mm-310 === Subject: : Macsyma does still exist as open source Maxima Macsyma was for years a very good Cas system.It is now open source under the name Maxima.> http://maxima.sourceforge.net/index.shtmlIt is available for Windows and all plattforms supporting an X server(like Linux or Macos X).The problem is, that the project needs some talented mathematicians.Otherwise it will stand as it's current stage is. The people whomaintain it now seem unable to implement e.g. the Zeilberger Algorithm.When talented mathematicians will send some time on it, that project hasa very great potential.This is the reason why I decided to mention the existence of thisprogram here for reading. === Subject: : Re: Macsyma does still exist as open source Maxima> Macsyma was for years a very good Cas system.One of the best; maybe the best.> It is now open source under the name Maxima.> http://maxima.sourceforge.net/index.shtmlThis is different than the commercial Macsyma. Maxima and Macsyma are both based on the same program, butdiverged a while back.> The problem is, that the project needs some talented mathematicians.> Otherwise it will stand as it's current stage is. The people who> maintain it now seem unable to implement e.g. the Zeilberger Algorithm.The project has some very talented people working on it.However, there's a lot to Maxima, and the people who are working onit are doing it on their own time. So not everything is going to betaken care of right away.Of course, if more people wanted to do some work on it, I'm suretheir contributions would be welcome.Jay === Subject: : Re: Helping Johnny to find his ideal woman (a problem in Set Theory, and Mathematica)y>>Johnny is looking for his ideal girfriend, [question truncated -- last word assumed to be girlfriend.] As John and his bride commute down the aisle, guests will seeright and left identities, but ring theory ensures they are one and the same.-- Wanted: Experts at choosing the best of 100+ applicants for a position.Register as a California voter by September 22, and vote on October 7. Peter-Lawrence.Montgomery@cwi.nl Home: San Rafael, California Microsoft Research and CWI === Subject: : Re: Helping Johnny to find his ideal woman (a problem in Set Theory, and Mathematica)> The following is a Set Theory Problem, that I have attempted to solve> using the standard, Mathematica set theoretic tools (i.e. Union,> Intersection,> and Complement). This is NOT an assignment, nor task due of any sort.> I'm simply curious about the manner in which a problem like this can be> solved, using Mathematica, not knowing if the above mentioned tools are> enough to solve it, or if fancier tools are needed.> Here is the problem:Johnny is looking for his ideal girfriend, which (according to him; and> not meantto favor any preconceived biases) must be red-haired, green-eyed, slender,> and tall.He knows four women: Adele, Betty, Carol, and Doris.Here is a list of caveats:0. Only one of the four women has all four characteristics that Johnny> requires.> 1. Only three of the women are both green-eyed and slender.2. Only two of the women are both red-haired and tall.3. Only two of the women are both slender and tall.4. Only one of the women is both green-eyed and red haired.5. Adele and Betty have the same color eyes.6. Betty and Carol have the same color hair.> 7. Carol and Doris have different builds.8. Doris and Adele are the same height.> Which one of the four women satisfies all of Johnny's requirements?Your assistance in solving this problem using the Mathematica softwarewill be greatly appreciated! * colour of hair is black, red or blonde * colour of eye is brown or green * build is plump or slender * height is short, average or tallI have used a rule engine called Jess (Please see http://herzberg.ca.sandia.gov/jess/docs/index.shtml) to work out all the possible solutions. Jess is more suitable for solving this kind of problemthan say C++ or Java.The possible solutions are as follows.(The Jess script that produces the following is athttp://uk.geocities.com/~matmsh/homepage/jess/ idealGirlFriend/idealGirlFriend.html.)name | eye hair build height----------------------------------Adele |green red slender tallBetty |green blonde slender tallCarol |green blonde slender shortDoris |brown red plump tall name | eye hair build height----------------------------------Adele |green red slender tallBetty |green blonde slender shortCarol |green blonde slender tallDoris |brown red plump tall name | eye hair build height----------------------------------Adele |green red slender tallBetty |green blonde slender averageCarol |green blonde slender tallDoris |brown red plump tall name | eye hair build height----------------------------------Adele |green red slender tallBetty |green blonde slender tallCarol |green blonde slender averageDoris |brown red plump tall name | eye hair build height----------------------------------Adele |green red slender tallBetty |green black slender shortCarol |green black slender tallDoris |brown red plump tall name | eye hair build height----------------------------------Adele |green red slender tallBetty |green black slender tallCarol |green black slender shortDoris |brown red plump tall name | eye hair build height----------------------------------Adele |green red slender tallBetty |green black slender averageCarol |green black slender tallDoris |brown red plump tall name | eye hair build height----------------------------------Adele |green red slender tallBetty |green black slender tallCarol |green black slender averageDoris |brown red plump tallSo Adele is the only one that meets the required.regards Shing === Subject: : Re: Helping Johnny to find his ideal woman (a problem in Set Theory, and Mathematica)> The following is a Set Theory Problem, that I have attempted to solve>> using the standard, Mathematica set theoretic tools (i.e. Union,>> Intersection,>> and Complement). This is NOT an assignment, nor task due of any sort.