Pratchettian Mathematics
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Shaper
Member # 32
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written Monday, September 15 2003 05:05
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1. Do not divide when you can substract. 2X=X X=0 2. 0 is 0, it doesn't get any bigger than that. Although if you can show me otherwise I would really like to read it. -------------------- Lt. Sullust Cogito Ergo Sum Polaris Posts: 2462 | Registered: Wednesday, October 3 2001 07:00 |
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Law Bringer
Member # 2984
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written Monday, September 15 2003 08:16
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It was a joke. Or so I hope. _files/tongue.gif) -------------------- "And all should cry, Beware, Beware! His Flashing eyes, his Floating hair!" S. T. Coleridge --- "It is as if everyone had lost their sense Consigned themselves to downfall and decadence And a wisp it is they have chosen as their beacon." Reinhard Mey. --- Quote of the Week: "I have a high opinion of myself, which makes up for my total lack of intelligence." Anon. Posts: 8752 | Registered: Wednesday, May 14 2003 07:00 |
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Post Navel Trauma ^_^
Member # 67
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written Monday, September 15 2003 10:11
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The number of Xs depend on X, so you can't just ignore that when you differentiate. And on a sidenote, the formula for X^2 you gave only works when X is a whole number, so you might need to mess around either with the function or the definition of the derivative to make it work. -------------------- Grammar wenches beware: This is the house that the malt that the rat that the cat that the dog that the cow that the maiden that the man that the priest that the cock that the farmer kept waked married kissed milked tossed worried killed ate lay in. My Website desperance.net - Leave your sanity at the door Posts: 1798 | Registered: Thursday, October 4 2001 07:00 |
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Shaper
Member # 32
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written Monday, September 15 2003 10:48
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Find a pattern: 1 1 3 39 1215 73575 7352775 [ Monday, September 15, 2003 10:50: Message edited by: Lt. Sullust ] -------------------- Lt. Sullust Cogito Ergo Sum Polaris Posts: 2462 | Registered: Wednesday, October 3 2001 07:00 |
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Agent
Member # 2820
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written Monday, September 15 2003 19:01
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I think it has to do with exponents and switiching digits around but I'm too lazy to think it all out. -------------------- How do signature's work? -Keep Posts: 1415 | Registered: Thursday, March 27 2003 08:00 |
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Shaper
Member # 32
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written Monday, September 15 2003 19:48
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I have my doubts that there is a pattern. The numbers were given through a series of calculations with pi. -------------------- Lt. Sullust Cogito Ergo Sum Polaris Posts: 2462 | Registered: Wednesday, October 3 2001 07:00 |
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Master Jeweller
Member # 409
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written Tuesday, September 16 2003 01:20
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1 11 21 1211 111221 312211 13112221 1113213211 31131211131221 etc And Khoth is roughly correct on the previous one; I believe the exact point is that you can't derive the thing I wrote since it's not a continuous function. (it looks even better with sigma-notation but I can't seem to do that on the msg board) -------------------- Freude, schöner Götterfunken, Tochter aus Elysium, Wir betreten feuertrunken, Himmlische, dein Heilighthum! Deine Zauber binden wieder, was die Mode streng getheilt, Alle Menschen werden Brüder, wo dein sanfter Flügel weilt. Pieter Simoons aka Radiant Official Crystal Shard and SubTerra webpage Posts: 798 | Registered: Monday, December 17 2001 08:00 |
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Triad Mage
Member # 7
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written Tuesday, September 16 2003 01:28
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13211311123113112211 Hooray. -------------------- "At times discretion should be thrown aside, and with the foolish we should play the fool." - Menander ==== Drakefyre's Demesne - Vahnatai Did Do It desperance.net - We're Everywhere The Arena - God Will Sort The Dead ==== You can take my Mac when you pry my cold, dead fingers off the mouse! Posts: 9436 | Registered: Wednesday, September 19 2001 07:00 |
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Master Jeweller
Member # 409
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written Tuesday, September 16 2003 03:51
