115|09/15/2001|19:30:53|Brittany (Guest)|Who determined this paradox%3F%3F| My teacher gave me an example of a mathematical paradox. He used a baseball game to explain. Two men%2C Sosa and Mcguire play on grass and turf fiel||11||1 114|09/10/2001|19:33:18|Karyn (Guest)|mathematical induction|I have been trying to prove that %281%29%5E2 - %282%29%5E2 %2B %283%29%5E2 %2B...%2B %28%28-1%29%5E%28n%2B1%29%29%2A%28%28n%29%5E2%29 %3D %28%28-1%29%||13||1 113|09/08/2001|00:11:27|Rebecca (Guest)|Perfect Squares Method|I have been given a set of 16 variables with their own individual x and y values. For example%2C pt. 1 has an x value of 3 and a y value of 25. Pt. ||22||1 112|08/31/2001|20:26:15|Sylvia Murray (Guest)|Problem Solving|The following Letters represent a number. I can%27t figure them out. Can you help%3F%0D%0A EAT%0D%0A %2BTHAT%0D%0A _______%0D%0A %3DAPPLE%0D||46||3 111|08/22/2001|01:07:47|MathsNoGood|I need help with Probability questions|I am sitting my repeat college exam in maths and i am doing past exam papers however i cannot seem to get any answers sheet to compare my answers. Wou||41||1 6|08/15/2001|21:13:48|tle|counting|How many integers n are there such that 1000%3C%3Dn%3C%3D9000 and %0D%0A%28a%29the 4 digits in n are nonincreasing %28as in 7330%29%3F%0D%0A%28b%29the||244|9,1,2,3,4,5,6,7,8,9,10,2,3,4,5,1,6,8,9,7,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,6,1,2,3,4,5,6,7,8,9,10,1,10,8,9,4,2,7,5,3,1,2,3,4,5,6,7,8,9,10|2 78|08/15/2001|21:13:48|bhags|solution needed|problem%3A%0D%0A There are more adults than boys%2Cmore boys than grils%2Cand more grils than families.If no family has fever than 3 children%2Ctahn w||166|1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,9,8,10,1,2,3,5,4,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,10,2,1,3,7,5,8,4,6,9|3 101|08/12/2001|22:04:28|SR (Guest)|Simplification|what does this simplify out to be %5E%3Dexponent%0D%0A%0D%0A%28-b%5E2%29%5E2%2Fb-a||94|1,2,10,4,3,7,6,8,5,9,1,2,3,4,5,6,7,8,9,10,10,1,4,3,2,9,8,5,7,6|1 55|08/12/2001|22:04:28|andrew glenville (Guest)|point on a graph|this is probably fairly basic%2C but i was never particularly gifted in the matamatical arena%21 ......on a downward curving graph%2C what is the poin||264|4,3,5,6,2,10,1,8,7,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,8,9,10,1,2,3,4,5,6,8,7,10,9,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,9,10,8,1,2,3,4,5,6,7,8,9,10|3 65|08/12/2001|21:38:42|Pitball|MAPPING AND MATRICES|I have a few things I need defining. I%27m studying a Computing degree and therefore not a mathmetician although it%27s part of our course.%0D%0A%0D%0||162|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,5,3,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|2 28|08/12/2001|21:38:42|Kevin Bond (Guest)|Definition of degenerate|What does it mean to be %22degenerate%22 in a mathmatical sense%3F ||234|01,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,7,6,8,9,4,10,4,5,8,9,3,10,2,6,7,1,2,3,5,6,8,7,10,9,1,4,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|2 110|08/10/2001|12:24:46|John (Guest)|Linear and Non-linear equations|Could you please show me an example of a linear equation and then a non-linear equation because I am having difficulty differentiating between the two||61||2 106|08/06/2001|10:38:49|robby|Higher order linear Equation|Find if the function is linearly dependent or not. If it is then find the linear relation ship%0D%0A%0D%0A1.f1%28t%29%3D2t-3 f2%28t%29%3D 2t%5E2%2B1||50||1 79|08/05/2001|23:26:08|iotangel|I want to find an analytical expression of a mapping...|It is a one-to-one mapping between the set of integer points of the 3D space and the set of natural numbers. Suppose the mapping is f%28a%2Cb%2Cc%29%3||139|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,9,10,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,10,2,4,3,1,7,6,5,9|1 108|08/05/2001|23:19:10|charlotte|Binary Numbers That Are Multiples Of 3|I%27m having trouble figuring this out.