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MaplePrimes Posts are for sharing your experiences, techniques and opinions about Maple, MapleSim and related products, as well as general interests in math and computing.

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  • Besides availability of that forum (our admin would be fired for such) or loading time (quite boaring today) it seems that threads may be  in a strange state, which do not allow them to be viewed. The last time I just ignored that, but as it may be a technical problem here is an example:

    http://www.mapleprimes.com/forum/pointinflection

    For me it was not possible to opne it by a click yesterday, so tried it at work today and gave up after 5 min (?) waiting on a fast connection. Now at home again the problem persists.

    The integral of a derivative should return the same expression, or maybe, different by adding a constant. Try something simple,

    diff(2*arcsinh(x^(3/2)/sqrt(2))/3,x);
    
                                   1/2  1/2
                                  2    x
                                -------------
                                        3 1/2
                                (4 + 2 x )
    
    int(%,x);
    

    The answer is too long to paste, and I didn't check whether it is correct, or wrong.

    Alec

    When I was a toddler and learning about the concept of numbers, I used to play a simple game with my parents.  They’d think of a number, and I’d try to guess it.  They would shout “hotter!” if I were getting closer to the number and “colder!” if I was getting further away.  I’m still fascinated by number games, but now it’s Sudoku, the Countdown numbers game… or balancing my bank account at the end of the month.

    I spent many of my callow teenage years playing games of chance involving dice and cards.  But it was only after I stopped playing that I stopped losing money. I guess at that time I never really understood the Gambler’s Fallacy, or probability itself.

    (Pop quiz: Toss a coin 40 times - what are the chances of getting six heads or six tails in a row? The answer’s in a post script below, together with some Maple code.)

    At university, I became fascinated by a UK quiz show called Countdown (and not just because I had a crush on Carol Voderman – an ex-presenter).  In one of the rounds, the contestants have to find the combination of additions, subtractions, multiplications and divisions to make six seed numbers equal a target. 

    I’ve attached a Maple worksheet that automatically solves the Countdown numbers game (a simple click of a button asks Maple to find the solution for you).  Kent – one of the sales people I work with – was so fascinated by the worksheet that he spent an entire weekend playing with it, much to the displeasure of his wife and kids. 

    Now, if I want some mental stimulation, I often crack open a book of Sudoku puzzles I’ve got lying around. By the time I’m bored, I usually break out Joe Riel’s fantastic Maple-based Sudoku solver.

    P.S The following Maple procedure gives the probability of k heads (or k tails) in a row out of n coin tosses.

    Many people underestimate the chances of getting 6 heads in a row out of 40 coin tosses, and find it hard to accept it’s as high as 26%.  Given a large enough sample size, the improbable is likely to happen.  How else do you explain the English football team finally having a run of wins?

    Download the attachment: CountdownNumbersGam.mw

    On some Linux distributions, the default font (Lucida Bright at size 12) for text mode in Maple's Standard GUI doesn't look as good as it might at the default magnification.

    Here's a screenshot of Maple 12 and some text in a worksheet (on my very old Fedora Core 2).

    Notice how some letters look odd. The "i" and "s" are mismatched, as are the "u" and "c", etc. The screenshot may not do full justice to its ugliness. That is with Maple's option for font antialiasing enabled (though it wasn't improved by disabling the antialiasing -- those letters' sizes were still mismatched).

    This is with Lucida Bright, which as I gather is the "recommended" font for a Java application that is intended as cross-platform. That is used at size 12 as Maple's default style for text mode (on Linux).

    So I installed the "Microsoft TrueType core fonts", by following the instructions here.

    My old Linux FC2 X server can handle TrueType fonts, as I believe  most  modern  Linux distributions can.

    Now I get the following look, first with and then without font antialiasing enabled. It is much improved.

    I don't know how the default appearance on other, more modern Linux distributions looks. Perhaps the Lucida Bright 12pt font appears more pleasing on new distributions using the stock fonts. Feedback is welcome.

    The rightmost column on this page, entitled "Points from all posts", has all zeroes.

    Also, the description says that there are five classifications in the table. But there are only four.

    Over the past few months, a team of dedicated staff has been working hard on a project that has recently come to fruition: I’d like to introduce you to Maplesoft’s new and improved Application Center. The Application Center provides one central place where you can find “thousands of free applications from the Maplesoft community”, such as Maple documents, graphics, animations, and packages; and MapleSim models, components, and templates.

    Define the following bump function: f:=(x,a,b)->piecewise(x

    While visiting a cathedral in Germany, Bob Schipke, a retired Harvard mathematician was astounded to find a glyph in a 13th century manuscript that looked remarkably like the Mandelbrot set.  This led to a remarkable voyage of discovery that was publicised in a

    Sage has a group on Facebook now. I've just became a fan.

    Alec

    Eigenvalues, Eigenvectors, and Eigenspaces Worksheet and Video Tutorial

    RSA Algorithm Worksheet and Video Tutorial

    Hi! The following worksheet illustrates how you can use determinants in a variety of geometric applications. The worksheet outlines how you can determine the area of a triangle or a parallelogram, and the volume of a tetrahedron or parallelepiped using a determinant containing the coordinates of vertices. The worksheet also shows you how to obtain the equation of a plane through three points, and to determine if three points are collinear, or four poin

    Hi there! The following worksheet contains 3 examples that show you how to solve a linear system. The 3 examples outline linear systems that have solution sets containing 1 point, infinitely many points, or no points. Given a set of equations, the worksheet demonstrates how Maple can be used to convert these equations into a matrix, how to row-reduce the matrix, and how to determine the solution of the system. Then using Maple's Linear System Plot Tuto

    A prolonged winter is one of the challenges of living where I do. But each year, we also get the pleasure of experiencing the very first spring day and that’s a special feeling that I would not trade for all the tropical weather in the world. For me, spring in my town is not defined by the temperature or amount of sunshine. It’s defined, oddly enough, by robots … the third week in March is typically the week of the FIRST Robotics Waterloo Regional Tournament. FIRST stands for “For Inspiration and Reward of Science and Technology”. It is an international team sport where high-schools from around the world compete in complex robotic games with full sized remote controlled and autonomous robots on the playing field about the size of half a basketball court.

    I am using the Physics package of Maple 12 to do some research. The main objects I am using are spacetime tensors. However it seems the Simplify command need to be improved. Here are some limitations of this command:

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