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Well done Drakey! (now did you figure that out or did you know it from somewhere else) -------------------- Freude, schöner Götterfunken, Tochter aus Elysium, Wir betreten feuertrunken, Himmlische, dein Heilighthum! Deine Zauber binden wieder, was die Mode streng getheilt, Alle Menschen werden Brüder, wo dein sanfter Flügel weilt. Pieter Simoons aka Radiant Official Crystal Shard and SubTerra webpage Posts: 798 | Registered: Monday, December 17 2001 08:00 |
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Shaper
Member # 517
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written Tuesday, September 16 2003 07:44
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Sullust, it has been proven (don't ask me how, because I didn't understand the proof) that any non-infinite series of real numbers has a corresponding rule which generates the sequence. -E- -------------------- Let them eat cake! Polaris Boards: The System is Up. Perennially. Posts: 2314 | Registered: Tuesday, January 15 2002 08:00 |
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Shaper
Member # 32
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written Tuesday, September 16 2003 09:41
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Yes, I know how the sequence is generated. However, that does not give me a pattern so that I can create more easily. At the current rate I have to do quite a few derivatives to get another number. They aren't nice derivatives either. -------------------- Lt. Sullust Cogito Ergo Sum Polaris Posts: 2462 | Registered: Wednesday, October 3 2001 07:00 |
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Post Navel Trauma ^_^
Member # 67
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written Tuesday, September 16 2003 09:53
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code: | |\ | \ x| \ 1 | \ | \ v | \ ----> ---------- y[/code]A ladder of length 1 is leaning against a wall, starting straight up. You pull the bottom edge away from the wall with speed v. Then y = vt. x = sqrt(l - y^2) (Pythagoras) x = sqrt(1 - (v^2)(t^2)) dx/dt = -2(v^2)t/sqrt(1 - (v^2)(t^2)) dx/dt = -2(v^2)t/sqrt(1 - y^2) dx/dt = -2(v^2)t/x As x--->0, dx/dt---->infinity, so the top of the ladder is moving infinitely fast when it hits the ground. Posts: 1798 | Registered: Thursday, October 4 2001 07:00 |
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Infiltrator
Member # 3040
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written Tuesday, September 16 2003 12:39
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Yes that makes sense. While we're on the topic of infinity, as x approaches infinity, what is the value of sqrt(x^2 + x) - x ? -------------------- who? Posts: 508 | Registered: Thursday, May 29 2003 07:00 |
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Law Bringer
Member # 2984
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written Tuesday, September 16 2003 12:58
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.5 [ Tuesday, September 16, 2003 13:35: Message edited by: Arancaytar ] -------------------- "And all should cry, Beware, Beware! His Flashing eyes, his Floating hair!" S. T. Coleridge --- "It is as if everyone had lost their sense Consigned themselves to downfall and decadence And a wisp it is they have chosen as their beacon." Reinhard Mey. --- Quote of the Week: "I have a high opinion of myself, which makes up for my total lack of intelligence." Anon. Posts: 8752 | Registered: Wednesday, May 14 2003 07:00 |
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Master Jeweller
Member # 409
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written Wednesday, September 17 2003 05:50
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Omlette -> Yes, if you count the trivial solution of " the n-th element in the ordered set { 1, 2, 5, 8, 12, 9, 2 ... } " The trick is usually to find a specific solution. Which can lead to such boring puzzles as 3, 3, 5, 4, 4, 3, 5, ... (along the same lines of 'there are three words in english that end in -gry') Khoth -> You have an interesting way of selecting X and Y coordinates. Anyway you seem to be correct but only if your ladder is of zero thickness. -------------------- Freude, schöner Götterfunken, Tochter aus Elysium, Wir betreten feuertrunken, Himmlische, dein Heilighthum! Deine Zauber binden wieder, was die Mode streng getheilt, Alle Menschen werden Brüder, wo dein sanfter Flügel weilt. Pieter Simoons aka Radiant Official Crystal Shard and SubTerra webpage Posts: 798 | Registered: Monday, December 17 2001 08:00 |
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Shaper
Member # 32
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written Wednesday, September 17 2003 08:57
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quote:I had a math problem with just those lines and the problem was called Say the Sequence I worked most of it out with numbers and then someone pointed out that you could do it much easier with words. -------------------- Lt. Sullust Cogito Ergo Sum Polaris Posts: 2462 | Registered: Wednesday, October 3 2001 07:00 |
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Infiltrator