%0D%0AHow can you tell that a binary number has a factor of 3 assume that you read the most significant bit fir||45||1 107|08/05/2001|21:17:45|Greg Viers (Guest)|Red-blue split%2C and hamiltonian cycles|The graphs%3A Planar graphs that are triangulated %28is that the word%3F%29. In other words%2C every single region on the graph %28an area bounded by ||41||0 102|08/04/2001|16:21:10|Liam Tierney (Guest)|Maple help|I am an undergrad student and would like to find a site%2F individual who could help me with a programming problem in Maple. It includes recurrence re||98|1,2,3,4,5,6,7,8,9,10,3,10,1,2,4,6,5,9,8,7|3 33|07/21/2001|01:45:29|Isabelle (Guest)|Math team questions|Dear Sir%3A I need some help on these tricky math team questions. Could you help me%3F They are as follows%3A%0D%0A%0D%0AFind the sum of all postive p||259|1,2,3,5,6,7,8,9,10,4,4,7,10,5,8,6,1,9,2,3,1,2,3,4,5,7,6,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|4 105|07/19/2001|23:04:40|Alvin Chang (Guest)|RE%3A Nim as FOL|Dear Sir%2C%0D%0A%0D%0AI would like to ask kindly for your help. Please tell me if I can express Game of Nim in First-Order Logic. My situation is%2C ||80||3 104|07/08/2001|08:44:57|Jim Cavanaugh (Guest)|Round Robin Schedule|I am trying to solve a scheduling problem. I know that my problem is a Latin Squares problem. I can create the team pairings%2Fround OK. However%2C||60||0 103|07/06/2001|17:10:22|chrisg|Josephus Problem variation|Here%27s a variation on the well-known Josephus Problem that is quite interesting. Arrange %24n%24 people in a line %28rather than in a circle%29 and||57||0 15|06/19/2001|00:29:23|zd sha|What does %22sup%22 mean|We know that %22max%28x%29%22 means the max element in the vectory x%2C then what does %22sum%28x%29%22 mean%3F||271|2,1,2,3,4,6,8,9,10,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,2,3,5,4,6,7,8,9,5,10,1,7,3,2,6,4,9,8|3 100|05/30/2001|08:09:04|tarquin|ratio of chord divided by radii|I%27ll try and explain this carefully...%0D%0ALet T be an angle %3C 180 degrees%0D%0ATake a circle%2C centre O and draw 2 radii at an angle T apart.%0||96|2,1,10,4,5,3,8,7,6,9,1,2,3,4,5,6,7,8,9,10,10,1,3,4,2,6,5,7,8,9,10,2,4,6,8,1,3,9,7,5|1 88|05/30/2001|07:49:47|Finian|How come%3F|Alexb%3A%0D%0A Today I try to graph the reciprocal function%2C i.e. y %3D 1%2Fx.%0D%0AAfter graphing it%2C I try to find the area R under the line||138|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,2,4,6,5,7,3,8,9,4,7,10,5,8,3,9,6,1,2|2 99|05/24/2001|10:32:38|Mephisto|quadrangle%3A problematic three points on the same line|Hello everybody%21%0D%0A%0D%0AI have a problem concerning geometry in a quadrangle. I don%27t know whether it is right to call it Gauss%27s Theorem%2C||101|1,2,3,4,5,6,7,8,9,10,1,10,4,2,5,6,3,7,9,1,10,5,4,7,3,2,6,8,9|2 98|05/05/2001|12:42:57|alexanderyd|Unsolved problems|can you tell me some of the serious unsolved problems in high math%3F%0D%0AFerma%27s last theorem has been proven%2C what%27s now%3F||114|6,1,2,3,4,5,6,7,8,9,10,1,10,2,4,7,6,3,5,8,9,2,10,8,7,9,1,4,3,5,6|1 96|05/04/2001|13:29:27|em99my|Sylvester%27s Inequality|I am looking for the proof to Sylvester%27s Inequality... any help in pointing me in the right direction or even the proof itself would help so much%2||104|1,2,3,4,5,6,7,8,9,10,1,2,3,5,10,4,6,7,8,9,4,7,5|1 97|05/04/2001|13:13:17|Voltago (Guest)|Divisibility by 3 with a base of 5|as everyone knows%2C you can decide if a number can be divided by 3 by adding its digits.%0D%0A%0D%0Abut how can I decide this if the number is given ||104|1,2,3,4,5,6,7,8,9,10,1,10,3,5,4,2,6,7,8,9,5,6,7|1 95|05/01/2001|09:00:39|tarabas|MATRIX functions|Hallo%2C I%27ve got a serious problem with exponencial matrix function. It%27s well known that for noncommuting matrixes %28i.e.