150|09/25/2001|08:36:14|ArthurvanHoudt|Question About the Breathing Square of Misha Pavel|In the applet on this site one can change between a square and an triangle. But imho the triangle is positioned different than the squares. The middle||4||2 149|09/16/2001|22:48:19|Michel Colman (Guest)|13 Coins|In the twelve-coin problem where one coin has a different weight%2C you state the following%3A%0D%0A%0D%0AYou cannot fail to notice that this method s||6||0 148|09/16/2001|13:36:38|dana (Guest)|5%2B5%2B5%3D550|Add a single straight line to make this equation correct. The equal %28%3D%29 sign cannot be touched.||34||1 147|09/03/2001|23:14:48|Barnes (Guest)|Odds at the race track|I picked three horses in a trifecta at the track the other day %28Nos. 8%2C 2 and 7%29. My wife picked three horses %28Nos. 8%2C 2 and 3%29. There wer||30||0 144|09/02/2001|22:39:53|Russ (Guest)|clock puzzle|Hiya%2C %0D%0A%0D%0ARan into this puzzle recently and it%27s a stumper for me. Thought I%27d see if anyone here had any luck with it.%0D%0A%0D%0ARuss%||37||1 146|08/31/2001|12:39:06|Tina (Guest)|conversion table|I need to know the conversion between feet and inches to cm and meters and then to convert to SI. %0D%0AIf I were 5 foot 3 inches tall how tall would ||27||0 145|08/30/2001|23:16:59|bdesany|Tower of Hanoi Recursion Inequalities|Hi%2C%0D%0A%0D%0AI am confused about the 2 inequalities that lead to the Tower of Hanoi recursion formula%3A T%5Bsub%5Dn%5B%2Fsub%5D %3D 2T%5Bsub%5Dn||34||1 143|08/24/2001|10:56:06|pmbrown|Pythagorean Theorem Proof %239%3A any history or educational materials%3F|I am very enthusiastic about this proof%2C which could readily be used in the third or fourth grade. I expect to use it at that level. The proof is ||45||2 137|08/22/2001|15:47:08|Manoj Nair (Guest)|Exchanging information between n persons|Hi%3A%0D%0A%0D%0ACame accross an interesting problem. Dont know%0D%0Aif this is the right folder. Apologise if it isnt.%0D%0AThere are N people each o||154||14 142|08/20/2001|23:20:19|Juan Manuel Tamayo (Guest)|Length of a function|Let%27s imagine the graphic of the sine function%2C and we take an interval from %5Ba%2Cb%5D. if we take a string%2C or a metric tape%2C and measure ||37||1 141|08/18/2001|09:18:00|Tony (Guest)|Torus cutted up with plane|Dear Sirs%2C%0D%0A%0D%0AI have heard something about a puzzle in a M. Gardner%27s book.%0D%0AIt should exist a solid that when it%27s cutted ub by a p||39||0 140|08/14/2001|12:43:19|mhbrill|Morley%27s Trisector proofs use more than angles-why%3F|After reading the various proofs of the Morley Trisector Theorem on this site%2C there still seems to be a miracle. The Morley Trisector Theorem is t||40||1 123|08/10/2001|11:14:53|jawahar|Prove equilateral triangle...|It might be difficult to say this in words but I need to know iff anyone can prove the following%3A%0D%0A%0D%0ADraw a scalene triangle%28all sides une||92||3 139|08/07/2001|10:23:12|José Alberto (Guest)|Mastermind - Maximum number of trials|Hi all%0D%0A%0D%0AThanks in advance for answering my question.%0D%0A%0D%0AI%27m programming a MasterMind game and I%27m stuck on how to assign the max||45||1 138|08/04/2001|11:04:15|Frederick|LaPorte| What is first name of LaPorte as in %22LaPorte formula%22%0D%0AThis takes the form f%28a%29 %3D sin%28h%2Asina%29.%0D%0A%0D%0Aa %3D angle of take of||36||0 129|07/31/2001|23:22:44|zander|playing with permutations...|First let me say that this is a neat site%2C I wish we would have had access like this when I was in school. We still did pretty good though...%0D%0A||67||2 136|07/31/2001|07:38:23|khaled moustafa kamel (Guest)|finding a mathematical equation between sine and inverse sin|coming across a problem in microsoft excel%2C i was un able to find a function that gave the inverse of sin%2C o i decided to acquire a method to find||39||1 135|07/21/2001|22:41:37|imdonny|ONE FOUR %3A 14 %3D |In the article ONE FOUR%2C the entry for 14 is empty. I suggest an entry%3A 14 %3D %5Bln%21%7B10%7D%5D.%0D%0A%0D%0ADon||51||0 134|07/20/2001|21:47:14|JJe (Guest)|distributive law|Hi%21%0D%0A%0D%0AI was reading this page on this site%3A %5Bhttp%3A%2F%2Fwww.cut-the-knot.com%2Fdo_you_know%2Fmul_num.html%5D. At the bottom%2C there ||59||1 133|07/20/2001|08:21:14|Klaus|phi %26 %3F2 rational%3F|Dear Alex%2C%0D%0AYou write that a number r is rational if it can be written a fraction r %3D p%2Fq where both p and q are integers.%0D%0ADoes that me||105||6 83|07/19/2001|12:01:39|Bart Verhaeghe (Guest)|Question about a 15%2F16 sliding puzzle|Dear Sir%2C%0D%0A %0D%0A %0D%0AI wonder if it is possible to solve a 15 sliding puzzle from a given starting position to the finishing position in a m||170|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,10,9,1,3,2,4,6,7,8,9,10,5,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,3,1,2,4,7,5,6,8,9,10|2 132|07/09/2001|08:45:28|Tonio (Guest)|Group Theory|Is there an infinite non-abelian group with all its proper subgroups abelian%3F%3F%0D%0AThanx%0D%0ATonio||55||0 131|07/08/2001|08:18:05|activeco|Three Dices %22Paradox%22|%0D%0AThree dices are thrown simultaneously.%0D%0AYou can bet %241 on a single number%2C 1 to 6.%0D%0AThe odds are rightly 1%2F2 so you get %241 for e||56||0 130|07/08/2001|08:18:05|activeco|Bertrand%27s Paradox|%0D%0AI don%27t think there is paradox at all.%0D%0AThose who support first solution %281%2F3%29 should be aware that%0D%0Asuch events happen only 2%2||55||0 128|07/05/2001|20:03:44|Brendan (Guest)|Variations Of A Group of Numbers|I wonder how to calculate the number of possible arrangements in a group of numbers.