>> I'm simply curious about the manner in which a problem like this can be>> solved, using Mathematica, not knowing if the above mentioned tools are>> enough to solve it, or if fancier tools are needed.>> Here is the problem:>> Johnny is looking for his ideal girfriend, which (according to him; and>> not meant>> to favor any preconceived biases) must be red-haired, green-eyed,>> slender, and tall.>> He knows four women: Adele, Betty, Carol, and Doris.>> Here is a list of caveats:>> 0. Only one of the four women has all four characteristics that Johnny>> requires.>>> 1. Only three of the women are both green-eyed and slender.>> 2. Only two of the women are both red-haired and tall.>> 3. Only two of the women are both slender and tall.>> 4. Only one of the women is both green-eyed and red haired.>> 5. Adele and Betty have the same color eyes.>> 6. Betty and Carol have the same color hair.>>> 7. Carol and Doris have different builds.>> 8. Doris and Adele are the same height.>>> Which one of the four women satisfies all of Johnny's requirements?>> Your assistance in solving this problem using the Mathematica software>> will be greatly appreciated! * colour of hair is black, red or blonde> * colour of eye is brown or green> * build is plump or slender> * height is short, average or tall> I have used a rule engine called Jess (Please seehttp://herzberg.ca.sandia.gov/jess/docs/index.shtml> )> to work out all the possible solutions.> Jess is more suitable for solving this kind of problem> than say C++ or Java.> The possible solutions are as follows.> (The Jess script that produces the following is athttp://uk.geocities.com/~matmsh/homepage/jess/ idealGirlFriend/idealGirlFriend.html.)> name | eye hair build height> ----------------------------------> Adele |green red slender tall> Betty |green blonde slender tall> Carol |green blonde slender short> Doris |brown red plump tall> name | eye hair build height> ----------------------------------> Adele |green red slender tall> Betty |green blonde slender short> Carol |green blonde slender tall> Doris |brown red plump tall> name | eye hair build height> ----------------------------------> Adele |green red slender tall> Betty |green blonde slender average> Carol |green blonde slender tall> Doris |brown red plump tall> name | eye hair build height> ----------------------------------> Adele |green red slender tall> Betty |green blonde slender tall> Carol |green blonde slender average> Doris |brown red plump tall> name | eye hair build height> ----------------------------------> Adele |green red slender tall> Betty |green black slender short> Carol |green black slender tall> Doris |brown red plump tall> name | eye hair build height> ----------------------------------> Adele |green red slender tall> Betty |green black slender tall> Carol |green black slender short> Doris |brown red plump tall> name | eye hair build height> ----------------------------------> Adele |green red slender tall> Betty |green black slender average> Carol |green black slender tall> Doris |brown red plump tall> > name | eye hair build height> ----------------------------------> Adele |green red slender tall> Betty |green black slender tall> Carol |green black slender average> Doris |brown red plump tall> So Adele is the only one that meets the required.> regards> ShingOohs ! I have given an invalid to the Jess script in my last email. Here isthe correct link :http://uk.geocities.com/matmsh/jess/idealGirlFriend/ idealGirlFriend.htmlShing === Subject: : Subgroup of O(2)?Show that the set of all elements a in O(2) (orthogonal group) where ahas finite order is not a subgroup of O(2).How should I think in order to prove it? To me the negation of thestatement seems more plausible. / for any help! === Subject: : Subgroup of O(2)?Show that the set of all elements a in O(2) (orthogonal group) where ahas finite order is not a subgroup of O(2).How should I think in order to prove it? To me the negation of thestatement seems more plausible. / for any help! === Subject: : Re: Subgroup of O(2)?> Show that the set of all elements a in O(2) (orthogonal group) where a> has finite order is not a subgroup of O(2).> How should I think in order to prove it? To me the negation of the> statement seems more plausible.