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

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)

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?

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 

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

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

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

(A4^T*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

First Question: How to define nx1 matrix Y:=(y1,y2,...,yn) ? (n is a Natural number while it is ungiven)

Second Question: How to derivative of matrix Y with respect to nx1 matrix X:=(x1,x2,...,xn) ?

My efforts for the first question:  (I know to define 6x1 matrix etc. , but I dont know to define nx1 matrix

restart: Matrix(1..6,1,symbol=y) 

My efforts for the second question:

restart; with(VectorCalculus);
Matrix([x^2, x*y, x*z]);
Jacobian([x^2, x*y, x*z], [x, y, z]);

Can you help me? 

Hello

I am trying to write my Measuring Data into several Arrays with lengt of rowdim

I was able to extract them from the Datafile and Refering them to separate Vectors

My Code is in the attachemend and the Datafile too.

Insert the txt Path in the Messdaten in definition of A to load it.

I was able to convert the Time from Seconds to Minutes. What i realy want is an x-Axis wich is like hh:mm:ss

and Plot for Example T__1,T__2,T__Scheibe together in one Plot as y Axis and t__Minuten as x Axis

But the

plot([seq([`t__Sekunden`[i],`T__1`[i]],i=1..rowdim,LinearAlgebra[rowdim](`t__Sekunden`))

doesnt work and i also tried others

Thank you for your Help

Hallo,

im currently using Mathcad 15 and i want to change to a newer and better software with more possibilities.

But up to now i have not found a better software for calculating. One big advantage with mathcad is the possibilitie of symbolic formula input and calculation with units.

Now my question: Is it possible with Maple to write symbolic formulas (2D Structure of big formulas)

I dont write a formula in one row. Its nearly impossible ...

And can i calculate with units?

Thx Stefan

Error, More than two dependent variables, please indicate the desired scene

A number of MaplePrimers have asked how one might use the section and subsections of a Maple worksheet to structure the source code of an extended Maple package.  The usual answer is that it cannot be done; a module-based Maple package must be assigned in a single input region in a worksheet.  A recommended alternative is to write the source in text files and use either command line tools or the Maple read command from a worksheet to assign the package.  Because the read command handles Maple preprocessor macros, specifically the $include macro, the source can be conveniently split into smaller files.

I prefer this file-based method for development because text files are generally more robust than Maple worksheets, can be edited with the user's preferred editor, can be put under version control, and can be searched and modified by standard Unix-based tools.  However, not everyone is familiar with this method of development.  With that in mind, I wrote a small Maple package, CodeBuilder, that permits splitting the source of a Maple package (or any Maple code) into separate code edit regions in a standard Maple worksheet, using $include macros to include the source of other regions.  To build the package, the code edit regions are written to external files, using the names of the regions as the local file name relative to a temporary directory.

The package includes a method to run mint on the source code.  The result can be either printed in the worksheet or displayed in a pop-up maplet that allows selecting the infolevel and the region to check.

CodeBuilder includes help pages and a simple example (referenced from the top-level help page) demonstrating the usage.  To install the package, unzip the attached zip file and follow the directions in the README file.

CodeBuilder-1-0-3.zip

Errata Just noticed that a last minute change broke some of the code.  Do not bother with the 1-0-1 version; I'll upload a new version shortly.  The latest version (1-0-3) is now available.

As a geotechnical engineer, much of what I calculate relates to depth or settlement.  Which, by tradition, is signed as positive in the vertically down direction.  Hence, I want to be able to produce graphs with positive y-values (e.g. depth, settlement, etc.) plotted in the downward direction (effectively, all I want to do is simply reverse the direction of the y-axis).  One workaround is to simply multiply all y values by -1 before plotting.  But this isn't ideal (as the values show as negative).  I've had a look through the documentation and haven't found a clean way of doing this.  Is anyone able to confirm whether its possible?  Or am I wasting my time looking?  Thanks in anticipation, Ian

hope you can understand it.