%0D%0A%0D%0AAn Example%2C usiung the numbers 1 and 0 only%2C how m||60||1 127|07/03/2001|14:34:33|Michael Short (Guest)|Which statistical tool should I use%3F|I have a problem in which I have six sets of results obtained in sequence from the same chemical test procedure over a period of four months. I know ||60||1 126|07/03/2001|13:48:33|ofer (Guest)|Symmetries in a triangle |I didn%27t anderstood the proof%0D%0Afor Symmetries in a triangle %0D%0Ain the proof section in Charming proofs%0D%0Ain this site.%0D%0APlease if you ||58||1 119|06/29/2001|08:34:18|JohnMann|Puzzle%3A%22Then%2C I know your sum%22%2C%22Then%2C I know your product%22|I have been trying to solve the following puzzle%3A%0D%0A%0D%0ATake two integers n and m%2C selected from the range of integers 2 thru 100. Give the S||129|1,10,3,5,4,6,7,2,8,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|4 125|06/27/2001|12:54:32|Danny kattan (Guest)|Trading card probabilities|I am trying to find mathematical models that can help me simulate how many packets of trading cards does a person need to complete a collection. in t||68||0 124|06/25/2001|09:32:37|literaryguy (Guest)|what is a number%3F|Is zero a number%3F Is it an even number%3F How is %22even number%22 defined%3F%0D%0A||77||1 99|06/20/2001|01:03:50|conrad schlundt (Guest)|THE MANDELBROT MONK|Hi%2C%0D%0A%0D%0AIf you haven%27t seen this%2C you should. It suggests that a 13th century monk discovered the Mandelbrot set.%0D%0A%0D%0A%5Ba href%3D||157|1,2,4,3,6,5,8,7,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,3,1,2,10,4,8,9,6,7,5,10,3,8,9,6,5,4,7,1,2|2 16|06/18/2001|07:18:35|Don Stockbauer|Cantor%27s diagonal method|I know there has to be some simple error in the following %22proof%22 that the cardinality of the integers and reals is the same%2C but I cannot easil||388|6,4,3,8,2,1,10,7,5,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,7,3,1,8,4,2,6,9,10,5,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,4,7,10,6,8,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,2,1,10,6,5,7,4,3,8,9,3,9,8,7,6,4,5,10,2,1|6 122|06/08/2001|09:02:09|p_22_iglet (Guest)|Tower of Hanoi|Is there a version of your Tower of Hanoi that I can download and use without being connected to the site%3F||74|1,2,3,4,5,6,7,8,9,10,2,1,3,5,4,6,7,8,9,10,10,1,2,3,4,5,6,7,8,9,10,2,1,8,9,7,6,5,4|1 121|05/31/2001|09:42:29|Darrell Boomgaarden (Guest)|Index Math when Base or Actual is Negative|We use indexes as a way to simply state how some key business variable %28e.g.%2C profit%29 is comparing to a standard or budget. For example%2C if a||83|1,10,2,3,6,7,8,9,5,4,1,2,3,4,5,6,7,8,9,10,2,1,3,4,5,6,7,8,9,10,1,10,2,3,4,6,8,5,7,9,1,7,4,3|1 120|05/28/2001|08:17:25|Fisch (Guest)|moebius strip|hello%0D%0Acan anybody please help me%3F%0D%0Ai%27m deeply interested in the special property of moebius strip-one-sidedness%0D%0Aso%2C i%27m planning||84|1,10,2,3,4,6,5,7,8,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,4,10,3,2,5,8,9,7,6,1,10,2,4,6,9,7,8|1 118|05/21/2001|17:22:06|Veronika (Guest)|cut an equilateral triangle into two with half the size|hi.%0D%0Adoes anyone know how i can cut an equilateral triangle into two equilateral triangles of the same area%3F%0D%0Ai%B4ve tried many ways%2C but ||90|1,10,5,2,4,6,7,8,9,3,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,2,1,10,3,4,7,6,5,8,9,1,7,5,4,9,8|1 117|05/18/2001|07:04:46|Patrick (Guest)|Infinite series|What is wrong with this%3F%3F%3F Surely something must be%3F%3F%0D%0AConsider%3A%0D%0A1%2F2 %2B 1%2F3 %2B 1%2F4 %2B ..... %3E 1%2F2 %2B 1%2F2 %2B 1%2F||100|1,10,4,3,5,6,7,2,8,9,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,2,10,1,3,6,7,5,4,9,8,5,10,7,9|1 116|05/15/2001|14:23:52|Dan Saltzman (Guest)|weight conversion|This might be an easy one for most of you%2C but not me...thats why im here. I would like to know how to convert grams per square meter%2C to oz. per||95|10,1,2,5,4,3,6,7,8,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,2,3,4,5,6,8,9,7,7,8,9|1 115|05/03/2001|13:04:45|mp (Guest)|binomial dist. derivation|can anyone show me a derivation of the binomial distribution%3F%0D%0A%0D%0AB%28x%29%3D n%21%2F%5B%28n-x%29%21 x%21%5D %2A p%5Ex %2A %281-p%29%5E%28n-x||96|1,10,3,2,4,8,6,7,9,5,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,3,2,10,1,6,4,8,7,5,9,3,4,7,9,10,2|0 114|04/28/2001|06:47:53|DavidT442|Adding time on a calculator|Once upon a time%2C a long time ago%2C my dad showed me an easy way to add several times %28ie... 3 minutes 42 seconds plus 4 minutes 38 seconds%29 us||105|2,1,10,3,5,6,4,7,9,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,4,2,5,6,3,8,7,9,1,6,2,8,10,5,3,9,4,7|0 113|04/21/2001|08:45:06|Jason Lackner (Guest)|Fractals|from the very basic to the top if i wanted to learn how to do Fractals what steps should i take. eg.. Algebra%2C Geometry%2C Calculus i just want to k||104|2,4,7,6,5,1,3,8,10,9,10,2,3,4,5,6,1,7,9,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,7,5,9,8,10,10,1,3,2,5,8,7,4,6,9,1,3,2,10,9,8,6,5,7,4|1 112|04/19/2001|21:23:52|Stephen Thorne (Guest)|%22Reducing%22 large numbers|Hope you can help me solving a peculiar problem or at least giving me a hint about how it could be solved.