Sylverdrag
Reputation
741
Top tag
Next privilege 1,000 Rep.
Create tags
 Jan23 comment Splitting a sandwich and not feeling deceived Cutting in 3 one time does not work, because the issue is that they don't trust each other. It is in the first guy's best interest to cut properly, but if he is a lousy cutter there is no mechanism by which the others can correct it. There is also a clear advantage in being able to chose first. If A cuts, which of B or C will chose first? Why? And if A isn't good at cutting, he will get less which is unfair. My solution is not perfect but it gives all players a similar amount of control and avoid creating useless crumbs (cf sol 1). Jan18 comment Splitting a sandwich and not feeling deceived You are outside the scope of the question: the original problem was sharing a cake betwen 2 people who want their fair share but don't trust the other. Expanding it to 3 people, we have 3 people who want their fair share. The failure can only occur if C does not actually wants his fair share, in which case most answers above fail completely, whereas my solution limits the failure to a single 1/9th piece. B gets less, but only if C agrees to take even less than B, which is outside the scope of the question asked. Jan18 comment Splitting a sandwich and not feeling deceived Read again and that time do try to understand the solution. A and B cuts the cake into a large one and 2 tiny pieces. Now we have 2 big pieces and a bunch of crumbs. What you didn't understand is that C cuts EACH piece in 3 EQUAL pieces. Nothing A and B can do about it. After C, you have 6 equal pieces and a bunch of crumbs. If C cuts properly, he will get exactly 1 third of the cake. Nov18 comment How to convince a layman that the $\pi = 4$ proof is wrong? That's probably because I read your your original comment to my 2 years old answer as a critique rather than as a genuine question. Nov18 comment How to convince a layman that the $\pi = 4$ proof is wrong? @JesseMadnick Usually, when the only definition you know does not match the context, the logical next step is to look up the word in a dictionary. According to the American Heritage dictionary, one of the definitions for the word "surface" is: [Mathematics] "A portion of space having length and breadth but no thickness." Does that help? Dec30 comment My brothers share from income. @Aman You are correct, if the partner is the one who collects the money, your brother should get \$600 based on your agreement. Jun4 comment Real world applications of prime numbers? that sounds interesting. Any specific example? Jun4 comment Real world applications of prime numbers? How would they be used for that purpose? Is it different from the cryptographic use? Jun4 comment Real world applications of prime numbers? @Arturo: No offense intended. Too me, Math is just a tool. Math for the sake of Math is not something I am interested in. Jun4 comment Real world applications of prime numbers? Thanks, that's a great answer. Is there any other use besides cryptography?