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Hello,

I want to calculate the IDs product :

 

Accuracy of substitution

March 02 2012 by mutmurat 0 Maple

I have a question about the accuracy of Maple functions subs and evalf. I have some expressions such as the following: (more complicated). Let's call it f(n).  f(n) is not a polynomial in n or a rational function. It is a function of n involving exponents and four operations. When I plug in a large n in such an expression, would the answer I get (using evalf with some custom accuracy) be exact?  I am trying to prove f(n)/n >= constant....

Hello,

 

I'm doing a math assignment for numerical methods and I had to answer a question - solving Newton's method in maple to submit. I need to solve the question to an accuracy of 10^-5. I don't have access to the software right now as I only have it on the computers at our school, but I did take a maple course in my first year of university and have some experience with it. I wrote up this formula, but I'm not 100% sure if its correct. Could someone...

hi

 

i have written the followin code that achieve Y from determinant of matric aa. but when i change digit my result changes. i dont know why? 

 

> restart;
> with(LinearAlgebra);
> Digits := 100;
>
> NULL;
> upsilon := .38;
> rho := 0.122e4;
> l := 0.176e-4;
> h := 2*0.176e-4;
> L := 20*h;
> NULL;
> E := 0.144e10;
> lambda := E*upsilon/((1+upsilon)*(1-2*upsilon));

Dear all,

I have encoutered a funny problem with Optimization package. I minimize some long stuff (lets call it A) and get an answer, e.g.

[.116553990209052046e-19, [n = 4.24568325257496060, rhocut = 1.66125593854788400, m = 2.00000021862965971, rho = .956914761577446150]]

then i just do

evalf(subs(n = 4.24568325257496060, rhocut = 1.66125593854788400, m = 2.00000021862965971, rho = .956914761577446150, A));

and i get

 

The coefficient of determination also known as R^2 tells how good a fit is. If R^2=1 the fit is perfect an if R^2=0 it's useless. But Maple don't have a native function to calculate R^2. I seached and found this: 
http://www.mapleprimes.com/questions/40171-Determining-An-Equations-Accuracy

But it only describe how to calculate R^2 on a 

I want maple to calculate sqrt(Pi) with an accuracy of (10)^-200 with Newton Raphsons method. How do I do?

I will use this post for a list of conclusions drawn from MRB constant N and the many similar approximations that I have found. 

Let x= MRB Constant.   Each approximation is followed by a maple input so you can verify these approximations. 

Hey folks. I have a massively complicated equation I'm trying to solve and the internal memory can't take it.

 

Here is the problem.

 

Let f(x) := 1 - lambda*x^2

alpha := 1/f(1)

 

By solving the following equation,

 

alpha*f(f(x/alpha)) = f(x) + O(x^4)

 

We can determine a value of lambda and hence alpha (for which the real value is roughly -2.5 and the calculated value here is roughly -2.7).

Is anyone aware of Maple code intended to do some of the floating-point stress tests like are done in Kahan's paranoia code? (See here.)

I realize that modern Maple claims to comply with IEEE 854, 754, etc. But I like to check some things for myself. Call me paranoid. ;)

acer

I want to report some progress in finding a closed-form for the MRB constant.

I found a sequence of closed-forms involving the MRB that gives "0." with interesting accuracy far beyond machine precision. To see it for yourself, simply plot 1 + Sin[Pi*(5060936308 + 78389363*Floor[n])/m],
where m is the MRB Constant, for n in any given domain. It is

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