26||||||Dear Alexander%2C%3CP%3E%0D%0AProblem%3A To make all integer percentages add up to 100%25%0D%0A%0D%0ATo calculate the percentages%2C I divide each number by the total of all the numbers %28and  multiply by 100%29. A this point of course they all add up to 100%2C however I need integer percentages%2C so my problem really occurs in the conversion from floating point numbers to integers.%0D%0A%0D%0AHere is an example of my problem%0D%0A%0D%0AIf the percentages work out to be%0D%0A%0D%0A10.2%0D%0A30.65%0D%0A28.55%0D%0A30.6%0D%0A%0D%0A%0D%0AThese floting point numbers all add up to 100. The integer parts add up to 98. If I round the values ie%28 10%2C31%2C29%2C31%29 they add up to 101.%0D%0A%0D%0AOne way I thought about doing it was to add up all the fraction parts in this case %280.2%2B0.65%2B0.55%2B0.6%29 %3D 2. Therefore the rounding process should generate an additional 2%25%2C I could then order the fractional parts %280.2%2C 0.55%2C 0.6%2C 0.65%29 Starting at the right hand side I could round up 2 values and round the rest down.%0D%0A%0D%0Aie %0D%0ARound the last 2 numbers up%0D%0A%5Bpre%5D%0D%0A  .65 rounds to 1   %28add 1 to the integer part %3D 31%29%0D%0A  .6  rounds to 1   %28add 1 to the integer part %3D 31%29%0D%0A%5B%2Fpre%5D%0D%0Aand now round the rest down%0D%0A%5Bpre%5D%0D%0A  .55 rounds to 0   %28add 0 to the integer part %3D 28%29%0D%0A  .2  rounds to 0   %28add 0 to the integer part %3D 10%29%0D%0A%5B%2Fpre%5D%0D%0A%0D%0AThe percents then all add up to 100%2C %2831%2B31%2B28%2B10%29 %3D 100%0D%0A%0D%0AI was hoping there was a simpler approach...%0D%0A%0D%0ATIA%0D%0AChris Morris%0D%0A|||300|10|0
1|0|alexb|10/22/2000|09:18:51|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 ||634|5.49285714285714|1
2|0|alexb|10/26/2000|23:06:53|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||602|5.52482269503546|1
3|0|alexb|10/26/2000|17:50:34|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||576|5.49645390070922|1
4|0|alexb|10/26/2000|20:25:40|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||637|5.46428571428571|1
5|0|charlatans1|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||554|5.49586776859504|0
7|0|alexb|10/31/2000|09:37:56|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||883|5.51006711409396|1
8|0|Katherine|10/31/2000|00:52:11|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 ||919|5.46470588235294|5
9|0|Paul|11/01/2000|08:46:52|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||969|5.49723756906077|6
11|0|alexb|11/01/2000|14:09:59|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||586|5.52671755725191|1
12|0|alexb|11/06/2000|12:01:58|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 %||554|5.51908396946565|1
27|0|Francisco Pereira (Guest)|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 %||438|5.51181102362205|0
30|0|alexb|11/20/2000|00:05:22|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||567|5.53020134228188|1
31|0|alexb|11/24/2000|01:47:38|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||676|5.52777777777778|1
32|0|alexb|11/28/2000|00:47:19|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||597|5.5|1
35|0|alexb|12/03/2000|09:57:41|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%||812|5.4251968503937|3
36|0|alexb|12/05/2000|17:56:46|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||771|5.48837209302326|3
37|0|alexb|12/05/2000|22:00:24|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||635|5.5|1
38|0|alexb|12/06/2000|14:21:37|danny|partial fractions|how do youn solve a question of this nature when you have 4 unknowns||563|5.54861111111111|1
39|0|alexb|12/08/2000|14:07:51|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||565|5.51020408163265|1
