Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Let ABC be a triangle with A(3,0,0),B(0,6,0),C(0,0,4) and let H(x,y,z) be its orthocenter .Find the coordinates of point H ?

I always find it difficult to debug maple codes. I'm used to the debug feature in programing laguages like C#, VB.Net, JAVA even MATLAB. They all have one thing in common which is the use of breakpoints. Breakpoints are inserted at different parts of a code so as to follow the program execution and to trace out errors. Is any similar feature in Maple? I only know the DEBUB() function and not that helpful to me.

Please, I have an error message which says Error, (in eul) illegal use of a formal parameter. I can't find the cause of the error. I got the result I wanted if i remove these lines eul := proc(x,y) , return yt: , end proc: and

yv := eul(x,y); that is if I consider the for..loop alone.

fxy := proc(x,y)
  return x/y;
end proc:

a := 0:
b := 1:
N := 10:
h := evalf((b-a)/N):
x := 0:
y := -2:
yt := Vector(3):

eul := proc(x,y)
    for j from 1 to 3 do
          y[j]:= y + h*fxy(x,y):
          x:= 0 + j*h:
          y := y[j]:
          yt[j] := y:
    end do:
    return yt:
end proc:
yv := eul(x,y);

Hi all, 

I'm trying to implement the smithChart on Maple, but this error "Error, (in unknown) invalid transform: output is not 2 or 3 element" keeps popping up for some reason. I have no idea how to fix it. Can anyone help me with this? Here is the smithChart:




smithChart.mw

 

smithChart := proc(r)
  local i, a, b, c;
   a := PLOT(seq(plottools[arc]([-i*r/4, 0], i*r/4, 0..Pi),
                 i = 1..4),

  plottools[arc]([0, r/2], r/2,
            Pi-arcsin(3/5)..3*Pi/2),
  plottools[arc]([0,r], r, Pi..Pi+arcsin(15/17)),
  plottools[arc]([0, 2*r], 2*r,
            Pi+arcsin(3/5)..Pi+arcsin(63/65)),
  plottools[arc]([0,4*r], 4*r,
            Pi+arcsin(15/17)..Pi+arcsin(63/65)));

  b := plottools[transform]((x, y) -> [x-y])(a);
  c := plottools[line]([0,0], [-2*r, 0]):
  plots[display](a, b, c, axes = none, scaling = constrained, args[2..nargs]);
  end proc:

smithChart(1);
Error, (in unknown) invalid transform: output is not 2 or 3 elements

I got a code file and i dont know how to load it in Linux. In Windows i just type:

read "E:/code.txt"

But thing now i change to use Linux and cant do the same (Maple 2015 64bit Linux ver), try to load

read "/root/Desktop/code.txt"

It show me that:

I click Cancel and it show me:

Hope can help me another ways to use and load my code to run.

Is there something I can put at the beginning of my worksheet to tell Maple to do everything in fractions?

 

Maple is outputing things like -0.166666667 when I solve an equation and I know that is -1/6

 

 

 

Hi,

In a simulation code I use "module-factory" concepts (where a module has a proc; the proc in turn returns another module that has all the procs one wants) a fair bit to keep the code readable and maintainable.

At this point I have the code mostly doing what I want it to, but the run time could be improved (read: I want it to go faster). So I have started working with CodeTools:-Profiling. Quickly I am running into the Profile() function apparently not being able to deal with my generated procedures.

Is there a way out? In other locations I read about procs to be profiled having to be in a Maple library; this is the case for my routines (it all is in a big module with procs, submodules etc.). I'd rather not rewrite the code extensively just to allow profiling (in particular I would not really like to abandon the module-factory scheme), but of course I can do some modification.

Any suggestions?

M.D.

 

hello

took this problem from a uk tv program.

4 dancers are initially at the 4 corners of a square, edge length 4 meters. every dancer moves towards the person on their left.

i want to know the equations of the spiral. the arc length of each path should be 4m.  also an animation of the 4 spirals would be great. 

dance.mw

under the heading "more spirals" the closest one is r(t)=1/t (decreasing modulus)

http://mathematische-basteleien.de/spiral.htm

 

Hello,

Anyone here know how to use the read command. I tried to use it to call and run the particular code but it didnt work. It produce this such error 

> read "02ExactSoln.m";
Error, could not open `02ExactSoln.m` for reading

I have no idea how to fix it. Or do I need to locate the code in any specific folder. 

Thanks

 

 

Here is the function I want to find the inverse of 

 U(x):=-(s^2/(s^2+1)+1/(s^2+1)-1)*exp(sqrt(s)*x/sqrt(phi))/(s^2+1)+exp(-sqrt(s)*x/sqrt(phi))/(s^2+1);

where phi>0

Now taking the inverselaplace of U(x)

 u:=invlaplace(U(x),s,t);

which give me an unevaluated integral.

Any idea, how to get the complete inverse, maybe interms of erf?

Hi,

  I have the following input

f:=x^2*exp(-1.2*x);
maximize(f, x=0..100,location);

 Maple gives me the location is x=1.25. However, how should I do to obtain this position?  If I write

 

a:=maximize(f, x=0..100,location);

 

  Seems it do not work :(

 

  I may try fsolve at the maximum value, but it seems to be awkward..

 

Thank you very much!

  

Hi guys.

I want to know how can I make the maple to give final response of a simple trigonometric function, e.g sin(pi/6). When I type sin(pi/6) in the command line and then press enter, maple give the same, I mean sin(pi/6) at the next line. I want 0.5 as the final response not sin(pi/6) again. Simplify command does not work for me in this case.

Thanks in advance.

When solving a simple assignment problem in Maple 2015.1 the bug occurs:

 

In Maple 2012 there are no problems:

A := Matrix([[1, 7, 1, 3], [1, 6, 4, 6], [17, 1, 5, 1], [1, 6, 10, 4]]):

n:=4:

z:=add(add(A[i,j]*x[i,j], j=1..n), i=1..n):

restr:={seq(add(x[i,j], i=1..n)=1, j=1..n),seq(add(x[i,j], j=1..n)=1, i=1..n)};

sol:=Optimization[LPSolve](z, restr, assume=binary); 

 

 

Hello

I am working on a project where I need to find the parameters of the formula:

1/2*a*erfc(1/2*2^(1/2)*(-x+m1)/s1)+(1/2-1/2*a)*erfc(1/2*2^(1/2)*(-x+m2)/s2)

which is the formula for the cumulative distribution for two gaussian peaks, one with average m1 and standard deviation s1, the other m2 and s2, with weights a and (1-a). I have data in excel that form the gaussian distribution but now I need to find the parameters of the formula that fits these data.

Is there a command in maple to find these parameters or how do I start? And do I need to upload the data from excel to maple or do I need to insert only some values?

Some one who could help me, because it is really hard and I find no information for this.

Hasselhof

Hi !

I wish to solve a differential equation with an initial condition of the type D(f)(a)=b, where 'a' and 'b' are arbitrary real constants and are entered this way symbolically. Maple interprets D(f)(a) as a function which depends on a new variable 'a' and gives the error:

 

Error, (in dsolve) found differentiated functions with same name but depending on different arguments in the given DE system: {f(a), f(psi)}

(the differential equation is for a function f(psi) which was defined previously)

 

How can I pass this initial condition f'(a)=b (a,b being constants, but arbitrary) to the Maple dsolve command?

I have been browsing the web and looking at manuals, but always find D(f)(0)=3 or any other combination with numbers only.

Thank you in advance.

Regards,

              Michael

 

 

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