What's so great about Fermat?
1. Euler
2. Sophie Germain
3. Nash
4. Wiles
5. Taniyama-Shimura (for coming up with the conjecture proved by Wiles)
6. Frey (transforming the Fermat equation into an elliptic curve)
7. Gauss
8. Perelman
9. Ramanujan
10. Galois
Re: Olympiad letter
Do you guys get training materials? When I was in NZ, after I got invited to the NZIMO Camp we got sent training materials. Just wondering.
Re: Olympiad letter
Man, if they didn't restrict the people that can get into the camp to people with Australian passports then I would have gladly sat it. I didn't sit it because I don't have a chance and since I don't have an Australian passport I am even less bothered with it.
Today, the Head of Science was asking me if I want to do the test because someone decided not to on the last minute but I said no. Doesn't sound very easy.
I am not sure what you mean but all I did was assume that all the water has condensed back into a liquid at 298K and that 0.8 atm is from the carbon dioxide so you can calculate the moles of carbon dioxide and hence the moles of water.
Go through a 4 unit text book and you can find heaps of inequalities where you can elegantly solve (AM-GM, Cauchy, Rearrangement) or else bash (Expand everything out, Majorisation).
When actually making up a buffer solution however, we add the acid and the acid's salt (which generates the desired conjugate base) or the base with its conjugate.
Equivalance point in when all the acids and bases have reacted (on other words, equivalent).
The other important thing is the End Point and this is when the indicator changes colour.
I don't think so, proving Cauchy-Schwarz's Inequality is quite simple actually. You can either prove it using vectors or simple quadratics.
Proving AM-GM is also quite easy .