41|0|Steven Q Miko (Guest)|12/08/2000|22:36:08|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 %||633|5.5|2
43|0|alexb|12/11/2000|19:21:41|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||605|5.44594594594595|1
42|0|ian_hodgson (Guest)|12/11/2000|19:21:41|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%||655|5.5|2
44|0|alexb|01/05/2001|12:26:01|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 ||564|5.5|1
45|0|alexb|01/07/2001|13:56:21|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||750|5.5|3
46|0|alexb|01/14/2001|13:27:24|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||521|5.5|1
47|0|alexb|01/17/2001|02:12:47|Help!! (Guest)| about Fuzzy Maths|I want to know the contents of Fuzzy Maths. Thank you very much.||490|5.5|1
48|0|alexb|01/17/2001|02:12:47|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 ||470|5.5|1
49|0|dufster|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||464|5.5|0
51|0|alexb|01/30/2001|14:49:12|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||475|5.5|1
50|0|alexb|01/30/2001|14:49:12|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||866|5.5|1
53|0|JRM|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||370|5.4765625|0
52|0|alexb|02/07/2001|09:23:19|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||439|5.47222222222222|1
54|0|alexb|02/08/2001|23:44:00|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  ||443|5.52517985611511|1
56|0|alexb|02/12/2001|08:49:14|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||428|5.5|1
57|0|alexb|02/18/2001|09:24:11|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||832|5.5|5
61|0|senright1688|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%||356|5.5|0
60|0|alexb|02/19/2001|17:31:59|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||399|5.5|1
64|0|alexb|02/24/2001|09:50:14|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||514|5.5|1
66|0|William Landry (Guest)|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||413|5.5|0
67|0|alexb|03/02/2001|00:10:13|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||393|5.5|1
71|0|alexb|03/09/2001|00:55:13|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||380|5.5|1
72|0|Omar Mirza (Guest)|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.||349|5.5|0
73|0|Robert Burrage (Guest)|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||356|5.5|0
75|0|alexb|03/12/2001|13:42:58|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||438|5.5|1
74|0|alexb|03/13/2001|13:42:58|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||458|5.5|1
76|0|alexb|03/13/2001|22:35:59|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||430|5.54929577464789|1
77|0|fivepoint9|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||371|5.5|0
80|0|Steve Brown (Guest)|03/31/2001|08:45:08|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 ||423|5.5|2
87|0|alexb|04/11/2001|00:09:58|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%||405|5.5|1
86|0|Finian (Guest)|04/11/2001|17:59:52|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||925|5.5|7
89|0|David S (Guest)|04/17/2001|21:14:11|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||451|5.5|2
91|0|mouseking|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||324|5.5|0
93|0|alexb|04/25/2001|23:24:43|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||517|5.5|3
94|0|alexb|04/29/2001|12:08:16|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||418|5.08695652173913|1
95|0|alexb|05/01/2001|08:54:54|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 ||395|5.20833333333333|1
97|0|alexb|05/04/2001|13:05:24|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 ||380|5.56521739130435|1
96|0|alexb|05/04/2001|13:05:24|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||824|5.47826086956522|1
