Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

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?

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

 

 

 

for example i want to save the Square root of 2 to 1000000 decimal place to an ascii text file ...

i used the writeto command after evalf[100](sqrt(2)) for but it contains line breaks and \ character in output !

but i only need the pure continues 1000000 digits !

please guide me on this simple request ?

Hi Maple friends.

If I have a table of values, how can Maple provide the function?

For example:

x=10,15,20,25,30,35,40

y=2.01,4.87,6.50,9.875,14.00,18.90,24.40

How can Maple find out the y function with respect to x? 

Thanks in advance.

Hi,

 

I'm trying to make a piecewise function that will have period 12. That is, it repeats every 12 units across the x-axis.

 

I managed to do one cycle successfully with

plot(piecewise(0<=t and t<2, 4,2<=t and t<12,0), t=0..13);

But I'm not sure how to do it periodically. I thought about using modular arithmetic in the conditions and setting up something like

H(t)=piecewise(0<=modp1(f(t),12) and modp1(f(t),12)<2, 4,2<=modp1(f(t),12) and modp1(f(t),12)<12,0);

but this clearly doesn't work.

 

Some direction or advice would be appreciated. Thanks!

 

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