MaplePrimes Questions

let A be a matrix=

 

[  7        7      9    -17

   6        6      1    -2

 -12    -12    -27    1

   7       7      17   -15 ]

What is the reduced row echelon form of A?

What is the rank of A?

A consistent system of linear equations in 14 unknowns is reduced to row echelon form. There are then 10 non-zero rows (i.e. 10 pivots). How many parameters (free variables) will occur in the solution?

I failed to solve the ODE system shown as follows, where y1(x) and y2(x) are functions of x, ranging from -L/2 to L/2. All the other parameters are constants (A,B,C,F,G). The analytic or numeric solution of y1(x) and y2(x) are wanted.Really appreciate for you experts' help and time!!!

dsys:={diff(y1(x),x$2)-A*x^2*y1=B*diff(y2(x),x$3),diff(y2(x),x$2)-C*diff(y1(x),x)=F*x^2+G}

boundary conditions:y1(0)=0, diff(y2(L/2),x$2)=0, D(y2)(0)=0, y2(L/2)=0

 

 

RandomCompositions:= module()
local
Compositions, Rand,

RandomCompositions:= module()
local
Compositions, Rand,
ModuleApply:= proc(n::posint, k::posint)
local C;
Compositions:= [seq(C-~1, C= combinat:-composition(n+k, k))];
Rand:= rand(1..nops(Compositions));
()-> Compositions[Rand()]
end proc;

end module:
R:= RandomCompositions(8,6):
seq(R(),i=1..10);

[0, 0, 2, 6, 0, 0], [1, 0, 0, 3, 4, 0], [0, 3, 3, 2, 0, 0],[1, 2, 4, 0, 1, 0], [0, 4, 0, 1, 3, 0],

[2, 0, 1, 4, 1, 0],[2, 0, 1, 1, 3, 1], [1, 0, 4, 2, 1, 0], [1, 3, 0, 2, 0, 2],[2, 0, 3, 2, 1, 0]

with(Statistics):
Tally(R());
[0 = 1, 1 = 4, 4 = 1]

I want to count the 0 to 8 respectively summation,and divide by i.

 But the  seq command  R() isn't conform  with Tally command R() .

Thanks.

 

Greetings

I am left wondering why evalf as well as right clicking and selecting approximate both are in error.

Try 1/2*sqrt(109) and find a solution with 5 digits (english isnt my first language so the wording may not be correct).

If you calculate it as 1/2*sqrt(109.0) you correctly get 5.2202

However, if you use evalf(1/2*sqrt(109)) or 1/2*sqrt(109) then right click and approximate with 5 digits you incorrectly get 5.2200.

I assume this is because both incorrectly round to 5 digits on sqrt(109) before dividing by 2 - a common mistake for very inexperienced students but surely not something I would expect from Maple.

Please explain and better yet fix. Thanks.

i'm going to solve the two eq. and plot the answer point

i try to do two group but the first succeed the second get some wrong

the first i named 1 ,and second named 2 as below

the 1 plot the correct point that i want

Although the 2 solve eq too but it didn't plot the point on(-0.36,0.29),

the code of this two is same ,

anyone can help me?

1.mw

 

 

 

 

2.mw

Hello.

I am trying to extract all the coefficients of a linear equation by calling coeffs function.

eq := 1.2*a[2]+1.3*a[3]+1.1*a[1]+1.0

1.2*a[2]+1.3*a[3]+1.1*a[1]+1.0

(1)

 

vars := [seq(a[i], i = 1 .. 3)]

[a[1], a[2], a[3]]

(2)

coeffs(eq, vars)

1.0, 1.2, 1.3, 1.1

(3)

``


I expected I receive the coefficients in the same order as in vars variable, but I was wrong. How to extract coefficients in the order I need?

Download test.mw

 

Hello,

in Kurzweil und Stellmacher "Theorie der endlichen Gruppen" page 97, Exercice 3 I have read

Is G nilpotent then G is cyclic.

I have found that if G is nilpotent it must not be cyclic.

Can anybody tell me whether I am right or not?

 

Best Regards

Kurt Ewald

Is there a way to open a classic worksheet in macintosh, even running windows through a virtual machine?

Hi there

I'm working with maple 13 (2d input) and I would like to hide the input in a worksheet, as follows:

view > show/hide contents > (unchecking) input

however i want to insert comments as text that will remain in my worksheet. Using '#' doesn't help, coz they get hidden too.

Couldn't sort out how to do this, any tips?

cheers

cilrcle.mw

i want to plot a circle which is centered at(0,0),and the radius is the length of Point2 and origin

but it shows some error,how could i do to solve this

 

cilrcle.mw

i want to plot a circle with that centered at (0,0),and the radius is the length of Point2 and orgin

but it shows the error

how could i do to solve this

 

 

 

 

 

 

 

 

color.mw

how can i do if i  want to change the color of point1 which is rotated from point2

i want to make point2 red , and point1 is black , but the point1 is still  red

anyone can help me? thx

Hello People in mapleprimes,

 

I want to know how to factor the denominator of the first term in the right hand side, using commands not clickable math.

And, I know applyop can be used in this case, but I want to know is other ways than using applyop. 

 

-tau*alpha*sigma*omega*(tau-omega^(-sigma))/(s*L*(1-gamma-tau^2+tau^2*gamma))

-(sigma*alpha)/s*(1-tau*omega^sigma)/(omega^(sigma-1)*(1-gamma)*L*(1/tau-tau));

 

Thanks in advance.

 

taro

 

 

 

Hello all,

When I try to do this example, in the multibody analysis, http://www.maplesoft.com/products/maplesim/ModelGallery/detail.aspx?id=137

Thats already written :

 

but when I enter theses formulas(mModel & MB), that write instead of the example:

"Analyzing system..."
"Performing constraint analysis..."
"The system has 2 degree(s) of freedom. It is modeled using 2

generalized coordinate(s) coupled by 0 algebraic constraint(s\

And I have no result if i do vPosCons := MB:-GetPosCons(); . What am I doing wrong?

Thank you

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