98|0|alexb|05/05/2001|12:26:10|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||450|5.51612903225806|1
99|0|Mephisto|05/24/2001|08:42:50|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||491|5.41379310344828|2
88|0|tarquin|05/30/2001|09:00:48|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||474|5.5|2
100|0|alexb|05/30/2001|07:49:47|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||396|5.5|1
15|0|alexb|06/19/2001|01:12:21|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||1241|5.47857142857143|3
103|0|chrisg|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||367||0
104|0|Jim Cavanaugh (Guest)|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||289||0
105|0|alexb|07/19/2001|15:25:42|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 ||474||3
33|0|alexb|07/21/2001|00:47:19|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||854|5.5|4
102|0|cwilder|08/04/2001|00:23:27|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||469|5.42105263157895|3
107|0|Greg Viers (Guest)|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 ||320||0
108|0|alexb|08/05/2001|23:16:48|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||313||1
79|0|alexb|08/05/2001|09:18:49|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||494|5.46376811594203|1
106|0|robby|08/06/2001|17:24:49|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||313||1
28|0|Marvin Guinyu Chang (Guest)|08/12/2001|23:53:04|Kevin Bond (Guest)|Definition of degenerate|What does it mean to be %22degenerate%22 in a mathmatical sense%3F ||681|5.5|2
101|0|MarvinChang|08/12/2001|18:23:04|SR (Guest)|Simplification|what does this simplify out to be %5E%3Dexponent%0D%0A%0D%0A%28-b%5E2%29%5E2%2Fb-a||396|5.5|1
78|0|Greg Viers (Guest)|08/15/2001|01:27:02|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||620|5.5|3
111|0|alexb|08/22/2001|00:29:12|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||283||1
112|0|Liliya (Guest)|08/31/2001|22:01:10|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||396||3
115|0|alexb|09/15/2001|19:24:43|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||273||1
121|2|alexb|10/04/2001|12:53:30|Eric Rojemann|Triangular Coordinates|First let me say that I love your articles.  My favorite one was the Three Jugs Problem %28May 2000%29.  That is why I am writing you.  I am a senior ||258||1
119|3|alexb|10/04/2001|12:53:30|FrankP|Parabolas|I have a problem where the value of the integral from 1 to 7 of the function %281%2Bx%5E2%29%5E.5 must be determined. This was relatively easy.%0D%0A%||234||1
122|3|alexb|10/06/2001|11:41:04|Qurious|Limits|   I have been searching in a lot of maths books and I cannot find a decent explanation on finding the limits to certain functions of f%28x%29.%0D%0AS||385||4
123|3|alexb|10/06/2001|00:19:28|Roger webster|Geometry %2F Trig|A fellow system programmer gave me this problem 2 years ago.%0D%0A%28he couldn%27t solve it either%29I have continued working on it and feel I am clos||297||1
117|3|rohitw|10/09/2001|12:53:30|Billy|Discrete Math|My teacher gave the following problem%3A%0D%0ASuppose n mutually overlapping circles are drawn so that no three circles meet at a common point. How ma||272||1
124|0|alexb|10/11/2001|20:44:19|Parag Agrawal|homothety|Sir%0D%0AI am a student in the Indian Institute of Technology%2CBombay.I am preparing to make a exposition on HOMOTHETY.I have to start from the basic||285||1
126|0|Liliya|10/12/2001|14:47:36|boss5639|problem solving|Hi. I need your crptoarithmetics skills%21%0D%0A%0D%0AHere%27s the problem.%0D%0A    RYE %2B%0D%0A     BE%0D%0A  ____________%0D%0A    ARE%0D%0A   EAT||257||1