%0D%0A%5BA%2CB%5D not ||108|1,2,1,1,2,3,4,5,6,7,8,9,10,1,10,4,7,5,8,6,9,10,5,1|1 94|04/29/2001|12:16:51|Peter|Any reversible math function available%3F|Is there any FULLY REVERSIBLE function available that can take in two numbers and provide ONE output%3F Almost as in a Sine%2FCosine conversion. %0D%0||99|1,2,3,4,5,6,7,8,9,10,10,2,1,3,7,6,5,8,4,8,5,1,2|1 93|04/25/2001|17:04:47|Alexander (Guest)|Pythagorean Theorem in Henges%3F|This book I read said that soem henges were made in a way that 2 circles%2C one larger one smaller%2C could be discerned and the sides were then conne||123|1,2,3,4,5,6,7,8,9,10,1,10,2,4,3,5,7,8,6,9,2,10,1,6,4,5,3,7,8,9|3 92|04/22/2001|20:59:39|David (Guest)|.999...%3D1%3F|please provide me with some evidence backing up the statement.999...%3D1 or the statement that it doesnt equal 1.thanx||114|1,2,3,4,5,6,7,8,9,10,1,3,4,2,6,10,5,8,7,9,1,2,10,6,9,4,8,7,3,5|1 91|04/20/2001|08:40:03|mouseking|What is a S-function%3F|If S%28d%29 is a S-function%2C such that it maps the variable d into the interval %5B0%2C 1%5D. Then%2C how to formulate S%28d%29%3F||97|1,2,3,4,5,6,7,8,9,10,1,10,2,5,4,3,6,7,9,8,1,10,9,6,8,7,2,3,5,4|0 89|04/17/2001|21:16:06|David S (Guest)|Studying for an Enriched Math competition|Hello%2C I%27m a grd. 12 student at a Canadian High school.%0D%0AIn a few days%2C i am supposed to be taking an Enriched Math competition in which pro||121|1,2,3,4,5,6,7,8,9,10,10,1,2,3,4,6,7,9,5,8,10,2,1,5,8,6,3,9,7,4|2 86|04/11/2001|09:54:21|Finian|A series problem|To whom may I concern%3A%0D%0A Hello. I am finian. I visit your site quite often. So sorry for my awful english.%0D%0A Just go back to busin||173|1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,2,3,5,6,4,8,9,7,1,3,8,7,2,5,9,6,4,10|7 87|04/11/2001|00:22:57|Finian (Guest)|What%27s the formal answer|Alexb%3A%0D%0A What is the formal answer of the folling question%3F%0D%0A find the biggest real solution of x%3A%0D%0A x-%281%||114|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,2,4,6,7,5,3,8,9|1 80|03/31/2001|09:10:25|Steve Brown (Guest)|RE%3A Chinese Remainder Problem - a %3D b %28mod 1%29 %3F|on http%3A%2F%2Fwww.cut-the-knot.com%2Fblue%2Fchinese.html%0D%0A%0D%0Ait states%3A%0D%0AWhen m1 and m2 are coprime their gcd is 1. By convention%2C a ||129|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,2,3,5,4,8,7,6,9|2 77|03/14/2001|01:27:02|fivepoint9|trigonometry - compound angles|a hole in a block of metal that is lying flat on a table has 2 angles given%3A %0D%0A%0D%0A angle A is in the xz plane dimentioned from the verticle%0||129|1,2,3,4,5,6,7,8,9,10,1,3,2,5,6,4,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,10,2,4,5,6,3,8,7,9|0 76|03/13/2001|22:39:09|Jean-Philippe DuBois (Guest)|Bugs on a Table|I look for analytic solution to following problem%3A%0D%0A%0D%0A-----%0D%0A%0D%0AFour bugs are at the corners of a square table. The bugs begin to mo||142|1,2,3,4,5,6,7,8,9,10,1,3,2,5,4,7,6,8,9,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,3,1,10,6,4,7,8,5,9|1 74|03/13/2001|00:12:53|gh@over-yonder.net (Guest)|Chinese Remainder Theorem|I read the proof%2C but I am lost in the solution to problem one.%0D%0AProblem 1%2C on %3Chttp%3A%2F%2Fwww.cut-the-knot.com%2Fblue%2Fchinese.html%3E%0||139|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,10,2,1,3,4,5,6,8,9,7|1 75|03/12/2001|23:59:58|Cibel (Guest)|Analysis Problem|There is something about analysis that i dun quite understand.%0D%0AIf f is a continuous function f%3AR--%3ER. If f is a local extreme for each%0D%0Ax||138|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,9,8,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,10,2,1,3,4,8,7,6,5,9|1 73|03/11/2001|09:44:53|Robert Burrage (Guest)|Extension of Goldbach%27s conjecture |The following potential extension of Goldbach%27s conjecture recently occurred to me%3A%0D%0A%0D%0A%22Any positive integer can be expressed as the sum||131|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,10,3,4,6,8,5,7,9|0 72|03/10/2001|23:09:12|Omar Mirza (Guest)|Try to answer this%21%21|Find%2C with proof%2C the probability that 4 distinct points on a sphere form a tetrahedron with at least one obtuse angle.