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That’s why you move to America.

The Putnam would like to know your location

There’s a LOT more competition over here in NSW. We’re the most academically inclined state as seen by the fact that we have most of the selective schools in the country, so a lot of us tend to get really competitive. You know the good old saying if you got it flaunt it. People take it to heart...

Both? I think many times they compliment each other while other times they hold each other back. Ideas do significantly influence many things but so does physical reality and sometimes you gotta make a trade off between the two. I can think of many examples where this has been the case.

Yep I just realised. If no one responds you can just bump it. People probably just didn’t see it.

For future reference please post your questions in the relevant forum. This helps other students who may have the same kind problem and are looking for this thread.

You need to use rules of complex numbers to simplify the expression on the RHS. There's no need for mod arg form. Useful tools that you will need are: |z + x| < |z| + |x|\hspace{2mm} \textbf{The triangle inequality} |z^3| = |z|^3 Using those rules you will be able to simplify the expression...

Don't see why you would have to use induction. Using a = \dfrac{dv}{dt} you get t = \dfrac{u^{n-1} - v^{n-1}}{k(n-1)(uv)^{n-1}} Calculating avg speed you get v_{avg} = \dfrac{x}{t} = \dfrac{u^{n-2} - v^{n-2}}{k(n-2)(uv)^{n-2}}\times \dfrac{k(n-1)(uv)^{n-1}}{u^{n-1} - v^{n-1}} = uv...

I doubt it will have any drastic impact. Atar cutoffs are based on supply and demand. Less spots + a lot of high atar students applying = high atar requirement as there’s limited spots. Unless there’s a drastic shift of people choosing not to go to uni which I highly doubt nothings going to...

It’s actually illegal to post/distribute PDF’s of copyrighted textbooks.

That wasn’t directed to you.

In the future could you keep discussions of certain subject in their relevant sub sections on the forum. This is the wrong thread to be posting up questions for Physics.

How come New Zealand?

I'm sure people have said this many many times. Do what YOU like. I know people that did 4u Maths because of 'very high scaling' and ended up with Atars in the 70s. Time spent on 4u could've been spent on their other subjects which they relatively did better in. Do what you like and are capable...

Well I didn’t even know what nihilism was until now and having searched it up it says that it’s a rejection of all religious and moral principles. Even though I’m an atheist there are many religions that do give good moral teachings. Treating others fairly, being a good person, being honest and...

Update: My memory score.

I’ve never heard of this! Seems pretty cool I’ll try it and get back with ya.

Maybe memorise it more? Each time you read it you’ll forget less and less. Another thing is take it in chunks. Maybe you forget a lot because your trying to memorise too much at once so the information is not being retained properly. You have to figure out how much you can memorise at a time and...

Yeah that’s kinda my bad I gave a really bad example that even I find weird. What I’m trying to say is in the grand scheme of things it seems like they can go hand in hand but getting into the nitty gritty it really raises a lot of alarming questions that we have no Scientific explanation for...

Well I never said that. They may co-exist hundreds of years in the future. Maybe Science finds proof of a God existing, maybe some kind of machine is invented and is able to transport us to and from the dimension where Heaven exists. Endless possibilities. What I’m saying is I don’t believe in...