%0D%0AI%27d like to know if it does exist a ||111|1,10,2,3,6,7,9,8,5,4,1,2,3,4,5,6,7,8,9,10,1,4,2,3,5,6,7,8,9,10,1,10,4,3,2,5,6,8,7,9,1,3,2,5,8,10,4,9,6,7|1 111|04/19/2001|12:10:06|garethgibson (Guest)|peg solitaire strategy and variations|I have a simple question about peg solitaire. Is there any way of knowing if a game board variation is solvable%3F I have created a couple of peg so||102|1,10,3,4,6,2,7,8,9,5,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,10,1,2,7,6,4,5,3,8,9,1,2,3,5,8,10,4,9,6,7|1 106|04/01/2001|19:21:23|Muthukumar (Guest)|Tests of divisibility|I came across this question in book called %22Mathematical Challenge%22 by A.Gardiner%3A%0D%0A%0D%0AWe can say if a number is divisible by 2 by lookin||140|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,2,3,7,6,4,8,9,5,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,2,4,3,6,5,7,9,8,3,6,8,5,4,2|2 103|04/01/2001|14:26:52|breezy|a very simple question|If anyone could settle this difference of opinion between my husband and I%2C it would be appreciated.%0D%0AWhat percentage is %2410%2C000 of %24185%2||139|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,10,7,4,5,9,8,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,10,4,5,6,2,7,3,9,8,2,1,4,5,7,9,10,3,6,8|2 104|04/01/2001|00:12:11|stancioff|Responding to x%5Ex%5Ex%3D3|I can%27t seem to figure out how to respond directly to a topic in the arithmetic%2Falgebra column%2C so I%27ll say it here. I remeber being given th||181|1,3,4,2,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,4,3,10,2,6,8,5,9,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,9,5,3,10,7,8,6|6 102|03/30/2001|20:37:29|peachlandlab|Mount Everest Math Puzzles |Here is a new web site with progressively more complex word problems for Middle School %28and up%29 Students. http%3A%2F%2Fmteverest.homestead.com ||108|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,4,6,5,8,9,7,2,3,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,6,2,5,7,8,3,9,4,10|0 101|03/27/2001|15:18:18|guy (Guest)|prime number%3F|how can this be proved%3F%3A%0D%0A%28%285%5E125%29-1%29%2F%28%285%5E25%29-1%29 is not a prime number.||198|10,10,1,2,3,5,4,6,7,8,9,10,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,10,1,2,3,4,5,6,7,9,8,10,10,1,3,4,7,2,8,9,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,2,1,3,10,9,7,6,8,4,5|3 100|03/23/2001|13:47:25|Joe Banafato (Guest)|Where can I find a proof%3F|Hello everyone%2C%0D%0A%0D%0AI am wondering if anyone knows where I can find a proof for the statement %22any non-negative integer can be identified a||133|1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,4,5,3,7,8,2,9,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,9,8,7,10,2,3,4,9,10,8,5,6,1|1 84|03/16/2001|15:16:38|JAIMENJONATHAN (Guest)|Answer to %22Inside a spherical mirror%22|If i seem illogical%2C forgive me. I%27m only 10%2C and I%27m still in 5th grade. %0D%0A%0D%0AAnyway I think%2C assuming that the mirror is ONLY the i||321|1,2,3,4,5,7,8,6,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,6,4,7,8,9,10,10,1,2,3,4,5,6,8,9,10,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,3,1,2,4,5,6,7,8,9,10|7 97|03/13/2001|15:49:53|Blake Parkins (Guest)|RE%3A Never Ending Spiral|Hi%2C%0D%0A%0D%0AI know little about math so please excuse the ambiguity of this post. I%27m looking for the name and information of the phenomenon t||168|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10|3 86|03/03/2001|19:33:18|Ian|reflection in a curve%3F|hi%2C all%2C%0D%0A%0D%0Aim a 6th form further maths a-level student%2C and we%27ve done loads about reflecting a line%2C %28point%2C shape etc.%29 in ||370|10,1,2,3,4,5,6,7,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,7,6,9,8,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,6,5,7,8,9,10|6 96|02/20/2001|12:16:09|berenguer (Guest)|Distance between strings|You want to find similar words to one you may be thinking of against a dictionary in your computer. How to do so%3F%0D%0A%0D%0A1- Get only those words||137|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,7,8,5,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,8,7,9,10,6,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|0 95|02/20/2001|01:19:11|LJackson|Mathemeticians with Math Anxiety%3F|I%27m looking for anecdotes about mathemeticians who somehow overcame fear of math and went on to succeed at it. I%27d love to hear your story for us||137|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,7,6,8,9,10,1,2,6,4,5,3,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,4,3,5,7,8,6,9,10|0 94|02/15/2001|13:55:03|TPS (Guest)|Sam lloyd%27s wheel puzzle|I remember this great puzzle from a Martin Gardner book%2C I think. It%27s composed of two concentric wheels with a partial scene on each of them. R||157|2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,5,6,3,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10|1 93|02/15/2001|08:55:48|steve (Guest)|meaning of x-fold%2C where x is any number|I am looking for a good explanation of whether or not a fourfold increase in something means the same as a 400 percent increase or a 4 times increase ||151|1,2,3,4,6,5,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,7,6,8,9,10,1,2,4,3,5,8,7,9,10,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 92|02/12/2001|18:36:32|tari (Guest)|pythagoras|Hello%2C I have been in search of some info on pythagoras. I need info like history on the man himself as well as a possible picture. Anything that co||149|1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,1,2,3,7,4,5,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,3,4,5,6,7,8,9,10|1 91|02/12/2001|16:21:47|Kerem Aycibin (Guest)|Trick for Adding%2Fsubtracting fractions|Hi%2C%0D%0AI was just wondering if anyone knows a trick on how to add and subtract fractions%28most preferably fractions with 2%2C 4%2C 8%2C 16 in the||151|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 90|02/09/2001|11:53:53|twokurka|Interest Rates Formula|I am looking for a formula to complete a computer program to determine the following%3A%0D%0A%0D%0AThe program relates to interest rate