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by Name
February 8th, 2018, 11:24 am
Forum: 2018 Question Marathons
Topic: Fermi Questions C
Replies: 175
Views: 52152

Re: Fermi Questions C

new question: how many µL of ink would it take to print one copy of Shakespeare's Romeo and Juliet ? Attempt|I'm gonna assume that Romeo and Juliet is around 300 pages and I doubt a page takes that much ink. 1 ML seems too much and I'll assume 3 microliters which is Fermi answer 3. Solution|It seem...
by Name
January 24th, 2018, 5:14 pm
Forum: 2018 Study Events
Topic: Fermi Questions C
Replies: 70
Views: 17266

Re: Fermi Questions C

That seems to be a really good approximation... but how are you supposed to use that practically? N times log(n minus n times .43429(log of e) plus one works well, especially with higher numbers Edit: it should be plus log(sqrt of n but it'll usually be 1 anyways Can you clarify what you mean by th...
by Name
January 24th, 2018, 2:14 pm
Forum: 2018 Study Events
Topic: Fermi Questions C
Replies: 70
Views: 17266

Re: Fermi Questions C

Does anyone know any good ways to do factorials? I've been having problems estimating them, and memorization isn't helping. I looked it up recently and Stirling’s Approximation seems to be good: n! \sim \sqrt{\left( 2 \, \pi \, n \right)} \, \left( \frac{n}{e} \right)^{n} That seems to be a really ...
by Name
January 22nd, 2018, 5:23 pm
Forum: 2018 Study Events
Topic: Fermi Questions C
Replies: 70
Views: 17266

Re: Fermi Questions C

What good resources are there besides the invite tests in the test exchange and the website
by Name
January 22nd, 2018, 12:11 pm
Forum: 2018 Invitationals
Topic: MIT Invitational 2018
Replies: 260
Views: 55496

Re: MIT Invitational 2018

What was a Fermi medal score
by Name
January 21st, 2018, 10:26 pm
Forum: 2018 Question Marathons
Topic: Fermi Questions C
Replies: 175
Views: 52152

Re: Fermi Questions C

Ha! A funny question! I do not know if the man made many recordings of Firebird, but I'll choose the famous one, since the others are probably the same! Ok! Here we go! ok so, Firebird is about 45 minutes long if my memory serves me correct, not including audience claps. Now Valery does quite a bit...
by Name
January 21st, 2018, 7:45 pm
Forum: 2018 Study Events
Topic: Fermi Questions C
Replies: 70
Views: 17266

Re: Fermi Questions C

Does anyone have a good way to calculate (1.03)^2500? There was a question involving this on our invitational test, and my partner and I were wayyy off. I have tried using the binomial expansion, solving for the index of the largest term, and then using Stirlings to solve for the coefficients, but ...
by Name
January 21st, 2018, 7:43 pm
Forum: 2018 Study Events
Topic: Fermi Questions C
Replies: 70
Views: 17266

Re: Fermi Questions C

Does anyone have a good way to calculate (1.03)^2500? There was a question involving this on our invitational test, and my partner and I were wayyy off. I have tried using the binomial expansion, solving for the index of the largest term, and then using Stirlings to solve for the coefficients, but ...
by Name
January 21st, 2018, 4:44 pm
Forum: 2018 Invitationals
Topic: MIT Invitational 2018
Replies: 260
Views: 55496

Re: MIT Invitational 2018

Why is this? Because invitational tests have had this weird value put on them by competitors that has led to widespread engagement in a black market of sorts that has artificially increased their perceived worth, so in order for tournaments to reclaim control of where their resources go, they eithe...

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