||126|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,10,2,1,3,5,4,6,7,8,9|0 71|03/09/2001|01:03:56|Dave (Guest)|Evaluating a limit as x -%253E infinity|I just had a test on this and this was the one problem I couldn%27t get%3A%0D%0A%0D%0Alim as x -%3E infinity of %28sqrt%28x - 6%29 - sqrt%28x%29%29%0D||140|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 67|03/02/2001|00:13:06|Ted Dang (Guest)|Conditions for following equation to be true|f%28x%29 exists%2C y%28x%29 also exists%0D%0A%0D%0Af%28x%29 is written as g%28x%2Cy%29%0D%0A%0D%0AMy question%3A Under what conditions does%0D%0A%0D%0||142|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,4,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 66|02/28/2001|21:53:18|William Landry (Guest)|Unique Permutations%2FCombinations in deck with multiple identical cards|I have the following permutation and combination related problem%3B%0D%0A%0D%0AI have a deck of 84 cards made up of 7 unique types as follows%3B%0D%0A||139|2,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|0 64|02/24/2001|10:11:40|Dynamo|Omega Functions%3F%3F|I am an undergraduate%2C and I have been asked by a collegue what the omega function is. I have never come accros it%2C could someone point me to some||152|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,9,7,8,10,1,4,5,2,3,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 60|02/19/2001|18:00:54|marinos77|patterns|Marios tosses 6 fair coins and Michael tosses 5 fair coins. What is the probability that Marios tosses more %22heads%22 than Michael%3F%0D%0A%0D%0AI n||152|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,6,7,4,5,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,6,5,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 61|02/19/2001|01:18:24|senright1688|set up a schedule for competitive sport teams|have 10 teams and want to set up a schedule so each team will play a different team each week %3F%0D%0Athe number of teams will vary periodically and%||135|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,4,7,6,9,8,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|0 57|02/18/2001|17:09:35|saumil07|THE TOWERS OF HANOI-A DIFFERENT PERSPECTIVE|You guys out there probably know about the towers of hanoi....let me give you a different perspective that has bogged me for the past few days.....%0D||331|2,3,4,5,6,7,8,9,10,1,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,6,4,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,8,9,6,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|5 56|02/12/2001|08:54:00|CrystalDawn|inquiring mind wants to know...|What does the QED mean that we always write at the end of our proofs%3F Just thought maybe I should know what I%27m saying.%0D%0AThanks%2C%0D%0ACryst||154|1,4,3,2,10,8,7,5,6,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 54|02/08/2001|23:49:53|Joseph|Guessing a number %3C 1000|I can%27t seem to get this one%21%21%0D%0AIf I think of a number that is leass than 1000. Can you always guess it within no more than 10 guesses%3F ||183|3,8,7,9,4,5,6,1,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,9,8,10,1,2,4,3,6,5,7,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10|1 52|02/07/2001|09:30:17|Colin (Guest)|Application of Complex Number|Hi%2C can someone tell me the major applications of complex number%3F I just know several of them%2C evaluating integrals%2C summing series%2C provin||163|1,2,3,7,4,6,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 53|02/07/2001|09:23:19|JRM|MATHEMATICAL INDUCTION|PROVE BY MATHEMATICAL INDUCTION%3A%0D%0A%28A%29 1%2B2%2B3%2B...