Member # 3040
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written Wednesday, September 17 2003 11:31
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What about the sequence: 3, 7, 15, 1, 292, 1, 1, 1, 2, 1, etc. Can anyone figure it out? -------------------- who? Posts: 508 | Registered: Thursday, May 29 2003 07:00 |
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Shaper
Member # 517
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written Wednesday, September 17 2003 11:39
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Could you then explain for someone who is being extremely dense and/or braindead exactly what the rule behind it is? -E- -------------------- Let them eat cake! Polaris Boards: The System is Up. Perennially. Posts: 2314 | Registered: Tuesday, January 15 2002 08:00 |
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Shaper
Member # 32
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written Wednesday, September 17 2003 12:30
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1 There is One One Thus: 11 There are Two Ones Thus: 21 There is One Two and One One Thus: 1211 I think you can handle it from there. -------------------- Lt. Sullust Cogito Ergo Sum Polaris Posts: 2462 | Registered: Wednesday, October 3 2001 07:00 |
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Lifecrafter
Member # 87
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written Wednesday, September 17 2003 12:49
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not really mathematics, but the musings of an insane toaster: you can only travel faster than light going into the past, and if you travel into the past, you can only go faster than light. if you travel faster than light into the future, you can at least observe events from the future, thereby changing them. same with going into the past. -------------------- Tip of the Day: #13 Stand clear the closing door. That's treason. (THNIK)(Peculiar James, FP productions co, inc) Posts: 816 | Registered: Friday, October 5 2001 07:00 |
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Post Navel Trauma ^_^
Member # 67
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written Thursday, September 18 2003 08:29
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My ladder thing is not correct - just try it. (If you don't like zero-thickness ladders, just take it that I have used the bottom edge of the ladder. -------------------- Grammar wenches beware: This is the house that the malt that the rat that the cat that the dog that the cow that the maiden that the man that the priest that the cock that the farmer kept waked married kissed milked tossed worried killed ate lay in. My Website desperance.net - Leave your sanity at the door Posts: 1798 | Registered: Thursday, October 4 2001 07:00 |
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Lifecrafter
Member # 87
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written Monday, September 22 2003 07:29
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ok, another series: 1,2,6,24,120,720, (it may continue, I haven't checked) (and it is not the series of factorials of consecutive whole numbers) -------------------- Tip of the Day: #13 Stand clear the closing door. That's treason. (THNIK)(Peculiar James, FP productions co, inc) Posts: 816 | Registered: Friday, October 5 2001 07:00 |
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Shaper
Member # 517
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written Monday, September 22 2003 07:59
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uh... f(1)=1 f(n+1)=f(n).(n+1) generates your sequence. I don't know if it's what you're looking for, though. -E- -------------------- Let them eat cake! Polaris Boards: The System is Up. Perennially. Posts: 2314 | Registered: Tuesday, January 15 2002 08:00 |
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Post Navel Trauma ^_^
Member # 67
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written Monday, September 22 2003 09:47
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That's the factorial one he said it wasn't, Omlette. My guess is 4.5 The sequence is f(x) = {1 if x=1, 2 if x=2, 6 if x=3, 24 if x=4, 120 if x=5, 720 if x=6, 4.5 if x>6} -------------------- Grammar wenches beware: This is the house that the malt that the rat that the cat that the dog that the cow that the maiden that the man that the priest that the cock that the farmer kept waked married kissed milked tossed worried killed ate lay in. My Website desperance.net - Leave your sanity at the door Posts: 1798 | Registered: Thursday, October 4 2001 07:00 |
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Lifecrafter
Member # 87
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written Monday, September 22 2003 11:20
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um, no, I don't think so. (i have posted this series before) heres another hinty hint; 1^1 2^1 3^1 4^1 1^2 2^2 3^2 4^2 -------------------- Tip of the Day: #13 Stand clear the closing door. That's treason. (THNIK)(Peculiar James, FP productions co, inc) Posts: 816 | Registered: Friday, October 5 2001 07:00 |