MaplePrimes Questions

I am trying to find 6 unknowns A, B, C, L, E, and F and have managed to write down a system of 6 equations involving these unknowns.  However, the equations are long and which I try to put the system together and solve with solve(sys, {A, B, C, E, F, L}) it says `[Length of output exceeds limit of 1000000]`.  Although the equations are long, I feel like something must be going wrong as the output cannot be that long.  The equations are:

C = (((h/(4*Pi*K)*H*e^(-k*h)*I/k - k*h^2/2 + H*A*e^(-k*h)*I/(K*k^2) - B*h - sqrt(Pi/2)*h/(2*Pi)*H*e^(-k*h)*I + sqrt(Pi/2)*K*k*h - sqrt(Pi/2)*H*A*e^(-k*h)*I/k + sqrt(Pi/2)*B*K - sqrt(Pi/2)*K*H*k*h^2*I/2) + sqrt(Pi/2)*H*A*e^(-k*h)*I/k) - sqrt(Pi/2)*H*F*h*K*I - sqrt(Pi/2)*H*A*e^(-k*h)*I/k + sqrt(Pi/2)*K*H*k*h^2/2*I) - sqrt(Pi/2)*H*F*h*K*I,

E = (((h/(4*Pi*K)*J*e^(-k*h)*I/k - k*h^2/2 + J*A*e^(-k*h)*I/(K*k^2) - L*h - sqrt(Pi/2)*h/(2*Pi)*J*e^(-k*h)*I + sqrt(Pi/2)*K*k*h - sqrt(Pi/2)*J*A*e^(-k*h)*I/k + sqrt(Pi/2)*L*K - sqrt(Pi/2)*K*J*k*h^2*I/2) + sqrt(Pi/2)*J*A*e^(-k*h)*I/k) - sqrt(Pi/2)*J*F*h*K*I - sqrt(Pi/2)*J*A*e^(-k*h)*I/k + sqrt(Pi/2)*K*J*k*h^2/2*I) - sqrt(Pi/2)*J*F*h*K*I

0 = -H*(k*z^2/2 - H*A*e^(-k*z)*I/(K*k^2) + B*z + C)*I - J*(k*z^2/2 - J*A*e^(-k*z)*I/(K*k^2) + L*z + E)*I + k*z + A*e^(-k*z)/K + F

0 = ((-H*A*e^(-k*z)*I - H*I*(-2*K*(-H*k*z^2*I/2 - H^2*A*e^(-k*z)/(K*k^2) - H*B*z*I - H*C*I)) - J*I*(-2*K*1/2*(((-J*k*z^2*I/2 - J*H*A*e^(-k*z)/(K*k^2) - J*B*z*I - J*C*I - H*k*z^2*I/2) - J*H*A*e^(-k*z)/(K*k^2)) - H*L*z*I - i*H*E)) - K*k) + H*A*e^(-k*z)*I) + K*H*z*k*I + H*A*e^(-k*z)*I + K*H*F*I

0 = ((-J*A*e^(-k*z)*I - H*(((K*J*k*z^2*I/2 + J*H*A*e^(-k*z)/k^2 + K*J*B*z*I + k*h*K*z^2*I/2) + J*H*A*e^(-k*z)/k^2) + K*H*L*z*I + K*H*E*I)*I - J*I*(-2*K*(-J*k*z^2*I/2 - J^2*A*e^(-k*z)/(K*k^2) - J*L*z*I - J*E*I)) - K*k) + J*A*e^(-k*z)*I) + K*J*z*k*I + J*A*e^(-k*z)*I + K*J*F*I

0 = (-k*A*e^(-k*z) - H*I*(-2*K*1/2*(((k*z + H*A*e^(-k*z)*I/(K*k) + B - H*k*z^2*I/2) + H*A*e^(-k*z)*I/(K*k)) - H*F*z*I - H*G*I)) - J*I*(-2*K*1/2*(((k*z + J*A*e^(-k*z)*I/(K*k) + L - J*k*z^2*I/2) + J*A*e^(-k*z)*I/(K*k)) - J*F*z*I - J*G*I)) - 2*K*k) + 2*k*A*e^(-k*z)

where h takes a constant value, H and J are constants, k is the square root of H^2 + J^2, I is the imaginary unit, and z also takes some value as a parameter.