%2BN%3D1%2F2%28N%29%28N%2B1%29 %0D%0A This equality states that the sum of the firs||152|2,1,4,3,5,10,9,6,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,7,6,8,9,10,1,2,3,4,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|0 50|01/30/2001|14:58:09|Stone, Harold L (Guest)|Barycentric to Cartesian Translation|Mr. Bogomolny%2C%0D%0A%0D%0AI am trying to find a source for the conversion of a tetrahedron in barycentric coordinates to a Cartesian space. Your si||149|1,2,3,6,5,7,8,9,10,4,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 51|01/30/2001|14:57:07|Amber Thom (Guest)|Twin Brothers Puzzle Webpage|Hello Alexander. I happened on your site and worked my way to the webpage about the twin brothers. As I scrolled down the page I began to get a feel||150|1,2,4,3,5,6,8,7,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 49|01/19/2001|18:34:26|dufster|Maclaurin%27s Theorem Probs%21%21|Hi my name is Paul and I%27m curremtly studying for a HNC in Engineering.I%27m stumped with this question our tutor asked us%2Cany help would be great||158|1,3,2,7,8,9,10,5,4,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,8,7,9,10,1,2,3,4,5,6,7,8,9,10,2,3,1,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|0 48|01/17/2001|02:46:42|DannyJ111 (Guest)|Estimation of tanks|CAN ANYONE HELP ME%3F%21%21%0D%0A%0D%0A%09During WWII the united states neaded to estimate the number of tanks that the Nazis had. The US captured 4 ||166|1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 47|01/17/2001|02:27:34|Help!! (Guest)| about Fuzzy Maths|I want to know the contents of Fuzzy Maths. Thank you very much.||165|1,2,3,6,5,7,8,10,9,4,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 46|01/14/2001|13:40:16|Chris Dann (Guest)|RE%3A Manipulating Equations|I am currently studying with the OU-physics which envolves alot of rearranging equations. There seems to be no literature on how to do this apart from||177|1,3,2,4,6,5,7,8,9,10,8,1,9,10,4,7,6,2,3,5,5,6,4,7,3,10,8,1,9,2,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 45|01/07/2001|13:49:48|dseidman|Advice for self study text%2C and a question re mirror-sym. hyper-space objects|Dear Sir%3A%0D%0A%0D%0AMy mathematical education stopped some 20 years ago with college calculus. Now%2C as an intellectually curious adult%2C I am pa||280|1,3,4,2,5,6,7,9,8,10,3,6,8,1,10,7,5,2,4,9,1,2,3,4,5,9,8,7,10,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|3 44|01/05/2001|13:00:30|sderamus|Complex Wave problem|OK%2C this is a good one - inspired by my 5 yo daughter%27s jump rope that she just got from Santa. Assuming she %28designated as MED%29 is standing ||212|1,2,4,5,3,7,8,9,10,6,9,10,1,8,6,5,7,3,2,4,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,4,7,6,8,9,10,1,2,3,5,4,7,6,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 42|12/11/2000|19:28:55|ian_hodgson (Guest)|d%2Fdx%28x%5Ex%29|hi%2C your page rocks.%0D%0A %0D%0Aplease could youy help me to solve a problem which has plagued me and my friends for months.%0D%0A %0D%0Awhat is d%||253|1,2,3,4,5,6,7,8,9,10,2,3,5,6,9,7,4,1,4,7,5,2,10,9,8,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|2 43|12/11/2000|19:23:39|Sarah L Amstutz (Guest)|Menelaus Theorem|I just made my first visit to your web site the other day %28I enjoyed it immensely%21%29 and decided to do a project%2Fpresentation on the Menelaus T||216|2,1,3,5,4,6,7,10,9,8,7,2,4,6,8,5,1,3,9,10,6,1,2,3,10,4,5,8,9,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,6,5,7,8,1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,9,8,10,1,2,3,4,5,6,7,8,9,10|1 41|12/08/2000|22:41:25|Steven Q Miko (Guest)|Listing all permutations|I am looking for some help on permutations.%0D%0A%0D%0AI%27m afraid I don%27t completely understand your permutation program using recursion on your %||246|1,2,3,4,6,5,7,8,9,10,3,4,6,8,7,1,9,2,10,5,1,2,5,3,7,8,4,6,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|2 39|12/08/2000|14:19:46|wild_fish|topology|I%27ve been trying to figuire out how to prove the backwards way of the Heine-borel theorem. If a set is closed and bounded then it is compact...