Maple Questions and Posts

These are Posts and Questions associated with the product, Maple
The help page ?UndocumentedNames lists a few of the undocumented procedures in Maple. For example: inner - computes the inner product (dot product) of two lists MorrBrilCull - subroutine used by ifactor evalgf1 - used by `mod/Gcd` etc.
Of course, there are big differences in dsolve and dsolve numeric. But also there is a difference that is subtle. It would be nice if this subtle one were not there. It may be that there is an easy work-around. Of course, the complication that is at the root of the problem may not be subtle at all. Look at the results of these two situations. First situation. > restart; > h[0]:=t->(1+t)*t^2*cos(t): > sol1:=dsolve({diff(y(t),t)=-h[0](t-1),y(0)=h[0](0)},y(t)): > h[1]:=unapply(rhs(sol1),t): > sol2:=dsolve({diff(y(t),t)=-h[1](t-1),y(1)=h[1](1)},y(t)): > h[2]:=unapply(rhs(sol2),t): > plot([[t,h[0](t),t=-1..0],[t,h[1](t),t=0..1], [t,h[2](t),t=1..2]],color=blue); Second situation
Entering

Tst0:= 0.5, 27.1, 0.1, 0.2, 24.0;
tst0:= beta=Tst0[1], lambda=Tst0[2], sigma=Tst0[3], P=Tst0[4], M=Tst0[5];

someFct([1/2*P, 1/lambda*beta],[(lambda+beta)/lambda],-sigma*(1+z)^lambda);
eval(%,evalf([tst0])); subs(z=0.1, %);

myTerm:=subs(someFct=hypergeom,%);

and using evalf(myTerm) I get .9981665521 while evalhf(myTerm) gives me

Error, remember tables are not supported in evalhf

What happens here?
Similarly to Binary Arithmetic, Octal Arithmetic can be done using following module,
Silvexil announced in his blog a Binary Arithmetic package. Here is my version of it.
I'm trying to trap the exception generated when the member operator (:-) is used with a variable that is not a module. I thought the following would work:
restart;
proc()
    try
        NotAModule:-mem();
    catch "`NotAModule` does not evaluate to a module":
        print("it worked")
    catch:
        print("it failed");
        print(StringTools:-FormatMessage(lastexception[2..-1]));
    end try
end proc();
                                  "it failed"

                 "`NotAModule` does not evaluate to a module"
Any ideas how to fix this? The generated exception string should match the first catch statement.
Hi, All, I am trying to solve numerically an ordernary differential equation like this diff(y(x),x) = f(y(x),ya,x) (where ya = y(x=xa), xa a known value) g(y(x=0),ya)=0 The trouble is that the initial value y(x=0) is determined by the second equation which is an implicit equation that has no analytical solution (no explicit expression), and it also depends on the solution at x=xa. Kindly let me know how to write the code to solve it! Thanks. David
Here is the simplest program for obtaining the set of prime numbers less than or equal to n,
f:=n->select(isprime,{$1..n}):
It is not Eratosthenes Sieve though. The program ES below implements the Eratosthenes Sieve,
Please, i need the code for an implementation of Eratosthenes Sieve, i need a program that calculate primes less or equal than "n", thanks and sorry for my english(i'm from Spain).
Yesterday I posted few screenshots of Maple 10. Here I am adding few different cmaple looks in Windows.    
How do I round to a certain number of digits after the decimal point? Is there an easier way than the one shown below? > number:=12.3678918; > before:=trunc(number); > after:=number-before; > afterrounded:=evalf[2](after); > roundednumber:=before+afterrounded;
How do I format a set of strings consisting of numbers and normal text strings. I want to label a color bar like it is shown below. Each last digit of a number should be below the last digit of the number in the string above. Is used the following command to create the label of the color bar: c:=textplot([seq([2.42,0.05+i/5*0.95,Join([convert(2*100*i/10,string), "*(max(energy)-min(energy))"])],i=0..5)],align={RIGHT}) P.S.: What is the maximum file size of an attachment to a post? I couldn't attach an image that's 8kb big.
How do I calculate the maximum value of a procedure within a defined region. I want to calculate the maximum value of the procedure p for Ia_IaLGmax=0..2, Ua_Ue=0..1. How can this be done in maple?



restart;
with(plots):
Ue:=75;
L:=5*10^(-6);
f:=80*10^3;
T:=1/f;
factor:=1000;
E_con:=1/2*L*(Ia_IaLGmax*Ue/(8*L)*T+1/2*Ua_Ue*Ue/L*(1-Ua_Ue)*T)^2;
E_dis:=1/2*L*((Ue-Ua_Ue*Ue)/L*(1/2/(Ua_Ue-1)*(-(Ua_Ue-1)*Ua_Ue*Ia_IaLGmax)^(1/2))*T)^2;
helpvariable:=Ua_Ue=(Ua_Ue)^2/((Ua_Ue)^2+1/4*Ia_IaLGmax);
boundary:=solve(helpvariable, Ia_IaLGmax);
p:=proc(Ia_IaLGmax,Ua_Ue)
if Ia_IaLGmax<=(-4*Ua_Ue^2+4*Ua_Ue) then factor*1/2*L*((Ue-Ua_Ue*Ue)/L*(1/2/(Ua_Ue-1)*(-(Ua_Ue-1)*Ua_Ue*Ia_IaLGmax)^(1/2))*T)^2 else factor*1/2*L*(Ia_IaLGmax*Ue/(8*L)*T+1/2*Ua_Ue*Ue/L*(1-Ua_Ue)*T)^2 end if end proc;
Compiler:-Compile uses a preset set of compiler flags. But for example I would like to replace -O2 by -fast, which is a special flag for the Mac G5. Is there any way to do this? I would even be willing to dig into the Maple code responsible, if I knew where to dig.

Bob.
I am working with Maple 9 and I am trying to create some kind of density plot similar to the one shown below this message (this one was created with matlab). I haven't yet figured out how to get a density plot with a color gradient and a scale (or legend) at the site of it which shows which color corresponds to which density value. Actually I want to plot a capacitor (or inductor) current and stored energy in an inductor (two different diagramms) which are depending on the input current and the output voltage. This should happen in a similar diagramm shown below. I would be very thankful if you could help me to solve this problem.
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