I'm new to maple and numerical analysis in general and I have a problem, I'm not sure how to assign variables into a function with the submethod rk4, the equation is very simple:

dy/dx=10(y-a)/b, where a and b serve as functions of x, and are given different values with the change of x.How do I assign these values?

Thanks.

 

Error, invalid subscript selector
WeilP:
   7       PS1 := temp[1];
============================================

WeilP:=proc(m, P1, P2, Q1, Q2, f, p) 
local S1, S2, gP, gQ, temp, PS1, PS2, QS1, QS2;
    if [P1,P2] = [Q1, Q2] mod p then
        return 1 ;
        else  
            # [S1, S2] := EAdd( f, x, P1, P2, Q1, Q2); 
            temp := EAdd( f, x, p, P1, P2, Q1, Q2);
            S1:= temp[1];
            S2:=temp[2];
        temp := EAdd( f, x, p, P1, P2, S1, -S2);   #represents P-S  
            PS1:= temp[1];
            PS2:=temp[2];
        temp := EAdd( f, x, p, Q1, Q2, S1, S2);    #Q+S
        QS1:=temp[1];
        QS2:=temp[2];
    #        gP:=Weil( m, P1,P2, f, p ); 
    #        gQ:=Weil( m, Q1,Q2, f, p );
    return 0
#    return Normal(  ( Eval(gP, { x=QS1, y=QS2 } ) * Eval(gQ, {x=S1, y= -S2} ) )  / ( Eval(gP, { x=PS1, y=PS2 } ) * Eval(gQ, {x=S1, y= -S2} ) )   )  mod p;    # ( f_P(Q+S) f_Q(-S)  ) / ( f_Q(P-S) f_P(S)  )
    end if ;

Here EAdd is elliptic curve addition   

I tried evaluating the code outside the code edit region and it seemed to work okay  temp ends up being the vector 

p.s. how do I get maple to save the values of a procedure rather than deleting them? 

how do I view variable values during debugging? 

 

How do I get the line number of where the error occurred? 
The errors messages in maple tell you nothing.

p.s. How do I get the debugger to keep the display of code after it hits an error? 
 Where does the copy results on exit copy to? 
How do I know where I am in the code? (e.g. the matlab debugger just goes into the code you wrote  but when do outfrom it's not clear where I am now  )
How do I view variable values whilst debugging? How do I quit the debugger and save variables?  Can I set a procedure to quit and return variables? 

can I set a break in a procedure to quit and keep variable values?

I have 4 ode equations. i just want to know can i use any option or simplification to have a analytical solution or NOT? Thanks in Advance

 

``

restart:

ode1 := -2*diff(lambda(t),t)*y1(t) - lambda(t)*diff((y1)(t),t)-0*diff(eta(t),t) - diff((y1)(t),t$3) + diff((y1)(t),t)*(y1(t)^2 + y2(t)^2) +4*y1(t)*sqrt(y1(t)^2 + y2(t)^2)*diff(sqrt(y1(t)^2 + y2(t)^2),t)+diff((y1)(t),t)/r^2
+ y1(t)^2*diff(y1(t),t) + y1(t)*y2(t)*diff(y2(t),t) - 2*diff(y1(t),t)/r^2 ;

 

-2*(diff(lambda(t), t))*y1(t)-lambda(t)*(diff(y1(t), t))-(diff(diff(diff(y1(t), t), t), t))+(diff(y1(t), t))*(y1(t)^2+y2(t)^2)+2*y1(t)*(2*y1(t)*(diff(y1(t), t))+2*y2(t)*(diff(y2(t), t)))-(diff(y1(t), t))/r^2+y1(t)^2*(diff(y1(t), t))+y1(t)*y2(t)*(diff(y2(t), t))

