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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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  • Might it make better sense to have the 'Home' and 'About' site navigation tabs in the top right of the page to be reversed?
    It would be nice if the site could remember the login information, so that we don't have to log in every time.
    In some applications it is necessary to map an angle to a range of 0 to 360 degrees. Adding 360 degrees to an angle, or subtracting 360 from an angle does not change actually change the angle. One way to do this would be to add (or subtract) enough multiples of 360 degrees until the angle falls between 0 and 360. For example, given an angle of 400 you would subtract 360 to get an angle of 40 degrees. In Maple, this is easily accomplished by the following function.

    Frem := (x,y) -> x - y*floor(x/y);

    Yesterday, I was in a Maplesoft management meeting where we concluded that the launch of MaplePrimes was to become the number one (or maybe two) priority for the company. So here it is ...

    Vladimir Popov and Ekaterina Leleka

    Solitary waves, or solitons were first described by Scott Russell, who noted the phenomenon while riding alongside a canal in 1834. He described a peculiar wave in the canal wave a single well-organized heap that propagated, seemingly without dissipation, for several miles. As a naval designer, Scott recognized that there were important things to be learned from these unusual waves.

    The rules for using MaplePrimes are simple: Respect each other and behave. Use common sense and your time on MaplePrimes will be fun and productive.

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    Here is an example to illustrate the problem.
     > y := SQRT(4);
                                       y := SQRT(4)
    To get the square root function, you must use the name "sqrt", because Maple is case sensitive. Other examples of this are:
    • use "Pi" rather than "pi" to get 3.141etc
    • use "exp(1)" rather than "e" to get 2.718etc
    • use "I" rather than "i" to get the square root of minus 1
    Also note that, for example, "Int" and "int" are both Maple commands, but work differently.

    Here are some examples to illustrate syntax errors.
     > fsolve((1-x)/x^2),x);
     `)` unexpected
    In this case, I made a typing error; there is an extra right parenthesis after the "2". Removing it fixes the problem.
     > fsolve((1-x)/x^2,x);
     > y : = sqrt(4);
     `=` unexpected
    In this case, the problem is that the ":=" has a blank separating the ":" and the "=".
     > y := sqrt(4);
                                          y := 2
     > by:=3;
     `:=` unexpected
    In this case, the problem is that the variable name "by" is a word

    Here are some examples illustrating this problem
     > x:=3;
       ...various other calculations, during which you forget that you
          gave x a value
     > solve(2*x=1,x);
     Error, (in solve) invalid arguments
     > plot(2*x,x=-1..1);  No complaint is written out, but the plot is
                           just the line y=6.
    Here x already equals 3, so it doesn't make sense to use it in an assertion like "2*x=1", and plotting "2*x" is just plotting "6". Just as the above section shows an example of having too many indeterminates, this example shows what happens when there are too

    Here are two correct ways to define functions.
     > f:=2-x;           One way is by assigning a formula to a name.
     > plot(f,x=-1..1);  If you use this method you can refer to f,
     > solve(f=0,x);     BUT referring to "f(x)" yields nonsense.
     > f(x);      WRONG      
                                         2 - x(x)
     > f:=x->x^2;          Another way is by using an arrow. 
     > f(x);               If you use this method you can refer to f(x),
     > f(1);               BUT referring to just "f" only yields "f",
     > plot(f(x),x=-1..1); not the function.
     > solve(f(x)=0,x);
    Some commands change the internal state of the calculation, so the results have to be different each time. For example, if x is 1, entering x:=x+1; repeatedly obviously yields values of x that count up. A less obvious way that a command can do different things different times it is used is if it includes the % reference to the previous result. Then, the result from the command will depend on what the previous result was. It is less confusing to assign a name to a result you want to use again, rather than referring to it with %.
    To undefine x, enter x:='x'; To restart Maple with its memory cleared, enter restart.
    Help with using the simple Maple Commands
    Any questions that apply to plotting in Maple will appear here.
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