> / for any help!Try to find two elements of order 2 whose product has infinite order. Hint:Every rotation is the product of two reflections. === Subject: : derivative for polar coordinateIf x=rcos(t), y=rsin(t)why dxdy=rd(t)dr??I can only think of that dy/dt=rcos(t)dx/dr=cos(t), then dy/dt=rdx/drI cannot come out with this result: dxdy=rd(t)dr === Subject: : Re: derivative for polar coordinateIn sci.math.symbolic, Paula:> If x=rcos(t), y=rsin(t)> why dxdy=rd(t)dr??I can only think of that dy/dt=rcos(t)> dx/dr=cos(t), then > dy/dt=rdx/dr> I cannot come out with this result: dxdy=rd(t)drdA = dxdy, a small square rectangle.However, dA = r dr dtheta, as that's a pie frustrum, dependent on r.-- #191, ewill3@earthlink.netIt's still legal to go .sigless. === Subject: : Re: derivative for polar coordinateNote also that dxdy = dr d theta * JacobianThe Jacobian is r (just take the determinant and use cos^2 + sin^2 = 1)You can lead a horse's ass to knowledge, but you can't make him think. === Subject: : Re: derivative for polar coordinate> If x=rcos(t), y=rsin(t)> why dxdy=rd(t)dr??I can only think of that dy/dt=rcos(t)> dx/dr=cos(t), then > dy/dt=rdx/dr> I cannot come out with this result: dxdy=rd(t)drThe r factor is the Jacobi determinant of your variable transformation.In Maple notation:> x:=(r,t)->r*cos(t): y:=(r,t)->r*sin(t):> VectorCalculus:-Jacobian([x(r,t),y(r,t)],[r,t]); [cos(t) -r sin(t)] [ ] [sin(t) r cos(t) ]> LinearAlgebra:-Determinant(%); 2 2 cos(t) r + r sin(t) > simplify(%); r-- Thomas RichardMaple SupportScientific Computers GmbHhttp://www.scientific.de === Subject: : Re: derivative for polar coordinate> If x=rcos(t), y=rsin(t)> why dxdy=rd(t)dr??There are two answers here. The first is for you to read about change ofvariables in double integrals, which is what this is about. To make senseof this much of it, though, think about what the dxdy means in a doubleintegral. It is the infinitesimal area of a little square in thexy-plane -- multiplied by the function you are integrating to get theintegral; the volume under the graph. Switching to polar coordinatesyou have to compute that same volume under the graph, but the area of thelittle region in the xy-plane swept out by changing r by a small amountdf, and t (theta) by a small amount dt, will not be dr dt, it will alsodepend on how far from the origin it is, and the value will be (to firstorder) r dr dt.-- David L. Johnson __o | Business! cried the Ghost. Mankind was my business. The _`(,_ | common welfare was my business; charity, mercy, forbearance, (_)/ (_) | and benevolence, were, all, my business. The dealings of my trade were but a drop of water in the comprehensive ocean of my business! --Dickens, A Christmas Carol === Subject: : Vector notation for polynomialsI've been looking at a vector based representation of a second order polynomial. I wondered if it is possible to represent higher order polynomials in the same way?I cant see a straight-forward extension to 3rd order for example, if there is one.This is the seond order representation:f(x) = x'Ax+b'x+cWhere:a' is the transpose of a.x is a vectorA is a symettric matrixb is a vectorc is a scalarCan anyone help out???! === Subject: : Re: Vector notation for polynomials>I've been looking at a vector based representation of a second order>polynomial. >I wondered if it is possible to represent higher order polynomials in>the same way?>I cant see a straight-forward extension to 3rd order for example, if>there is one.>This is the seond order representation:>f(x) = x'Ax+b'x+cThe gadget you want for degrees 3 and up is called a tensor.Robert Israel israel@math.ubc.caDepartment of Mathematics http://www.math.ubc.ca/~israel University of British Columbia Vancouver, BC, Canada V6T 1Z2 === Subject: : Make thousands fast and easy! by support1.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) with ESMTP id h8N1b8B20897 by legacy.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.10 $, legacy) id h8N1b8S23585Re: Make Money Fast and Easy$$$Posted by phyllis m. whiddon on July 18,19103 at 21:46:47:In Reply to: Re: Make Money Fast and Easy$$$ posted by phyllis m.whiddon on July 18, 19103 at 21:17:47: Make Money Fast and Easy$$$Posted by Brook on June 03, 19103 at 14:59:13:$MAKE LOTS OF QUICK CASH THE EASY WAY$$ Dear Internet User, earned an ASTOUNDING amount of money in less than a month and I'vedecided to share or reveal the secrets behind making big bucks in theMail Order Business. So all money seekers, read this carefully.**READING THIS COULD CHANGE YOUR LIFE!** I found this on a bulletin board like this one and decided to try it.A little while back, I was browsing through several newsgroups, justyou could make thousands of dollars within weeks with only an initialinvestment of $6.00! So I thought, Yeah right, this must be a scam,but like most of us, I was curious, so I kept reading. Anyway, it saidthat you need to send $1.00 to each of the 6 names and address stated(There are thousands) No catch, that was it. So after thinking itover, and talking to a few people first, I thought about trying it. Ifigured: what have I got to lose except 6 stamps and $6.00, right?Then I invested the measly $6.00. Well GUESS WHAT!!... within 7 days,I started getting money in the mail! I was shocked! I figured it wouldend soon, but the money just kept coming in. In my first