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Unome wrote:

jonboyage wrote:

Unome wrote: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:

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

Name wrote:

Unome wrote:

jonboyage wrote:
I looked it up recently and Stirling’s Approximation seems to be good:

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 the edit?

PM2017 wrote:

Name wrote:

Unome wrote: 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 the edit?

Instead of plus 1 it should be plus log(sqrt of n

Do any of you guys have a list of stuff you should memorize?

hippohungry wrote:Do any of you guys have a list of stuff you should memorize?

A few that might help:
-Sheets of paper in an inch
-Inch/Feet/Mile
-Radius of the earth
-Ratio of radius of earth to sun and earth to jupiter
-One AU
-Speed of light
-Height of well-known structures (Eiffel Tower, Statue of Liberty, etc)
-Size of the observable universe, Milky Way, distance to Andromeda galaxy
-Number of liters in the Pacific and Atlantic ocean (sounds specific, but related questions are incredibly common)
-General idea of US geography (know the distance from top to bottom, be able to estimate size of a state
-General idea of how big cars/school busses/etc are
-Log 2,3,4,5 (will make exponent questions so much faster)
Honestly, it's a good idea to practice with questions on http://www.fermiquestions.com to get an idea for common ones

NeilMehta wrote:

hippohungry wrote:Do any of you guys have a list of stuff you should memorize?

A few that might help:
-Sheets of paper in an inch
-Inch/Feet/Mile
-Radius of the earth
-Ratio of radius of earth to sun and earth to jupiter
-One AU
-Speed of light
-Height of well-known structures (Eiffel Tower, Statue of Liberty, etc)
-Size of the observable universe, Milky Way, distance to Andromeda galaxy
-Number of liters in the Pacific and Atlantic ocean (sounds specific, but related questions are incredibly common)
-General idea of US geography (know the distance from top to bottom, be able to estimate size of a state
-General idea of how big cars/school busses/etc are
-Log 2,3,4,5 (will make exponent questions so much faster)
Honestly, it's a good idea to practice with questions on http://www.fermiquestions.com to get an idea for common ones

Wow, Neil, I'm impressed. Division B and already Fermi-ready. I would never be able to do that.

The principles behind Fermi are not difficult. It's mastering the applications that takes practice.

Tailsfan101 wrote:

NeilMehta wrote:

hippohungry wrote:Do any of you guys have a list of stuff you should memorize?

A few that might help:
-Sheets of paper in an inch
-Inch/Feet/Mile
-Radius of the earth
-Ratio of radius of earth to sun and earth to jupiter
-One AU
-Speed of light
-Height of well-known structures (Eiffel Tower, Statue of Liberty, etc)
-Size of the observable universe, Milky Way, distance to Andromeda galaxy
-Number of liters in the Pacific and Atlantic ocean (sounds specific, but related questions are incredibly common)
-General idea of US geography (know the distance from top to bottom, be able to estimate size of a state
-General idea of how big cars/school busses/etc are
-Log 2,3,4,5 (will make exponent questions so much faster)
Honestly, it's a good idea to practice with questions on http://www.fermiquestions.com to get an idea for common ones

Wow, Neil, I'm impressed. Division B and already Fermi-ready. I would never be able to do that.

Wait, why is he (neil) doing this then?

PM2017 wrote:

Tailsfan101 wrote:

NeilMehta wrote: A few that might help:
-Sheets of paper in an inch
-Inch/Feet/Mile
-Radius of the earth
-Ratio of radius of earth to sun and earth to jupiter
-One AU
-Speed of light
-Height of well-known structures (Eiffel Tower, Statue of Liberty, etc)
-Size of the observable universe, Milky Way, distance to Andromeda galaxy
-Number of liters in the Pacific and Atlantic ocean (sounds specific, but related questions are incredibly common)
-General idea of US geography (know the distance from top to bottom, be able to estimate size of a state
-General idea of how big cars/school busses/etc are
-Log 2,3,4,5 (will make exponent questions so much faster)
Honestly, it's a good idea to practice with questions on http://www.fermiquestions.com to get an idea for common ones

Wow, Neil, I'm impressed. Division B and already Fermi-ready. I would never be able to do that.

Wait, why is he (neil) doing this then?

(Not competing in the event, but it’s one of my favorite C events, so i try to help out when i can on the forums and through test-writing)

Other than memorizing a bunch of facts, is there another way to practice for this event?