(1)

ode2 := diff((lambda)(t),t$2) + lambda(t)*(y1(t)^2 + y2(t)^2) - 2*y1(t)*diff((y1)(t),t$2) - y1(t)^2*(y1(t)^2 + y2(t)^2) - y1(t)^2/r^2 - diff((y1)(t),t)^2 - 2*diff(sqrt(y1(t)^2 + y2(t)^2),t)^2 - 2*sqrt(y1(t)^2 + y2(t)^2)*diff(sqrt(y1(t)^2 + y2(t)^2),t$2) - diff((y2)(t),t)^2 - 2*y2(t)*diff((y2)(t),t$2) - y2(t)^2*(y1(t)^2 + y2(t)^2)

diff(diff(lambda(t), t), t)+lambda(t)*(y1(t)^2+y2(t)^2)-2*y1(t)*(diff(diff(y1(t), t), t))-y1(t)^2*(y1(t)^2+y2(t)^2)-y1(t)^2/r^2-(diff(y1(t), t))^2-(1/2)*(2*y1(t)*(diff(y1(t), t))+2*y2(t)*(diff(y2(t), t)))^2/(y1(t)^2+y2(t)^2)-2*(y1(t)^2+y2(t)^2)^(1/2)*(-(1/4)*(2*y1(t)*(diff(y1(t), t))+2*y2(t)*(diff(y2(t), t)))^2/(y1(t)^2+y2(t)^2)^(3/2)+(1/2)*(2*(diff(y1(t), t))^2+2*y1(t)*(diff(diff(y1(t), t), t))+2*(diff(y2(t), t))^2+2*y2(t)*(diff(diff(y2(t), t), t)))/(y1(t)^2+y2(t)^2)^(1/2))-(diff(y2(t), t))^2-2*y2(t)*(diff(diff(y2(t), t), t))-y2(t)^2*(y1(t)^2+y2(t)^2)

(2)

ode3 := 2*diff((lambda)(t),t)*y2(t) + lambda(t)*diff((y2)(t),t) - y1(t)*y2(t)*diff((y1)(t),t) - 4*y2(t)*sqrt(y1(t)^2 + y2(t)^2)*diff((sqrt(y1(t)^2 + y2(t)^2)),t) - y2(t)^2*diff((y2)(t),t) - (y1(t)^2 + y2(t)^2)*diff((y2)(t),t) - diff((y2)(t),t$3) ;

2*(diff(lambda(t), t))*y2(t)+lambda(t)*(diff(y2(t), t))-y1(t)*y2(t)*(diff(y1(t), t))-2*y2(t)*(2*y1(t)*(diff(y1(t), t))+2*y2(t)*(diff(y2(t), t)))-y2(t)^2*(diff(y2(t), t))-(y1(t)^2+y2(t)^2)*(diff(y2(t), t))-(diff(diff(diff(y2(t), t), t), t))

(3)

ode4 := lambda(t)*y1(t)/r + mu(t)*r - diff((y1)(t),t$2)/r -1/r*y1(t)*(y1(t)^2 + y2(t)^2) - y1(t)/r^3-2/r*diff(y1(t),t$2)

lambda(t)*y1(t)/r+mu(t)*r-3*(diff(diff(y1(t), t), t))/r-y1(t)*(y1(t)^2+y2(t)^2)/r-y1(t)/r^3

(4)

sys := [ode1, ode2, ode3, ode4]:

dsolve(sys,[y1(t),y2(t),lambda(t),mu(t)],'implicit')

``

``


 

Download 1.1.mw

###(*         test code 
test:=proc(aa,bb)

P1:=1; 
P2:=2;  