calculations. ||187|1,4,6,8,9,1,2,3,4,5,7,6,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,4,6,7,9,10,1,2,3,5,4,6,7,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,3,6,4,5,7,8,9,10|3 89|02/07/2001|16:21:25|Christian Snoad (Guest)|Isoperimetric shapes|Dear sir%2C%0D%0A I am investigating into isoperimetric shapes and got stuck at proving that an isosceles triangal has a larger area with a given p||159|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,5,4,7,6,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,6,7,4,8,10,9|1 88|02/06/2001|20:12:43|erin726|please help with number guessing game|I am a public speaking student at the University of Florida and would like to demonstrate the number guessing game to the class. However I don%27t und||162|1,3,2,4,7,6,5,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,7,6,9,8,10,1,2,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10|1 87|02/05/2001|09:00:49|adsum|Error Correction|I can not remember.%0D%0A%0D%0AThe names of the 3 mathematicians who proposed the method of correcting any one bit error%2C in a 16 bit word%2C by u||155|1,3,2,4,5,9,8,10,7,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 82|01/30/2001|15:07:39|kathleen tyson (Guest)|I am looking for a list of permutations|I%27m looking for a program to generate permutations for 13 %28or more objects%29%2C I found your site. Unfortunately%2C your site is%0D%0Arestricted||149|1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,1,2,4,3,5,6,8,9,7,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,9,10,8|1 85|01/30/2001|14:59:53|Peter M. Gerken (Guest)|Sierpinski Triangle|Hi..%0D%0A%0D%0AJust visited your site ...%0D%0A%5Ba href%3D%22%2Fctk%2FSierpinski.html%22%5Dhttp%3A%2F%2Fwww.cut-the-knot.com%2Fctk%2FSierpinski.html||153|2,3,1,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,3,1,2,4,5,6,7,8,9,10|1 81|01/26/2001|23:19:33|NAUTEL (Guest)|12 coins puzzle|I just came across your forum and the weighting of 12 coins. I was wondering if I can present you with a posible solution %3F.%0D%0A%0D%0Alets divide ||150|1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,9,7,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,7,6,8,9,10,1,2,3,5,6,4,8,7,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 80|01/17/2001|10:39:54|Sandra Parsons (Guest)|Rounding Rules|How do you round a negative number%2C eg does -2.4 round up to -3.0 or -2.0 or is it just a round on the number not the sign%3F Is there a rule for th||156|1,2,3,4,5,6,10,9,7,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10|1 79|01/15/2001|23:46:07|Vujicic Bozur (Guest)|Bertrand%27s paradox|Dear Dr. Bogomolny%2C I have questions too.Where can I find your work about that paradox and your opinion about Ehren%27s message %3FThank You in adva||176|3,5,1,6,7,4,10,9,8,2,1,2,3,4,5,7,8,6,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,8,5,9,6,10,1,2,3,4,6,5,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 77|01/15/2001|10:57:25|Chris trailblazed@home.com (Guest)|Cutting cake|In your %27cutting cake%27 puzzle you ask%2C %22One needs 6 movements to cut a cube into 27 pieces. Can you get this many pieces with fewer cuts%3F%22||178|2,1,3,4,6,5,7,8,9,10,3,2,10,7,8,9,5,6,1,1,2,4,3,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 69|01/12/2001|13:54:13|allanb (Guest)|origins of binary|Hello%2C%0D%0A%0D%0AI wanted to send you an email and congratulate you on your very informative website. Do you know who invented binary%3F I have be||189|1,2,3,4,5,6,7,8,9,10,8,9,10,6,5,4,7,3,1,2,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10|3 72|01/12/2001|13:53:10|Dmbac (Guest)|fitting people into a room|My question is...I have been posed a challenge on guessing the MAXIMUM number of people that can fit into a room %28disregard things such as egress%2C||266|2,3,4,5,1,6,7,8,10,9,5,2,4,1,3,10,7,8,9,6,2,4,3,6,8,7,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,6,4,7,5,8,9,10|3 73|01/12/2001|13:34:47|Carissa (Guest)|a creative problem|Here%27s the problem I would like a solution to%3A%0D%0A%0D%0AIf you are given IX%2C come up with three ways to make that six by adding only one line.||158|1,2,3,4,6,7,5,8,10,9,6,5,8,7,3,1,2,9,4,10,1,2,4,3,5,6,7,10,9,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,7,6,9,10,8,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10|1 74|01/12/2001|13:32:31|Xinding Sun (Guest)|the nine dots|You can connect them without leaving the rectangle in four straight lines.%0D%0A%0D%0ASuppose the rectangle is%0D%0A%0D%0A A B C%0D%0A D E F%0D%0A ||149|1,3,5,6,7,4,8,10,2,9,1,7,6,10,9,8,3,2,5,4,1,3,2,4,5,6,10,8,9,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,4,5,3,6,7,8,9,10|1 75|01/12/2001|13:30:46|David K. Sargert (Guest)|Paisley %3F|Is there a mathmatical formula for the pattern %22paisley%22 %3F ||150|1,3,2,4,5,6,8,7,9,10,1,4,7,5,8,9,10,2,6,3,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 76|01/12/2001|13:28:08|RAJITH RAVEENDRANATH (Guest)|Lewis Carroll%27s Pillow Problem|Reg. this problem %3A Lewis Carroll%27s Pillow Problem%0D%0A%0D%0AThis problem is cited by M. Gardner in his Mathematical Circus.