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Daedalus

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Status Replies posted by Daedalus

  1. I have finally made a break through on the Collatz conjecture. Although I still cannot prove the conjecture, my work has allowed me to create two new challenges, one which will be the toughest one yet... I'll have them posted as soon as I can find the time to write them up. :D

    1. Daedalus

      Daedalus

      The equation produces all of the odd numbers that reduce to 1 given N iterations of the odd rule. For instance, 5 and 21 reduce to 1 in one iteration of the odd rule:

       

      3(1)+1 = 4

      4 / 2^2 = 1

       

      3(21)+1 = 64

      64 / 2^6 = 1

       

      So, the equation uses N along with separate equations that calculate the exponents for the 2s. Thus, grouping odd numbers by the numbers of times the odd rule is applied along with the exponents for the 2s that are divided out.

    2. (See 34 other replies to this status update)

  2. I have finally made a break through on the Collatz conjecture. Although I still cannot prove the conjecture, my work has allowed me to create two new challenges, one which will be the toughest one yet... I'll have them posted as soon as I can find the time to write them up. :D

    1. Daedalus

      Daedalus

      I thought of that one John ;) I'm exploring the equation.

    2. (See 34 other replies to this status update)

  3. I have finally made a break through on the Collatz conjecture. Although I still cannot prove the conjecture, my work has allowed me to create two new challenges, one which will be the toughest one yet... I'll have them posted as soon as I can find the time to write them up. :D

    1. Daedalus

      Daedalus

      Well, if you have the equation that predicts every possible odd number that reduces to 1 in N iterations of the odd rule in the Collatz conjecture, then by all means post that sucker ;)

    2. (See 34 other replies to this status update)

  4. I have finally made a break through on the Collatz conjecture. Although I still cannot prove the conjecture, my work has allowed me to create two new challenges, one which will be the toughest one yet... I'll have them posted as soon as I can find the time to write them up. :D

    1. Daedalus

      Daedalus

      Just to ease your mind about possibilities Unity+, 227217986725615267933811128765350186534545253271142117789941306898659 reduces to one in 5 iterations of applying the odd rule. The count of twos at each step you have to divide out is {1,58,59,59,58}.

    2. (See 34 other replies to this status update)

  5. I have finally made a break through on the Collatz conjecture. Although I still cannot prove the conjecture, my work has allowed me to create two new challenges, one which will be the toughest one yet... I'll have them posted as soon as I can find the time to write them up. :D

    1. Daedalus

      Daedalus

      The equation I am developing is more general than Collatz in that it is based on odd x odd + odd = even. Instead of proving the case for 3n+1, I'm close to proving 1n+1. From there, I'm looking for relationships that map to 3n+1, 5n+1, etc.. in hopes to be able to prove the Collatz conjecture.

    2. (See 34 other replies to this status update)

  6. I have finally made a break through on the Collatz conjecture. Although I still cannot prove the conjecture, my work has allowed me to create two new challenges, one which will be the toughest one yet... I'll have them posted as soon as I can find the time to write them up. :D

    1. Daedalus

      Daedalus

      It's not that I'm worried about anyone stealing my work lol. But, I am very close to having an equation that predicts every single number that reduces to 1 given N odd numbers in the hailstone sequences. Plus, I might have found a path that could lead to a proof.

    2. (See 34 other replies to this status update)

  7. I have finally made a break through on the Collatz conjecture. Although I still cannot prove the conjecture, my work has allowed me to create two new challenges, one which will be the toughest one yet... I'll have them posted as soon as I can find the time to write them up. :D

    1. Daedalus

      Daedalus

      Once I have explored this new equation, I will pm you the Mathematica files and the program that I wrote. For now though, I'm going to be a little protective and explore this new equation myself.

    2. (See 34 other replies to this status update)

  8. I have finally made a break through on the Collatz conjecture. Although I still cannot prove the conjecture, my work has allowed me to create two new challenges, one which will be the toughest one yet... I'll have them posted as soon as I can find the time to write them up. :D

    1. Daedalus

      Daedalus

      I check my work using Mathematica. Plus, I wrote a program to generate the sequences.

    2. (See 34 other replies to this status update)

  9. Ugh... I just got back from the ER and I officially have Influenza A :(

  10. Ugh... I just got back from the ER and I officially have Influenza A :(

  11. After one week on the new job as the Sr. Software Engineer, I can truly say that I love my new job. The people are awesome, and the team really works together. I've already fixed a few bugs and have expanded one of our modules to include new functionality. The VP of Development is impressed with my work, and in his e-mail to welcome me to the team he mentions that I came in, hit the ground running, and already have fixes in the code for testing in our next release. High words of praise fo...

  12. Today is such an awesome day!!! I just got a new job as a software engineer for an awesome company, and I couldn't be happier! :D

  13. Don't know if I ever thanked you for teaching double integration, but when i was recently asked where i learnt it i said from you (well, i said some guy on the internet, but i meant you). Thanks.

  14. Happy pi (1/2 of tau) day!

  15. Tis pi day. A day of celebration for mathematicians and scientists alike.

  16. Happy Pi day everyone! Cheers!

  17. Today is a very exciting day for me because I will be at a professional recording studio, Evermind, working on my first demo. I am producing professionally recorded versions of my music. So, let me know if you want a CD of my music, and I'll keep you posted on the progress of this project and will let you know when the CDs are available. :D

  18. Some people might think it's stupid, but I managed to write the bottle of beer on the wall song in C++ :D

  19. SFN and I share our third anniversary today. :D

  20. Michel, what are you saying?

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