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  1. turtle_2468

    21 grams

    umm... dunno, it was advance screenings yesterday... (or rather last saturday) I know it's in circular quay dendy (halfway between opera house and station), because that's where we saw it... not sure about big cinemas, check hoyts..
  2. turtle_2468

    Solving a non-linear system of equations.

    think I understood the pdf file, but packing to go to blue mountains tomorrow for a week, will relook up jacobians when I get back... (26th) give me a virtual kick if I haven't replied by say 28th or so. :-)
  3. turtle_2468

    21 grams

    She gives a really powerful performance, and I think she'd be in the running for one. But there are quite a few contenders which have good chances too... (think kidman in cold mountain etc) For a short synopsis of the start, read the SMH review...
  4. turtle_2468

    Inequalities

    The proof for 4 is relatively simple. In general, you know that (a+b)/2>=root(ab) and (c+d)/2>=root(cd). So (a+b+c+d)/2>=root(ab)+root(cd) and so (a+b+c+d)/4>=(root(ab)+root(cd))/2 and apply the 2-variant AM-GM to the RHS again for the result. What I mean is, you do use the AM-GM, but if...
  5. turtle_2468

    21 grams

    Go watch it. We watched the preview yesterday, it's quite twisted, but satisfying in the end. Hmm... horrible in a way, heart-wrenching, violent, a bit too much sex (although some might find that a plus)... yes. Go watch it.
  6. turtle_2468

    Inequalities

    Hmm. Usually the answer is no. Especially in questions of the type prove that (a+b+c)/3>=cube root(abc), which are just proving a specific case of the AM-GM. However, the usualy method of proving it isn't too hard, and only takes marginally longer. (you prove it for 2, 4, 8, .. for all...
  7. turtle_2468

    Maths books.

    Hmm, yes. I can't get away from Cleo Cresswell... her image haunts me (yes, she works at UNSW)... argh!
  8. turtle_2468

    university maths difficulty

    Hmm. Lots of statements! 1) I still don't like terry gagen. 2) Hooray for TSP (unofficially) at UNSW - 3rd year courses for 1st year students :-) (I'm just making the point that you can do the same at UNSW... admittedly only a few ppl do it though) 3) underthesun: learning discrete maths by...
  9. turtle_2468

    Complex Long Division Please Help

    you mean, I have to do it :-P a) you can do this part by the remainder theorem (see 3 unit). So the remainder is equal to P(-i) (as the factor divided by is (x-(-i)) ) which is (-i)^3+2(-i)^2+1=i-2+1 which is i-1. b) This is harder. Treat it as normal division by polynomial... Hence the...
  10. turtle_2468

    Solving a non-linear system of equations.

    Eww. Jacobian matrices are not nice, you encounter them in several variable. I've done most of that course (and I definitely remember doing the bit about jacobians), can you send me the link with newton & relation to jacobian? Then I can dust off my books and get back to work :-) well, not that...
  11. turtle_2468

    university maths difficulty

    Hey underthesun, I was planning to answer this and had an answer all written down just before my house had a power failure, so here goes again :-) (that was before you sent me a pm, mind you :-) ) As laz said, Maths 1A and 1B are compulsory for UNSW science/eng ppl. It's not too hard, just...
  12. turtle_2468

    Solving a non-linear system of equations.

    I meant ln[(w+0.0001)/(1-w-0.0001)]. edit: I guess it doesn't make the thing any nicer after all... although you don't get stuck with an unnice 1.0002 in the numerator at the end eg (w+0.0001)/(1-w-0.0001)=(1/(0.999-w))-1 But then that can just be factored out in the final thing in the other...
  13. turtle_2468

    Solving a non-linear system of equations.

    Okay. It is solvable using iterative methods for 1 variable... (when I say lots of rearranging, it works. If you want the proof, say if this result is useful, ask me and I will put it up. Just lots of algebra..) after lots of rearranging, letting m_i denote 1/(1+e^(ax_i+b)) for convenience...
  14. turtle_2468

    Solving a non-linear system of equations.

    I'll try :-) But first a question: by the transform: X = ln[(w + 0.0001)/(1 - w + 0.0001)] do you mean X=ln[(w+0.0001)/(1-(w+0.0001)]?
  15. turtle_2468

    Can someone prove this for me (reward)

    It was US though... which was a lot better a year ago than now, but still. And btw I think Goldbach is now worth nothing, faber & faber offered 2 million on it for a while but then that expired last year... also note that the poincare conjecture (one of the 7 problems) has a proof which...
  16. turtle_2468

    When to use "by inspection" as a reason?

    Factorising you normally can state without actually writing anything down unless it's non-obvious (ie you can't expand it out without say at least 10 terms), in which case you should probably put a line in the middle. Graphs: Yes. for example, "from the graph, as there is a part above the...
  17. turtle_2468

    Induction question

    yes you do get a recursive relation in order to prove step 3. It'd go something like this: (this is the long, ultra-rigorous version, shorten as desired) Observe that one line with no intersection creates 1 new region. (dividing the plane into 2) Furthermore note that for each intersection the...
  18. turtle_2468

    When to use "by inspection" as a reason?

    to add to spice girl's post, the only situation I can think of where it is non-dodgy is when you correlate real and imagniary coeff... eg x=4+3i = (a+2b)+bi so by inspection a+2b=4 and b=3. you could just write correlating.. :-)
  19. turtle_2468

    Anyone been to/off to NMSS this year?

    hey, just because I got it for free it doesn't mean that I don't use it :-)
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