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Re: Chess thread? http://lichess.org/jhj3qkks

Re: Chess thread? As am I.

Re: Chess thread? Probably midnight or 1 tonight.

Re: Chess thread? http://lichess.org/37qfju6y

Re: Chess thread? am I playing with you right now menomaths?

Re: Chess thread? http://lichess.org/iee8mkym

Re: Chess thread? ah okay, cool. for some reason I thought you said 10-11 before.

Re: Chess thread? Will post a link here in 5 mins.

Re: Chess thread? Hopefully I am not too rusty and can give you a good game.

Re: Chess thread? Yeah, I'm v. keen.

Re: HSC 2013 2U Marathon Yep, well done :).

Re: Chess thread? I'm up for more games later this week :).

Re: HSC 2013 2U Marathon $A man runs n laps of a circular racetrack. He runs the first lap at $v_1\, ms^{-1}$, the second at $v_2\, ms^{-1}$, and so on. What is his average speed over his entire run? $

Re: HSC 2013 4U Marathon Yep this. We don't care what this is equal to.

Re: HSC 2013 4U Marathon I think I just proved something pretty cool (yet elementary). Let f be a function defined on the positive reals such that: i) f is positive ii) f is decreasing iii) f is twice differentiable and f'' is always nonzero. iv) any tangent to the graph of f...

Re: HSC 2013 4U Marathon Here is one to flex algebra muscles. Consider the monic cubic equation z^3 + az^2 + bz + c = 0. (*) Make a linear substitution of the form y = z + const. to obtain a cubic in y which has no quadratic term. Eg: y^3 = Ay + B. Show that if 3st = A and s^3 + t^3 = B...

I concede that the FSM might exist. In the same way that a god might exist, in the same way that an exceptional zero of the Riemann zeta function might exist. The word "might" does not say anything about the perceived likelihood of an event, and I am loathe to say words like: "always"...

He never claimed it wasn't their responsibility, he just said that this particular incident (and similar ones) would not have happened if the event was less policed. When you can't necessarily prevent things from happening, it is worth thinking about risk minimisation, no matter whose...

Re: HSC 2013 4U Marathon 100 HSC students are held captive in a room by an evil mathematician. He writes down their names on 100 pieces of paper, and randomly puts them in 100 lined up boxes, one per box. The prisoners get led to the box room one by one, and get a chance to check 50 boxes for...

Re: MX2 Integration Marathon Upon actually doing the IBP working, the cancellation I expected did not occur... sorry about that. It may still be possible to evaluate this integral, but it is not obvious to me whether or not this can be done. As the integral to pi certainly can be done, I think...