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Well, some of the best stuff done on the Riemann Hypothesis was done by Odlyzko. Whilst I accept that it might be possible to come up with a non-constructive disproof of the Riemann Hypothesis, Odlyzko's research may however one day come up with a counterexample - all done by computer. And I'd...

And how's the status of the ... well, um, ... let's just call it the no_arg conjecture, π⁴+π⁵=e⁶? Have you proved it yet? I've disproved it, as have most other people on this thread!

Well well. Now look whose dated!: http://mathworld.wolfram.com/Four-ColorTheorem.html And the proof is here: Appel, K. and Haken, W. "Every Planar Map is Four-Colorable, II: Reducibility." Illinois J. Math. 21, 491-567, 1977. And I'm not tywebb! And you owe me $50! Ha! Ha!

There is nothing wrong with my proof and there is nothing wrong with my references. "References a little dated"? Well in maths that's a bit like saying: "Euclid's proof that there are infinitely many primes is wrong because we've all moved on from there. We now know better. Especially...

It seems you haven't seen the 1989 Four unit HSC Question 8b. Such things seem OK to the HSC exam committee. So they should seem OK to HSC students. And I bet you don't think the 4-colour problem has been solved yet either, hey? (It was done by computer!) Well...

Evidently, wanton-wonton cares or else he wouldn't have started this thread. I think I've settled the matter. no_arg may not agree. But I don't need him to. Anyway, here are some more approximations for e: http://mathworld.wolfram.com/eApproximations.html

no_arg and I have tried for a long time to shut each other up, and we have both failed. Anyway, I have both proved π⁴+π⁵≠e⁶ and provided a reference to support my claim. no_arg is claiming that π⁴+π⁵=e⁶...

No it isn't. π⁴+π⁵≠e⁶ π⁴+π⁵=403.42877... and e⁶=403.42879... Hence π⁴+π⁵≠e⁶ It's only an approximation. Sometimes roundoff errors do occur however, like...

See! I told you they take notice of me! But I don't know when they'll update their website.

I just got an email from MANSW saying that they will fix their website and put turtle back on the list: From: mansw@math.nsw.edu.au Sent: Monday, 25 July 2005 11:53 AM To: d.buchanan@sga.edu.au Subject: Re: Error on your website Dear Derek Thank you!!!!! I don't know how that...

It'd be good if the trials from this year went up. I might put some up later, but you can put some up too. boredofstudies.org have an upload page at http://www.boredofstudies.org/upload

Nope. 175. Anyway, the point is that no matter how many are up, you'll never cover everything because the exam committee will put in questions which have not been asked before. So let's just keep on putting more up. Anyway for the 175, I made a website www.fourunitmaths.cjb.net with links...

That's right. You shouldn't rule anybody in or out. It's not about who is better than everybody else. It's about hard work, perseverance and not making silly mistakes. So it's impossible to predict. You can forget the idea, if you ever had it, that all you require is a bit of natural...

Well turtle, their website is still wrong. You're not on it anymore! I've emailed them before (on a different issue) and I can say that they do take notice of my emails. So I'll email them to fix it. Their current website at http://www.mansw.nsw.edu.au/studentservices/tgroom-award.htm...

http://www.mansw.nsw.edu.au/members/reflections/vol24no3_99pender.htm

This is why universities want to get 100% of their students from overseas, or from the IB, not the HSC. They are only stopped by stupid politicians. These stupid rules mean that by international standards, the HSC is crap! No wonder some private schools are threatening to go 100% IB!

Here's the paper from BoS: http://www.boardofstudies.nsw.edu.au/hsc_exams/hsc2004exams/pdf_doc/maths_04.pdf Also, I think you will be able to buy the MANSW solutions soon from their website www.mansw.nsw.edu.au

It should be (2,6). I've got the MANSW solutions. They gave them to me when I went to their HSC markers feedback day.

Yeah. But I still like the l'Hospital's Rule method better. Anyway, so long as everybody fully covers the syllabus, I think it's OK for people to learn different things on top of that. Of some concern is that in some schools, they aren't even covering the syllabus properly due to a lack of...

I think we need to get teachers and academics to seriously question the purpose of the syllabus and the exams. My view is that it's OK to have a syllabus which should be the bare minimum that needs to be covered. And it's OK to have a common external exam at the end so that students can be...