Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Maple 15 does not allow me to do even small changes after executing even the smallest bit of command. Is there a way to overwrite this default setting and force Maple to undo? Do the newer versions of Maple provide this functionality and what is the purpose of undo getting deactivated after a command, at least it should be enabled for the input?

Hi, I am using Maple 18 and struggling with plotting Newton's Method.

I am wanting use the function f(x)=x^3 +cx + 1 where c is a parameter and uses 100 parameter values between -2 and 0, with 100 iterations of each parameter.

Any help would be brilliant.

Thanks in advance,

Neil

deqn4 := {4*eta^4*(diff(f(eta), eta, eta, eta))*(diff(f(eta), eta))-12*eta^3*(diff(f(eta), eta, eta, eta))*f(eta)+12*eta^4*(diff(f(eta), eta, eta))*(diff(f(eta), eta))-36*eta^3*(diff(f(eta), eta, eta))*f(eta)-24*eta^3*(diff(f(eta), eta))^2+12*eta^2*(diff(f(eta), eta))*f(eta)-36*eta*f(eta)^2-4*eta^3*(diff(f(eta), eta, eta))*(diff(f(eta), eta))-12*eta^2*(diff(f(eta), eta, eta))*f(eta)+12*eta^3*f(eta)*(diff(f(eta), eta))+36*eta^2*f(eta)^2-4*eta^3*(diff(f(eta), eta, eta, eta, eta))-12*eta^3*(diff(f(eta), eta, eta, eta))+12*eta^2*(diff(f(eta), eta, eta))-12*eta*(diff(f(eta), eta))+24*f(eta) = 0};
/
| 4 / d / d / d \\\ / d \
< 4 eta |----- |----- |----- f(eta)||| |----- f(eta)|
| \ deta \ deta \ deta /// \ deta /
\

3 / d / d / d \\\
- 12 eta |----- |----- |----- f(eta)||| f(eta)
\ deta \ deta \ deta ///

4 / d / d \\ / d \
+ 12 eta |----- |----- f(eta)|| |----- f(eta)|
\ deta \ deta // \ deta /

3 / d / d \\
- 36 eta |----- |----- f(eta)|| f(eta)
\ deta \ deta //

2
3 / d \ 2 / d \
- 24 eta |----- f(eta)| + 12 eta |----- f(eta)| f(eta)
\ deta / \ deta /

2
- 36 eta f(eta)

3 / d / d \\ / d \
- 4 eta |----- |----- f(eta)|| |----- f(eta)|
\ deta \ deta // \ deta /

2 / d / d \\
- 12 eta |----- |----- f(eta)|| f(eta)
\ deta \ deta //

3 / d \ 2 2
+ 12 eta f(eta) |----- f(eta)| + 36 eta f(eta)
\ deta /

3 / d / d / d / d \\\\
- 4 eta |----- |----- |----- |----- f(eta)||||
\ deta \ deta \ deta \ deta ////

3 / d / d / d \\\
- 12 eta |----- |----- |----- f(eta)|||
\ deta \ deta \ deta ///

2 / d / d \\ / d \
+ 12 eta |----- |----- f(eta)|| - 12 eta |----- f(eta)|
\ deta \ deta // \ deta /

\
|
+ 24 f(eta) = 0 >
|
/
init4 := { {f(0) = 1, (D(f))(0) = 0, ((D@@2)(f))(0) = 0, ((D@@3)(f))(0.1e-2) = 0} };
{{f(0) = 1, D(f)(0) = 0, @@(D, 2)(f)(0) = 0,

@@(D, 3)(f)(0.001) = 0}}
dsol4 := dsolve(deqn4 union init4, numeric, method=rkf45);

Error, (in dsolve/numeric/process_input) system must be entered as a set/list of expressions/equations

Hi,

I used to use windows 32 bit, but I have 64 bit windows now. I installed the MapleSim 6.4 and Maple 18 and try to run the simulations that I created with the 32 bit windows. I have this error 'Unable to compile (rc=1), please try again, and if that fails verify your Windows compiller installation'. Could you please let me know what should I do to eliminate this problem?

Best

Onder

i want to plot a arc that starting angle and finishing angle are variable

but it didn't show the arc there is my code

Hello,

      I would like to solve a system of 9 nonlinear equations, with the constraints on all 9 variables to be that they are nonnegative. How can I do this?