127|2|alexb|10/12/2001|18:07:29|PierreCharland|Geometry Morley%2C easy  Lemma|I have a problem solving an easy exercise taken from the book%0D%0A %28Over and Over Again%29 by %28Gengzhe Chang%2C Thomas W. Sederberg%29%0D%0A %28a||267||1
128|0|alexb|10/14/2001|22:41:33|Tuyen Pham|College|%5B Looking for proof of 1%2B1%3D2 %5D||273||1
132|3|louie|10/16/2001|22:17:34|louie|kirkman%27s 15 schoolgirls problem|i have looked many places for a solution to this problem%2C but i just can%27t find one anywhere.  if anyone knows a website or is able to scan me a c||232||0
133|4|alexb|10/18/2001|06:56:32|Peter Maj|Probability and Statistics|Im wondering if anyone knows of a solutions manual for the text below %3A %0D%0A%0D%0A%22Probability and Statistics for Engineering and the Sciences%2||228||1
134|2|alexb|10/19/2001|06:09:18|ted|shortest closed interval|hello%2C i need some help please%0D%0Agiven A is a subset of R be non empty%2C and bounded. prove there is a unique shortest closed interval containin||234||1
136|3|jp|10/27/2001|08:06:09|jp|linear programming problem|can%27t figure this out. please help.%0D%0Aan oil company has 200%2C000 barrels in kuwait%2C 150%2C000 in texas%2C and 100%2C000 in caracas. a custome||245||0
135|0|alexb|10/27/2001|22:49:21|Lynn|PIGEON HOLE PRINCIPLE|A six by six checkerboard with 36 squares can be covered by%0D%0A18 dominoes consisting of 2 squares each. Is it true that %0D%0Aevery such covering c||339||1
137|3|alexb|10/29/2001|15:31:04|mamadeleau|Mathematical proof|Can anybody help me with these proofs%3F%0D%0A1. Let S be a nonempty bounded set of the set of real numbers amd let m%3DsupS.Prove that m is a subset ||380||1
139|3|alexb|10/31/2001|06:36:45|Rinc|Complex conjugate|What%27s the complex conjugate of an expression of the form%0D%0A%0D%0A      Exp%28a - ib%29%3F||274||1
138|2|alexb|10/31/2001|15:50:36|jay ramsey|probability and counting|Does anyone know the connection between probability and counting%3F||250||1
141|0|Joe|11/01/2001|11:59:06|Joe|Round Robin Tournament|I have this problem. %28duh%29%0D%0A%0D%0AOk%0D%0A%0D%0AWe have a round robin tournament %28each player plays every other player%29.  SO far there hav||222||0
143|3|David Bromberg|11/03/2001|14:36:17|David Bromberg|All Permutations Algorithm|I was trying to adapt your code for the counting all permutations to my problem. My problem is that in a given list of say length 16 there are two of ||303||2
114|0|EdSmart|11/06/2001|19:30:52|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%||319||2
145|4|alexb|11/06/2001|08:15:41|EdSmart|Infinite series and Euler|I know that the sum to infinity of 1%2Fn%5E2 between the limits 1 and infinity is pi squared over six. I also know that it can be solved using a Fouri||304||3
147|2|alexb|11/06/2001|15:57:12|EdSmart|Regular and Irregular Primes|I conjectured%2C I thought%2C I proved.%0D%0A%0D%0ADoes anyone know what an irregular prime is%3F Or indeed for that matter what a regular prime is. C||240||1
149|3|alexb|11/07/2001|23:14:02|eborr|Triangle inequality|When %7Cz %2B w%7C %3D %7Cz%7C %2B %7Cw%7C  %3F%0D%0A||238||1
150|0|jon|11/12/2001|23:16:01|Whymme|Magic dice%3F|Is it possible to create a set of three %28six-sided%29 dice so that die A beats die B more than half the time%2C die B beats die C more than half the||251||1
142|3|jon|11/15/2001|06:42:13|Lucy|simplification|Could someone please simplify%3A%0D%0A      %0D%0A         csc%28arctan%28square root of x%29%29||261||1
152|3|alexb|11/15/2001|19:17:35|Danielle|Sangaku circle problem%21%21|I don%27t understand how to prove this problem.  If there are three circles%2C one with radius 5%2C another with radius 3 and a third tangent to both ||257||1
10|0|Richard Bradley|11/16/2001|10:38:09|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||759|5.50354609929078|2
