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What's the most interesting thing you have learned this year in maths?

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Looking into quarternions
Reply 81
Avatar for 1420787
1420787
3
5 Pirates Problem

5 pirates of different ages have a treasure of 100 gold coins. On their ship, they decide to split the coins using this scheme: The oldest pirate proposes how to share the coins, and ALL pirates (including the oldest) vote for or against it. If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.As pirates tend to be a bloodthirsty bunch, if a pirate would get the same number of coins if he voted for or against a proposal, he will vote against so that the pirate who proposed the plan will be thrown overboard.Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?

Solutions?

Spoiler

Reply 82
Avatar for math42
math42
20
Original post by offhegoes
5 Pirates Problem

5 pirates of different ages have a treasure of 100 gold coins. On their ship, they decide to split the coins using this scheme: The oldest pirate proposes how to share the coins, and ALL pirates (including the oldest) vote for or against it. If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.As pirates tend to be a bloodthirsty bunch, if a pirate would get the same number of coins if he voted for or against a proposal, he will vote against so that the pirate who proposed the plan will be thrown overboard.Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?

Solutions?

Spoiler



I enjoy the intuition-busting nature of this one. I guess I'll do some explaining; it's late and I'm bored

Spoiler

Prepared a presentation for the Naviar Stokes equations. Part of it was a simple gas flow derivation that I'd found on that internet, and it was quite amazing to see simple physical variables be magically transformed into intuitive differential equations
The monkeys and coconuts problem
Reply 85
Avatar for M14B
M14B
18
Are there too many people showing off in this thread?
Original post by M14B
Are there too many people showing off in this thread?


If by showing off you mean answering the question then yeah


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Reply 87
Avatar for 1420787
1420787
3
Original post by M14B
Are there too many people showing off in this thread?


I'm not sure if 'showing off' is the best way to describe it. It is maths after all. No-one is getting laid off the back of this thread.
Original post by Redcoats


Is that true for any x,y?


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Original post by Redcoats


Ive never come across mod(a,b) notation. What does this mean.


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Original post by physicsmaths
Ive never come across mod(a,b) notation. What does this mean.


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It's called Tupper's Self Referential Formula (also called 'the everything formula')

Mod(a,b) is where a is the number for which you want to find the remainder and b is the divisor.

Check out this video on it - you'll be glad you did; what the formula can do is insane!

https://www.youtube.com/watch?v=_s5RFgd59ao
Original post by Redcoats
It's called Tupper's Self Referential Formula (also called 'the everything formula')

Mod(a,b) is where a is the number for which you want to find the remainder and b is the divisor.

Check out this video on it - you'll be glad you did; what the formula can do is insane!

https://www.youtube.com/watch?v=_s5RFgd59ao


That the one they used to make the batman graph?


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Original post by drandy76
That the one they used to make the batman graph?


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No, it does way better than that!
Original post by Redcoats
No, it does way better than that!


Are you implying that anything in this world is greater than the dark knight?
(Like what?)


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2+2=5
Calculating whether different stars can float in a a bathtub and also binomial expansion.
Original post by Redcoats
It's called Tupper's Self Referential Formula (also called 'the everything formula')

Mod(a,b) is where a is the number for which you want to find the remainder and b is the divisor.

Check out this video on it - you'll be glad you did; what the formula can do is insane!

https://www.youtube.com/watch?v=_s5RFgd59ao


Its writte a Z_b or a (mod b) didn't know skme people write it like that.


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