%0D%0AA bag contains ||158|1,3,4,5,7,8,9,6,10,2,7,5,10,3,9,6,1,8,2,4,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,6,4,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,3,4,5,6,7,8,9,10|1 71|01/12/2001|13:25:37|dejaniire dejaniire (Guest)|Teach me%21|Dear sir%2C%0D%0A%0D%0AI came across your site and found it quite interesting%21 I was wondering if you could help me. I%27m 22%2C live in Greece%2C a||187|1,2,3,4,5,6,7,9,8,10,2,1,3,7,6,8,5,4,10,9,4,3,5,1,6,2,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,6,5,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|3 66|01/08/2001|07:56:59|simpsonn|Allocating Bonus Based On Balance|I have a problem where I want to allocate a bonus to one of four parties in ratio to their existing balance %28which can be positive or negative%29. ||171|1,3,2,4,5,7,6,8,9,10,6,9,5,2,1,8,3,4,7,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,6,5,1,7,3,8,4,2,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,5,3,4,6,7,8,10,9|2 70|01/08/2001|01:11:02|dream and weep (Guest)|Peg Solitaire|I was very interested in the package-purge method of playing peg solitaire%2C but I%27m a bit confused and was hoping you could help me. I have practi||154|1,3,4,5,7,6,8,2,9,10,1,6,10,2,4,5,8,3,9,7,1,3,2,4,6,7,5,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,6,7,8,5,4,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 68|01/05/2001|12:45:33|Deborah Cox (Guest)|birthday odds|Hello%2C%0D%0A%0D%0AI would do like to have your help finding a solution for this little question. %0D%0A%0D%0AI tried to find an answer in many sites||159|1,2,3,4,5,6,7,8,9,10,6,2,10,5,8,9,3,4,7,1,1,2,4,3,5,6,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,4,1,2,3,5,6,7,10,8,9|1 67|01/04/2001|16:03:29|Christina (Guest)|whack%3F|I am an elementary school teacher looking for great sites to use in my classroom. I read your warning. I do not know what %22whack%22 means. Would ||181|2,1,3,4,5,6,7,9,8,10,3,6,7,4,1,8,2,5,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,4,6,7,9,8,10,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 65|01/03/2001|09:50:47|ersin ilhan (Guest)|SOS%3A The Knot Theory|Dear Alex Bogomolny%0D%0A%0D%0AI am a maths teacher and wish to explain the knot theory to my students with the activities for the coming math fair in||156|1,4,5,3,2,7,6,8,10,9,9,10,4,1,8,6,2,7,3,5,4,1,2,3,5,6,9,10,7,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,4,7,6,8,9,10,1,2,3,6,7,8,4,5,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 63|12/30/2000|20:24:54|Jerry Iuliano (Guest)|Cheops pyramid%2Ffine-structure|Sirs%3A %0D%0AThe explanation of the Egyptian mystery concerning the fine-st||155|1,3,2,4,5,6,7,8,9,10,1,7,2,4,10,6,3,8,9,5,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,1,2,3,4,5,7,6,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10|1 64|01/01/2001|19:16:22|Conan K Woods (Guest)|Two rectangles%2C do they intersect%3F|Hi%2C I have a math problem I have to solve for a computer program I am writing. I have two rectangles%2C and I need an algorithm to see if at any po||159|1,2,4,3,5,8,7,9,10,6,7,6,5,3,10,2,9,8,1,4,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,7,8,6,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,6,7,5,8,9,10|1 62|01/01/2001|10:26:44|Boa Ben-David (Guest)|x%5E2 %2B y%5En %3D z%5E%282n%29|Hi Alex%2C%0D%0A%0D%0AI wonder if you happened to know whether the expression%0D%0Ax%5E2 %2B y%5En %3D z%5E%282n%29 was ever addressed. x%2Cy%2Cz inte||363|2,1,6,4,5,3,8,10,9,7,4,2,3,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,7,6,8,9,10,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,2,3,4,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|6 60|12/28/2000|19:37:00|Juan Forero (Guest)|moebius strip|Hello Alexander%2C%0D%0A%0D%0AI saw your page about the moebius strip and I would like to comment you an idea that thumbles in my head about it...%0D%||205|1,2,3,5,4,6,9,8,10,7,1,3,2,5,4,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,6,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10|5 61|12/28/2000|19:18:35|GymNat1 (Guest)|irrational number to an irrational number is rational|i don%27t understand the leap from b%5Eb%5Eb to b%5Eb2. i originally thought it might have something to do with 2%5E%281%2F2%29%3D2%2F%282%5E%281%2F2||177|4,2,1,3,5,6,8,9,7,10,6,8,9,4,5,7,3,1,2,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9|1 59|12/21/2000|00:20:51|Ron Shuler (Guest)|4d hyper-cube%3F|I have this question that I%27ve been getting to me. I%27m only 14 but I heard about this thing called a hyper cube and I was woundering what the hec||157|1,2,3,4,5,6,7,9,8,10,10,6,8,4,5,9,7,2,3,1,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,6,5,7,8,9,10|1 58|12/17/2000|11:51:02|José Luis Romero (Guest)|Self-reference statements|Hi%21 First I want to say I really like your site. I was reading the self-referenced statements %28the ones that claim to have%0D%0Amistakes%29 and I ||180|1,2,4,3,5,7,8,9,10,6,5,4,7,6,9,8,1,10,2,3,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,7,5,8,9,10,1,2,4,3,5,6,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|3 56|12/17/2000|11:31:13|Henry Heck (Guest)|Poisson processes|Thank you for your wonderful mathematical website%21%0D%0A %0D%0AI have encountered a problem in my research to which %28it seems to me%29 there are t||168|2,1,3,4,5,6,7,8,10,9,5,7,4,8,10,3,2,9,6,1,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,7,6,8,9,10,2,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,8,7,9,10|1 57|12/17/2000|11:23:14|Louis Mello (Guest)|A Mathematical Quote|%22Chaos is the origin of the universe%2C mathematics is its language...