153|3|alexb|11/17/2001|18:32:02|Refael|Group Theory Problem|G%3D%7Ba%281%29%2Ca%282%29%2C...a%28n%29%7D is an Abelic group %28i.e%2C x%2Ay%3Dy%2Ax for every x%2Cy in G%29. b%3Da%281%29%2Aa%282%29%2A...%2Aa%28n%||241||1
155|3|alexb|11/18/2001|13:46:50|Cathy Brown|Permutation Question|Can someone please help me with this question%3F thanks %0D%0A%0D%0AA binary operation %2A is defined on Z by m%2An %3D m %2B n -2%0D%0AProve that Z w||226||1
157|3|alexb|11/18/2001|15:15:46|Peter|Matrix multiplication|i have a problem%3A%0D%0Alet G %3D %7B%28 1 0 a %29%3Aa E Z%7D%0D%0A           0 1 0%0D%0A           0 0 1%0D%0AProve G forms a group under matrix mul||245||1
156|3|alexb|11/18/2001|15:15:46|Cathy Brown|Re%3A Permutation Question|Can someone please help me with this question%3F thanks %0D%0AA binary operation %2A is defined on Z by m%2An %3D m %2B n -2%0D%0AProve that Z with op||236||1
160|3|alexb|11/19/2001|10:27:02|Cathy Brown|Re%3A Permutation Question|Can someone please help me with this question%3F thanks %0D%0AA binary operation %2A is defined on Z by m%2An %3D m %2B n -2%0D%0AProve that Z with op||234||1
158|3|epster2|11/19/2001|15:41:27|epster2|Analysis Question|I need an example of two sequnces S%28n%29 and T%28n%29 with each S%28n%29 not equal to 0%2C S%28n%29 -%3E0%2C the sequence t%28n%29 is bounded but no||294||2
161|3|Cathy Brown|11/20/2001|11:56:07|Cathy Brown|Re%3APermutation Question|The operation %2A is defined for any two numbers m and n from Z.%0D%0A%0D%0AThe operation %2A is associative.%0D%0A%0D%0AThe operation %2A has a unit ||278||2
154|0|alexb|11/21/2001|13:46:50|BeeCee|Remaider Theory Application| Here%27s my problem%3A%0D%0A                    The remainder theorem states that%2C if f%28x%29 is divided by %28x-a%29 then the remainder is f%28a%||685||9
163|0|alexb|11/22/2001|17:37:16|BeeCee|Remainder Theorem II|   Thanks for your answer ......and I hope I%27ve done what you%27ve asked me to do.....start a new thread%2C i.e. I think this is what you meant.%0D%||352||3
165|0|alexb|11/23/2001|20:06:05|Rachel|GCD%2FMod arithmetic|Here%27s my question%3A I want to find the smallest pos. integer %0D%0Az such that the equation %0D%0A2001x %2B 1479y %3D 1000000 %2B z%0D%0Ahas solut||272||1
167|0|alexb|11/24/2001|08:27:46|Laserblue|Deriving a formula| Many of the questions regarding group theory%2Cmodular arithmetic%2C and mapping matrices are of interest to me because I have a practical mathematic||267||1
164|2|alexb|11/26/2001|07:37:40|alnoth|how do i solve for x%3F|hello%2C%0D%0A%0D%0Ai have come across a problem%2C which when i was trying to solve i ran into an equation that i am unable to solve. %28going to bac||529||6
168|3|alexb|11/26/2001|07:14:33|Lizzie|statistics|A mechanical aptitude test designed for entering college students has a mean of 1%2C000 and a standard deviation of 150.  An IQ test designed for coll||259||2
169|3|alexb|11/27/2001|10:51:25|EdSmart|A bold conjecture|I conjectured%2C I thought%2C I proved.%0D%0A%0D%0AI believe that the following expression is true but need assistance in being able to prove it.%0D%0||362||3
170|4|alexb|11/27/2001|12:14:47|EdSmart|The Great Erdos|I conjectured%2C I thought%2C I proved.%0D%0A%0D%0AErdos proved that for natural numbers n there is a prime between n and 2n. Could someone give me a ||280||1
171|0|alexb|11/27/2001|13:54:32|BeeCee|Right Angled Triangle| Hello Alex %21%0D%0A             The old ghost of Remainder Theorem is finally off my shoulders %21 Thanks for all the help. Now here%27s a new probl||316||1
172|3|alexb|11/28/2001|07:12:32|EdSmart|Roots of primes and irrationality|I conjectured%2C I thought%2C I proved.%0D%0A%0D%0AUsing the result that if p is a prime number and a and b are both integers that if p is prime and d||274||1
