Jacobi...

any info on the Jacobi iterative scheme

jacbi iterative schemes...

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)

partition function...

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) .

calculus...

Hi. I have a couple of questions:

True or false? Why?

1. If f and g are differentiable and f(x) is greater than or equal to g(x) for a<x<b, then f ' (x) is greater than or equal to g ' (x) for a<x<b.

2. All continuous functions have antiderivatives.

Thanks!

I want both positive and negative values of roots....

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

Algebra...

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

(4a- 3ab + 2b) + [ (2a- 4b) - ab ]

Is Maple TA "widely used"?...

We are contemplating using Maple TA.  I have been playing with a trial and it looks quite good.

If you read the Maplesoft advertising,  you get the impresion that a lot of Universities out there are using TA.

On the other hand, the (rather variable quality) mapleapps question banks resource does not really contain a huge amount of material.

semilotplot: ticks and gridlines don't line up....

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

Calculate when something is real...

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.

Thanks

How to make a contourplot go through a particular ...

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;

LinearFit "variancecovariance" matrix calculation ...

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.

Basis of a set of matrices...

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?

How do I make the animation of a DEplot slower wit...

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

Do you know any antiderivative that maple can't fi...

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.