%22%0D%0A%0D%0A1995%0D%0ALouis Mello%0D%0AMathematician||150|2,3,4,1,5,6,7,9,10,8,1,6,8,3,5,7,2,4,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,8,6,7,9,10|0 55|12/08/2000|18:39:52|Lon C. Thomas, Jr. (Guest)|mega vs. meta|I like your site ... but the term %5Ba href%3D%22%2Fpythagoras%2Fparadox.html%22%5D%22mega-puzzle%22%5B%2Fa%5D%2C I think%2C should be %22meta-puzzle%||167|1,2,4,5,3,6,7,9,8,10,10,9,7,3,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,7,5,8,9,6,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|2 53|12/01/2000|13:40:46|Bonnie Lake (Guest)|Combination square shapes|dear mr.Bogomolny%2C%0D%0A%0D%0Athanks for a terrific site%21 I%27ve got a group of little kids- ages 8 through 17- that I meet with twice a month for||161|1,2,4,3,5,8,7,9,6,10,1,3,5,6,7,9,2,4,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,10,5,7,6,8,9|1 52|12/01/2000|10:05:24|Evan Geno (Guest)|knot theory project|Hi%2C%0D%0A%0D%0AMy name is Evan Geno%2C and I am a Seventh grade student at Patrick Henry School. I am planning to do my science project this year on||156|1,2,1,3,5,4,7,6,9,8,10,10,1,9,4,7,3,6,5,2,8,1,2,3,4,5,6,7,8,9,10,2,1,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,6,8,7,9,10,2,1,4,5,6,7,8,9,3,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 51|11/30/2000|01:54:05|Renee (Guest)|Pythagoras as a sole mate|Hi%2C this may seem straange%2C but I am going to ask anyway. I am a person who meditates and enjoys seeking answers from the subconscious. Anyway%2C ||158|1,2,3,4,5,8,7,9,10,6,8,10,9,1,3,2,6,7,5,4,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,5,3,4,6,7,10,8,9|1 49|11/26/2000|00:40:19|George Nurnberg (Guest)|Horse puzzle|I am interested in mythical horse puzzle %28Jig saw%29 seen in catalog on airplane - America West.||179|2,5,6,1,8,3,4,9,10,7,3,9,5,2,7,6,10,4,1,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,6,7,9,8,10,1,2,3,4,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,8,7,6,9,10|1 50|11/26/2000|00:38:06|Darrel Westbrook (Guest)|chocolate bar puzzle|I am new to mathematics%2C but I was looking at your chocolate bar puzzle%2C the default 4 x 5%2C and I guessed that it would take 7 breaks to reduce ||154|1,3,2,6,5,8,7,9,10,4,1,4,2,3,5,10,9,6,8,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,9,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 48|11/21/2000|09:37:17|calle (Guest)|weight in ounces|Which weighs more an ounce of gold or an ounce of feathers%3F||158|1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,5,4,7,6,9,8,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,5,3,2,4,6,7,8,9,10|1 44|11/20/2000|10:31:53|jessica-linh dang (Guest)|twin brothers%27 problem|What is the answer to the riddle of the %5Ba href%3D%22%2Fimpossible%2Fbrothers.html%23guard%22%5Dtwins who guard%5B%2Fa%5D the two doors%3F this has ||176|1,1,2,3,4,5,6,7,8,9,10,1,2,4,3,6,5,7,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,8,7,10,9,1,2,3,4,6,5,9,8,10,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|2 47|11/17/2000|20:38:13|RDillree (Guest)|3 letter monograms- possible combinations|How many combinations of three letter monograms can you make%3F%0D%0Ai.e. AAA AAB AAC etc.||153|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,6,5,7,8,10,9,2,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10|0 45|11/14/2000|23:19:28|Tim Partridge (Guest)|Pizza consumption|Could you tell me how many slices of pizza are eaten each year in the world.%0D%0A %0D%0AThanks%2C%0D%0ATLC||165|1,2,3,4,5,6,7,8,9,10,1,2,3,4,8,7,6,9,5,10,3,4,8,6,2,1,5,10,7,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,6,4,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,5,2,4,1,6,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 42|11/08/2000|01:53:21|Sergei Furs|arithmetic of fractions|Dear Professor Alexander Bogomolny%21%0D%0A%0D%0AMy name is Sergei Furs%3B I live in Minsk %28Belarus%29. I try to construct an axiomatic deductive th||182|2,4,1,5,9,7,3,1,2,3,4,5,6,8,7,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,7,6,8,9,10,1,2,4,5,6,7,8,10,9,3,1,2,3,4,5,6,7,8,9,10,9,10,6,7,5,1,3,4,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 40|11/06/2000|01:12:25|Georg Menz|Theory of nim|Hello%0D%0A %0D%0AYour theory of nimm is very good.%0D%0A %0D%0ABut I just wonder%3A What happens if the player who takes the last match looses%3F%0D%||212|7,9,8,4,10,3,1,6,5,2,1,2,3,4,5,6,7,8,9,10,1,4,3,2,5,6,7,10,8,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,10,9,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,10,7,1,4,9,8,6,5,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 39|11/03/2000|19:59:34|Jed|Area and Constant Perimeter|I am wondering if my reasoning is valid here%3A%0D%0AGiven a length of string%2C the 2 dimensional figure of the greatest area that one can create is ||229|6,10,5,1,8,4,9,3,2,7,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,8,7,9,10,1,2,3,5,6,4,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 38|11/03/2000|10:01:24|Gregory Keith Van Patten|mathematical games|Alexander Bogomolny%2C%0D%0A%0D%0A%22Cut-the-Knot%22 is quite entertaining%21 I like to invent abstract games%2C and a number of my game ideas are av||191|4,6,7,9,8,10,5,3,2,1,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,4,5,2,7,6,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|0 36|11/03/2000|04:44:39|George Watson|combinations of numbers|I would like to find balanced tennis doubles combinations. We have 2 foursomes that play tennis. I would like to find a schedule for 8 players that pl||166|2,4,7,5,6,10,9,8,3,1,1,2,3,4,5,6,7,9,10,8,1,4,3,2,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,10,8,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,6,9,8,2,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,10|0 34|11/01/2000|11:28:44|Steve|What is meant by %22significant to the 5%25 level.%22%3F|I have been asked to explain what the phrase %22significant to the 5%25 level%22 generally and in relation to experimental methods.