MaplePrimes Questions

There have come unwanted lines and marks . I donot know how to remove them. Using doc.block, remove block seems to be little tough to incorporate! Please enlighten me. Modified doc. is most welcome. Thanks. Ramakrishnan V 

Gaussian Elimination Method

 

 

Given*the*equations

  restartreset:

with(Student[LinearAlgebra])``

(1)
Coefficient Tanle

Equation 1

Equation 2

Equation 3

Equations

`m__1,1` := 3:
`` 

`m__2,1` := 2:
``

`m__3,1` := 1:
``

`m__1,1`*x__1+`m__1,2`*y+`m__1,3`*z = `m__1,4`; = 3*x__1+y-z = 3

`m__2,1`*x__1+`m__2,2`*y+`m__2,3`*z = `m__2,4`; = 2*x__1-8*y+z = -5

```m__3,1`*x__1+`m__3,2`*y+`m__3,3`*z = `m__3,4`; = x__1-2*y+9*z = 8

The equations in matrix form is given by

Matrix([[3, 1, -1, 3], [2, -8, 1, -5], [1, -2, 9, 8]])

(2)

The Gaussian Elimination gives the simplified natrix equation as given below:

Matrix([[3, 1, -1, 3], [0, -26/3, 5/3, -7], [0, 0, 231/26, 231/26]])

(3)

``The equations in simplified form are:

3*x+y-z = 3

(4)

-(26/3)*y+(5/3)*z = -7

(5)

(231/26)*z = 231/26

(6)

``

The aolution ia obtained by solving the above equations in reverse order

{x = 1, y = 1, z = 1}

(7)

 

``

 

Download GausianFinal15Nov2015.mwGausianFinal15Nov2015.mw

hello eveyone! sorry, my English is not very good

I writed Neville algorithm

I want to creat a table(or a matrix) Q with

example:

f:=X->2^X;

with value of X: -2,1,0,1,2

-2   1/4

-1    1/2

0    1

1    2

2     4

I want to approximate f at x=0.5 by Neville

then:   for i:=2,...,n   (that case is 5)

             for j:=2,...i

 

                  Q[i,j]=(x-X[i-j])*Q[i,j-1]-(x-X[i])*Q[i-1,j-1])/(X[i]-X[i-j])

       output(Q)

this is:

-2  1/4     0       0            0          0

-1  1/2     0.875  0           0           0

0  1         1.25   1.3475    0           0

1  2         1.5    1.4375   1.421875  0

2  4         1      1.375      1.40625  1.412109375


do you understand my mind? sorry, my English is not very good

Regards

   sunflower

hi all

i have a complex numeric like s. 

how can i calculate s

There are the complexes (C), quaternions (H or Q), octionions (O), sedenions (S) and the pathions (P). I have found the multiplication tables of them, although according to signs (+ or -) there differents at pathions. The important question is that How can I multiply two bases, i_n and i_m of higher dimensions, like in the routions or in the voudions?

Should I xor the indexes of the bases? Like this way: i_1 * i_2 = i_(1^2) = i_3

What is about the signs?

Hello,

I would like to plot an non linear oscillator.

The equations are the following:

r:=sqrt((x(t)/a)^2+(z(t)/b)^2);
eqx:=diff(x(t),t)=alpha*(1-r^2)*x+wa/b*z(t);
eqz:=diff(z(t),t)=beta*(1-r^2)*y+wb/a*x(t);
EqSys:=[eqx,eqz];

The constants are the following :

alpha:=1:
beta:=1:
a=0.4:
b=0.2:
w=1:

I didn't manage with Deplots. May you help me to plot this oscillator?

Thank a lot for your help and ideas

I'm trying to solve the differential equation.

Eq := diff(y(x), x, x) = -(x^2+1)*y(x)+K;

dsolve({Eq, y(-1) = 0, y(1) = 0}, y(x));

But this not work very well.

Best Regards,

 

I am using Maple 15, and before that Maple 8 and Maple 13. While using the versions 13 and 15, 

I come across with this problem; I cannot copy an output and use it as input. In Maple 8, I was able to do this but in 

these improved versions, it seems that it is not possible. Is there a way to solve this problem? I saw some answers about this

problem suggesting to change launch.ini file. But I could not apply this suggestion, since it is not permitted by the system. 

pde1 := 4*x*(diff(u(x, y), x))-2.*u(x, y)-y*(diff(u(x, y), y))+diff(v(x, y), y) = 0; pde2 := 4.*x.u(x, y).(diff(u(x, y), x))+(v(x, y)-y.u(x, y)).(diff(u(x, y), y))+2.*u(x, y)^2 = diff(u(x, y), `$`(y, 2))+theta(x, y); pde3 := 8.*u(x, y).theta(x, y)+4.*x.u(x, y).(diff(theta(x, y), x))+(v(x, y)+y.u(x, y)).(diff(theta(x, y), y)) = 1/100.(diff(theta(x, y), `$`(y, 2))); bc1 := u(x, 0) = 0, v(x, 0) = 0, theta(x, 0) = 1; bc2 := u(0, y) = 0, v(0, y) = 0, theta(0, y) = 0; bc3 := u(x, 20) = 0, theta(x, 20) = 0hello dear
how can i solve this three couplde pde?please help me

The word command for square root is sqrt.  What is the word command for square?  How to square all the values in a list?

 

Hi everyone, I'd like to know if it's possible to use the startup code editor as a general editor when writing large programs. It nicely recognizes keywords such as "if" and "proc" and you can indent code using TAB. However I'm not sure whether you can/should use it as a general editor to run code. I've read something about user-profiles related to the startup code but I just don't understand how it works.

I related two Text Area Components by using the codes "Do(%text_beta_radian=evalf(%text_beta_degress/180*Pi))".

I wanna know what codes can refresh the display of the text area component with name%text_beta_radian

after I change the input value of that%text_beta_degress?

Hey, I need to answer this question, not sure where to start..Any help/tips would be much appreciated....

 

Bob wants to explore the effect of changes in a, b and c on the function h, where h(x, y) = ∂ 2 /∂x∂y (ay sin(bx + c)). How should Bob do this so that if he redefines the variables a, b, or c later in the Maple session, subsequently computed function values h(x) use the new values of a, b, c?

that can run without maple using my own maple code?

And how about Maplesim? I heard that Maplesim can generate executable file

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