MaplePrimes Questions

Wonderful.mw

Hi all

 

I don't know what is its meaning???

 

The plot and the solved Zero-roots aren't coincident with each other...

 

Zero-roots: 7.532332868 Wheras from the plot we noticed that there's a root near 14...

 

And why this Code can't find other Zero-roots?

 

Thanks a lot

I am trying to manually enter some data into some TimeSeries format and then use that in an Animated BubblePlot but there are few examples.  Can someone create an example to show some random data entered in as a time series so that BubblePlot can animate it?  I am having many problems with this.

please I want a clear explanation for the command (contourplot) in the maple?

 

contourplot

Hi Mr Preben Alsholm .

i before asked you about a problem.now i have another question...

for determine unknown parameter oemega(or eigenvalue) according to line ''newsys2 := subs(omega^2 = omega2*10^5,newsys)'' and also line ''approxsoln = [omega2 = 1, f(x) = x^2*(1-x)^2]''

power (5) in term'' 10^5''  in  (omega2*10^5,newsys) and initial guess (1)  (omega2 = 1) are very effective on final result eigenvalues .sometimes gain different eigenvalues ,which it is not impossible recognize that

which one is correct and convege.however i need Positive

 eigenvalue that is minimum between them,If and only if , it converge after
some iteration in two section of maple file which is attached as
Eigenvalue.mw

  According to my code converge occuerd until  eigenvalue gained in first section (before line `11` := ((1+6*alpha2)*(1/12))*(int(fy11^2, x = 0 .. 1))...........) are equal with those obtain in second section .(please see below file for example for_example.mw)

it is necessary mention that between section 1 and 2 is relations.for example amont of first obtained eigenvalue which obtain from first section must be repleaced in line ''approxsoln = [omega2 = 0.661514014001420, h(theta) = theta^2*(1-theta)^2]...........''in second section,

and this procedure should be continued between section 1 and 2 until convergence with desired accuracy occurred.Another relate is that,the first ODE system  can be solved using the first set of boundary data to obtain first estimate for  second section (fy11). At the next step by repeating in the same manner, 

this time by obtained function (g) at the end of maple code (Solution of the second ODE system  with second set of boundary conditions leads to the first estimate of function g),that at this stage, the first iteration is completed.

Now by replacing omega2 which is determined in this section in to the first section ,fy11 is updated and gained Further.

Next, the updated function , by continuing the iterative procedure.

in matlab bvp4c rule is used for this purpose.is this impossible in maple software ?if not please help me for solve and gain correct omega..

thanks alot

How can I add fixed point to the surface in 3 dimensions ?

When I right click on a plot and add a label name for the vertical axis, it is shown in horizontal way next to it, what should I do if I want to have it in a vertical display along the axis written upward?

Hello every one. I writed:

M:=-2,-1,0,1,2:
f:=x->2^x
with(LinearAlgebra);
for i from 2 by 1 to nops(M) do
for j from 2 by 1 to i
Q(i,j)->((x-M[i-j])*Q(i,j-1)-(x-M[i])*Q(i-1,j-1))/(M[i]-M[j-1]):
A:=Matrix(Q,nops(M),nops(M)+1):

end do;
end do;
print(A)
But I don't know wrong in my code. That is Neville algorithm

can you help me? sorry, my English is not very good

Error, invalid piecewise

but

is OK.

How do I make maple to show the values of my variables in my calculation automatically? I want it to look somewhat like this:

https://gyazo.com/df9fe1193091fb771ff99d6187c9195f

Instead of this:

https://gyazo.com/936894920a6cb89082fb94d66f8e4291

 

can someone tell me how can I derive and solve d(g1(x))=0 a complicated function as

I tried with the instructions simplify and combine but without results.

Thanks in advance.

 

 

Plot.mw

Hi all


As you know  in Matlab many Maple Functions didn't define. One of that is   HeunT  function. Now I want to plot that in Matlab, I'm surfing in the net, Unfortunately I can't find it...!

Please help me to get all the data points from my Plot in Maple so that I could plot those in Matlab.

Hello

I have a complex set of Markov Processes in reliability application. To make them simpler for me, as a beginner in Maplesoft, I solve them manually to reach a point where I need inverse Laplace for a set of equations. For illustration, I used a simple example below. If I get the concepts for below example, I can apply them on more complicated systems, as following:

P0(s) = 1/(s+λ)+υ*P1(s)/(s+λ)

P1(s)=γ*P0(s)/(s+υ)

Mannuly I find that:

P0(t)=υ/(s+λ)+λ*exp(-(λ+υ)t)/(υ+λ)

P1(t)=υ/(s+λ)-λ*exp(-(λ+υ)t)/(υ+λ)

Please help me step by step to understand how to solve such inverse Laplace. 

