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[2014-10-16. : 12:02 am] Roy -- Vrael Old tech vs new tech: Sandy Bridge chips are really expensive. The 4790K is a Haswell Refresh chip, and is cheaper than the 5820K, as it should be.[2014-10-15. : 11:42 pm] Moose -- Oh, I think I see it. The absolute value bounds the equation from below by 0, that's where x^2 - 4 >= 0 comes from.[2014-10-15. : 11:39 pm] Moose -- Because it changes signs from left to right, from + to - (reversed by the absolute value) to + again[2014-10-15. : 11:39 pm] trgk -- else, |a| computes to -a, so |a| < b means -a < b, which is equivilant to -b < a[2014-10-15. : 11:38 pm] Moose -- Uh, you would have to know how the parabola works, that x^2 - 4 is a parabola with zeroes at -2 and 2[2014-10-15. : 11:38 pm] trgk -- http://upload.wikimedia.org/math/8/c/b/8cb53c58631c94cc12e446129810669d.png[2014-10-15. : 11:37 pm] trgk -- If b>0, then (a >= 0 and a < b) or (a < 0 and a > -b) can be simplified to (-b < a < b)[2014-10-15. : 11:36 pm] Moose -- x^2 - 4 < 5 is describing the parts from -3 to -2 and 2 to 3, where the parabola isn't reversed and opens upwards[2014-10-15. : 11:35 pm] Moose -- x^2 - 4 >= 0 is describing that upwards parabolic curve from -2 to 2[2014-10-15. : 11:32 pm] Moose -- Since you only have x^2 in the function, any solution x > 0 has a mirror solution -x[2014-10-15. : 11:32 pm] Moose -- Oh, that's using symmetry of the graph to make life easier. Did you graph the inequality?[2014-10-15. : 11:31 pm] Dem0n -- And then we solve those four inequalities and find their intersection[2014-10-15. : 11:31 pm] Dem0n -- But the way we did it in class is we had two cases: one was where x^2 - 4 >= 0 and x^2 - 4 < 5, and the other was the opposite of that[2014-10-15. : 11:27 pm] Dem0n -- Yeah I know how to do it that way, but I have to use stupid cases to solve them, and I don't get that[2014-10-15. : 11:26 pm] Moose -- You would just need to solve (x+2)(x-2) < 5 and -5 < (x+2)(x-2) and intersect the solutions of those.[2014-10-15. : 11:24 pm] Dem0n -- Like |x2-4| < 5 has two cases, one being x2-4 >= 0 and x[sup]2-4 < 5, and the other being the opposite of the first one[2014-10-15. : 11:23 pm] Moose -- Tell your TA that he is a scrub and some moose on the internet rekt him.[2014-10-15. : 11:21 pm] Dem0n -- My TA was showing us how to solve them with cases and I had no clue what he was doing[2014-10-15. : 11:21 pm] Moose -- ex |x-3| < 5 becomes -5 < x-3 and x-3 < 5 and combine the results: intersect if the original equality was < or <=, union if the original inequality was > or >=[2014-10-15. : 11:17 pm] Moose -- Dem0nDem0n shouted: moose how do i solve inequalities Dem0nDem0n shouted: like ones with absolute values and shit You split them into two inequalities[2014-10-15. : 11:15 pm] Jack -- if I have time later today I'll have a stab at implementing one of them[2014-10-15. : 10:48 pm] Moose -- 5820K doesn't even come up in the list when I do a comparison on cpuboss. Is it new?[2014-10-15. : 9:43 pm] Jack -- now I've got zbuffering and backface culling working, I should implement model editing[2014-10-15. : 7:53 pm] Roy -- I saw Gigins made a new post, so I had to check the Shoutbox to make sure he shouted it, too. |
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