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Ill be like hanging around the place probably if you guys wanna meet... going to specific stuff 11-1 and 3-4 though

oh okay. I didnt know there were two of them / my memory of this stuff isnt that great

science med at sydney uni or bsc (adv math)

usyd/unsw info day?

oh okay yeah thats pretty hard. I think you could do it with simultaneous equations though (youd only need 3 given the circle is (x-a)^2 + (y-b)^2 = r^2); you could immediately remove 1 as well by translating all three points so one is (0,0).

Oh yeah I remember seeing that, 2003 or 2004 sydney boys test I think. I remember 2003/4 had ridiculous tests in general, the HSC was really hard in 03, and high, grammar, catholic trials were all pretty hard.

where's the enthusiasm?

random thing, you know muirhead has a geometric interpretation?

You totally don't need to use a 4x4 determinant; can't you just take the intersection of perpendicular bisectors - thats pretty HSC isnt it?

Yeah technically so but pshhhtttt nobody really cared about it when I did that. technically it should actually be a factor of 4, coz you can permute the c^0 and d^0 as well. Like with muirhead notation, all symsums in 4 variables have 24 terms and yeah I was basing it on symmetric polynomial...

reading maths articles on wikipedia is never a bad thing! I heard the guy who wrote the q8 this year based it on a theorem he found on wikipedia :P and I doubt theres an elementary proof of that theorem, Ive heard its really hard, and only works for cubics (has no quadratic/quartic analogue)...

oooh thats legit... Id imagine you could cut it up and integrate it? alsoooooo this reminds me, you know theres an awesome theorem about the intersection of two cubics? http://en.wikipedia.org/wiki/Cayley%E2%80%93Bacharach_theorem lots of random geometric results are made almost trivial by...

I think "find the intersection of a curve and its inverse" and "find the intersection of a function and its inverse function" are two pretty different questions... in particular the former is much nastier. try find the intersection of y = 10x^3 - 10x for instance and its inverse x = 10y^3 - y...

yeah except a line can be thought of as a special case of a circle

I've come across "Sym" and "Cyc" a lot. They work like this; with a, b, c, d (cbf to type alpha beta gamma delta into latex) you can go: \sum_{sym} ab = ab + ac + ad + bc + bd + cd \sum_{cyc} ab = ab + bc + cd + da i.e. the first one you take symmetric sums (i.e. 4 choose 2, etc) whereas in...

I reckon this shouldn't have been moved, the point of this question was take HSC maths and use it to do something random (in the way you use random complex numbers stuff to do cool stuff in this years q8)

Im yeah Id really prefer if the syllabus had more random stuff. like more geometry, more perms and combs, more inequalities, etc. although its not so much a syllabus thing, its more like, you can do cooler stuff with the syllabus. liek if the 8 question structure was changed so that each...

You occcccaaaasssiooonnnaaalllyyyy do questions that are sorta like stirling's approximation (usually about harmonic series approximation) but I think theyre deemed too hard / too lateral

nah its freeware, http://www.latex-project.org/ftp.html has links to downloads. its pretty easy to learn too (most things are pretty intuitive) but for a lot of maths things you need to specific add-on packages at the beginning (but you dont need to download those, they're just extra packages of...

whaaa how does [k,l) change anything? its not interval notation, its just ordered pair notation Im pretty sure... you can do that notation for summation too (it's shorthand for writing 1 <= k < l <= n), e.g. \Sigma_{i<j<k} a_i a_j a_k = a_1a_2_a3 + a_1a_2a_4 + ... + a_1a_2a_n + a_1a_3a_4 +...