10,166 reputation
829
bio website danshved.wordpress.com
location Moscow, Russia
age 28
visits member for 1 year, 10 months
seen Sep 16 at 13:04

I'm a graduate student at MIPT, Russia. My thesis is in the theory of groups, but I like lots of other things too )


Sep
4
comment Proof of Fermat's Little Theorem
Sorry for the downvote, but your answer doesn't really address the OP's question.
Sep
4
comment Proof of Fermat's Little Theorem
Long story short: you are right, primitive roots are powerful.
Sep
4
comment Proof of Fermat's Little Theorem
This is correct, but not surprising. The existence of a primitive root modulo $p$ is stronger than Fermat's Little Theorem. In other words: yes, you can derive FLT from the existence primitive roots like this, but it is an overkill.
Aug
11
revised Does a positive definite matrix have positive determinant
added 615 characters in body
Aug
11
answered Does a positive definite matrix have positive determinant
Aug
10
comment Does a positive definite matrix have positive determinant
Of course it follows. Because the assumption can never hold. You probably want to say $x^T A x \geq 0$, or you want to have $x^T A x > 0$ for every nonzero real vector $x$.
Jul
27
comment Is the minimum of the product of two functions equal to the product of their minima?
Your set-theoretic reformulation is very different from the original question. For the set-theoretic version, the equality holds (at leasts when sets are finite and nonempty). For the original question -- no, it isn't true.
Jul
27
revised Find the Value of Trigonometric Expression
Use proper LaTeX commands for sin and cos
Jul
26
revised Why is a raised to the power of Zero is 1?
added 3 characters in body
Jul
26
comment Why is a raised to the power of Zero is 1?
OK everyone, especially the logicians present, maybe it would have been better to replace all occurrences of logical in my answer by humanly and nice-looking. I would have said natural, but I'm afraid that would unleash a bunch of angry category theorists on me :)
Jul
26
comment Why is a raised to the power of Zero is 1?
@Asaf I used to hate this sort of puzzles too. I don't anymore. Pullzles are not really math problems, but they have some good to them. They have a human (as opposed to technical) feel to them, and they are good for explaining things on the intuitive level.
Jul
26
answered Why is a raised to the power of Zero is 1?
Jul
26
comment Straight lines and lattice points
@8pir I don't see how this is related to Kvant, but to answer your question, Kvant seems to be alive and well. This page says that there have been 2 issues in 2014 so far.
Jul
26
comment Prove that $\sin(12^\circ)\sin(48^\circ)\sin(54^\circ)=\frac18$
This is false as stated. Please, do mention that you measure angles in degrees, not in radians. The overwhelming majority of mathematicians will by default treat the argument of $\sin$ as being in radians.
Jun
17
comment Proving that the $[g,x]^n=e$ if $G$ is nilpotent of degree $n$
@DonAntonio Ah, so it probably lacks the "for some integer $c$" addendum. Looks plausible. Thanks, I didn't see it.
Jun
17
comment Proving that the $[g,x]^n=e$ if $G$ is nilpotent of degree $n$
Also, your definition of a nilpotent group looks suspicious. What is $Z_C(G)$?
Jun
17
comment Proving that the $[g,x]^n=e$ if $G$ is nilpotent of degree $n$
See here for the meaning of "nth iteration".
Jun
17
comment Proving that the $[g,x]^n=e$ if $G$ is nilpotent of degree $n$
This is not what is said on that page. What is said is that $\underbrace{[g, [g, [\ldots}_{n\ \text{times}}, x ]\ldots]] = e$.
Jun
11
comment minimum sum of distances from vertices
Look here: Fermat point.
Jun
10
answered Show finite group is $p$-group given some structure of group