week, I madeabout $25.00. By the end of the second week I had made a total of over$1,000.00! In the third week I had over $10,000.00 and it's stillgrowing. This is now my fourth week and I have made just over$42,000.00 and it's still coming in rapidly. It's certainly worth$6.00, and 6 stamps, I have spent more than that on the lottery!! Letme tell you how this works and most importantly, why it works....the information off of it as you need it. I promise you that if youfollow the directions exactly, that you will start making more moneythan you thought possible by doing something so easy! SUGGESTION: Readthis entire message carefully! (print it out or download it.) Followthe simple directions and watch the money come in! It's easy. It'slegal. And, your investment is only $6.00 (Plus postage). IMPORTANT:This is not a rip-off; it is not indecent; it is not illegal; and itis virtually no risk - it really works!!!! If all of the followinginstructions are adhered to, you will receive extraordinary dividends.PLEASE NOTE: Please follow these directions EXACTLY, and $50,000 ormore can be yours in 20 to 60 days. This program remains successfulbecause of the honesty and integrity of the participants. Pleasecontinue it?s success by carefully adhering to the instructions. Youwill now become part of the Mail Order business. In this business yourproduct is not solid and tangible, it's a service. You are in thebusiness of developing Mailing Lists. Many large corporations arehappy to pay big bucks for quality lists. However, the money made fromthe mailing lists is secondary to the income which is made from peoplelike you and me asking to be included in that list.========================================== -->HERE ARE 4 EASY STEPS TOGET STARTED<-- STEP 1: Get 6 separate pieces of paper and write thefollowing on each piece of paper PLEASE PUT ME ON YOUR MAILING LIST.Now get 6 US $1.00 bills and place ONE inside EACH of the 6 pieces ofpaper so the bill will not be seen through the envelope ( Please makesure that the bill wouldn't be noticed in the envelope to preventthievery). Send out US $ DOLLAR, so it would be more acceptable. STEP2: Next, place one paper in each of the 6 envelopes and seal themproperly. You should now have 6 sealed envelopes, each with a piece ofpaper stating the phrase, PLEASE PUT ME ON YOUR MAILING LIST., yourname and address, and a $1.00 bill. What you are doing is creating aservice. THIS IS ABSOLUTELY LEGAL! You are requesting for a legitimateservice and you are paying for it! Like most of us, I was a littleskeptical and a little worried about the legal aspects of it all. So Ichecked it out with the U.S. Post Office (1-800-725-2161) and theyconfirmed that it is indeed legal! Mail the US$6.00 to the followingaddresses:1)James Small4690 Sierra StRiverside CA925042) Brandon Corbin307N Church StLancaster PA176033) Lierin QuinnP.O. Box 242Bausman PA175044) L MiddlebrookP.O. Box 2079Beaverton OntarioCanadaL0K 1A05) Phyllis M Whiddon256, JD RoadDeRidder LA 706346) D Goldring1368 Kenton RoadParkville Maryland21234STEP 3: Now take the #1 name off the list that you see above, move theother names up (6 becomes 5, 5 becomes 4, etc...) and add YOUR Name as(I think there are close to 2.4million groups) All you need is 200,but remember, the more you post, the more money you make! This isperfectly legal! If you have any doubts, refer to Title 18, Section1302 and 1341, US Postal and Lottery Laws or Title 18, Section 3005 inthe US code, also in the code of Federal regulations, Volume 16,Sections 255 and 436, which states; a product or service must beexchanged for money received. The simple note in the letter, PLEASEPUT ME ON YOUR MAILING LIST, makes it legal because you are payingfor exchange of a service, (adding the purchasers name to his mailinglist) for a $1.00 fee. IMPORTANT: Keep a copy of these steps foryourself and, whenever you need money, you can use it again, andagain. PLEASE REMEMBER that this program remains successful because ofthe honesty and integrity of the participants and by their carefullyadhering to the directions. Look at it this way. If you are ofintegrity, the program will continue and the money that so many othershave received will come your way. NOTE: You may want to retain everyname and address sent to you, either on a computer or hard copy andkeep the notes people send you. This VERIFIES that you are trulyproviding a service. (Also, it might be a good idea to wrap the $1bill in dark paper to reduce the risk of mail theft.) So, as each postis downloaded and the directions carefully followed, six members willbe reimbursed for their participation as a List Developer with onedollar each. Your name will move up the list geometrically so thatwhen your name reaches the #1 position you will be receiving thousandsof dollars in CASH!!! What an opportunity for only $6.00 ($1.00 foreach of the first six people listed above) Send it now, add your ownname to the list and you're in business!