%0D%0||221|2,4,3,5,1,6,7,8,9,10,6,8,9,7,10,5,2,1,4,3,1,3,4,9,10,5,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,4,2,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 38|12/06/2000|14:23:29|danny|partial fractions|how do youn solve a question of this nature when you have 4 unknowns||223|2,4,3,5,6,1,7,9,8,10,9,10,3,7,2,3,5,7,8,1,4,9,10,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,7,6,8,9,10,1,2,3,5,4,6,9,8,7,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 37|12/05/2000|22:48:22|The Jaffe's (Guest)|3 foci ellipses|Is there such a thing as a three-foci ellipse%2C and does it occur naturally in nature if it exists%3F||217|3,1,2,4,5,6,7,8,10,9,10,9,3,7,2,6,1,4,8,5,4,1,2,3,6,5,7,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,5,3,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 36|12/05/2000|21:49:25|Gem|Erroneous proof %28%3F%3F%3F%29%3A The real interval %3C0%2C1%3E as a countable set.|There must be a flaw in my thinking below. Can someone please help by pointing it out%3F Thanks.%0D%0A%0D%0ATheorem%3A The reals in the interval %5B||293|1,2,3,4,5,6,7,8,10,9,5,6,8,1,4,9,10,3,2,1,2,3,6,5,4,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,7,6,8,9,10,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|3 35|12/03/2000|01:06:44|DdrgL|Coin puzzle|Hi%2C%0D%0A%0D%0AThis puzzle seems to be very esy at first. But it turns out to be tough. Lets try%21%0D%0AYou have 12 coins that look identical. But%||299|1,2,4,3,5,7,8,10,9,6,5,6,7,4,3,8,1,10,2,9,1,2,4,3,5,6,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,6,5,7,8,10,9,1,2,3,4,6,7,5,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|3 32|11/28/2000|00:56:41|Isabelle Evans (Guest)|Math Team questions%2F college level in high school|Dear Sir - I am in math team at my high and there are question I have that I cannot fiqure how to do from my book or other resources. The questions ar||223|1,4,3,2,5,6,7,8,9,10,4,8,10,7,9,5,6,2,1,3,1,2,3,4,5,6,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 31|11/24/2000|01:54:12|Alex Birman (Guest)|Is Pi irrational%3F|Hello there%21%0D%0A %0D%0A I have visited your site today%2C and I really liked it%21 I really admire you for finding the time and the will to bui||231|02,1,3,4,5,6,7,9,8,10,5,8,3,10,6,7,1,2,3,4,5,9,8,6,7,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,10,9,1,2,3,6,4,5,7,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,6,7,8,9,10|1 30|11/20/2000|00:20:56|Jeff Jardin (Guest)|Recursive series converging to pi|Suppose X%5Bsub%5D0%5B%2Fsub%5D %3D 2%B7sqrt3%2C Y%5Bsub%5D0%5B%2Fsub%5D %3D 3.%0D%0ALet%0D%0A%0D%0A X%5Bsub%5Dn%5B%2Fsub%5D %3D 2%26middot%3BX%5Bsub||205|1,2,3,4,5,6,7,8,9,10,1,3,2,5,6,7,8,4,9,10,9,10,3,8,6,2,5,7,4,1,3,4,2,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,9,8,10,1,3,2,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|1 27|11/12/2000|23:53:04|Francisco Pereira (Guest)|Geometric Transformations|Hi%2C my wife is taking a course of mathmatics %28she is a teacher%29%2C and this course is taken from a long distance. The University has a book on %||153|01,2,3,4,5,6,7,9,10,8,3,6,4,5,2,1,10,7,8,9,5,1,10,9,4,6,7,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,6,5,7,8,10,9,1,3,2,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|0 12|11/06/2000|12:07:02|Francisco Pereira|Geometric Transformations|Hi%2C my wife is taking a course of mathmatics %28she is a teacher%29%2C and this course is taken from a long distance. The University has a book on %||223|8,2,3,4,5,7,1,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,10,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,10|1 11|11/01/2000|14:12:58|Chris Morris|rounding data|Dear Alexander%2C%0D%0A%0D%0A%0D%0AProblem%3A To make all integer percentages add up to 100%25%0D%0A%0D%0ATo calculate the percentages%2C I divide eac||249|9,3,2,1,4,5,9,7,8,6,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,10,3,1,4,7,2,5,6,8,9,1,2,3,4,5,6,7,8,9,10|1 9|11/01/2000|10:42:16|Paul|Cutting a circle|What is the maximum number of pieces you can get cutting a circle x times.