MaplePrimes Questions

Hello, 

I have just started using Maple, and it seems very powerful. I am trying to solve trigonometric equations and get all the solutions in a range, but when I use fsolve I only get one solution. 

Is this by design of the function or is there another way to do this? 

 

Tom

Im attempting some very basic calculations where numbers are stored in variables with correct units. However i wish to take a variable to the power 2 without altering it's unit. This is a really easy but strange calculation to make which is why i guess Maple is having trouble with it. 

e.g. I have a variable A with a number 4 stored inside with unit in Meters. I want to take A2 = 16 meters and and not A2 = 16 meters2

Is there a function or way to select the base number without having to write an entire line about it? 

convert(A,'unit_free')^(2)*Unit('m')

can do the trick but i believe there has to be an easier, less complicated, way to achieve this? 

i need to find the graph of exp(v(r)) from 0 to 2e6.

i obtained the graph of v(r) by taking log but how to obtained in exp form

graph_of_exp_form_of_u(r).mw 

restart; with(LinearAlgebra); with(Student[LinearAlgebra]); 
Z := Matrix([[3, 1, 5, 4, 5], [0, 0, 0, 0, 0], [28, 6, 4, 5, 9], [98, 5, 82, 2, 4], [24, 55, 23, 22, 90]]); 
B := Matrix([[0], [0], [0], [0], [0]]); 
A := <Z|B>:
if Row(A, 2) = ZeroVector[row](6) then A; end if;

I used the code above but it didn't work...any help appreciated

Hello,

I would like to know if it is possible to create a dll function from a maple function (a procedure) which would be directly usable in a excel sheet.

In other words, similary to the VBA function that it is possible to build in Excel, i would like to create a dll function that i could use in Excel.

If it is possible, can you help me to use a good process?

Thank you for your help and feedback.

how to find the integration of z(x) form 0 to x with the given condition...
 

diff(z(x), x) = x*Typesetting:-delayDotProduct(b, 1+3*y(x))/(a^2*(1-(x/a)^2));

diff(z(x), x) = x*(b.(1+3*y(x)))/(a^2*(1-x^2/a^2))

(1)

`%%where%`, y(x) = b*((1-(x/a)^2)^(1/2)-(1-(R/a)^2)^(1/2))/(3*(1-(R/a)^2)^(1/2)-(1-(x/a)^2)^(1/2));

`%%where%`, y(x) = b*((1-x^2/a^2)^(1/2)-(1-R^2/a^2)^(1/2))/(3*(1-R^2/a^2)^(1/2)-(1-x^2/a^2)^(1/2))

(2)

with*condition; -1; z(R) = ln(1-(R/a)^2)

z(R) = ln(1-R^2/a^2)

(3)

``


 

Download integration.mw

Hi,

I'm just doing a small project/HW for school where I am trying to create a histogram of the appearance of the digits of Pi. My problem is that I lose connection with the Maple Kernel whenever I go over 1000 digits. Why? Is this because my function scales badly? Any help would be appreciated.

Thanks in advance.

d:=1500;
Digits:=d;
                              1500
                              1500
valpi:=evalf(Pi):

dg:=proc(n,k)
floor(n/10^(ceil(log10(n)-k))) mod 10;
end:

with(Statistics):
L:=[seq(dg(valpi,i),i=1..d)]:
Histogram(L)

 

I apologise if this information is available on the support pages or on these forums already.

I have found the general solution to a differential equation and now need to plot multiple solution curves that correspond to a different value of a constant.

For example if I had y(x) = x + k, how would I go about plotting this for all the different values of k.

Many Thanks. 

There are many conventions for the Euler angles or other angles used to define o rotation of a 3d plot.
In Maple these angles are in the plot option orientation, but I think that the help page is not correct about them.
The same info appears in a worksheet (see ?rotateplot), so I am even more intrigued. [Note that many authors also switch phi and theta in spherical coordinates].

The help file says:

orientation=[theta, phi, psi]
This orientation specified by these angles is obtained by rotating the plot
1. psi about the x-axis,
2. then phi about the (transformed) z-axis, and
3. then theta about the (transformed) y-axis.
  These angles, given in degrees, are the Euler angles for the transformation matrix, using the axes specified. The angle psi is optional and is assumed to be 0 if not given. If the orientation option is not specified, the default value used is [55, 75, 0].


