I am trying to illustrate the effects of using finite-precision arithmetic on solving certain linear systems using elementary row operations. I am able to set Digits to the desired level and use the RowOperation command for each individual row operation. I would like to be use say, ReducedRowEchelonForm or LinearSolve with the desired level of precision. Is there anyway to force Maple to use whatever number of digits when using commands like ReducedRowEchelonForm or LinearSolve?...

Now I have written this for loop just intuitively but unfortunately it doesnt work:

x(0):=0.5

for N from 1 to 100 do

x:=proc(n) option remember; eval(r*x(n-1)*(1-x(n-1)),r=4/(100)*N) end proc;

l(N):=[seq(x(n),n=20..100)]

end:

What's the specific problem maple has?

Edit: problem solved: 

for N from 1 to 100 do

x:=proc(n) option remember; eval(r*x(n-1)*(1-x(n-1)),r=4/(100)*N) end proc;

On the test I had today I was asked to find the derivative of x^3+3*cos(x) using the definition of a derivative. The (f(x+h)-f(x))/h type.

So i set my function and then used the definition and then tried to simplify. Unfortunately the bottom h is still there so when I try to evaluate the function when h=0 it returns an obvious problem. It can't divide by zero. Usually when I do this the h on the bottom will be canceled out, but it wouldn't do it for this one. Does...

following expression doesn't simplify to 1

conjugate(1/sqrt(I*t*lambda+m))*sqrt(lambda^2*(t^2)+m^2)*(1/sqrt(I*t*lambda+m))

Now I did use assumptions on any variable

specifically: assume(lambda>0,t>0,m>0)

Then I tried radnormal, simplify, evalc, combine(expr,radical)

But none of these work.

Can maple use a Differential Operator somehow in the following sense?

Instead of expanding (D-p)^n where p is a constant and D the differential operator and n an integer and then in each term writing D^n(f) for some function can I just leave the expression as it is like

(D-p)^n and acting on everything on the right?

While expanding a lengthy expression I get these in mein series expansion

ln(e)^4*cos(argument(e)/z)^2

I guess e is just exp(1) so why does maple not simplify it to 1 ?

and what shall arg(e) mean?

is it zero?

I'm supposed to do the following. I tried to ask my teacher how I could go about doing it and she told me to just figure it out. I am supposed to find the linear and quadratic approximations to the function f at x=a. Then, I'm supposed to sketch the graph of the function and its lienar and quadratic approximations.

The linear approximation is:

P₁(x)= f(a) + fprime(a)*(x-a)

The quadratic approximation is:

P₂(x)= f(a) + fprime(a...

Can maple in any way simplify this any further?

-(1/4)*m*omega*sin((1/2)*omega*T)*(2*cos((1/2)*omega*T)^2*xa^2+2*cos((1/2)*omega*T)^2*xb^2-xa^2-2*xa*xb-xb^2)/((cos((1/2)*omega*T)^2-1)*cos((1/2)*omega*T))

I've tried simplify, radnormal, combine but am wondering why maple does not convert for example the denominator in sin(omega*T) 

How do enter and use the notation of a step function (u(t-3)-u(t-4) in maple to use in calculations? thanks

I think Maple is missing some lines and significant points. Here I leave another contribution to the possible implementation of a new algorithm to draw the circle of Taylor.

Circle_of_Taylor.mw

Atte.

L. Araujo C.

I know how to export to .png or .jpg but I'm not quite pleased with the quality of the images.

Is there a way to export high quality images? i.e. no sharp edges of the function in the plot

Good afternoon Sir.

I request you to help me out in writing Maple procedures to execute, Numerical methods such as

1. Bisection ethod
2. False position method
3. Fixed point iteration
4. Newto-Raphson method
5. Generalized Newton's method
6. Mullers method
7. Graffe's method.

With thanks & regards

M.Anand

How can I use maple to generate the taylor series of y(x+h). I used the syntax taylor(y(x+h), x=0) but it gave the result

Good morning Professor,

I request you to help me How to set single precision arithmetic in Maple?

because, it is needed for some of the problems in finding iterative solutions by using Gauss elimination, conjugate gradient method, etc in Numerical Analysis.

With thanks & regards

M.Anand