Maple 18 Questions and Posts

These are Posts and Questions associated with the product, Maple 18

I want to highlight the intersection between 2 graphs; pp(m,a) and the plane m=-0.2

PP := .8707945038*exp(-50.00000000*(m-0.842e-1)^2+(2.745342070*(m-0.842e-1))*(a-2.3722)-.1046792095*(a-2.3722)^2)

How can I do that?

Thank you

   ,Hello friends

  .I want to plot a coupled differential equation numerically  but I dont know whats wrong with the loops


 

 


 

numeric4.mw  .pdfnumeric4.pdf

 

I experience an issued with a 3d plot. This is my code and I get: "Warning, expecting only range variables [H[s], H[j]] in expression eq to be plotted but found name eq." as a return from Maple.

restart;

eq = c[1]-abs(H[s])^2*sigma^2/abs(H[j])^2;

c[1] := 2;

c[2] := 4;

sigma := 1;

tmp := plot3d(eq, H[s] = .1 .. 2, H[j] = 0 .. 5, view = 0 .. 8,

axes = boxed, labels = [H[s], H[j], P[j]],

filled = [style = surface, transparency = .2]); plots:-display(tmp, view = 0.1e-1 .. 8)

Dear Maple users,

I am solving a system of linear equations Ax=b where A is a matrix (243*241) which contains a rational polynomial of unknown "kappa" along with floating numbers. As suggested in some other posts I am using Linear algebra package with the LinearSolve command and option "solve" to find out unknown vector x. b is a vector having entries zero and 1. The system is such that two equations are redundant but it is difficult to recognise which two are redundant and hence for the time being I am keeping them in the matrix. (For a known value of kappa (say kappa=2) I have checked that two equations are redundant.) For the reference, the matrix and the right-hand vector b is attached as text.

There are two issues

1) Maple takes very long time (12 hours and so) to get x=b\A;

2) The result is a long expression i.e.  x[i] is a rational polynomial in kappa; a very long rational polynomial which I am importing as a text. I am not sure if maple exports all terms in the polynomial as for the different value of kappa I see Ax-b >0. 

How can I overcome this problem? Any help will be greatly appreciated. 

With this application you will learn the beginning of the study of the vectors. Graphing it in a vector space from the plane to the space. You can calculate its fundamental characteristics as triangle laws, projections and strength. App made entirely in Maple for engineering students so they can develop their exercises and save time. It is recommended to first use the native syntax then the embedded components. In Spanish.

 

Vector_space_with_projections_and_forces_UPDATED_2018.mw

Vector_space_with_projections_and_forces_UPDATED.mw

Movie #01

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

Movie #02

https://www.youtube.com/watch?v=sIxBm_GN_h0

Movie #03

https://www.youtube.com/watch?v=LOZNaPN5TG8

Lenin Araujo Castillo

Ambassador of Maple

Hello,

I would like to ask you for a help with solving a differencial equations for oscillator damped by a constant friction force (no damping force proportional to the velocity!)

General solultion:

Where 

The amplituce A is decreasing by C at each turning point and center of the ascillatory motion moves: x = -C/2 or x = C/2

Moving:

where

How to create a graphic output of movement according to equation x(t) similar to graph mentioned below?

Thank a lot for your help. I have been working on this task for several weeks without success.

Tom

In this app you can use from the creation of curve, birth of the position vector and finally applied to the displacement and the distance traveled. All this application revolves around the creation of a path and the path of a particle over this generated by vectors. You will only have to insert the vector components and the times to evaluate. Designed for engineering students guided through Maple. In Spanish.

Displacement_and_distance_traveled_with_vectors.mw Updated

Displacement_and_distance_traveled_with_vectors_updated_2020.mw 

Video

https://www.youtube.com/watch?v=jOcKYZ5EEM0

Lenin Araujo C

Ambassador of Maple

Here in this video you can observe the correct insertion of vectors; Making use of the keyboard, ascii code and tool palette of our Maple program. As our worksheet is very large, I made the explanation in two parts; I recommend that you observe this first part of performing any execution on your Maple worksheet. You can contrast your results with the apps also made in this software. In Spanish.

Shortcut_in_Vectors_for_Engineering.mw

Movie # 01

https://www.youtube.com/watch?v=EJtAli54q_A

Movie # 02

https://www.youtube.com/watch?v=m-JUmhkbWI8

Lenin Araujo Castillo

Ambassador of Maple

As you can see this app performs the trace of a given path r (t), then locate the position vector in a specific time. It also graphs the velocity vector, acceleration, Tangential and Normal unit vectors, along with the Binormal. Very good app developed entirely in Maple for our engineering students.

Plot_of_Position_Vector_UPDATED.mw

https://youtu.be/OzAwShHHXq8

Lenin Araujo Castillo

Ambassador of Maple

I have the following equality:(N*(P-p[th])/K+p[th])/(2+2*N*Gamma/K+(1+N*Gamma/K)^2/(N*(P-p[th])/K+p[th])) = p[th]/(2+1/p[th]).

How can I get the solution step by step? I have read the forums around and tried few of the tutors, but most of them are either for single variable or I have to specify values for the variables.

I take the Inverse Laplace Transform on a specific function and the shown result is still an integral.

Would you like to explain it to me?

Thanks.

 

 

I have the following inequalty

GAMMA*sigma^2 < 1+2*sigma[H]^2*p[th]-2*K*(1+sigma[H]^2*p[th])/N, assuming all of the variables are positive.

How could I make a 3d plot with three axes for Г, K and N for example?

Dear Maple users,

I want to label Y axis such that it doesn't encroach the numbers. The figure below illustrates the difficulty I am facing. How can I change the default setting to put letter '\bar{U}' at some distance from Y axis so that it doesn't look crowded? Thanks.

Edit. One crude way to do this is by using typesetting command.

labels = [log(n), typeset(conjugate(U), " ")]

 

This app shows the calculation of the final speed of a body after it made contact with a variable force; Taking as reference the initial velocity, mass and graph of the variation of F as a function of time. That is, given the variable forces represented by the lines in the time intervals, we will show the equation of momentum and momentum; With their respective values, followed by their response.

Momentum_with_two_variable_force.mw

https://www.youtube.com/watch?v=2xWkF7JhkpI

Lenin Araujo C.

Ambassador of Maple

 

 

 

 

 

 

hi:

i'm using expand cmd, but surprisingly, not only execute the expand but execute simplify cmd. Is there any cmd only execute expand withoud simplify?

Best wishes,

from China

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