    P1:=aa; 
    P2:=bb;
 
f:=x^3+x+2;
p:=13; 
k:=2;
tmp:=field(p,k);
q:=tmp[1];
Po:=tmp[2];
L1:=P1; 
L2:= P2;
m:=1; 
while (L1 <> infinity) and (m < 25 ) do
temp:= EAdd(f, x, p, P1,P2,L1,L2) ;
L1:=temp[1];
L2:=temp[2];
m:=m+1;
end;

return 0;
end proc ;
#    *)


stopat(test, 24);

Error, (in stopat) statement number out of range  

Line 24 is the line after m:=m+1 so why is it out of range???

Hello,

I have the following expression

Ve*k21*ke*x1+Ve*k21*x1^2+k12*ke^2*x1[t]+2*k12*ke*x1*x1[t]+k12*x1^2*x1[t]+k21*ke
^2*x1[t]+2*k21*ke*x1*x1[t]+k21*x1^2*x1[t]+Ve*ke*x1[t]+ke^2*x1[t,t]+2*ke*x1*x1[t
,t]+x1^2*x1[t,t]


and I want to convert it to

x1[t,t]*(x1+ke)^2+(k12+k21)*x1[t]*(x1+ke)^2+Ve*x1[t]*ke+(k21*Ve)*x1*(x1+ke)

 

How can I do this opperation? This is just a simple example of a more general problem I am facing. Thanks in advance for your help

In graph theory, the crossing number cr(G) of a graph G is the lowest number of edge crossings of a plane drawing of the graph G. I'd like to use maple to compute crossing number of some graphs (any graphs is ok,  for example: cr(K5)=1 ). Someone can help me ? thanks. 

I know the problem of computing the crossing number is NP, but I guess we have some good  ways to compute in some small graphs.

Hello,

Since I installed Maple 2019 in my new iMac with Catalina, I can't make it work properly.

1. Once open, it's impossible to shut it down. I always have to force its exit.

2. The context panel doesn't seem to work properly. It never shows the actions that it sould do.

3. It doesn't flow as the old Maple I use to have in my old iMac.

I've been looking for this issue both in this forum and in the whole internet, as well as sending messages to technical support, and still can't find any answers. If someone knows something, plese let me know.

Kind regards,

Fermat66 

textplot.mw

 

I am trying to do Textplot along with numerical ode solution plots in display command but it doesnt seem to want to work, i have included my code and it can be seen that textplot works for by itself but when i want to include it into display nothing happens, any thoughts? 

Help would be appreciated. 

Sorry if this is stupid but How do I use the interactive debugger?   the button is greyed out for me and 
 

stopat(EAdd(x^3+2x+1,x, 13, 1, 2, 1, 2), 1);

Error, missing operator or `;`

 

stopat(EAdd, 1);

                             [EAdd]
 

debug button is still greyed out IDK what to do now


p.s. is there a way to set breakpoints in your code by clicking like in other programming?
 

I want to factor large numbers, for this purpose I want to utilize multi cores on my computer.

Anyone who can help me in solving this problem?

I am utilizing Lenovo Thinkpad T440s with specifications core i7-4600 CPU @ 2.19 GHz.

In addition I would like to ask if anyone can help me in integrating GPU's with Maplesoft 2019 for factorization.

 

I am having a cluster of 64 GPU's i.e. AMD RX-460.

 

Any help in this regard will be appreciated.

 

Hello people in Mapleprimes,

A long time has passed since I came here before.
I have forgotten a lot of what I remembered about maple.

I want to incert gamma from e_nsp1 and (1-gamma) from e_nsp2 into set_3, so deleting gamma and (1-gamma) from set_3.
How can I do this?

Thank you in advance.

Take care.

question_1.mw

 

taro 
 

Dear maple users,

How to plot a figure for different values of rk?

like rk=5,10,15,20:

jb.mw

Thanking you,

Waiting for replay.

 

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