MaplePrimes Questions

Hi,

I would like to compute the elements of the permutation group, let us say S10 or S20.

Is there any method to compute all the elements.

And can we make a list of the tranposition and cycles.

Many thinks.

 

Dear Colleagues,

 

1) is there any way to plot the difference of two ode solutions? Smth like display(p1-p2)?
2) is there a way to add a regular plot, i.e. explicit function to the set of plots? I need to have regular plotsand ode plots all together. 

So if you are given a 3x3 matrix i was just wondering how to use plot3d and plot the 3 column vectors given by it?  Thanks.

Hello,

I have a quite long document (around 200 equations + comments).

I need to share my document with collegues.

However, they don't have maple et moreover i would like only to give them my work in a paper format and in a synthetic way. Indeed, they only need to see the main steps of my calculation.

Consequently, i need to make a synthetic presentation of the work i have done on a classic maple worksheet.

For that purpose, i believe that i have 2 ways to do.

1) Create a slideshow. However, i find the mode not very complete in Maple ? Indeed, for the moment, when i have a big section, i didn't manage to scroll on it so as to read the whole section.

2) create a document mode and emphasize only the main equations. 

Questions:

1) What is the best solution for you so as to make a presentation of a work made with classic worksheet?

2) Is it possible to transform a worksheet in a document mode? and if yes, how?

3) Have you some ideas to compact the calculation (or emphasize only the main steps) ?

Thank you for your help

im solving 6 ODE which is the equations are unsteady with boundary conditions.. the program can be run when A=0 but when A=0.2 or others value .. its cannot be run... A means for unsteadiness... before this i solve for steady equations.. this is first time i solve for unsteady using maple.. anyone know where i am wrong??? thanks for helping :)

 

restart; with(plots); n := 2; Ec := 2.0; Pr := .72; N := .2; M := .1; l := 1; Nr := 1; y := 1; blt := 2.5; B := .1; a1 := 1; rho := .5

Eq1 := diff(f(eta), eta, eta, eta)+f(eta)*(diff(f(eta), eta, eta))-(diff(f(eta), eta))^2+l*B*H(eta)*(F(eta)-(diff(f(eta), eta)))-M*(diff(f(eta), eta))-A*(diff(f(eta), eta)+.5*eta*(diff(f(eta), eta, eta))) = 0;

diff(diff(diff(f(eta), eta), eta), eta)+f(eta)*(diff(diff(f(eta), eta), eta))-(diff(f(eta), eta))^2+.1*H(eta)*(F(eta)-(diff(f(eta), eta)))-.1*(diff(f(eta), eta))-A*(diff(f(eta), eta)+.5*eta*(diff(diff(f(eta), eta), eta))) = 0

(1)

Eq2 := A*(F(eta)+.5*eta*(diff(F(eta), eta)))+G(eta)*(diff(F(eta), eta))+F(eta)^2+B*(F(eta)-(diff(f(eta), eta))) = 0;

A*(F(eta)+.5*eta*(diff(F(eta), eta)))+G(eta)*(diff(F(eta), eta))+F(eta)^2+.1*F(eta)-.1*(diff(f(eta), eta)) = 0

(2)

Eq3 := .5*A*(G(eta)+.5*eta*(diff(G(eta), eta)))+G(eta)*(diff(G(eta), eta))+B*(f(eta)+G(eta)) = 0;

.5*A*(G(eta)+.5*eta*(diff(G(eta), eta)))+G(eta)*(diff(G(eta), eta))+.1*f(eta)+.1*G(eta) = 0

(3)

Eq4 := G(eta)*(diff(H(eta), eta))+H(eta)*(diff(G(eta), eta))+F(eta)*H(eta) = 0;

G(eta)*(diff(H(eta), eta))+H(eta)*(diff(G(eta), eta))+F(eta)*H(eta) = 0

(4)

Eq5 := (1+Nr)*(diff(theta(eta), eta, eta))+Pr*((diff(theta(eta), eta))*f(eta)-2*(diff(f(eta), eta))*theta(eta))+N*Pr*a1*(theta1(eta)-theta(eta))/rho+N*Pr*Ec*B*(F(eta)-(diff(f(eta), eta)))^2/rho+Pr*Ec*(diff(f(eta), eta))^2-.5*A*Pr*(4*theta(eta)+eta*(diff(theta(eta), eta))) = 0;