%0D%0A||180|1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,8,2,10,1,9,5,6,3,7,4,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,8,7,9,10,2,1,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,8,7,3,5,4,10,6,2,1,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 35|11/01/2000|10:45:12|Tom Ballard|FLT and Pythagorean triplets|Hi Alex%3A%0D%0A%0D%0AI see from yoursite that you are interested in P. triplets.%0D%0A%0D%0AI have recently revised a treatise I had written some tim||186|1,2,3,4,6,5,7,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,7,10,8,9,4,6,2,3,5,1,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,10,9,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,10,9,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,7,5,6,8,9,10|1 32|10/28/2000|12:50:49|B.G. Pedersen|What%27s in a hole%3F|Hi there%2C%0D%0A%0D%0AI%27m currently writing a screenplay for a movie. I%27m not a mathematician. Actually%2C to be quite honest%2C I rather suck at||251|6,8,10,5,4,7,3,1,9,2,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,5,2,7,4,8,3,10,9,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,8,7,9,10,2,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10|1 30|10/25/2000|16:15:26|Tzanev, Stefan|Kozma Prutkov|Dear Alexander%2C%0D%0A%0D%0AI wonder if you can point me some Internet resources with English translation of the Kozma Prutkov works%3F I liked very ||245|2,1,3,9,6,7,5,8,4,10,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,3,2,4,1,9,10,7,8,6,5,1,2,3,4,5,6,7,8,9,10,1,3,4,2,6,5,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,9,8,10,1,2,3,7,6,4,5,9,8,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 29|10/24/2000|14:24:01|Tomas Rolin|Non linear mathematics|I have asked my math teacher an many ohers what non linear mathematics is%2C b ut no-one had ever heard about it so i%27m hopeing I would find an answ||236|1,10,9,5,2,3,7,8,6,4,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,6,7,8,9,3,10,5,2,1,7,4,8,5,6,3,9,10,1,2,3,4,5,6,7,8,9,10,2,1,3,1,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,8,6,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,5,1,10,6,9,8,7,3,4,2,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 28|10/24/2000|01:19:28|Chris|Re%3A English words without vowels|I am stumped naad dont want to be shown up by my kid... She%28age 12%29 says that there are at least 5 words i the English language that have no %22a%||261|4,7,6,1,3,5,2,10,8,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,9,8,10,3,1,6,10,9,4,2,8,5,7,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,6,5,8,7,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,4,1,2,3,4,5,6,7,8,9,10,3,7,8,1,6,10,2,9,5,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 25|10/23/2000|21:33:59|rhodgins|The bus stop problem|A friend was given this brain teaser in a graduate physics class%3A%0D%0A%0D%0AIf a bus comes to your stop every 15 minutes%2C but you don%27t know th||260|4,5,3,1,2,9,8,10,7,6,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,3,8,7,1,6,2,5,4,9,10,1,2,3,4,5,6,7,8,9,10,1,2,5,6,3,4,7,8,9,10,4,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,7,1,5,9,8,10,3,2,4,6,1,2,3,4,5,6,7,8,9,10,2,3,4,5,6,7,8,9,10|1 27|10/23/2000|19:34:09|Pin Tan|Self Reference question.|I was wondering how a person %22ask%22 a machine %22This machine will not say that this sentence is true%22%3F%0D%0A%0D%0AThank You.||225|1,6,9,10,8,5,4,2,3,7,1,3,2,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,6,10,8,9,5,4,7,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10|1 26|10/23/2000|19:25:35|Mims, Matthew|random numbers for a contest|I need your help.%0D%0A%0D%0AI am running a contest for concert tickets as a thank you for our residents. I thought that I would just pull up ten numb||221|1,2,8,9,6,7,1,3,4,2,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,5,3,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,6,5,4,7,8,10,9,1,2,3,4,5,6,7,8,9,10,2,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,4,5,8,6,10,9,2,3,7|1 21|10/23/2000|11:40:59|Jean-Marie Vanroy|Lewis Carroll%27s problem|Hi%21%0D%0A %0D%0AThank you for your very interesting site.%0D%0A %0D%0AIn %22Probability %2F 23. Lewis Carroll%27s problem%22%2C you propose 2 soluti||286|1,4,8,7,6,10,2,5,3,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,5,6,7,8,3,9,10,1,2,4,8,6,3,9,5,10,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,10,1,2,3,4,5,7,8,10,6,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,4,5,2,6,8,10,3,7,9|4 23|10/22/2000|22:53:32|Josh Funk|Determining max diameter of oxygen in silicate molecule|Does anyone know of a formula for determining the maximum diameter of an oxygen atom in a silicate molecule%3F Basically it looks like you sat three s||247|6,2,4,3,5,10,8,1,9,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,7,1,8,6,9,3,5,4,10,2,1,2,3,4,5,6,7,8,9,10,2,1,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10|1 15|10/22/2000|18:26:16|smith slang|a logic puzzle|Dear Professor Bogomolny%0D%0A%0D%0AI am a student at Sacret Heart High School%2C San Francisco. Recently I encounter a very nice problem%2C but I can||326|4,10,2,8,1,5,3,9,6,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,3,1,5,6,4,7,10,8,2,9,1,2,3,4,5,6,7,8,9,10,1,2,3,5,6,4,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,6,4,7,8,9,10,1,2,4,3,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|3 24|10/22/2000|13:32:02|Neo|Tesseract%3A math is cool|dude%2C i really hate math%2C but that tesseract thing kicks ass%21 i really wonder though%2C is it possible to construct a physical model even thoug||250|8,4,2,7,1,3,6,10,5,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,4,5,6,7,8,9,10,2,1,5,4,2,3,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,4,6,7,10,8,9,1,10,2,5,8,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,8,9,10,1,4,2,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,3,8,2,5,1,10,9,4,7,6|1 