MaplePrimes Questions

Hi All,

I have been using trignometric functions where the inputs are sometimes intergers. When ever I am having an interger as argument for trignometric functions the out is unevaluated.

expression := 3*sin(z)+9*sin(x)*(1/4);
values := [x = 1, z = 1.570796327];

Now if I evaluate the above expression
eval(expression, values);
output is something like below
3.+9*sin(1)*(1/4)

 

but if I change the x value from 1 to 1.0

expression := 3*sin(z)+9*sin(x)*(1/4); values := [x = 1.0, z = 1.570796327];
My output is 4.893309716;

I am doing ths inside a procedure hence I cannot change the values to float manually, Is it possible to change the intergers to floats when using trig functions??

Thank you

I have written a procedure in which the content is written as either for loop or add commands. Since this procedure need to be evaluated around 1-1.5 lakhs times during iteration (running an iterative method) I need to know which of the two procedure will consume less memory. The whole calculation takes 4 gb. So i am trying to optimize the code. Thank you.

 

procedure_new.mw

Hey,

I have just started using Maple for my university project and I am follwing this guide https://www.maplesoft.com/support/help/maple/view.aspx?path=DifferentialGeometry%2FTensor%2FKillingVectors to calculate Killing Vectors. My issue is that when I try and define a metric using evalDG, I need to write dx&tdx to mean the tensor product between the two. Maple interperates this as a neutral operator and gives me "Error, invalid neutral operator".

I am not sure where the issue is as I have written exactly the same code as the guide and yet it gives me an error 3 lines in. Is there some issue that I am not aware of as someone who hasn't used Maple before? Any advice would be useful as I am not really sure how it is possible and I need to be able to write the tensor product to define the metric. 

 

Even for the simplest metric it does not work. My code is:

with(DifferentialGeometry): with(Tensor): with(LieAlgebras):
DGsetup([x, y], M):
g1:=evalDG( dx&tdx):
 

Any help would be greatly appreciated.

 

Suppose that A is an nxn matrix over the finite field Z:=GF(2,q) for some q. I wan to get the smitform of A over Z. First I used the package  

with(LinearAlgebra[Generic]) 

and after that I applied the command 

S := SmithForm[Z](A)

but the mentioned command made some errors. In fact, I do not how to define commands igcdex, iquo, irem, sign and abs for SmithForm over finite fields.

Thanks for any suggestions 

how I can find solutions for non linear equations.

I want to find non zero solution.

thank you

ZAH.mw



Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/ZAH.mw .
 

Download ZAH.mw

I get this problem in a paper published in 2011. there is a table which compares the solution of a differential equation and gives the range of initial guesses. I got confused when saw maple and approximated maple, please any help me 

I'm attaching the link of paper. Please have a look at table 3. 

https://www.sciencedirect.com/science/article/pii/S0098135411000056

Hi, Maple is totally new to me and I found something confusing.

Here is what I have:

the_first_element:= proc( A:: Array( numeric ) ) ;
A[1];
end proc():

And it shows Error, invalid input: unknown uses a 1st argument, A (of type Array(numeric)), which is missing.

 

But in another similar procedure, I have exactly the same lines but it goes without error. 

locate_max := proc( A :: Array( numeric ) )
if ArrayNumDims(A) <> 1 then
    error "can only search 1d arrays"
  end if:
end proc: 

I have no idea what is wrong with these 4 lines.

Thank you in advance!

If I add "restart" to a program, then interface(imaginaryunit=j) don't work. Why? 

***********************************
restart;
interface(imaginaryunit = j);
j^2;
************************************
The output is j^2  but the output should be -1. 

 

Dear all,
How can I input different spacesteps in numerical solution of PDE (Heat equation) with pdsolve of Maple?

For example, the x range is x=0..L,
and I'd like to solve the PDE with spacestep1=L/100 for x=0..a and spacestep2=L/10 for x=a..L.

Thank you in advance!

Hi,

How to generate the whole table of quantiles for a normal reduced centered N(0,1)?

 

restart;
Chargement Statistics
X := RandomVariable(Normal(0, 1));
                            X := _R
Statistics[Quantile](X, 0.1e-1);
                       -2.32634787404074

 

 

 

Hi,

Does maple have the ability to create probability trees / branch plots? (representing a sample space).  I would like to represent a problem more elegantly while learning how to use the software.  For example, a sample space that can be represented could be a coin toss.

Hi guys,

I have got serious problem with solving this system of ODE, where psi is equal to 10*sqrt(da) and uB,E,kL,uc are constants:


firstly I have to find missing initial condition using shooting method and calculate cA(z=2) using Runge-Kutta 4th order then. And plot following concentration profile for cA and dA. So far, I have dealt with first diff eq 2nd order dividing by two diff eq of 1st order using mentioned constants so I got these ones:

  dy[1]:=y2(z);
  dy[2]:=1.000000000*sqrt(y1(z))-6.000000000*y2(z)-10.00000000*y3(z);   
  dy[3]:=-0.8333333333e-2*sqrt(y1(z))-0.8333333333e-1*y3(z);
 

I understand I need a condition da(z=0) that I should obtain using shooting method, but I do not know how to do it in spite of I understand it in theoretical way. And same problem I have with RK4th order. Anybody here with a hint, please? 


There is my maple file (unfinished version of mine): maple-shoot_RK4.mw

Why Maple doesn't calculate this and only rewrites it??

 

with(inttrans);

invlaplace(exp((0.2500000000e-1-2.500000000*sqrt(0.116e-3+.8*p-3.2*10^(-10)/(p+0.2e-4)))*x)/p, p, t);
     
 

restart;
with(LinearAlgebra);
help("&x");
`&x` := proc (x, y) options operator, arrow; 2*x+3*y end proc;

`&x`(a, b);

[x[1], y[1]]+[x[2], y[2]];
                   [x[2] + x[1], y[2] + y[1]]
'&.':=proc(u,v)  eval([u[1]*v[1]-u[2]*v[2]],[u[1]*v[2]+u[2]*v[1]]  end proc:
Error, unable to match delimiters
Typesetting:-mambiguous(Typesetting:-mambiguous(primeampperiod

  primeAssignproc(ucommav)  evallpar(u(1)sdotv(1) - u(2)sdotv(2))

  comma(u(1)sdotv(2) + u(2)sdotv(1))  end proccolon,

  Typesetting:-merror("unable to match delimiters")))
&. ([x[1],y[1]],[x[2],y]]);
Error, unable to match delimiters
   Typesetting:-mambiguous(Typesetting:-mambiguous(

     ampperiod lpar(x(1)y(1))comma(x(2)commay)rsqbrparsemi,

     Typesetting:-merror("unable to match delimiters")))
f := proc (x1, y1, x2, y2) options operator, arrow; x1*x2-y1y2 end proc;
(x1, y1, x2, y2) -> x1 x2 - y1y2
f := proc (x1, y1, x2, y2) options operator, arrow; x1*x2-y1y2, x1*y2+y1*x2 end proc;
(x1, y1, x2, y2) -> x1 x2 - y1y2, x1 y2 + y1 x2

 

I am on a Mac and unable to login to MapleCloud. I can log in perfectly fine via the website in all browsers. Any solutions for this?

 

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