%0D%0A%0D%0AI came up with x %2B %28x-1%29 %2B %28x-2%29.... %2B 1 but I%27m||420|5,1,2,3,4,6,5,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,8,6,5,7,9,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|6 8|10/31/2000|12:36:04|Katherine|flavius recurrsion error %28I think%29|Dear Sir%3A%0D%0A%0D%0AI was so happy to find this site. It%27s really cool%2C and I really needed the algorithm for m%3D2 in the Josephus recursion ||388|2,1,2,4,3,5,8,7,9,10,6,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,5,6,4,7,8,9,10,1,2,4,5,3,6,7,9,10,1,2,3,4,5,6,7,8,9,10,1,3,2,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10|5 7|10/31/2000|12:27:48|Dan Peabody|modular arithmetic and encryption|I have been reading Simons singh%27s Book %27Code book%27 and found the section on Public key distributon very interesting. In the appendix he describ||258|9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,4,6,7,9,8,10,1,2,4,3,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,6,10,4,1,9,7,2,3,1,2,3,4,5,6,7,8,9,10|1 10|10/31/2000|10:46:43|george|Base 26 without using numbers|Hello%3B%0D%0A%0D%0AI want to find a way to use only the letters A through Z in a 3 digit string and count from AAA to ZZZ. This is a base of 26 with||250|6,1,2,3,4,5,6,9,8,10,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,6,8,10,9,2,1,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,2,1,3,4,5,10,7,6,9,8,1,2,3,4,5,6,7,8,9,10|1 5|10/28/2000|21:30:42|charlatans1|Unsure|I started a new course recently and we were given a question as part of the introductory assignment. I know it looks easy%2C but I%27ve never encounte||225|5,1,2,3,4,6,7,5,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,8,7,9,10,1,2,3,4,6,5,7,8,10,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,4,10,2,7,9,6,5,1,3,8,1,2,3,4,5,6,7,8,9,10|0 4|10/26/2000|20:31:40|Jerry Boatz|Why is f%22%280%29%3D0%2C where f%28x%29%3Dx%5E2n %28n%3D2%2C3%2C4...%29%3F|I am wondering why%2C in the family of even-powered functions f%28x%29 %3D x%5E2n where n%3D1%2C2%2C3%2C...%2C does only the first case%2C n%3D1%2C ha||254|3,1,2,3,4,5,8,6,9,10,7,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,7,8,6,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,7,10,1,3,6,2,4,9,5,1,2,3,4,5,6,7,8,9,10|1 3|10/26/2000|17:58:31|Ronald Pierce|learning the binary sysem|do you have a table that shows the conversions aswell as the steps to convert binary to decimal and visc versa on 2%2C4%2C8%2C16%2C32 bit system%3F I||250|5,1,2,3,5,6,7,9,4,10,8,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,6,5,7,8,9,10,1,2,3,5,6,7,4,9,8,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,6,1,10,3,7,4,5,2,9,8,1,2,3,4,5,6,7,8,9,10|1 2|10/26/2000|12:56:27|creator83|Permutation Expression|How do I prove%3A how many permutations of 0%2C1%2C...%2Cn-1 that leave the ORDER of elements 0%2C1%2C...%2Ck-1 undisturbed%2C k is less or equal to n||267|9,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,8,7,6,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,2,1,4,3,6,7,5,8,9,10,1,2,3,4,6,5,8,9,7,10,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10|1 1|10/22/2000|09:20:41|Mei Hee|What is wrong with this argument%3F%3F %28Linear Algebra%29|I am taking a Linear Algebra course recently. And I have been trying to prove that if a space V has a finite basis and W is the subspace of V%2C then ||276|3,1,2,3,4,5,7,6,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,5,6,7,8,10,9,1,2,3,4,5,6,8,9,10,7,1,2,3,4,5,6,7,8,9,10,1,2,4,3,5,6,7,8,9,10,1,10,2,3,7,8,9,4,5,6,1,2,3,4,5,6,7,8,9,10|1