=============================================== -->DIRECTIONS FOR HOWTO POST TO NEWSGROUPS<-- Step 1) You do not need to re-type thisentire letter to do your own posting. Simply put your mouse cursor atthe beginning of this letter, click and drag your cursor to the bottomof this document, right click and select 'copy' from the edit menu.This will copy the entire letter into the computer's memory. Step 2)Open a blank 'notepad' file and place your mouse cursor at the top ofthe blank page. Right click and from the 'edit' menu select 'paste'.This will paste a copy of the letter into notepad so that you can addyour name and postal address to the list. Step 3) Save your newnotepad file as a .txt file. If you want to do your postings indifferent settings, you'll always have this file to go back to. Step4) Use Netscape or Internet explorer and try searching for variousnewsgroups (on-line forums, message boards, chat sites, discussions.)message by highlighting the text of this letter and selecting paste from the edit menu. Fill in the === Subject: , this will be the header thateveryone sees as they scroll through the list of postings in aparticular group, click the post message button. You're done withyour first one! Congratulations...THAT'S IT! All you have to do isjump to different newsgroups and post away, after you get the hang ofit, it will take about a minute for each newsgroup! **REMEMBER, THEMORE NEWSGROUPS YOU POST IN, THE MORE MONEY YOU WILL MAKE!! BUT YOUHAVE TO POST A MINIMUM OF 200** That's it! You will begin receivingmoney from around the world within days! You may eventually want torent a P.O.Box due to the large amount of mail you will receive. Ifyou wish to stay anonymous, you can invent a name to use, as long asthe postman will deliver it. **JUST MAKE SURE ALL THE ADDRESSES ARECORRECT.** ======================================= *Now the WHY part;Out of 200 postings, say I receive only 5 replies (a very lowexample). So then I made $5.00 with my name at #6 on the letter. Now,each of the 5 persons who just sent me $1.00 make the MINIMUM 200postings, each with my name at #5 and only 5 persons respond to eachof the original 5, that is another $25.00 for me, now those 25 eachmake 200 MINIMUM posts with my name at #4 and only 5 replies each, Iwill bring in an additional $125.00! Now, those 125 persons turnaround and post the MINIMUM 200 with my name at #3 and only receive 5replies each, I will make an additional $626.00! OK, now here is thefun part, each of those 625 persons post a MINIMUM 200 letters with myname at #2 and they each only receive 5 replies, that just made me$3,125.00!!! Those 3,125 persons will all deliver this message to 200newsgroups with my name at #1 and if still ONLY 5 persons per 200newsgroups react I will receive $15,625,00! With an originallist, you just take the latest posting in the newsgroups, and send outanother $6.00 to names on the list, putting your name at number 6again. And start posting again. The thing to remember is: do yourealize that thousands of people all over the world are joining theSo, can you afford $6.00 and see if it really works?? I think so...People have said, what if the plan is played out and no one sends youthe money? So what! What are the chances of that happening when thereare tons of new honest users and new honest people who are joining theinternet and newsgroups everyday and are willing to give it a try?Estimates are at 20,000 to 50,000 new users, every day, with thousandsof those joining the actual internet!!! REMEMBER, PLAY FAIRLY ANDHONESTLY AND THIS WILL WORK FOR YOU!!! GOOD LUCK to all and pleaseplay fairly and reap the huge rewards from this, which is tons ofextra CASH. By the way, please DON'T try to deceive people by postingthe messages with your name in the list and not sending the CASH tothe rest of the people already on the list, you will NOT get any. Thisis the fairest and most honest way I have ever seen to share thewealth of the world without costing anything but our time!!! You alsomay want to buy mailing and e-mail lists for future cash. Make sureeveryone that sends you CASH and always keep an eye on the newsgroupsto make sure everyone is playing fairly. Remember, HONESTY IS THE BESTinstant cash?), please pass this message to anyone who wishes quickmoney. Thank you so much. ======================================= Responses:Re: Make Money Fast and Easy$$$ Alex 12:14:28 7/01/103 (0) Re: Make Money Fast and Easy$$$ clodhopper 15:14:49 6/03/103 (1) CHECK THIS OUT HERE 20:42:07 7/05/103 (0) Post A New Response:Name: E-Mail: === Subject: : Message:Link URL: Link Title: Image URL: Current Message Board | Help Responses:HEY MAKE MONEY HERE! RICH 02:22:14 8/09/103 (0) Re: Make Money Fast and Easy$$$ JC 18:42:29 8/04/103 (0) Re: Make Money Fast and Easy$$$ Kevin Bomysoad 16:45:02 8/03/103 (0) Re: Make Money Fast and Easy$$$ chad 05:12:19 7/29/103 (0) Have you ever made $42000 in only 6 weeks J Willard 11:52:54 7/24/103(0) Post A New Response: Name: E-Mail: === Subject: : Message: Link URL: Link Title: Image URL: Current Message Board | Help === Subject: : New Versions of Fermat; Linux and Unix too by support1.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) with ESMTP id h8PJrse20369 by legacy.