My code is below - I am trying NLPSolve and have tried solve, but am getting stuck.

with(Optimization);

restart; eq1 := 531062-S/(70*365)-(.187*(1/365))*(H+C+C1+C2)*S/N = 0;eq2 := (4/365*(T+C))*S/N-(.187*(1/365))*(H+C+C1+C2)*T/N-(1/(70*365)+1/(5*365))*T = 0; eq3 := (.187*(1/365))*(H+C+C1+C2)*S/N-(4/365)(T+C)*H/N-(1/(70*365)+1/(4*365))*H = 0; eq4 := (.187*(1/365))*(H+C+C1+C2)*T/N+(4/365*(T+C))*H/N-(1/(70*365)+3/(8*365)+.2*(1/365)+.1)*C = 0; eq5 := .1*C-(1/(70*365)+1/(4*365)+1/60+.5)*C1 = 0; eq6 := (1/60)*C1-(1/(70*365)+1/(4*365)+1/210+.5)*C2 = 0; eq7 := .5*C1-(1/(70*365)+1/60+0.1e-2)*CT1 = 0; eq8 := .5*C2-(1/(70*365)+1/210+(1/9)*(0.1e-2*7))*CT2+(1/60)*CT1 = 0; eq9 := N-S-T-H-C-C1-C2-CT1-CT2 = 0; soln := NLPSolve({eq1, eq2, eq3, eq4, eq5, eq6, eq7, eq8, eq9}, {C, C1, C2, CT1, CT2, H, N, S, T}, assume = nonnegative);

The problem is The square root of 16-x^2 over the interval [0,-4]  0 being the upper bound, -4 being the lower bound.  I have solved 3/4s of this problem but I don't understand what they mean by "Solve the definite integral exactly by geometry". 

I Want to plot only the intersection between this Surfaces 

 

z = sqrt(x^2+y^2)

y >= abs(x)

x^2+y^2+z^2 >= 4

x^2+y^2+z^2 <= 9

 

Anyone knows how ?

Thanks!

Greetings,

Maple 15 allows the following syntax

omega := sqrt(w0^2*(1+((z-zf)/z0)^2))

But it does not allow this one 

omega^2 := sqrt(w0^2*(1+((z-zf)/z0)^2))

Why is this so for functions and variables? Is there any way around this, I am really bugged by this issue. The Maple Math told me that the syntax was invalid so I had type the commands directly.

 

Hi,

 

I've encountered a problem with Maple.

 

Is it possible to create a procedure which both displays some plots and also returns a value?

 

When I write a simple example:

 

It plots a circle as expected.

But when I add return:

 

It returns value 2, but no plot is displayed.

Is it possible to do both, display and return a value?

I used to write two copies of procedure, one for plotting and one for returning value.

But thats not "pretty" solution.

 

Thanks for help.

I have a formula, which is called the cube law. It requires input between 0 <= x <= 1. When creating  a procedure I run into all kinds of problems and get nothing but error codes. Trying to use assume works, it puts a tilde mark on the variable x, but doesn't restrict the input. Here is the formula the way it is writtin in a book on calculus:

f(x) := x^3/x^3+(1-x)^3 (0 <= x <= 1).

Trying to restrict the input to be restricted as required by the relational statement has been proven fruitless.

Any help would be greatly appreciated, thanks,

Rolf.

Hi there,

I used the implicitplot command to plot an implicit equation as follows:

with(plots):

implicitplot(x^3+y^3-3xy=0,x=-3..3,y=-3..3, scaling=constrained)

but maple13 takes error and specifies {xy} as an extra unknown.

Your help will be appreciated.

Regards

Can maple solve maximization problem like

q := proc (a, b, c) options operator, arrow; .2*b+.1*c end proc;
print(`output redirected...`); # input placeholder
(a, b, c) -> 0.2 b + 0.1 c
w := proc (a, b, c) options operator, arrow; .7*a+.1*c end proc;
print(`output redirected...`); # input placeholder
(a, b, c) -> 0.7 ab + 0.1 c
e := proc (a, b, c) options operator, arrow; .7*a+.2*b*c end proc;
print(`output redirected...`); # input placeholder
(a, b, c) -> 0.7 a + 0.2 b c

with(Optimization)

Maxmize(int(min(100+(.7*a+q)*(1/2), a), q)+int(min(100+(.2*b+w)*(1/2), b), w)+int(min(100+(.1*c+e)*(1/2), c), e)-a-b-c-ab-ac-bc)

Error, (in Optimization:-NLPSolve) cannot convert procedures to piecewise

 

 

Thanks alot if you can help me.Urgent! Really appreciate.

 

Hi,

Anyone knows how to define a ring of polynomials with variables x_1,...,x_n such that x_i*x_j = -x_j*x_i if i \neq j?

I tried using the Physics package and AntiCommutator but the problem is that in that case the variables anticommute with themselves so I have x_i^2=0.

If there is no direct way to this, I guess I could define a procedure that would look at the monomials of a polynomial and order them in lexicographic order and each time it switches two variables with different index it would multiply the monomial by -1.

I also don't know how to do that since I don't know how to look at a specific term in a monomial. For example, if my monomial is x_ix_jx_k, is there a way to find the first two variables and then switch them if LexOrder(variable1,variable2)= LexOrder(x_i,x_j)= false, i.e. if i>j?

Thanks,

M-A

Hi there,

I used the following plot command in maple13.

with(plots):

implicitplot(abs(x)+abs(y)=2, x=-2..2, y=-2..2, scaling=constrained)

But the output(square) is not complete at vertices.In fact at the vertex the graph is like a trapezoid.

Any help will be appreciated.

Yegan

 

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