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phil1882

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Everything posted by phil1882

  1. phil1882

    Cutting pizza

    your description still doesn't make sense. how can all cuts be both vertical and in any direction and no horizontal. which is it, all vertical (same direction) or any direction?
  2. phil1882

    Cutting pizza

    i dont really understand the question. your picture seem contrary to your description. your picture seems to suggest you can cut in any direction, but your description suggests all cuts have to be in the same direction. i'll solve both. for lines in any direction: http://mathworld.wolfram.com/CircleDivisionbyLines.html 1/2*(n^2 +n +2), n=500; 125251 5000000 = 1/2*(n^2 +n +2) n=3162 for cuts in the same direction: each cut adds 1 new region. for 500 cuts, that 501 rejoins to get 5000000 peices 4999999 cuts are needed
  3. phil1882

    exponential help

    this isn't really homework, just something i'm fiddling with. let's say 100% of all people earn a dollar or more; and 90% of all people earn 10 dollars or more; and 50% of all people earn 20 dollars or more; and 33% of all people earn 30 dollars or more; and no one earns more than 40 dollars; can you write an equation that goes though the other values? (can you compute say 2 dollars or more?)
  4. phil1882

    Who can go the lowest?

    i'd probably pick
  5. phil1882

    Westworld Mafia

    whoops, legitimately forgot about this topic, sorry guys.
  6. phil1882

    Westworld Mafia Signups

    count me in, though i may be rather slow in posting.
  7. heres an alternate version that i came up with, place the digits 1-n where n is 4 such that no consecutive digit of any step value, starting at step value, repeats. here's an example where n is 2. 0 1 0 2 1 0 2 1 2 0 1 ? 1 2 3 4 5 6 7 8 9 10 11 12 here starting from 1 and going a step of 1, there are no repeats. starting from 2 and going a step of 2, no repeats, and so on. However there is no way to get 12 without repeating. your task is to find the max value for 4.
  8. phil1882

    A bug problem

    lets do several steps and see if we can develop such a function. 1 H 1 S 1 N 3 H 1 S 2 H 3 S 3 N 9 H 5 S 2 N 12 H 11 S 9 N 31 H 21 S 12 N 54 H 43 S 31 N so here are our rules. Hn = 2*Sn-1 +Nn-1 Sn = Hn-1 +Nn-1 Nn = Hn-1 so, combining we have... Sn = Nn +Nn-1 then Sn-1 = Nn-1 +Nn-2 thus Hn = 2*(Hn-2 +Hn-3) +Hn-2 Hn = 3*Hn-2 +2*Hn-3 so... F(x) = 1 +3x^2 +2x^3 +9x^4 +12x^5 ... 3x^2*F(x) = +3x^2 +9x^4 +6x^5 2x^3*F(x) = +2x^3 +6x^5 F(x)*(1 -3x^2 -2x^3) = 1 F(x) =1/(1 -3x^2 -2x^3) thus it will be the nth term of this series, whatever that is.
  9. phil1882

    The Car Problem.

    if i spent a month on it i might be able to do the necessary calculation, don't have that kind of patience though.
  10. phil1882

    erdos decrepency conjecture

    since it been a couple weeks without even a guess, I'll go ahead and post my answer and see if anyone can do better. i get 59. 0 1 0 2 0 3 0 1 0 3 0 2 0 1 0 3 0 1 0 2 0 1 0 4 0 1 0 2 0 3 0 1 0 3 0 2 0 1 0 4 0 1 0 2 0 1 0 3 0 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 2 0 1 0 4 0 1 0 ? 51 52 53 54 55 56 57 58 59 60
  11. phil1882

    What are the rules of rules?

    the first rule of fight club is, you do not talk about fight club. there are no rules for how rules are made, with the exception that we try to stabilize and civilize society.
  12. phil1882

    definition of definition?

    in order to describe a word, we often refer to it's definition. but what's the definition of definition?
  13. phil1882

    5x5 statement table.

    i think you mean... x: this number is surrounded by no more than x true statements. what the maximum number of trues you can have, and what would the board look like? here's my attempt
  14. phil1882

    5x5 statement table.

    it seems to me that T F F T should be 1 2 2 1. if you meant this... 3 2 1 4 1 2 3 3 3 3 3 4 6 4 4 2 3 4 4 3 1 1 2 4 3 cannot be solved. F T start for top left corner T T now 1 doesn't work.
  15. phil1882

    Dvds for Christmas

    i'd say 6. if you take into account letter frequency, the letters to the left of u far outweigh the letters to the right.
  16. phil1882

    recursive number addition

    alright thanks good to know.
  17. phil1882

    recursive number addition

    if n is composite, break it into its prime factors, if n is prime, place < > around n and replace n with the nth prime its is. the first 20 numbers then are... 1 <> 2 <<>> 3 <><> 4 <<<>>> 5 <><<>> 6 <<><>> 7 <><><> 8 <<>><<>> 9 <><<<>>> 10 <<<<>>>> 11 <><><<>> 12 <<><<>>> 13 <><<><>>14 <<>><<<>>> 15 <><><><> 16 <<<><>>> 17 <><<>><<>> 18 <<><><>> 19 <><><<<>>> 20 hypothesis: 1) there is no general method for adding recursive numbers. 2) numbers that differ by 1 wont differ in recursive representation by more than 2 brackets 3) symmetric recursive numbers, recursive numbers that can be represented in such a way that they are a mirror image at the middle, grow at a logarithmic rate somewhat similar to the primes. can you confirm or disprove any of these?
  18. phil1882

    recursive number addition

    the strings <<>><><>, <><><<>> are considered equivalent, though for the proposes of uniqueness, i put the factors in order from lowest to highest.
  19. phil1882

    recursive number addition

    correct. one of my questions is about addition. basically my question is, given a number system that uses multiplcation as its basis, (multiplying two numbers in recursive format is just concatenation) an you come up with a method for addition? ill do 7 as an example 7 is prime. < 7 > 7 is the 4th prime so replace the 7 with a 4. < 4 > 4 is composite, its factors are 2 and 2. < 2 2 > 2 and 2 are prime. <<2><2>> the number two is the first prime so cant be reduced further. replace with blank. <<><>>
  20. phil1882

    Prove that you solved sudoku

    it seems to me what you really need is an encryption method that can be reversed if necessary but would take longer to reverse than to solve the sudoku yourself and get the same encryption. what do you think of this idea? it may not even require a computer, depending on how difficult the encryption method is.
  21. phil1882

    11 Letters

    doorenownly is the best i could com up with.
  22. phil1882

    The Android unlock pattern

    i'd say its
  23. phil1882

    Folding a paper into a sphere

    assuming you also had scissors...
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