173|0|quodlibet|11/30/2001|23:04:46|Michelle|Fermats Thm%2FPhi Fcn|I want to find the smallest positive integer n such that%0D%0A5%5En %3D 1%28mod1024%29 and prove there is no smaller value that %0D%0Aworks.%0D%0A%0D%||297||2
175|2|Helix777|12/02/2001|18:33:28|Helix777|Brain Teaser|27 cents is the largest amount that connot be made using combinations of 5 and 8 cent stamps.  What is the largest amount that cannot be made by using||341||2
176|3|alexb|12/02/2001|21:07:20|Alice|Josephus Problem Using Maple|Firstly i just want to say that i have just found this site and it%27s wicked%21 %3B-%29%0D%0A%0D%0ASecondly%2C i have to do a project about Josephus ||335||1
151|0|Vujicic Bozur|12/03/2001|09:58:48|Bozur Vujicic|Bertrand%27s paradox|Dear Dr. Bogomolny%2C%0D%0A %0D%0A       I am sorry for taking Your precious time%2C but I am really convinced that this text is going to be very inte||972||8
177|0|alexb|12/03/2001|22:44:19|Stephen|mandelbrot set|hey alex%2C%0D%0A  %0D%0AI am a student at St. Andrews College and I am researching Mandelbrot Set ideas for my senior seminar project.  I am not tryi||272||1
159|0|Whymme|12/07/2001|17:46:34|Mark Seely|THE 30 NUMBERS PUZZLE|This is a brain teaser called %22Thirty Numbers.%22  It is a fun way to spend a few minutes.  Fair warning%2C though--you could end up spending the re||409||3
179|3|sus|12/09/2001|12:34:34|sus|college geometry|does anyone know how to sketch morley%27s theorem on geometer%27s sketchpad%3F please i need help fast||223||0
181|2|alexb|12/10/2001|00:51:05|davesj|N-gons|I%27m doing some research on n-gons%2C and was wondering if it is possible for an n-gon to have n%3Df%28x%29 sides.If so%2C what is an application tha||252||1
182|2|Eigenray|12/10/2001|14:03:53|gleason|Still don%27t understand|This question was on a math competition last spring%2C but I still am unable to understand the solution.%0D%0A%0D%0AFor 0 %3C x %3C 1%2C let f%28x%29 ||290||2
185|0|alexb|12/12/2001|21:04:02|Generic11281|Huntington Hill Voting Method|Hi%2C%0D%0A    I%27ve been working on a report for my Mathematics of the Liberal Arts class at college. I have tried searching all over the web for an||253||1
148|0|David Radcliffe|12/15/2001|00:50:58|epster2|Figuring a cycle of roman numerals|I have a journal problem for my math class and I dont know where to start. Can you please give me a direction. Here is the problem.%0D%0A%0D%0A%2A%2A%||309||1
188|4|Jacob Hou|12/16/2001|08:16:19|Jacob Hou|surfaces of constant mean curvature|Hi everyone%2C%0D%0A%0D%0A   Recently I studies differential geometry for my research work involving minimal surfaces.  I read Struik%27s book and he ||241||0
187|3|Paul R.|12/17/2001|00:50:44|Taylor|Random Walk|I was wondering if I could get some help on this problem-%0D%0ALet X1%2C X2%2C. . . . be i.i.d uniform random variables on %5B0%2C1%5D%2C T%3Dmin%7Bn%||253||1
186|4|Ravi|12/17/2001|08:57:32|Saurabh|Algebra|What is VBODMAS%3F||400||3
189|3|alexb|12/18/2001|20:15:06|Pamela|recurrance relation|I have a recurrance relation I%27m trying to find a closed form solution for.  I don%27t know if I can use difference equations to solve it or not.  T||269||1
190|2|fraznoid|12/21/2001|12:25:23|Helix777|Indefinite Integration Help|Try as I might%2C I cannot figure out how to indefinitely integrate the following function using variable substitution %28or any other analytic means%||269||2
178|0|gwildenbe|12/21/2001|08:40:44|BeeCee|Number of Digits| Here%27s a problem....and I%27m absolutely clueless about this one%2C otherwise I%27d have loved to show my approach.%0D%0A%0D%0A What is the number ||445||2
