Maple 18 Questions and Posts

These are Posts and Questions associated with the product, Maple 18

This must have a simple answer but I have been unable to figure it out after many attempts. 

I am trying to create a Clifford algebra, and then use the results in the multiplication table "MT". The multiplication table elements are correct as displayed, but I don't know how to access the results in the table (i.e. the products of the basis elements).  For example, trying to access the table results as matrix elements like MT[2,3] doesn't work, presumably because it is not a matrix. In other words, I need a matrix that contains the same information as the multiplication table.

DGsetup([x, y, z], M);
I12 := Matrix([[-1, 0, 0], [0, -1, 0], [0, 0, -1]]);
AD3b := AlgebraLibraryData("Clifford(3)", Cl3Q, quadraticform = I12);
DGsetup(AD3b, '[e0, e1, e2, e3, e12, e13, e23, e123]', '[omega]');
MT := MultiplicationTable(Cl3Q, "AlgebraTable");

 

Hi everyone, i am using Maple 18 and i have a problem in converting a equation to a nice polynomial form (a cubic equation with a form of A*x^3+B*x^2+C*x+D), can anyone please help me on the command? Thanks in advance.

My equation is "  d := s*x*(E*K*q-K*r+K*sigma[1]+r*x)*(1-x*(E*K*q-K*r+K*sigma[1]+r*x)/(K*sigma[2]*L))/(K*sigma[2])+sigma[1]*x-x*(E*K*q-K*r+K*sigma[1]+r*x)/K  " or for simplicity is

 

Can someone please teach me on the command? Really appreciate the help!

Hello, thanks for read me

I don't know why my code don't work, I'm trying to calculate the magnitude of a complex vector but I get a error in the next image you can view it, 

 

Can someone help me? thank you

Greetings People!

I am modelling a dynamical system using variational formulation. The final step is to plug in, the energy values, in the Euler-Lagrange Equation. The functional has both explicit dependence on time, and implicit dependence (in the form of the generalised coordinate). Since motive of the exercise is to obtain the governing equations for the generalized coordinates, this implicit dependence is unknown. How can Maple be used to derive the differential equations in this situation?

 

As an example, consider,

Here, ld and l are variables, which are function of time. In order to calculate the term,

How do I proceed? Thanks in advance.

Good day, I need to 2D plot from points which I get by solving numerically 17-degree equations. Firstly I take an only first solution of the equation as below, and I have a Matrix with 3 column which represents X, Y, and VALUE respectively. On the left side should be the first column ( X ), and right axis Y (2. column). As seen from Matrix X and Y getting the value between 0 and 10. Is there any option that I can plot my data in 2D?  Thanks in advance.


points := seq(seq(seq(Fun[n, i, j], n = 0 .. step), i = 0 .. step), j = 1);
Mat := Matrix((step+1)^2, 3, [points]);
         .                             X                  Y                 VALUE
           
with(plots);
pointplot3d(Mat, style = point, color = black);
 
 

i want to solve the system of equation ( 1 )  , (2)  ,  (3)   under the assumation that x , y have the CDF in (4)  ,  (5)
 

diff(L(lambda[1], lambda[2], alpha), lambda[1]) = n/lambda[1]+sum(x[i], i = 1 .. n)-(sum(2*x[i]*exp(lambda[1])/(exp(x__i*`λ__1`)-1+alpha), i = 1 .. n))

diff(L(lambda[1], lambda[2], alpha), lambda[1]) = n/lambda[1]+sum(x[i], i = 1 .. n)-(sum(2*x[i]*exp(lambda[1])/(exp(x__i*`λ__1`)-1+alpha), i = 1 .. n))

(1)

diff(L(lambda[1], lambda[2], alpha), lambda[2]) = m/lambda[2]+sum(y[j], j = 1 .. m)-(sum(2*y[j]*exp(lambda[2])/(exp(y__j*`λ__2`)-1+alpha), j = 1 .. m))

diff(L(lambda[1], lambda[2], alpha), lambda[2]) = m/lambda[2]+sum(y[j], j = 1 .. m)-(sum(2*y[j]*exp(lambda[2])/(exp(y__j*`λ__2`)-1+alpha), j = 1 .. m))

