Group of exercises solved using Maple scientific software, with the necessary considerations of some basic commands: evalf and convert that will show the solutions with the user-defined digits and the angular measurement in sexagesimal degrees. Important use of the law of the triangle through of vector position applied to vectors in vector spaces, vector force and vector moment for engineering students. In spanish.

Exercises_of_vectors_forces_and_moment_with_Maple.mw

Videotutorial:

https://www.youtube.com/watch?v=DxpO0gc5GCA

Lenin Araujo Castillo

Ambassador of Maple

Using a Maple procedure is a very common task. For instance, here, F is a differential operator applied to any expression f

restart;
F := proc (f) options operator, arrow; x*(diff(f, y))-y*(diff(f, x)) end proc;
                            / d   \     / d   \
                F := f -> x |--- f| - y |--- f|
                            \ dy  /     \ dx  /
F(sin(x*y));
                    2             2         
                   x  cos(x y) - y  cos(x y)

It is also possible to index a procedure. There is an appropriate syntax. At the end, one should not forget to assign the procedure to a table. Here, F simply returns its indices.

restart;
`index/F` := proc (idx) return idx end proc;
F := table(F);
                       F := TABLE(F, [])
F[i, j, k, 1, 2, 3];
                       [i, j, k, 1, 2, 3]

My question is how to define a procedure that uses both indexed and non-indexed arguments? That is, a procedure that returns a result according inputs of the type:

F[i, j, k,...](x, y, z,...)

I need such a syntax to define a differential operator (like the first example) that is further defined as a tensor within the Physics package (Physics:-Define). This differential operator thus needs to be indexed.

Hello,

I'm new as to write programs in Maple.

My problem is: How can i write program code into an empty worksheet?

How can i insert new commands into an existing program/procedure?

What do i have to do?

Can you help me please for my first steps, i didn't find any helpful information about this.

Thanks in advance

Volker

Hi, I am new to Maple 2017. I would appreciate advice on how to plot the following integral over the range a = -10 to a = 10

I(a):=int(exp(-x^2)*sin(a*x),x=0..infinity)

Thank you.

Aidan

1. Where do we report potential bugs

2. My finding:

https://imgur.com/a/w688r

The image uploading on this forum is not letting me and I find it to be less user friendly. Please view the sequence of images in the given link above.

This is not a problem, just my finiding.

Hello everyone,

I need to expand this:

>abs(u+v)^2+abs(u-v)^2

so I have as a final expressioin

>|u|^2+|v|^2=1

This is the property that has to be true so the probability is one.

>assume(u::complex, v::complex);  does not work and the simple commande

>expand() neither.  Any idea?

I am having a problem with image tools read a file from workbook.

In one document i get

Read("this:///101-Escher.bmp");
Error, (in ImageTools:-Read) unable to open database file

In another document I cant save the file. 

Maple will multiply two matrices for me perfectly.  

However, when I change the value in one of the cells and try to re-evaluate the product, Maple starts giving me the sum of something in all of my cells.   

Are you simply not allowed to ever change the initial values you set for a matrix?  This doesn't seem to make sense to me.  

I have attached a screen shot to show an example with a random matrix.  

Hey, friends, I have a differential equation to confuse me too much!  The question is shown in the below:

ODEs:

y''(x)-0.00003019*y(x)^0.337=0  ,       0<x<2945

BCs:

y(0)=0,    y'(2945)=0.0116 

I want to have the numerical solution, I used to plot y(x) and y'(x) , but errors shows me "jacobian is singular at left endpoint, use midpoint method instead."  Thank you for you any help in advance!!!  

Can you give me the code to figure it out in Maple?  Thank you so so so so much!

I have to fit two lists of data to a function of the type A*sin(bx+c)+d, but when I do (actual data):

X := [seq(i, i = 0 .. 24)];
Y := [1154, 1156, 1156, 1155, 1152, 1143, 1105, 1069, 1051, 1077, 1117, 1154, 1154, 1156, 1158, 1157, 1155, 1152, 1128, 1089, 1058, 1059, 1092, 1130, 1163];

with(Statistics):

f:=Fit(A*sin(b*x+c)+d, X, Y, x);
plot({f(x), [seq([X[i], Y[i]], i = 1 .. 25)]}, x = 0 .. 24, style = [line, point])

They match up very poorly. I can get a better fit by using Geogebra (which produces a function 48.7 * sin(0.52x + 0.56) + 1124.95, which fits the data much better).

I can get a good fit using CurveFitting[Interactive], but the resulting function doesn't fit my target format. What can I do to get a better fit in Maple while staying within the target format?

Is the smallest unit of time that Maple can use to report the computation time millisecond? When I use time(...) the output is a floating-point number with at most three digits after the floating point and since the unit in Maple help is said to be seconds, I'm thinking the smallest time unit it will report is millisecond. Is there any possibility to have more digits in the time reports, let's say up to 10^-5 seconds?

hi

im beginner in maple, i have a parametric matrix that i want to muliply it in a vector of differential equations like below.

i have functions like thees;

u(x,y,z)=u₀(x,y)+z*u₁(x,y)

v(x,y,z)=v₀(x,y)+z*v₁(x,y)

matrix:  A=[a,b;c,d]

vector : b = [du/dx, dv/dy]

now i want to do like this:

C=A.B

but i dont know how to do this.

Currently working on Fourier series. Having trouble plotting the graph of the Fourier series and would love to add and use a package such as the one found here: https://www.maplesoft.com/applications/view.aspx?SID=4857 . I'm having trouble installing and using the package, though. Could anyone be so kind as to assist me in adding and using packages not already found in Maple?

Hi all,

All other programs put it functionallity into Mac's menu line in the top, so your here have the following

"Appel logo" "Program name" File Edit View Inset

but this is not happening with Maple 2017???     anyone who have a solution for this 

best regards

Claus