cameltoes en sexy atletas olympiads 2008

Number-theory contest-math up vote 6 down vote, the righthand side suggests naming the differences.
Post as a guest, name, email discard, by clicking "Post Your Answer you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to free cams for sex these policies.Perhaps we could make this CW and have separate answers, each on applications of a specific area of mathematics?Takeaway idea : the dot product of the characteristic vectors (over Bbb Z, of course) is equal to david camp pornography the size of the intersection.Using basic linear algebra over finite fields.Can you think of an alternate solution?This may be something as simple as basic group theory or linear algebra, for instance.Please don't post joke-ish things like the "Fermat's Last Theorem is too weak to prove that sqrt 2 is irrational" thing, please.I shall post an example of what I'm looking for as an answer.We might as well assume that xle yle z and set ay-x and bz-y.Concisely, he considers the characteristic vectors of these subsets and shows that they must be linearly independent over Bbb F_2 for the condition to hold, so the maximum number of such subsets is just.Is there a particular reason why solutions in arithmetic progression were sought for?The equation then becomes 3y2a2b22(b-a)yab(ab and at that point it's easy to see that setting ab would simplify matters greatly.I am interested in applications of somewhat "advanced machinery" (with respect to the usual machinery involved in these cases, which is usually elementary) to olympiad or (high school-level) contest problems in mathematics which yield simple, insight-provoking solutions.Post as a guest, name, email discard, by clicking "Post Your Answer you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to these policies).At this point it could still turn out, of course, that the simplification is useless, because the additional requirement kills off too many solutions, but it's so much easier to work with that it should definitely be investigated, and it turns out to be fruitful.Your Answer draft saved draft discarded, sign up or log in, sign up using Google.Note : This is a problem from the Indian National Mathematical Olympiad 2001.Sign up using Facebook, sign up using Email and Password.Soft-question contest-math big-list up vote 5 down vote, an example would be Tim Gowers' beautiful proof of the following problem: Let n be an even integer.How many subsets of the set 1,2,dots, n can you pick if they all have to have odd size but the intersection of any two of them has to have even size?
Find this Pin and more on FĂ©minas atletas.


[L_RANDNUM-10-999]