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.10 $, legacy) id h8PJrph14810A new version of the computer algebra system Fermat has been posted tothe web site, www.bway.net/~lewis Along with Windows and Mac, there are also, at last, versions forLinux and Unix. I would appreciate feedback on how these are working.Robert H. LewisMathematics DepartmentFordham UniversityNew York City === Subject: : [FYI] New better Maple versions: step 1 of 3 by support1.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) with ESMTP id h8Q031e06186 by legacy.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.10 $, legacy) id h8Q02rB15896Good Day,Do you want to enjoy a math correct, fast and powerful Maple?A rhetorical question.Industrial modelling, R&D projects, teaching and some otherfields would benefit much from new better Maple versions.To bring them into being is a very difficult goal whichMaplesoft seems to be unable to reach solo - judging fromits 20+ years experience; in the future we will write areview on the topic.Yet the said goal can be achieved in 3 major steps; later wewill explain this in detail at http://www.cybertester.com/coming soon and several our other servers under development.As the first step to reach this goal, within 10 days we willopen officially the sketch of the first free public Maple bugdatabase http://maple.bug-list.org/ which will describe inthe after months the minimal samples of thousands distinctMaple bugs in hundreds functions.The overwhelming majority of these bugs has been identifiedby our GEMM automated testing machine, Genuine Error Monitorfor Maple http://www.cas-testing.org/ .Several hours ago, Maplesoft announced about 9.02 download; see some bugs data in 9.02 within 10 days or earlier.Onward,Vladimir BondarenkoGEMM architectCo-founderCyber Tester, LLC === Subject: : total integration in maple by support1.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) with ESMTP id h8S5MBe04668 by legacy.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.10 $, legacy) id h8S5MBT01136hi, i'm working on a maple worksheet that required downloading theTDTools by Ross Taylor. I've downloaded it and running it but i cannot seem to get the Tint funtion to work... any suggestions??? === Subject: : Re: total integration in maple> i'm working on a maple worksheet that required downloading the> TDTools by Ross Taylor. I've downloaded it and running it but i can> not seem to get the Tint funtion to work... any suggestions???You need to provide more details:Which Maple version?What does can not seem to get the Tint function to work exactly mean?What did you enter, what output did you expect, what output do you get?BTW: the comp.soft-sys.math.maple group is more appropriate for suchquestions.-- Thomas RichardMaple SupportScientific Computers GmbHhttp://www.scientific.de === Subject: : Re: ANN: Mona - Symbolic Analog Circuit AnalyzerOn Nov 19, 1999, I posted a link to linear state variable code for this problem also.Dan Stanger> Press Release> Mona - Symbolic Analog Circuit Analyzer> Mona's unique symbolic capability allows for users to obtain expressions for voltages and currents in terms of other circuit variables. This functionality is extremely useful yet not available in other so-called circuit simulators. Students specially will appreciate the insightful knowledge obtained by using this feature.> Mona provides a very intuitive and easy to use schematics capture editor where users can draw any linear analog circuit from any textbook. The editor provides support for element rotation as well as multi-segment wires. This is the first such application to have these features in a handheld device.> Bazzarella, CEO of Poliplus Software comments Mona continues our push to show the world what kinds of powerful applications are possible on a handheld device today. These devices can and should be used for a lot more than simple applications. Poliplus Software is a leader in the development of powerful applications for handheld devices and will continue to release noticeable applications in the near future.> For a complete list of features (with lots of screen shots) and more information go to: http://www.poliplus.com/handheldproducts.htm> About Poliplus Software> Poliplus Software is an innovative developer of non-trivial, feature rich applications for handheld devices. Poliplus' comprehensive suite of applications in the fields of Mathematics, Science and Engineering add tremendous value to handheld devices. All of our products are developed in 100% pure Java using various standard profiles including MIDP, PersonalJava, JavaSE and JavaEE. For more information please visit www.poliplus.com.> -30-> Contact:> Rafael Bazzarella> Poliplus Software> rbazza@poliplus.com === Subject: : Re: Tricky Integral>>I have a definite integral to solve for a research problem which has >>stumped me. Can anyone please advise of a way of solving this.>>Integrate[Exp[-(x-(Sin[t]+Cos[t]))^2],{t,0,Pi/2}]>>Paul ,I suggest you a statistical approach. [I use mathematica too]When plotting the integral one can see that it looks like a bell-curve, so it could be useful to perform a nonlinear regression.