2*(diff(diff(theta(eta), eta), eta))+.72*(diff(theta(eta), eta))*f(eta)-1.44*(diff(f(eta), eta))*theta(eta)+.2880000000*theta1(eta)-.2880000000*theta(eta)+0.5760000000e-1*(F(eta)-(diff(f(eta), eta)))^2+1.440*(diff(f(eta), eta))^2-.360*A*(4*theta(eta)+eta*(diff(theta(eta), eta))) = 0

(5)

Eq6 := 2*F(eta)*theta1(eta)+G(eta)*(diff(theta1(eta), eta))+a1*y*(theta1(eta)-theta(eta))+.5*A*(4*theta1(eta)+eta*(diff(theta1(eta), eta))) = 0;

2*F(eta)*theta1(eta)+G(eta)*(diff(theta1(eta), eta))+theta1(eta)-theta(eta)+.5*A*(4*theta1(eta)+eta*(diff(theta1(eta), eta))) = 0

(6)

bcs1 := f(0) = 0, (D(f))(0) = 1, (D(f))(blt) = 0, F(blt) = 0, G(blt) = -f(blt), H(blt) = n, theta(0) = 1, theta(blt) = 0, theta1(blt) = 0;

f(0) = 0, (D(f))(0) = 1, (D(f))(2.5) = 0, F(2.5) = 0, G(2.5) = -f(2.5), H(2.5) = 2, theta(0) = 1, theta(2.5) = 0, theta1(2.5) = 0

(7)

L := [0., .2, .5];

[0., .2, .5]

(8)

for k to 3 do R := dsolve(eval({Eq1, Eq2, Eq3, Eq4, Eq5, Eq6, bcs1}, A = L[k]), [f(eta), F(eta), G(eta), H(eta), theta(eta), theta1(eta)], numeric, output = listprocedure); Y || k := rhs(R[3]); YP || k := rhs(R[5]); YR || k := rhs(R[6]); YQ || k := rhs(R[7]); YA || k := rhs(R[9]); YB || k := rhs(R[8]) end do

Error, (in dsolve/numeric/bvp) initial Newton iteration is not converging

 

P1 := plot([Y || (1 .. 3)], 0 .. 10, labels = [eta, (D(f))(eta)])

P2 := plot([YP || (1 .. 3)], 0 .. 10, labels = [eta, F(eta)])

plots:-display([P1, P2])

Error, (in plots:-display) expecting plot structures but received: [P1, P2]

 

``

 

Download unsteadyManjunatha.mw

Help!!

Why do the first two of the following 4 examples not work in Maple 15?

subs(m=21,`mod`(m, 4));
subs(m=21,m mod(4));
                               21
                               21
`mod`(21, 4);
21 mod(4);

                               1
                               1
Is there a (simple) workaround?

Thanks.

Hi:
i have two functions(f(x)&g(x)),i calculated values this functions with numerical method(dsolve,numeric),
now i will plot the f(x)-g(x) for 0<x<1,how do this work?

Can someone help me to solve system of equations please. I have a system of 8 complex valued equations, with 8 unknowns: _C1,_C2........_C8

Equation system looks like:

eq_system:={ -3.248046797 10 _C1 + 1.773373463 10 _C2 + (2.182313824 10 - 9.987524076 10 I) _C3 + 1.773373463 10 _C4 = -7.389056097 10 _C2- 7.389056097 10 _C4+ (4.161468365 10 + 9.092974265 10 I)_C3,

............}  its only 1st equation, others are similar.

It looks rather simple though I am not able to solve it with solve or fsolve commands. What I'm doing wrong?

solve(eq_system,{_C1,_C2,_C3,_C4,_C5,_C6,_C7,_C8});

Hello! I wrote a program in Maple but it doesn't work. It crashes with the following error: "Error, (in r_nach_1[3]) too many levels of recursion". I am a newbie in Maple and don't know how to solve this problem. A part of my program that causes the error is given below. Many thanks!