Thank you,

How would I organize the data so I get the value "a" with it's following value in the first two positions on each set?

data:=[["a",13,"b",23],["c",2,"a",14],["d",4,"a",12],["a",8,"e",5],["f",3,"a",2]]

I want to get

[["a",13,"b",23],["a",14,"c",2],["a",12,"d",4],["a",8,"e",5],["a",2,"f",3]]

This is of course a smaller sample size of something larger.  Can someone help me?

 

Hi,

     I have a list of 603 integrals that I want to evaluate. Unfortunately, I can't get Maple to do most of them. Mathematica can do some that Maple can't, and returns an answer in terms of BesselJ functions. So my question is 2-fold

1) Is there a way to make Maple do this integral?
2) If not, is there a way to efficiently convert 603 expessions to Mathematica and back?

 

EXAMPLE INTEGRAL
restart;
assume(k1::real, k2::real, R::real, R>0);
a :=cos(x)*exp(I*(k1*R*sin(x)+k2*R*sin(x)-4*x))*sin(x):
int(a, x=-Pi/2..Pi/2) assuming real;


Thanks! 

restart;

assume(k1::real, k2::real, R::real, R>0);

a :=cos(x)*exp(I*(k1*R*sin(x)+k2*R*sin(x)-4*x))*sin(x)

cos(x)*exp(I*(k1*R*sin(x)+k2*R*sin(x)-4*x))*sin(x)

(1)

int(a, x=-Pi/2..Pi/2) assuming real;

int(cos(x)*exp(I*(k1*R*sin(x)+k2*R*sin(x)-4*x))*sin(x), x = -(1/2)*Pi .. (1/2)*Pi)

(2)

Mathematica Answer

ans := -(1/((k1 + k2)^6*R^6))*2*I*Pi*
(
10*(k1 + k2)^4*Pi*R^4*BesselJ(2, sqrt((k1 + k2)^2*R^2))
+ 2*Pi ((k1 + k2)^2*R^2)^(3/2) (-30 + (k1 + k2)^2*R^2) *BesselJ(3, sqrt((k1 + k2)^2*R^2))
- (k1 + k2)^4*R^4*(-(k1 + k2)*R*cos((k1 + k2)*R) + sin((k1 + k2)*R))
+ 8*(k1 + k2)^2*R^2*(-(k1 + k2)*R*(-6 + (k1 + k2)^2*R^2)*cos((k1 + k2)*R) + 3*(-2 + (k1 + k2)^2*R^2)*sin((k1 + k2)*R))
- 8*(-(k1 + k2)*R*(
120 - 20*k2^2*R^2 + k1^4*R^4 + 4*k1^3*k2*R^4 +

 k2^4*R^4 + 4*k1*k2*R^2*(-10 + k2^2*R^2) +

 k1^2*(-20*R^2 + 6*k2^2*R^4))*cos((k1 + k2)*R) +

 5*(24 - 12*k2^2*R^2 + k1^4*R^4 + 4*k1^3*k2*R^4 + k2^4*R^4 +

 4*k1*k2*R^2*(-6 + k2^2*R^2) +

 6*k1^2*R^2*(-2 + k2^2*R^2))*sin((k1 + k2)*R)
)
);

-(2*I)*Pi*(10*(k1+k2)^4*Pi*R^4*BesselJ(2, (k1+k2)*R)+2*Pi((k1+k2)^2*R^2)^(3/2)*BesselJ(3, (k1+k2)*R)-(k1+k2)^4*R^4*(-(k1+k2)*R*cos((k1+k2)*R)+sin((k1+k2)*R))+8*(k1+k2)^2*R^2*(-(k1+k2)*R*(-6+(k1+k2)^2*R^2)*cos((k1+k2)*R)+3*(-2+(k1+k2)^2*R^2)*sin((k1+k2)*R))+8*(k1+k2)*R*(120-20*R^2*k2^2+k1^4*R^4+4*k1^3*k2*R^4+k2^4*R^4+4*k1*k2*R^2*(R^2*k2^2-10)+k1^2*(6*R^4*k2^2-20*R^2))*cos((k1+k2)*R)-40*(24-12*R^2*k2^2+k1^4*R^4+4*k1^3*k2*R^4+k2^4*R^4+4*k1*k2*R^2*(R^2*k2^2-6)+6*k1^2*R^2*(R^2*k2^2-2))*sin((k1+k2)*R))/((k1+k2)^6*R^6)

(3)

 

 


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