< {BestFitParameters, EstimatedVariance}] {BestFitParameters -> {a -> 1.54691, m -> 1.27382, s -> 1.01547}, EstimatedVariance -> 6.275*^-8}Estimated error variance seems to be quite good, so the integral is very close to 1.54691*Exp[-(x-1.27382)^2/1.01547^2 I hope this will help you---jcp === Subject: : Re: Tricky IntegralIn sci.math.symbolic, Paul Calverley:> Ron, and you're right I have attempted> to apply integration by parts and it is complicated.> I don't know the antiderivative of Exp[-xsin(t)] which> is required when using int. by parts.> I will keep up the search. I could always get a numerical> result from MATHCAD...Cheers,Uh, I'm not Ron; that's the previous poster. :-)But you're welcome anyway. :-) Note the alignment ofthe chevrons ('>>').> In sci.math.symbolic, Ronald Bruck>> [snip for brevity]>>Exp(-x) * Integrate[Exp[(Sin[t]+Cos[t])^2],{t,0,Pi/2}]>Problem is, of course, that the x is INSIDE the square.>> Whoops, so it is! Of course you can still expand and>> Good luck. (You may need it with that integrand. :-) )>--Ron Bruck>-- #191, ewill3@earthlink.netIt's still legal to go .sigless. === Subject: : PhD scholarship in GeoSyntaxInterested in a PhD in the new field of GeoSyntactic modelling withthe CSIRO in Australia ?Check out the website:http://www.cmis.csiro.au/bi/recruitment/GeosyntaxPhD/ PhD-SyntacticAnalysis.htmTopic:*Application of context-sensitive grammar to the analysis ofgeological sedimentation sequences and natural language === Subject: : Re: PhD scholarship in GeoSyntaxSelection Criteria:mathematics or science. especially special understanding required inEinstein 's schizophrenic SR and GR Theories b.. Expect to receive an Australian Postgraduate Award or equivalentUniversity scholarship for PhD, and accept of course that worthless piece of ! c.. Be an Australian citizen or permanent resident and those who likeTurcaud sent such citizenship to the dogs are excluded of course d.. Australian Mining Pioneer Turcaud 's application excluded absolutely e.. Ability in mathematical model building, since indeed a perfect RIRO( rubbish in rubbish out ) system, and therefore we can anticipate whatwe'll get f.. Computer programming skills, for same reason as above, sincedevelopment of models will be fully controlled and conclusion anticipated g.. Beuuuuliever in Glaciations, Paleo Glacial Climates, ContinentalRafting, Orogenesis in Solid Phase, Erosion modelled Relief, Uniformism andTransformism, Millionzzz of years datation scale; Constant atomic decayrate; h.. Accepting without questioning scientific dogmas like the creation ofEarth on present orbit, the Law of Universal Attraction, the synchronism ofcreation all Solar system planets, the Grand Boum Theory of MonsieurL'abb.8e Georges Lemaire + all the other Gogological idiocies i.. Completely oblivious to the genesis of Oil, Coal and Water and takingit for granted the fossil origin of both Oil and Coal and Water being thereat Creation time j.. Prepared to refute and battle nails and teeth the True Geologyunderstanding of True Geologist genius Jean-Paul Turcaud ! Especially theUPL* which is the corner stone of the True Geology indeedContact: Prof. Daniel McMichael, CSIRO ICT Centre, Urrbrae, South Australia. Daniel.McMichael@csiro.au Tel: +61 8 8303 8773THE LOB :;;; and that alone would kill me indeed !UPL Universal Pressure LawJean-Paul TurcaudHydro & Mining ProspectorPioneer of australian MiningDiscoverer of Telfer; Kintyre & Nifty Mines in The Great Sandy Desert.Discoverer of the South Atlantic Submarine Gold Placers _ 40 Millions Tons estimate _Founder of The TRUE GEOLOGYTHE GOLDEN RULEGold and Intrigue in the DesertThe true story of the discovery of the Telfer gold mineAuthor : Bob Sheppard, President of the Australian Prospectors' UnionAuthor's contact & web page : www.tnet.com.au/~warrigal/Order from : Hesperian Press, PO Box 317 Victoria Park, 6979 W.Australia.AUS 40.00 + postPublished in Perth 15th December 2002* The Greatest Australian Mining Covered Up Swindle Of The 20th Centuryhttp://membres.lycos.fr/jpturcaud/( Is maintained due to Public demand at least up to next Solstice )* The True Geology ( previously Refutation of the Horrid Geological Myths )http://membres.lycos.fr/xxx/ ( Not available due to plagiarism hazards )~~Ignorance Is The Cosmic Sin, The One Never Forgiven ! ~~griffiths a .8ecrit dans le message de> Interested in a PhD in the new field of GeoSyntactic modelling with> the CSIRO in Australia ?> Check out the website:http://www.cmis.csiro.au/bi/recruitment/GeosyntaxPhD/ PhD-SyntacticAnalysis.htm> Topic:> *Application of context-sensitive grammar to the analysis of> geological sedimentation sequences and natural language === Subject: : Re: PhD scholarship in GeoSyntaxtrue.geologist@atlantic.com says...> b.. Expect to receive an Australian Postgraduate Award or equivalent> University scholarship for PhD, and accept of course that worthless piece of> !So you failed yours then.-- ICQ 40628243 Tel 07092057581 Fax 07092308800 === Subject: : Re: PhD scholarship in GeoSyntaxGone is that time and never was I allowed that choice, Peter !-- Jean-Paul TurcaudHydro & Mining ProspectorDiscoverer of Telfer; Kintyre & Nifty Mines-Great Sandy Desert.Discoverer of the South Atlantic Submarine Gold Placers ( 40 Millions Tons estimate )Founder of the TRUE GEOLOGY~~Ignorance Is The Cosmic Sin, The One Never Forgiven ! ~~Peter Harding a .8ecrit dans le message de> true.geologist@atlantic.com says...