gnpatterson

no i have been slightly crpytic in the reply silver nitrate is the answer

two ways to think about this either classical in which you concider the extra force on the bottom of the glass needed to accelerate the water (the fact that it is a liquid is irrelevant, you could concider a cylinder of ice, the area cancels out it is just the height and density that are important) or the GR way were you say acceleration and gravity are indistinguisable and you just you have a new local gravity g'=g+a in fact we informaly recognise the lack of any distinction by talking about pulling a number of Gs when we accelerate and we instinctively think of it in these terms so just use your new g' to calculate the pressure. you can do the same sort of problem with glasses of water in merry-go-rounds or centrifuges for you second question you will have to take a bath, it is the time honoured method of getting the answer to this question

I believe that idea of disrupting the crystal lattice is in fact more subtle in that it is really only properly explained if a discussion of the entropic principle is included in the eutectic alloy a highly ordered structure is obtained as the solid phase and the contribution of this order/disorder to the transistion in the mixture is the important factor. the question is if you are a liquid mixture of 90%tin and 10%lead and your are being cooled what do to accomodate this. the answer is that you separate into some impure tin crytals and a liquid mixture of tin and lead that maximises the entropy of the whole system. the concept of bond energies arent as important as the amount of entropy given to the liquid by being more disorganised.

what sort of chemistry have you been doing recently? that should provide a clue. you are probably looking for an insoluble product containing chloride ions dont worry if you dont get a gold medal, second place will do.

better link http://www.chemguide.co.uk/physical/phaseeqia/snpb.html

i dont think you need simultaneous equation for second as it gives you the fact that the first case charges are identical

don't give up the single electron thoery just yet, you could say that it is the same electron but that it has traveled to the black hole at the end of the universe and traveled back in tome to the start of the universe and that it has done this once for every electron that we see. You could then write a message (kilroy was ere) on the electron and see which electrons have the message on them thus deducing which electrons had been throught the universe before and after the one you marked.

wow that is an incredible result

can you add vectors? if so just calculate the field due to each charge and add them up one situation will totally cancel out and the other will add up to give terms that "cancel" in mathematical terms to a very simple expression in q and a it is possible to think of the problem in geometric terms but that makes peoples heads hurt.

cooling curve is key to finding the melting point of a eutectic mixture see http://www.ce.berkeley.edu/~paulmont/CE60/alloys/sld008.htm

The wick effect works in micro gravity, it is due to capilarity/surface wetting effect so it will continue to "rise" to the "top". The horizontal fast burning candle phenomena you describe in gravity is due to the convection of heat from the flame into the side of the candle and the failure of the candle to form a stable pool of wax. You must have observed how quickly a candle burns if you constantly drain the little pool of wax. You may have observed how quickly you can melt one candle into the flame of another to produce a massively waxy decorated bottle with candle? If not I can tell you it is great fun (well maybe once or twice after a while it gets boring and your girlfriend starts to get impatient and the waitors try to move you out)

I had never heard of aerogel before but it looks incredible. However it would be no good for this purpose as it is an OPEN structure. If you took a lump of it that had been in air and put it in uranium hexafloride it would flost for a while as the air percolated out but it would sink slowly to the ground as the UF6 diffused in. In fact bog standard polystyrene foam will just-about do the job. The first demonstration of the principal of the heavier than air solid was of course by the Montgolfier brothers in 1783.

How about this one I was three times the age of my brother five years ago and now I am just twice as old as he, how old am I now. can any one make this rhyme?

3 fifths of the beans is 50g - 20g = 30g therefore one fifth = 10g so the jar = 20g - one fifth = 10g

got it! it _was_ so much easier to do than I was making it!! so much for the question being for exceptionally gifted, if I had just read the question carefully to start with. I suppose all i have to do is enter two sets of answers in to the site, one deliberately wrong and one with my guess.

Also from your matrix I can see that the assumption I was making was that sharers that got kicked off their territory don't bred that year but do bred next year is wrong and that I was making it too complicated. However surely the matrix should include the information about the number of surviving furbles ie a +1 to each term?

the only game theory I know is the min-max theorem. but to get to that point you have to do a lot of probability work, this question seems to have a lot of probability work, but i'm not sure that qualifies it to be called game theory. usually in game theory you are asked to optimise a strategy, in this case you are not allowed to change the strategy. I can see the similarity in the situations but not how game theory applies, except of course that the proportion of furbles is going to stationary at some optimal growth rate. I can see the matrix you have drawn and I would suppose that it should/could be decombosed into eigen vectors for the stable and unstable proportions. this would give you a couple of answers to use as guesses and the site would let you know which one is the correct one.

which problem is not that complicated? a) the inexplicable motives of people or b) the proportion of furbles c) both d) none of the above

I think i made the assumption that the puzzle was given on the more usual basis of "here is a puzzle that I came across and worked out/couldn't work out; what do you all think of it?" rather than "here is a problem that i want the solution to, you lot are a cheap resource and if it is presented as a challenge you'll work it out for me" I have no objection to the later presentation, that is what the homework forum is for but I mistoke it for the former. that is entirely my fault and due to an obvious imparment on my part in how i process information about the intentional states of others.

On the subject of hacking the client side software, and automating your answer I suggest you 1) learn HTML 2) learn asp 3) learn javascript Then you have different options A) reverse engineer the client side soft and write a parallel solution that pulls the "answers" from a data base of some sort (since youve learnt asp by this stage it shouldnt be a problem. B) write a plugin to automate your browser to push the answers into the existing software again from a database you have constructed. however it does seem that the site has put up some barriers to doing this sort of thing, so you may find your IP address gets logged and you get banned from the site.

well start by writing out the information given as statements that invlove the probability of it happening for example New dominators = 10 * (prob that dominator will win * prob that dominator meets dominator + prob that dominator meets sharer) Old Dominators New sharers = 5 * prob sharer meets sharer * Number non-cautious sharers _____________ + 3 * Number of cautious shares NB there is a flaw in one or both of these equations but I'm not giving the answers away for free any more.

I agree that it is a waste of time getting the answer (having done it and posted it I feel somewhat "used"), but if you try a differrent orientation you can get more in.

If you are so desparate to get the answers, why don't you hack the client side code that is serving the site and use it to bombard the site with systematic guess answers until it confirms each one is correct?

Ah spotted the problem the two diagrams are slightly different, with one (sub) rectangle being flipped. Don't you feel however that the method you used lacks the finesse required by a high IQ society? I know IF the answer is the only thing that is important then it doesnt matter how you get it. BUT for me the method is the only thing i will take away from the problem, so to me it is the important thing.

you are right, mathworld is wrong I just did the maths and you are spot on