Pratchettian Mathematics
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Master Jeweller
Member # 409
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written Tuesday, September 23 2003 05:42
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I read a set of similar questions once, where the given sequence was along the lines of 1, 2, 3, 4, 5 and the next number was not 6 for whatever reason. Some of them were quite ingenious. But of course Khoth's answer would work as well. I'm in favor of 42. -------------------- 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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Law Bringer
Member # 2984
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written Tuesday, September 23 2003 06:37
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How about this one. 1 2 3 5 8 4 3 7 1? It's cyclical by the way. -------------------- "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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Triad Mage
Member # 7
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written Tuesday, September 23 2003 09:58
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The next is 8 ... -------------------- "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 Wednesday, September 24 2003 00:11
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As most of you probably know, the equation X^2 + Y^2 = R represents a circle. Can you think of a variation of this formula that represents a square? -------------------- 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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Law Bringer
Member # 2984
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written Wednesday, September 24 2003 00:53
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It's x²+y² = r². If you write r you have to write a sqare root over the other side. As far as I can see, it doesn't represent a circle, but the distance from the origin to the point (X,Y). Of course, this distance can mean the radius of a circle with the origin as center and (x,y) on the perimeter. But you can use this formula also to calculate the diagonal of a rectangle with corners on the origin and (x,y). So it isn't limited to circles. [ Wednesday, September 24, 2003 00:53: 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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Post Navel Trauma ^_^
Member # 67
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written Wednesday, September 24 2003 10:55
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lim{n-->inf}(x^n + y^n = z^n) does a square, I think. -------------------- 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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Master Jeweller
Member # 409
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written Thursday, September 25 2003 04:06
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Khoth -> exactly. -------------------- 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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Lifecrafter
Member # 87
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written Saturday, September 27 2003 11:24
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arancayter: I do not have my notes with me, but it looks like the series of the second to last place of the decimals of 3/4, 7/8,15/16,31/32. if it isn't, that is still a pretty cool series. lessee, .5 .75 .875 .9375 .96875 .984375 .9921875 .99609375 .998046875 ok, so it is not. the serieses are 5; 7; 3,8;6,4,1,9; and so on. and no, radiant, it is not a list like that. )This post brought to you by anal-retentive mathematics. -------------------- 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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Shock Trooper
Member # 3073
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written Saturday, September 27 2003 19:24
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Khoth: "x^n+y^n=z^n" has no solutions in integers for "n" being equal to or greater than 3. _files/biggrin.gif) GET IT?!? -------------------- "It's cool to be a robot." Scud "Half human, half robot, all Sicilian." Tony Tastey "|||| ||| |||| ||| ||| |||||?!? Drywall "I'm calm.....GET THE HELL AWAY FROM ME." Don Vito Posts: 383 | Registered: Friday, June 6 2003 07:00 |
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Warrior
Member # 3480
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written Saturday, September 27 2003 23:58
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wtf are you guys talking about? -------------------- "'We wish the return of Linda.' they said. 'Oh, swell. She only summoned a demon lord into the tower once, she's only mildly insane, what a beautiful idea! Let's proceed at once!' I said' "'We appreciate your acquiesence,' they said. And that was that. Sarcasm is lost on that lot." He kicks a wall in irritation. ----------------------------------- What you've just said is one of the most insanely idiotic things I have ever heard. At no point in your rambling, incoherent response were you even close to anything that could be considered a rational thought. Everyone in this room is now dumber for having listened to it. Posts: 169 | Registered: Wednesday, September 24 2003 07:00 |
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Triad Mage
Member # 7
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written Sunday, September 28 2003 00:29
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Math. Is that a novel concept? -------------------- "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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...b10010b...
Member # 869
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written Sunday, September 28 2003 02:08
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quote:Who said anything about integers? The idea is that you set z to be some constant whose value depends on the size of the circle (or, in this case, square) you want. Posts: 9973 | Registered: Saturday, March 30 2002 08:00 |
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Shaper
Member # 32
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written Sunday, September 28 2003 05:22
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Actually there are a few points which will always be on that line. (0,z)(z,0). Depending on which number n is, those z's could be plus or minus as well. -------------------- 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 Sunday, September 28 2003 05:37
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The series is actually made by adding the last two elements, but taking only the cross sum of the result to keep it to one digit. So, 2+3=5 3+5=8 5+8=13, 1+3=4 8+4=12, 1+2=3 4+3=7 3+7=1 7+1=8 1+8=9 8+9=17, 1+7=8 and so on. -------------------- "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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Shaper
Member # 32
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written Sunday, September 28 2003 05:43
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Fibonacci may not appreciate you toying with his number system _files/tongue.gif) -------------------- 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 Sunday, September 28 2003 05:51
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He's dead though, so what can he do about it? The cross sum is just in order to keep it cyclical of course. Btw, if you start such a sequence with any two digits from 1,1 to 9,8, you only get four different sequences (the fifth would contain only 9,9,9,9 etc.). All of those sequences, with one exception, turn back on themselves after an equal number of elements. The exception is 3,6,9,6,6,3,6,9, etc. I haven't yet figured out why that is so... _files/confused.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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Lifecrafter
Member # 87
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written Monday, September 29 2003 08:58
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edit: elfy (heh heh) it is because all numbers are special in their own special way. especialy the numbers 0,1,pi,e, and i. and two. people from time to time mention new math, supposedly invented by a prisoner. I've always thought that they were just being ignorant. does anyone know anything about this? )this post brought to you by the sigma function- results of a lazy tutor and a very smart student. and the number at the far end of pi. [ Monday, September 29, 2003 09:04: Message edited by: @$$ ] -------------------- 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 |