--- Log opened Sun Mar 29 00:00:37 2020 |
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08:51 | <&McMartin> | Attn at minimum Reiver https://twitter.com/thedouglane/status/1243249964836425729 |
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09:33 | <~Vorntastic> | Things that annoy me: factoradic to actual permutation requires mutation |
09:34 | <~Vorntastic> | (or scads of lists) |
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10:17 | <&Reiver> | that did not mean a lot |
10:22 | <~Vorntastic> | A factoradic is a way to describe a particular permutation via a single number; it has the advantage that a permutation with a higher factoradic representation is later, lexicographically, than one with a lower number |
10:30 | <~Vorntastic> | But it's done by having a variable base; you take out a base 2 digit and then a base 3 digit and then a base 4 digit, etc; then each entry in the permutation is the kth entry in the sorted list of remaining elements that remain where k is the matching digit |
10:35 | <~Vorntastic> | So for instance: 15 is 2 1 1, so for a permutation of abcd, I have 'abcd'[2] = 'c', then 'abd'[1] = 'b', 'ad'[1] = 'd', and then we have just 'a' left over, so it's 'cbda' |
10:37 | <~Vorntastic> | But: this is slightly annoying because each step requires a list-ish pile of data from the previous step |
10:37 | <&Reiver> | I'm not quite sure how 15 is 2 1 1 |
10:39 | <~Vorntastic> | Divmod(15,2) = 7,1; divmod(7,3) = 2,1; divmod(2,4) = 0,2 |
10:40 | <&Reiver> | ohkay |
10:42 | <~Vorntastic> | Or the other way around: (2*3+1)*2+1=15 |
10:42 | <&Reiver> | o-KAY! |
10:42 | <&Reiver> | That one makes sense cheer |
10:44 | <~Vorntastic> | (whereas in, say, ternary, (1*3+2)*3+0=15 means 15 is 120 in ternary) |
10:44 | <&Reiver> | gotcha, rightoh |
10:44 | <&Reiver> | Though in all this I now have a ponderance for the name that must presuambly exist for a truly absurd exploding function |
10:44 | <~Vorntastic> | "factorial" |
10:45 | <~Vorntastic> | You know it already |
10:45 | <&Reiver> | You get quadratic: x^2; you get exponential 2^x; what is... uh |
10:46 | <&Reiver> | 1^2, 1^2^3, 1^2^3^4 etc |
10:46 | <~Vorntastic> | Well |
10:46 | <~Vorntastic> | That's 1 |
10:46 | <&Reiver> | ... |
10:46 | <&Reiver> | godamnit |
10:46 | | * Reiver will go hide in the box of shame, now. |
10:47 | <&Reiver> | wait no I rememer what it was meant to be before my fingers made me dumb |
10:47 | <&Reiver> | (Whoever is in charge of them needs to be shot, geez) |
10:47 | <&Reiver> | 1^2, 2^3, 3^4, 4^5 etc |
10:49 | <~Vorntastic> | http://oeis.org/search?q=1%2C8%2C81%2C1024&language=english&go=Search |
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10:50 | <&Reiver> | So it's called... A007778? |
10:50 | <&Reiver> | And is defined as nonn,easy |
10:50 | <&Reiver> | oh go away you cocky bastards |
10:50 | | * Reiver giggles. |
10:51 | <~Vorntastic> | No those are tags |
10:55 | <~Vorntastic> | Nonn means that the sequence is non-negative; easy means that the sequence is easy to calculate |
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12:05 | <@ErikMesoy> | Reiver: Tetration? |
12:07 | <~Vorntastic> | Arrow notation? |
12:14 | <&Reiver> | I don't know but they both sound cute |
12:17 | | * Emmy resist a yo momma joke |
12:17 | < Emmy> | *resists |
12:51 | | * TheWatcher fingertappity at this FSM |
12:56 | <@TheWatcher> | 50 states and climing. I think I need to HSM this thing. |
14:29 | < catalyst> | flying spaghetti monster has ruined state machines for me |
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15:24 | <@gnolam> | Your mistake was adding Alaska. |
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21:25 | <&McMartin> | catalyst: When I needed to write up finite state machines, I used as my example one where the input was alcohol and the output was freshly-created universe |
21:25 | <&McMartin> | So as to be consistent with the Pastafarian creation story |
21:46 | <&Reiver> | O.o |
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23:52 | <&McMartin> | https://bumbershootsoft.wordpress.com/2018/09/15/lights-out-2600-game-flow-fsm/ |
--- Log closed Mon Mar 30 00:00:38 2020 |