study some advanced topics in this area.

Currently I am going over Abstract Algebra by Dummit and Foote to recall old topics and fill some gaps I have, while working full time as a programmer.


Oct
18
revised Number of distinct real roots of $x^9 + x^7 + x^5 + x^3 + x + 1$
added 4 characters in body; edited title
Oct
17
asked An algorithm to find if two sentences are at edit distance $1$
Oct
17
answered How to find the 4th degree polynomial with given values at $0,1,2,3,4$?
Oct
17
comment If $A,B$ are subgroups of the group $G$, then $A\cup B\leq G\Leftrightarrow (A\subseteq B \vee B\subseteq A)$.
I don't get your last point "but that also comes to a contradiction" - Why ? Both $A$ and $B$ have the same identity element and that's fine
Oct
17
revised Counting similar pairs
added 2 characters in body
Oct
17
revised Counting similar pairs
added 245 characters in body
Oct
17
asked Counting similar pairs
Oct
16
comment Does every vector space have an inner product?
I edited the first inline, please see that this is what you meant
Oct
16
revised Does every vector space have an inner product?
edited body
Oct
16
answered Does every vector space have an inner product?
Oct
16
comment Showing $\operatorname{Aut}(\mathbb{R})$ is abelian
You mean Aut(R) is trivial ? in the second line you wrote R is the trivial group..
Oct
16
reviewed Edit suggested edit on Give a matrix $A$ find a symmetry matrix $X$,such $A=X^3-10X^7$
Oct
16
revised Give a matrix $A$ find a symmetry matrix $X$,such $A=X^3-10X^7$
improved formatting
Oct
16
comment If $m^n = n^m$, why does $m$ to be a factor of $n$?
Maybe someone can correct me, but the only option for this to happen is $n=4,m=2$
Oct
16
comment What can we say? Variance = Mean
Note that if $X$ is discrete RV you can have problems moving from the first to the second line - this is since there is a positive probability that $X-\mu=\pm \epsilon$
Oct
16
revised How to solve a limit $\lim_{n\to\infty}\frac{\sum_{r=1}^{n^4}\frac1r}{\ln n}$
edited title
Oct
15
revised Prove that a function is continuous in R^2
edited body
Oct
15
comment Prove that a function is continuous in R^2
Can you deal with some of the $y_0$ ?
Oct
14
comment Eigenvectors of $\left( \begin{array}{ccc} a & 0 \\ 0 & -b \end{array} \right)$
Yes. that is $v=(1,0)^T$ imply $0v=0$ - not the other way around as you wrote it
Oct
14
comment Eigenvectors of $\left( \begin{array}{ccc} a & 0 \\ 0 & -b \end{array} \right)$
No - it is indeed a solution, but $0v=0$ does not imply $v=(1,0)^T$ , it doesn't say anything about $v$