any info on the Jacobi iterative scheme

to get me started. please

consider the system

2x1 + x2     = 1

 x1 + 4x2 + x3 = -1

           x2 + 2x3=3

Find x using the Jacobi iterative scheme with x= (0,0,0)

My colleague at the university next week give a lecture where he tells about the Hardy-Ramanujan partition functions, the usual

notations are p(n) and q(n). He asked me, could I calculate by Maple a definite integral, because the answer was yes, then he

would say "by Maple".  I tried it in different ways, but no success. Could someone calculate it?

The exact result is  -1/2 ln (2 Pi) .

hey guys.. ive been trying to get the root of the following equation.. but watever i do i am getting only the positive value.. and i have another equation which has 5 answers.. but only 1 is being shown.. can u help me out??

>f0:=x->x/(sqrt(x^2 + cos(x-1))):
>f1:=D(f0):
>f2:=D(f1):
>a:=fsolve(f1(x)=0,x);
                                a:=3.639062685
 

hi, how do i perform the following operation and simplfy?

(4a- 3ab + 2b) + [ (2a- 4b) - ab ]

Hello all,

When I tried to plot with "semilogplot" command, I've found the ticks on the x-axis and the vertical grids do not line up. This is with Maple 10. Would somebody tell me if there is a way to line them up?

with(plots):

semilogplot(log[10](x), x=1..1000, gridlines=true);

Thank you.

Chin Li

Hi there.

I have two vectors:

x1:= [ ( 1+sqrt(1-4*a^2) )/(2*a) , ( 1+sqrt(1-4*a^2) )/2 ];

x2:= [ ( 1-sqrt(1-4*a^2) )/(2*a) , ( 1-sqrt(1-4*a^2) )/2 ];

I have the following questions to complete:

(2)Determine when x1 and x2 are both real

(3)Determine the largest interval I=(c,d) (with d>0) such that x1 and x2 are real and distinct.

The answers are obvious on paper, but I have to calculate this with Maple.  How do I go about this?

Thanks

Probably the easiest way to explain this is to show you what I want to do. I want to draw a contourplot which shows the contour lines going through the points [0,-1] and [3/4,-7/16] (these are the expression's stationary points).  The values of f at each of these points respectively are 1 and 101/128, so I have tried to display these contours, but when the graph comes up, the contour lines don't go through the point [3/4,-7/16], although they do go through [0,-1]. The code I'm trying to use is below.

f(x,y):=x^3-3*x*y+2*y^2-3*x+4*y+3;

Dear all,

I'm trying to duplicate by hand the variancecovariance matrix (and stanard error vector) of a simple LinearFit of data (2nd order function of form a + bx + cx^2), using the inverse of the curvature matrix as in Chapter 15 "Modeling of Data" of the Numerical Algorithms book 3rd Edition, or the paper by Keith H. burrell "Error analysis for parameters determined in nonlinwear least-squares fits", American journal of Physics, Vol. 58, No. 2, 160-164 (1990). Unfortunately, I cannot get the same answer, even with simple unweighted examples.

Hi,

I know it is possible to find a basis from a set of vectors using the 'basis' command but is it possible to find a basis from a set of matrices?

As an example it is shown, how one convert a (simple) trigonometric equation into a polynomial problem and use Maple
to find a symbolic answer for the equation. The idea is to use the so called Joukowsky transform, which maps the circle
to the interval [-1, ... , +1].

I would have liked to simplify the result (as it is real in my case), but gave up. May be others have a good idea for that.

I'm trying to make it animate slowly without having to click the 'decrease frame rate' button. Does anyone know if there's something I can put in the code to make it do this?

Thanks

I need to find an example of a function of one variable that has an antiderivative that can be expressed very simply in terms of fuctions that a 1st-year calculus student would know, but int (command name in maple) can't find an antiderivative.

Hint: Start with the antiderivative F(x), and get f(x) by differentiating it and simplifying. You might try something involving a few square roots and logarithms or exponentials or trigonometric functions.

I need to find an example of a function of one variable that has an antiderivative that can be expressed very simply in terms of fuctions that a 1st-year calculus student would know, but int (command name in maple) can't find an antiderivative.

Hint: Start with the antiderivative F(x), and get f(x) by differentiating it and simplifying. You might try something involving a few square roots and logarithms or exponentials or trigonometric functions.

     I am trying to do a "radial" polar plot.  Yes, I know Maple can do polar plots, but their axes are always in the x-y direction.  I am looking for a polar plot that is round with the angle (theta)  labeled around the circle in degrees., and the value 'R' as the length from the center of the circle.  There should also be concentric circles marked with the distance from the center point so as to provide a scale for the R value.  So the grid looks like a round spiderweb.  Can Maple do this easily?  I looked all over the docum