(2)

diff(L(lambda[1], lambda[2], alpha), alpha) = (n+m)/alpha-(sum(2/(exp(x[i]*`λ__1`)-1+alpha), i = 1 .. n))-(sum(2/(exp(y[j]*`λ__2`)-1+alpha), j = 1 .. m))

diff(L(lambda[1], lambda[2], alpha), alpha) = (n+m)/alpha-(sum(2/(exp(x[i]*`λ__1`)-1+alpha), i = 1 .. n))-(sum(2/(exp(y[j]*`λ__2`)-1+alpha), j = 1 .. m))

(3)

G(x, lambda[1], alpha) = 1-alpha/(exp(lambda[1]*x)-1+alpha)

G(x, lambda[1], alpha) = 1-alpha/(exp(lambda[1]*x)-1+alpha)

(4)

G(y, lambda[2], alpha) = 1-alpha/(exp(lambda[2]*x)-1+alpha)

G(y, lambda[2], alpha) = 1-alpha/(exp(lambda[2]*x)-1+alpha)

(5)

``

``


 

Download internet.mw

How do we write code for optimal problem using Pontryagin's maximum principle for simulation.

Use the command 'matrix' to define a matrix, and how to call the first row elements of the matrix?

This method

a:=matrix([[1,2,3],[4,5,6],[7,8,9]]);

a[1..2,-2..-1], does not work? Why?


How do I?
I'm very new in Maple, just I wanna learn a lot but i don't know where to start.
I have to find x,y, Tl, Th and Ti

Maybe we can help me at least a litle bit :D
thanks

 

 

Hello,

Maple 18. I just got a 4K monitor and the filenames and bottom toolbar are far too small. Is there any way to resize them? Does the same problem exist on later versions?

Thank you.

In Maple18.02:

Hso := Matrix(8, {(1, 4) = -x, (1, 6) = I*x, (2, 3) = x, (2, 5) = I*x, (3, 2) = x, (3, 5) = -I*z, (3, 8) = y, (4, 1) = -x, (4, 6) = I*z, (4, 7) = -y, (5, 2) = -I*x, (5, 3) = I*z, (5, 8) = -I*y, (6, 1) = -I*x, (6, 4) = -I*z, (6, 7) = -I*y, (7, 4) = -y, (7, 6) = I*y, (8, 3) = y, (8, 5) = I*y})

av, AV := LinearAlgebra[Eigenvectors](Hso)

Error, (in Polynomial:-Quadratic) type `truefalseFAIL` does not exist


This does not happen in Maple17.

Dear All

I have a trignometric function and I plotted it in 2D. It is visible from the graph that the function has Maxima and Minima. My question is, can I located all values
 

0.12981e-1+0.80285e-1*cos(.9519256799*x)+0.41370e-1*cos(1.903851360*x)+0.35690e-1*cos(2.855777040*x)+0.147e-3*cos(3.807702720*x)

0.12981e-1+0.80285e-1*cos(.9519256799*x)+0.41370e-1*cos(1.903851360*x)+0.35690e-1*cos(2.855777040*x)+0.147e-3*cos(3.807702720*x)

(1)

plot(diff(0.12981e-1+0.80285e-1*cos(.9519256799*x)+0.41370e-1*cos(1.903851360*x)+0.35690e-1*cos(2.855777040*x)+0.147e-3*cos(3.807702720*x), x), x = -6.2 .. 6.2)

 

``


 

Download Max_Min_from_Graph.mw

of "x" corresponding to these Max. and Min. ?

Dear friends

I have a long-running code that sometimes takes an hour to complete. I wonder is there a way to find out what line of code is currently running in a long-running maple code or to show an update of the variables. I have some print commands but are shown just after completion not before. 

Thank you in advance for your time.

