This time not stupid math

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  • Zapmeister
    FFR Player
    • Sep 2012
    • 466
    #16
    Re: This time not stupid math

    I wonder if you saw my 3rd edit at the end of my post while you were writing that. :P

    Ok, so if you just wanted to sum x^19 from x=1 to 99, then you'd probably be best drawing out the Stirling triangle and doing the method I described. The recursion method I linked to in "edit 3" won't help you much, unless you wanted to know all the cases n=18, 17, 16, ...

    Good luck. :P

    Theorem: If you have a large enough number of monkeys, and a large enough number of computer keyboards, one of them will sight-read AAA death piano on stealth. And the ffr community will forever worship it. Proof Example

    ask me anything here

    mashed FCs: 329

    r1: 5
    r2: 4
    r3: 6
    r4: 8
    r5: 3
    r6: 5
    r7: 15
    final position: 4th

      Comment

      • Reincarnate
        x'); DROP TABLE FFR;--
        • Nov 2010
        • 6332
        #17
        Re: This time not stupid math

        lol
        Last edited by Reincarnate; 09-8-2014, 07:00 PM.

          Comment

          • Reincarnate
            x'); DROP TABLE FFR;--
            • Nov 2010
            • 6332
            #18
            Re: This time not stupid math

            lol
            Last edited by Reincarnate; 09-8-2014, 07:00 PM.

              Comment

              • Reincarnate
                x'); DROP TABLE FFR;--
                • Nov 2010
                • 6332
                #19
                Re: This time not stupid math

                lol
                Last edited by Reincarnate; 09-8-2014, 06:59 PM.

                  Comment

                  • Zapmeister
                    FFR Player
                    • Sep 2012
                    • 466
                    #20
                    Re: This time not stupid math

                    What the literal fuck O__O

                    That is so much neater than whatever methods have come up so far (generating functions and finite calculus and whatever). I can't see an obvious proof as to why that works, but hey, you might have just won this thread.

                    Theorem: If you have a large enough number of monkeys, and a large enough number of computer keyboards, one of them will sight-read AAA death piano on stealth. And the ffr community will forever worship it. Proof Example

                    ask me anything here

                    mashed FCs: 329

                    r1: 5
                    r2: 4
                    r3: 6
                    r4: 8
                    r5: 3
                    r6: 5
                    r7: 15
                    final position: 4th

                      Comment

                      • SKG_Scintill
                        Spun a twirly fruitcake,
                        FFR Simfile Author
                        • Feb 2009
                        • 3876
                        #21
                        Re: This time not stupid math

                        Oh jeez, I can't even watch sitcoms anymore or I'm behind with the times.
                        Ehhm, I'll have something to read on my free night tonight





                        Originally posted by bluguerilla
                        So Sexy Robotnik (SKG_Scintill) {.0001/10} [--]
                        ___
                        . RHYTHMS PR LAYERING
                        . ZOMG I HAD TO QUIT OUT TERRIBLE
                        .

                          Comment

                          • smartdude1212
                            2 is poo
                            FFR Simfile Author
                            • Sep 2005
                            • 6687
                            #22
                            Re: This time not stupid math

                            What R did in his lengthy post looks familiar with what I know on this subject regarding generating functions, etc... of course, if you wanted to go through those steps 100 times... let's just say you'd rather eat lead. That program is definitely tidy.

                              Comment

                              • Reincarnate
                                x'); DROP TABLE FFR;--
                                • Nov 2010
                                • 6332
                                #23
                                Re: This time not stupid math

                                lol
                                Last edited by Reincarnate; 09-8-2014, 07:00 PM.

                                  Comment

                                  • Reincarnate
                                    x'); DROP TABLE FFR;--
                                    • Nov 2010
                                    • 6332
                                    #24
                                    Re: This time not stupid math

                                    lol
                                    Last edited by Reincarnate; 09-8-2014, 06:59 PM.

                                      Comment

                                      • Reincarnate
                                        x'); DROP TABLE FFR;--
                                        • Nov 2010
                                        • 6332
                                        #25
                                        Re: This time not stupid math

                                        You can also use

                                        Faulhaber's formula - Wikipedia
                                        http://en.wikipedia.org/wiki/Faulhaber%27s_formula


                                        With the recursive definition for the Bernoulli numbers defined here

                                        Bernoulli number - Wikipedia
                                        http://en.wikipedia.org/wiki/Bernoulli_number#Recursive_definition



                                        But I mean it may as well just be this...

                                        Code:
                                        def brute(x,y):
    return sum(i**(x-1) for i in range(1,y))
                                        Last edited by Reincarnate; 03-20-2013, 05:35 PM.

                                          Comment

                                          • benguino
                                            Kawaii Desu Ne?
                                            • Dec 2007
                                            • 4190
                                            #26
                                            Re: This time not stupid math

                                            Hey Reincarnate, do you have a proof or at least a brief explanation for why the method you posted on the first page works?
                                            AMA: http://ask.fm/benguino


                                            Originally posted by Spenner
                                            (^)> peck peck says the heels
                                            Originally posted by Xx{Midnight}xX
                                            And god made ben, and realized he was doomed to miss. And said it was good.
                                            Originally posted by Zakvvv666
                                            awww :< crushing my dreams; was looking foward to you attempting to shoot yourself point blank and missing

                                              Comment

                                              • Reincarnate
                                                x'); DROP TABLE FFR;--
                                                • Nov 2010
                                                • 6332
                                                #27
                                                Re: This time not stupid math

                                                lol
                                                Last edited by Reincarnate; 09-8-2014, 07:00 PM.

                                                  Comment

                                                  • PaperclipGames
                                                    Mrow~
                                                    • May 2008
                                                    • 648
                                                    #28
                                                    Re: This time not stupid math

                                                    You learn something new every day. That page on Wolfram is actually quite enlightening! Thanks for posting.
                                                    948 AAAs | 1461 FCs | 549 TPs | 7 FMO AAAs
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