> b.. Expect to receive an Australian Postgraduate Award or equivalent> University scholarship for PhD, and accept of course that worthlesspiece of> !> So you failed yours then.> -- > ICQ 40628243 Tel 07092057581 Fax 07092308800 === Subject: : CDB'04 - call for papersCDB'04First CALL FOR PAPERS1st INTERNATIONAL SYMPOSIUM ON APPLICATIONS OFCONSTRAINT DATABASEShttp://www.luc.ac.be/cdb04SCOPEThe last few years saw a growing interest of constraintdatabase theory, query evaluation, and applications in avariety of conferences, journals, and books. This symposiumwants to bring together people from several diverse areasthat can contribute to the practice and the application ofconstraint databases. It is a continuation and extension ofprevious workshops held in Friedrichshafen, Germany (1995),Cambridge, USA (1996), Delphi, Greece (1997), and Seattle,USA (1998) as well as of the work in the comprehensive volumeConstraint Databases edited by G. Kuper, L. Libkin and J.Paredaens (2000) and the textbook Introduction toConstraint Databases by P. Revesz (2002).TOPICS OF INTERESTWe especially encourage submissions - opening new and future directions in constraint database research; - addressing constraints over domains other than the reals; - contributing to a better implementation of constraint database systems, in particular of query evaluation; - addressing efficient quantifier elimination; and - describing applications of constraint databases.The following is a non-exclusive list of topics of interest.applications: bioinformatics CAD and GIS computer security data mining model checking string databasesdata and knowledge representation: approximation techniques constraint data extraction constraint interpolation incomplete information spatiotemporal models visualizationquery evaluation: algebras indexing quantifier eliminationquery languages: complexity expressive power new operatorsINVITED SPEAKERSJoos Heintz, Universities of Buenos Aires and of CantabriaLeonid Libkin, University of TorontoAndreas Podelski, Max-Planck-Institut f.9fr InformatikPROCEEDINGSThe proceedings will be published as part of the Lecture Notesin Computer Science (LNCS) series by Springer-Verlag. Authorsare expected to sign a copyright release form to Springer-Verlag.SUBMISSION INSTRUCTIONSThe submission procedure will be electronic: Potential presentersshould submit e-mail copies of a paper in English and maximum 15pages in either PostScript or PDF form to one of the programco-chairs. Selection of papers will be mainly based on relevance,clarity, and significance. The presented results should be original,not published somewhere else and not under submission elsewhere.Please follow the Springer LNCS guidelines for formatting.IMPORTANT DATESBart Kuijpers, University of Limburg (LUC), bart.kuijpers@luc.ac.bePeter Revesz, University of Nebraska, revesz@cse.unl.eduSaugata Basu (Georgia Tech)Alex Brodsky (George Mason University)Jan Chomicki (SUNY, Buffalo)Berthe Choueiry (University of Nebraska)Giorgio Delzanno (University of Genova)Floris Geerts (University of Helsinki)Marc Giusti (CNRS, Polytechnique)Dina Goldin (University of Connecticut)Stephane Grumbach (INRIA, Paris)Joxan Jaffar (National University of Singapore)Manolis Koubarakis (Technical University of Crete)Stephan Kreutzer (Humboldt-Universit.8at Berlin)Bart Kuijpers (University of Limburg, LUC)Gabriel Kuper (University of Trento)Zoe Lacroix (Arizona State Univiveristy)Lixin Li (Georgia Southern University)Jan Paredaens (University of Antwerp)Peter Revesz (University of Nebraska)Philippe Rigaux (Universite Paris Sud)Kai-Uwe Sattler (Technische Universit.8at Ilmenau)Jianwen Su (University of California, Santa Barbara)David Toman (University of Waterloo)Jan Van den Bussche (University of Limburg, LUC)Dirk Van Gucht (Indiana University)Nicolai Vorobjov (University of Bath)Mark Wallace (Imperial College, London)PROCEEDINGS AND PUBLICITY CHAIRFloris Geerts (University of Helsinki) === Subject: : How to calculate this seriesHow to calculatesum(x=1->infinite) x*a^xif |x| <1?Are there any topic is related to this and I can check it out in thecalculus or other textbooks?! === Subject: : Re: How to calculate this seriesHow to calculate> sum(x=1->infinite) x*a^xif |x| <1? Evaluate f(a)= sum_{n=1}^oo a^n Your sum may be written a*f'(a) so...> Are there any topic is related to this and I can check it out in the> calculus or other textbooks?> ! The basis may be found in calculus books (exercises aboutderivation/integration under the sum sign and so on...). More advanced problems (recurrence relations , combinatorics...)require generating functions and this kind of things...('generatingfunctionology' http://www.cis.upenn.edu/~wilf/) A fine book is Graham-Knuth-Patashnik's Concrete mathematics http://www.amazon.com/exec/obidos/tg/detail/-/0201558025/102- 9071180-0793714?v=glance Doing many exercises could help much... Raymond === Subject: : Re: How to calculate this series> How to calculate> sum(x=1->infinite) x*a^x if |x| <1? Shouldn't that be if |a| <1? ? (I replaced x by n in my answer...) Evaluate f(a)= sum_{n=1}^oo a^n ....