Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

The problem is how to plot a linear transformation, for example,

(x,y)->(x-y/2,y)

As, I searched, I found out that the code "LinearTransformPlot" can do that but it defines to act for example on lines or a certain subspace. May I ask you to learn the solution. Should we have a subspace untill we can plot the transformation? Thanks

Hello people in mapleprimes,

 

I want to modify the next equation: 

(**)  a:=sigma*omega*alpha = mu(H, H)*s*omega*gamma1*L+mu(F, H)*s*L-mu(F, H)*s*L*gamma1;

to be

(***)    sigma*omega*alpha = mu(H, H)*s*omega*gamma1*L+(1-gamma1)*mu(F, H)*s*L;

 

For that, first I defined b as

b:=sum(op(k,rhs(a)),k=2..3)=collect(sum(op(k,rhs(a)),k=2..3),{s,L,mu(F,H)});

, and substituted this to a with

subs(b,a);

 

But, what I could obtain was only the orignal equation (**) not (***).

Please tell me how to use subs to this problem to obtain (***)。

Thanks in advance.

taro

P.S.

I know

(****)collect(lhs(a)=rhs(a),{s,L,mu(F,H)});

works well as for what I wrote (**) as above.

But, originally, it was a result from substituting various equations into an equation.

For it, (****) does not work well.  

 

 

Whenever i open Maple 18, some symbols are missing including the arrows. I use Maple 18 to do math assingments, and the arrows are useful. It seems like a lot of other content is missing in Maple 18 as well. Below is a picture of the missing symbols, or there should be one. Any help on how i get the arrows back, would be amazing.

Symbols missing

Hi, i'm trying to make a function to create 2 polygons with the same number of sides, the same center but different radius. These 2 polygons have to be on the same draw. I tried by doing this function but its not working..

 If anyone could help me it would be great and sorry for my bad english i'm from France.

Hallo

Use DrawSubgroupLattice for G:=Symm(4) then

A:=DerivedSeries(G);

Drawing this Series there are red marked 30,29,21,1.

But why not 8 or 9 or 10 which are between 21 and 1?

Best regards

 

Kurt Ewald

 

Hello! How can I find extremes of numeric solution of ODE system obtained using "dsolve"? Can I use something like "extrema" function?

Here is my code & the error mesage.  What's wrong?

 

with(Statistics);
X := Vector*([0, 5, 10, 15, 20, 25, 30], datatype = float);
Y := Vector*([38.8, 53.8, 82.4, 107.6, 130.7, 152.4, 173.2], datatype = float);
NonlinearFit(av^2+bv+c, X, Y, v);
Error, (in Statistics:-NonlinearFit) invalid input: PostProcessData expects its 1st argument, x, to be of type {array, list, rtable}, but received w

Hello,

How do I interpolate using polar coordinates?  I have a series with non-uniform spacing, that I want to map onto a uniform space polar grid.

Any assistance would be appreciated.

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?

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

 

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

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