maple.mws


restart;
t1F := 20: A11 := 2.5*10^(-3): c1 := 4*10^2: ss1 := 0.5*10^(-2):
pI1 := 0.4*10^(-1): r1max := 0.6*10^(-2): procent:=0.2:
A12 := procent*A11: B1:=-1: alpha:=0.000001:

beta1:=0.5: r_nach_1[1]:=0: r_nach_1[2]:=0.2*10^(-2):


iter_psi_c1_1:=proc(t) 0 end proc: iter_psi_c2_1:=proc(t) 0 end proc:
s1[1]:=proc(t) 0 end proc:



for i from 1 to 2 do

_p11 := evalf(dsolve({
diff(p1(t), t) = A11*(p1(t)-'s1'[i](t))+B1*(r_nach_1[i+1](t)-r_nach_1[i](t))+A12*(p1(t)-'s1'[i](t))^2+ss1,
p1(0) = pI1}, numeric,method = dverk78, abserr = 1.*10^(-8), relerr = 1.*10^(-8),optimize,output = listprocedure, known=[s1[i],iter_psi_c1_1,iter_psi_c2_1])):

p1F := rhs(_p11(t1F)[2]):
s1[i+1] := subs(_p11, p1(t)):

q11 := evalf(dsolve({diff(q1(t), t) = c1*r_nach_1[i+1](t), q1(0) = 0},numeric,range=0..t1F,known=[iter_psi_c1_1,iter_psi_c2_1])):

q1F := rhs(q11(t1F)[2]):


F[i]:= beta1*q1F;

_psi_c1_1 :=
evalf(dsolve({
diff(psi_c1_1(t), t) = A11+2*A12*('s1'[i+1](t)-'s1'[i](t))*psi_c1_1(t), psi_c1_1(t1F) =  -1+beta1},numeric,method = dverk78, abserr = 1.*10^(-8), relerr = 1.*10^(-8),optimize,known=[s1[i],s1[i+1]],output=listprocedure)):

_psi_c2_1 :=evalf(dsolve({
diff(psi_c2_1(t), t) = 0, psi_c2_1(t1F) =  -beta1},numeric,output=listprocedure)):
iter_psi_c1_1 := op([2,2],_psi_c1_1):
iter_psi_c2_1 := op([2,2],_psi_c2_1):

r_nach_1[i+2] := t-> r_nach_1[i+1](t) +  alpha*(B1*(iter_psi_c1_1(t)) + (c1*iter_psi_c2_1(t))):

_p11 := evalf(dsolve({
diff(p1(t), t) = A11*(p1(t)-'s1'[i+1](t))+B1*(r_nach_1[i+2](t)-r_nach_1[i+1](t))+A12*(p1(t)-'s1'[i+1](t))^2+ss1,
p1(0) = pI1}, numeric,method = dverk78, abserr = 1.*10^(-8), relerr = 1.*10^(-8),optimize, output = listprocedure, known=[s1[i+1],iter_psi_c1_1,iter_psi_c2_1])):

p1F := rhs(_p11(t1F)[2]):

s1[i+2] := subs(_p11, p1(t)):

q11 := evalf(dsolve({diff(q1(t), t) = c1*r_nach_1[i+2](t), q1(0) = 0},numeric,range=0..t1F,known=[iter_psi_c1_1,iter_psi_c2_1])):

q1F := rhs(q11(t1F)[2]):

F[i+1]:= beta1*q1F;


od:
Error, (in r_nach_1[3]) too many levels of recursion

Is it possible to generate a list of values for a function in the form of an ordered pair, like

a cartesian plane, i.e. ( x, f(x) )? And how can I plot a graph with this output?

thanks in advance.

f:=piecewise(x>0,1+x,x=0,2,x<0,1+x^2)

in my work i must use some parts of this piecewise function.

But i don't know how can i call the part that i will use.

How can i do that ?

Thanks for help

 

Hi:

i will seprate coefficients of a,a^2,a^3 and this coefficients equivalent zero(0) in EQ below,how can i do this?

EQ:= 3.522088319*10^(-10)*a^2*q21(T)+3.522088319*10^(-10)*a^3*q22(T)-6.094634327*10^(-16)*a*q41(T)-6.094634327*10^(-16)*a^2*q42(T)+6.094634327*10^(-16)*a*q51(T)+6.094634327*10^(-16)*a^2*q52(T)-1.106493792*10^(-9)*a*q11(T)-1.106493792*10^(-9)*a^2*q12(T)+2.429209785*10^(-24)*a^2*(diff(q21(T), T, T))+2.429209785*10^(-24)*a^3*(diff(q22(T), T, T)) = 0

I have a table of data arranged in the following columns: Year, Jan, Feb, Mar,..,Dec in Excel or csv

I would like to import this data into a time series in Maple so I can plot the result.

What is the simplest way of doing this?

 

Hi,

I have a mistake in these lines but I d'ont know the exact error. There is no numeric value of g(1,1)=4???????????????  Thanks for your help.

restart;
vvv:=n^2+3*m;  
g:=(n,m)->vvv;
g(1,1);  No display of the value 4
                               

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