clever "It is of interest to note that while some dolphins are reported to have learned English -- up to fifty words used in correct context -- no human being has been reported to have learned dolphinese."- Carl Sagan

Recalled from a while ago:In a triangle ABC, median,BM, bisector, BE, and height BH split the angle ABC into 4 equal angles. Prove that the triangle ABC is a right triangle.

<t>QuoteOriginally posted by: jimjohndoes anyone know any good links where i can understand this process, wahtever ive found so far is too complicated, i want a gentle introduction. also, can someone plz explain what the drift rate means. is this the same concept as mean reversion? thx so much.I wou...

<t>Using the formula a^2-b^2 = (a-b)(a+b) one derives2^(2^n) - 1 = ( 2+1 )(2^2 + 1) (2^(2^2) +1) ...(2^(2^(n-1)) +1) on one hand, on the other we are given that 2^(2^n) - 1 = m(2^n +1), for some m\in ZBy Fermat's statement, all of the terms 2^(2^k) +1 are prime numbers, therefore, 2^n +1 is at most ...

<t>QuoteOriginally posted by: gardener3QuoteOriginally posted by: BarvinokQuoteThis must be "Edinstvennoe Sredstvo" , not sure about the proper English translation, something like "The Only (Means)Remedy/Solution", failed to find in the Internet in English.That's it! Thanks, I should buy a beer next...

<r>QuoteOriginally posted by: gardener3QuoteOriginally posted by: MartinghoulRM, while I agree with you on 'Master and Margarita', you have clearly been reading the wrong Chekhov. Some of his short stories are so funny, it hurts.I've been trying to figure out the title of a Chekhov short story I rea...

hi, you forgot to mention Tolstoy, to make the list more complete..-----------

Thank you anyway.. and sorry, I did not mean the novel.. QuoteOriginally posted by: afoster I found this particularly quite a useful source of information Goldfinger

Hello, Could someone give me an advice on what to read/where to look to catch up with a Goldfinger? Thanks.

<t>QuoteOriginally posted by: ronwiseIn USSR in 90% the only way to get in a good school was to have parents with high scoial status (or working in prestige places). Do you remember such russian word as "svjazi" ? Even if you was a clever guy you would not be able to get in a good phys-math school b...

<t>QuoteOriginally posted by: Tapacbif n is even n/2 eigenvalues are 0 and eigenvectors are [1, 0 , 0,..,0, 0, -1], [0, 1, 0,.., 0, -1, 0], [0, 0, 1,.., -1, 0, 0], ...n/2 eigenvalues are 2 and eigenvectors are [1, 0 , 0,..,0, 0, 1], [0, 1, 0,.., 0, 1, 0], [0, 0, 1,.., 1, 0, 0], ... if n is odd then ...

..minimal polynomial of the matrix..and something about its roots..?

<t>QuoteOriginally posted by: untwiggedQuoteOriginally posted by: PlasticSaber 'oh you really need to have a PhD to understand what I did there, I couldn't possibly explain it to you.' That was a short interview...this is absolutely impossible if the person indeed wrote his thesis himself. To my opi...

<t>QuoteOriginally posted by: amit7ulif n is evenall eigenvalues are 0 and eigenvectors are [0, 0 ,..0]if n is oddn eigenvalues are 1-(nth root of unity) 'sI guess it would be fair to give a hint I had been given too:Split the initial matrix to the sum of two, and calculate the powers of the non-ide...

<t>Hello!Recently I have been asked the following problem at the interview for the internship position of quant analyst With a hint I solved it, but.. Find the eigenvalues and eigenvectors of the following n x n matrix:all entries on both of the diagonals are equal to 1;all the other entries of the ...