I solved this (aq1) equation and got a set of answers, but when I want to solve another equation (aq) that is like (aq1)  it took a long time and I stopped progressing.

aq1 := -6.801867*10^(-32)*omega^16+(2.20054799*10^(-46)*I)*omega^23+(6.14329398*10^(-52)*I)*omega^25+(1.*10^(-11)*I)*omega^3+(2.*10^(-14)*I)*omega^5+(9.*10^(-10)*I)*omega+(2.*10^(-25)*I)*omega^11+5.95367451*10^(-12)*omega^8-2.10490578*10^(-16)*omega^10+3.6487095*10^(-21)*omega^12-3.4507372*10^(-26)*omega^14-4.53641375*10^(-54)*omega^26-1.844174702*10^(-48)*omega^24-.2318547310*omega^2+0.2767383695e-3*omega^4+15.23320543-2.607001427*10^(-43)*omega^22-1.252442537*10^(-38)*omega^20-1.58024603*10^(-34)*omega^18-(4.8*10^(-28)*I)*omega^13+(2.68604*10^(-29)*I)*omega^15+(1.4639509*10^(-32)*I)*omega^17+(1.21776770*10^(-36)*I)*omega^19+(2.77270182*10^(-41)*I)*omega^21-7.070170160*10^(-8)*omega^6

sd1 := solve(aq1)

aq := (2.626145*10^(-111)*I)*beta^41+(2.723460372*10^(-55)*I)*beta^25-1.125718*10^(-103)*beta^38-4.42696*10^(-96)*beta^36+(4.038976*10^(-119)*I)*beta^43+(1.897840*10^(-135)*I)*beta^47-1.4537*10^(-128)*beta^44-2.393897*10^(-75)*beta^30-5.345113*10^(-69)*beta^28-(8.88232*10^(-14)*I)*beta^7+(3.78162*10^(-127)*I)*beta^45+(1.87236321*10^(-39)*I)*beta^19-4.22943*10^(-111)*beta^40-5.98764*10^(-82)*beta^32+(1.73215*10^(-27)*I)*beta^13+(3.14576*10^(-144)*I)*beta^49+1.0000002*10^(-150)*beta^50+1.000483*10^(-142)*beta^48+(0.5707492e-4*I)*beta-1.860356732*10^(-56)*beta^26-1.202764308*10^(-50)*beta^24+0.1078870970e-3*beta^4-.1337634356*beta^2+(4.558807*10^(-82)*I)*beta^33+11.99907662+(1.552482870*10^(-49)*I)*beta^23+1.50289073*10^(-33)*beta^16+(4.738072*10^(-89)*I)*beta^35-2.560992731*10^(-45)*beta^22-1.821396189*10^(-40)*beta^20+1.*10^(-159)*beta^52-1.025045*10^(-118)*beta^42-2.708307310*10^(-27)*beta^14-2.880*10^(-137)*beta^46+3.616579272*10^(-22)*beta^12-2.775313578*10^(-17)*beta^10+(2.247453*10^(-75)*I)*beta^31+(4.317773*10^(-69)*I)*beta^29-(8.4742656*10^(-63)*I)*beta^27+(1.086756*10^(-103)*I)*beta^39+(2.875650*10^(-96)*I)*beta^37+(2.927689932*10^(-44)*I)*beta^21+(5.19084*10^(-18)*I)*beta^9+(3.3203077*10^(-35)*I)*beta^17-1.867365177*10^(-8)*beta^6+1.091287414*10^(-12)*beta^8-3.549248092*10^(-36)*beta^18-6.89128*10^(-89)*beta^34-(1.32011*10^(-22)*I)*beta^11+(8.67973*10^(-32)*I)*beta^15+(5.131768*10^(-10)*I)*beta^5-(6.362604*10^(-7)*I)*beta^3-(5.75387*10^(-153)*I)*beta^51

How can I solve (aq) ?

I am trying to calculate the integral

where

Maple cannot calculate the integral. I tried to expand theta in the series form and substitute in the integral, still cannot calculate it.

any suggestion to tackle this problem whould be helpful.

Thank you

 

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