22|10/21/2000|22:53:18|Mell Leonard|Pi and the base 12 number system|I have long held a theory that Pi could be divisible into a finite number in a base 12 number system %28as opposed to an infinite number in the base 1||260|4,10,9,8,5,6,1,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,6,7,8,10,4,9,2,8,7,10,6,9,4,1,5,3,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,2,1,7,4,3,5,10,6,8,9|1 19|10/21/2000|09:07:23|sabrina|tower of hanoi|Hi%2C I was wondering if you could answer me a question concerning the Tower of Hanoi%3F The Tower of Hanoi is often dismissed as a %22toy problem%22||250|3,8,1,4,2,5,6,7,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,5,3,7,6,8,1,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,10,9,2,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,10,9,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 18|10/20/2000|14:08:27|Tom Brown|birthdays|I have 5 children. Three by my first marriage. Two by my second.%0D%0A %0D%0A3 of the children were born on the same day%2C November 17%0D%0A %0D%0Ath||225|1,2,6,8,5,7,10,3,4,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,4,6,7,8,2,5,9,10,2,1,6,5,7,9,10,8,1,2,3,4,5,6,7,8,9,10,2,1,4,3,5,6,7,8,9,10,1,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,8,9,10,1,3,4,2,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,5,3,1,2,7,10,4,9,6,8|1 17|10/20/2000|13:30:45|Anton Adelson|Lewis Caroll%27s Pillow Problem|I found the question of Lewis Carroll about the pillow%3A%0D%0A%0D%0AA bag contains a counter%2C known to be either white or black. A white counter is||253|2,10,7,9,1,4,3,8,6,5,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,7,8,4,10,6,9,1,4,9,10,8,2,7,5,3,6,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,9,8,10,1,2,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,3,4,5,1,6,9,7,2,10|1 14|10/19/2000|21:08:38|Philip Romano|a question on questions|Regarding the question%2C %22Is no your answer to this question%3F%22%2C one of my friends says that this is not really a question because a meaningfu||247|6,2,5,8,1,7,10,9,4,3,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,4,6,7,8,9,10,2,10,4,8,7,6,5,3,1,9,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,2,3,1,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 11|10/19/2000|08:56:09|hernani morgante cortes|heating a balloon|Dear Alex.%3AIf you pull out with your fingers a piece of latex from a birthday balloon%2Cit will HEAT%2Cand%2Cafter releasing the pressure it will Co||247|3,1,2,5,4,8,6,7,10,9,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,4,5,6,7,2,8,10,9,1,2,6,8,10,3,9,7,5,4,2,1,4,3,5,7,6,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,8,7,6,5,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,1,10,2,3,5,8,4,6,7,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 9|10/19/2000|08:39:26|Rip Stauffer|Schoolteacher page|%0D%0AAlex%2C%0D%0A%0D%0A%0D%0AI just read the teacher.html page%2C and was about to answer the questions in the survey%2C when I realized that I coul||211|5,10,2,1,4,8,9,3,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,6,7,8,9,10,4,1,5,3,4,2,6,8,10,1,2,4,3,5,7,6,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,3,2,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|0 8|10/18/2000|21:54:05|Rodinalinquonte|How to remember the Pythagorean Theorem|%5Bp%5Di have no clue about how to remember the pythagorian theorem %28sp%29. i have tried songs and rymes and other happy thingy ma bobs but they don||239|6,5,8,9,3,2,1,10,1,3,4,2,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,10,8,6,10,8,3,9,7,4,2,1,5,1,2,5,3,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,4,2,1,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,9,10|1 5|10/18/2000|18:00:35|Vana Dany|polygon area|Hi %21%0D%0A%0D%0AMy name IS Danny Vana from Israel.%0D%0A%0D%0AI am interesting in Polygon area formula %3F%0D%0A%0D%0ADo you have such formula %3F%3||243|2,1,3,6,7,8,9,4,5,10,1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,2,3,5,4,10,7,9,8,6,1,1,2,4,3,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,2,3,6,5,7,8,4,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 3|10/18/2000|08:22:37|vb|Finding optimal koordinate transformation|Hi%2C%0D%0A%0D%0AI have a %28probably%29 small problem%2C but I alone can do nothing with it. %0D%0A%0D%0AWe have two sets of vectors a%28i%29 and b%2||237|1,4,8,10,7,5,6,9,3,2,1,2,3,4,5,6,7,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,5,7,6,8,2,9,4,10,7,10,4,2,1,9,5,2,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,4,5,2,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,3,4,5,6,7,8,9,10|2 2|10/16/2000|16:51:05|Bernadette|spatial velocity gradient|I am trying to explain different measures%2Fquantities in terms of their dimensions%2C i.e. velocity would be l divided by t%5E2 %28 where l%3Dlength%||224|1,2,3,4,10,8,6,5,9,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,8,5,10,2,4,3,7,9,6,1,2,3,4,5,6,7,10,9,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,3,6,2,8,10,9,1,4,5,7|1 1|10/13/2000|22:04:33|Phil|math language|Hello%2C%0D%0A%0D%0ANice page. How do I go from English to math%3F In other words%2C I know how to average numbers and can explain it verbally. But||240|2,1,4,6,3,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,10,8,1,3,4,5,7,6,2,8,9,10,1,2,3,4,5,6,8,7,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,4,6,5,2,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,5,9,3,10,7,1,6,2,8,4,1,2,3,10,5,7,6,8,4,9,1,2,3,4,5,6,7,8,9,10,4,3,1,2,7,6,10,9,5,8|1 10|1||||||85|1,3,4,6,8,5,9,10,2|