After some tests it seems that y and z should be switched, i.e. keeping the names (and order) for the angles ==>
1. psi about the x-axis,
2. then phi about the (transformed) y-axis, and
3. then theta about the (transformed) z-axis.

 
Am I right?

 

 


 

restart

G := 6.6743*10^(-8); 1; R := 1336599.126346; 1; rho := 2.2450*10^14; 1; c := 2.9799*10^10; 1; a := 1/(8/3*(6.67*10^(-8)*Pi*rho/c^2))^.5

0.6674300000e-7

 

1336599.126346

 

0.2245000000e15

 

0.2979900000e11

 

4715700.713/Pi^.5

(1)

y(x) = rho*c((1-(x/a)^2)^(1/2)-(1-(R/a)^2)^(1/2))^2/(3*(1-(R/a)^2)^(1/2)-(1-(x/a)^2)^(1/2))

y(x) = 0.1993516000e36/(3*(1-0.8033593953e-1*Pi^1.0)^(1/2)-(1-0.4496840993e-13*x^2*Pi^1.0)^(1/2))

(2)

``


 

Download y(x).mw

I want to have a display() function that plots a certain expression that I already have defined, but then I also want to include a variable number of pointplots into the same graph. I basically want the user to define a set of x and y coordinates into two different arrays in the start of the Maple Worksheet, then later down the worksheet, I want to plot these x,y coordinates as a pointplot, for each point.

But for example, if there are 5 points, I would define the pointplots as p1,p2,p3,p4,p5, which I already have a loop to do automatically depending on however many points that has been defined in the previous arrays. But when I want to plot these in a display() function, I have to write display(p1,p2,p3,p4,p5) individually, and I can't therefore seem to find a way to make it like display(p1,...,pn). I want the display to add more pointplots depending on how many points are defined in the arrays.

Can anyone help me? Sorry if it was difficult to understand, I can explain further if you didn't understand.

I have four matrix equations

P1, P2, P3 are known 4x4 matrix.

A1 A2 A3 A4 are known 1x4 matrix.

x1 x2 x3 x4 are 1x1 known matrix.

U is 4x4 unknown matrix.

These equations are 

(A1T*U*P1*A1) +( (P2*A1)T*U*P1*A1) + ( (P3*A1)T*U*A1) + ( ( P3*A 2)T*U*P1*A1) + x1 =0;

(A2T*U*P1*A2) +( (P2*A2)T*U*P1*A2) + ( (P3*A2)T*U*A2) + ( ( P3*A2 )T*U*P1*A2) + x2 =0;

(A3T*U*P1*A3) +( (P2*A3)T*U*P1*A3) + ( (P3*A3)T*U*A3) + ( ( P3*A3 )T*U*P1*A3) + x3 =0;

(A4T*U*P1*A4) +( (P2*A4)T*U*P1*A4) + ( (P3*A4)T*U*A4) + ( ( P3*A4 )T*U*P1*A4) + x4 =0;

How can i find 4x4 matrix U by using these above four equations??

Thank you

Is it possible to display an internet webpage in a maple?

Hello everybody,

In the linearised theory of gravity, I want to do some symbolic calculations.  First, I need to set that:

Then I want to see how the Christoffel symbols will change by putting the above in this:

Any hint someone?  I really appreciate the help for learning the Physics package.  Thank you in advance.

Mario

 

 

 

I am running MAPLE 2016.1

I am able to set the color option to a function in fieldplot, e.g.

plots[fieldplot]([y, -sin(x)-(1/10)*y], x = -10 .. 10, y = -10 .. 10, arrows = SLIM, color = sin(x)*sin(y))

works as expected.  

However, for plots[fieldplot3d] I cannot set color = f(x,y,z) . E.g.

plots[fieldplot3d]([2*x, 2*y, 2*z], x = -1 .. 1, y = -1 .. 1, z = -1 .. 1, grid = [5, 5, 5], arrows = SLIM, color = sin(x)*sin(y)*sin(z));

Error, (in plot/color) invalid color specification: sin(x)*sin(y)*sin(z)

Please can anyone help?

MRB  

First 1043 1044 1045 1046 1047 1048 1049 Last Page 1045 of 2434