191|0|Georgios|01/10/2002|16:28:28|georgios|martingales|Who was the first to use the word martingale to denote a certain type of stochastic process and why was it that this particular word was chosen%3F %0D||382||4
192|0|alexb|01/11/2002|14:58:38|Georgios|Martingale and Markov property|I am an economist studing in part time some stochastic analysis and I am wondering about the relation between Markov and Martingale property in a stoc||400||3
193|0|alexb|01/15/2002|08:42:21|Lei Wang|A question about geometry.|My question is %3A If Projective geometry is same as Non-Euclidean geometry%3F||241||1
194|3|John|01/20/2002|06:55:14|Aaron Fetty|Mathematical Riddle|There are 1 million apples in a pile. Day number 1%3A 1 person takes 1 apple and goes home%0D%0Aand calls a friend that lives 2 days away to came and ||394||5
180|3|Phildonnics|01/22/2002|00:01:31|hegel522|One-dimensional cut list|Given an inventory of equal length bars and a random assortment of lengths to be cut from that inventory%2C is there an algorithm which will allow me ||400||5
196|0|alexb|01/22/2002|16:52:01|PAR|Positive definiteness|In portfolio management the Variance-Covariance matrix is square and symmetric.%0D%0AThe variance of the returns of a portfolio given a weight vector%||253||1
183|3|Scott Brodie|01/28/2002|20:51:14|pandora|Catenary and Parabolas|I%27ve been given 3 points%2Fdimensions for 2 curves%2C one catenary and one a parabola.  How do I figure out the equation of these curves knowing onl||353||2
197|0|SirVLCIV|01/29/2002|09:18:03|sulphur|Number sequence|This is related to Primes.%0D%0A6%2C17%2C10%2C34%2C%3F%2C%3F%2C%3F%2C%3F%0D%0AAny ideas would be appreciated.%0D%0AThanks||230||1
198|0|alexb|01/29/2002|16:22:03|Tongpoo|A concurrency generalization.|%5Bu%5DConjecture%3A%5B%2Fu%5D Let ABC be a triangle.%0D%0A%0D%0AErect on AB%2C an isosceles AC%27B%2C so that length AC%27 %3D length BC%27.%0D%0Acon||299||3
199|2|alexb|01/29/2002|14:53:32|Tammy|Lib. Arts Math II|I am needing to convert 7A9 to base 10 and check my answer by converting it back to base 11.  How do I do this%3F||211||1
200|3|alexb|02/01/2002|07:37:29|Joey|Barycentric Coordinates|Refering to%0D%0A%0D%0Ahttp%3A%2F%2Fwww.cut-the-knot.com%2Ftriangle%2Fbarycenter.html%0D%0A%0D%0AI do not quite understand the following lines%3A%0D%0||323||1
201|2|Tongpoo|02/05/2002|23:18:26|Jiitee|Fermat%27s Last|Hi Folks%2C%0D%0A%0D%0AI think Fermat%27s Last Theorem was just a special case of another Hartikainen Theorem%3A%0D%0A%22equation a1%28to n%29%2Ba2%28||258||2
205|2|alexb|02/08/2002|14:18:38|Rob Dog|Tricky Brain Teaser|Here is a brain teaser a prof gave me that has been troubling me for days%21%21%21  I think you guys might like it.%0D%0A%0D%0AThere are two guys%2C o||314||1
204|2|alexb|02/08/2002|07:08:40|lucifer smiles|matrices and etc...|hi%0D%0A i am working on distributed computing related to math. i have 2 problems to implement..%0D%0A%0D%0A1. can inversing a big matrix say %5B5000%||215||1
206|0|bacher|02/09/2002|11:52:03|bacher|Polynomials and squares|Let P denote a polynomial with the property that P%28a%29 is a rational square for any rational number a. Does this imply that P is a squared polynomi||201||0
207|0|S. Ram|02/11/2002|16:05:33|S. Ram|Constructing an efficient function|Input%3A n%2C a positive integer%0D%0A%0D%0APreliminaries%3A%0D%0A%0D%0Am %3D n%21%0D%0AN %3D m   %28n - 1%29%0D%0A%0D%0AA %3D %7B 1%2C 2%2C ... N %7D||189||0
213|2|ruiner|02/17/2002|23:04:01|ruiner|Differentiability|I was flipping through a math book and hoped onto differentiability. I was wondering how one would prove something like xyz%2F%28x%5E2%2By%5E2%2Bz%5E2||339||0
209|3|eNoKi|02/18/2002|16:22:36|Shaun|Ten guesses|The problem goes like this.%0D%0AI think of a number between 1 and 1000.  You try to guess the number%2C and for each guess I ||214||