How to put programmatically 2 dots above the first and the last digit  as in the example?

http://s017.radikal.ru/i419/1610/55/958cd75b6b34.png

Since the new editor for some reason I cannot upload any pictures or files from my computer.

Previous year I was using Maple 2015 and I had a procedure in which I had used

A := Array((1 .. 3)$3);

And similar use of $. This year I'm using Maple 2016. Now I came back to my old procedure but Maple doesn't compile the procedure anymore and instead shows

Error, `$` unexpected
What is the problem? Is something changed in new version of Maple?

Why I use Array and $ is my old question here http://www.mapleprimes.com/questions/210628-Undefined-For-Loop-Bound which was fine before.

Hi all, I need a heep to solve 6 PDEs from the first order with initial and boundry conditions.

Here is the file PDE_with_IBC-BC.mwPDE_with_IBC-BC.mw

Hi there,

I was wondering how to define the unit of an unspecified function. Here is what I want to do:

Say I have the coordinates of a Point in 1D-Space denoted by an unknown function x(t). While this function depends on time t the value of this function is supposed to be of SI Unit meter.

When calculating diff(x(t),t) I would like to get something like (absolut derivative of x(t)) * Unit(m/s).

So how do i tell maple that x(t) is something like f: time -> meter?
Also: How to specify that t has unit second without breaking the diff() command?

Any help would be greatly appreciated.

Regards

Zorg

Just curious as to how to find the Mathematics and Engineering dictionary in maple. 

In Maple 12 it was available in the help menu as Dictionary, which then pulled up as a help menu with folders a to z. 

In Maple 2016, I only noticed today, Dictionary is no longer a help option in the pull down menu.  Searching for dictionary brings up some of the files in the help menu but not sorted beautifully as M12.  In fact there is a definition list but it ends at d.

Am I missing something or is there a dictionary fault?

Hello there. I have a simple differential equation (diff(y(x), x)+1)*exp(y(x)) = 4 , in which I want to got a partial solution (find a value of constant) for y(1)=0. How do I do that? I've checked help on pdsolve function and it's too complicated for me to understand something. Examples do not contain anything such simple as that. Thanks in advance.

I have in mind all the real roots of the equation 2*tan(Pi*t^2)-tan(Pi*t)+tan(Pi*t)*tan(Pi*t^2)^2 = 0.

Maple fails with it:

>RealDomain:-solve(2*tan(Pi*t^2)-tan(Pi*t)+tan(Pi*t)*tan(Pi*t^2)^2 = 0, t);

RootOf(tan(_Z)*tan(_Z^2/Pi)^2-tan(_Z)+2*tan(_Z^2/Pi))/Pi

 Even its numerical solution has gaps.

>Digits := 15; a := Student[Calculus1]:-Roots(2*tan(Pi*t^2)-tan(Pi*t)+tan(Pi*t)*tan(Pi*t^2)^2 = 0, t = -2 .. 2);
Warning, some roots are returned as numeric approximations
 [-1.35078105935821, -1.18614066163451, -1.00000000000000, 0, 

   1.00000000000000, 1.28077640640442, 1.68614066163451,    1.85078105935821]

>nops(a);

8

>b := Student[Calculus1]:-Roots(2*tan(Pi*t^2)-tan(Pi*t)+tan(Pi*t)*tan(Pi*t^2)^2 = 0, t = -2 .. 2, numeric);
 [-1.35078105935821, -1.18614066163451, -1.00000000000000, 

   -0.780776406404415, 0., 1.00000000000000, 1.28077640640442, 

   1.68614066163451, 1.85078105935821, 2.00000000000000]
>nops(b);
                               10

whereas 

>plot(2*tan(Pi*t^2)-tan(Pi*t)+tan(Pi*t)*tan(Pi*t^2)^2, t = -2 .. 2);

shows 14 solutions.

The output of the command

>identify(a);

[1/4-(1/4)*sqrt(41), 1/4-(1/4)*sqrt(33), -1, 0, 1, 1/4+(1/4)*sqrt(17), 1/4+(1/4)*sqrt(33), 1/4+(1/4)*sqrt(41)]

suggests a closed-form expression for the roots.

hi

please help me for solve this equations?

thanksazizi.mw
 

Download azizi.mw

I am trying to achieve an intuitive (non-mathematical) understanding of parallel transport on the unit sphere.
A vector parallel transported along a unit sphere's geodesic clearly maintains as constant its initial orientation vis-a-vis the geodesic i.e. with regard to its moving bases vectors.

Dr. Lopez's application "Visualizing a Parallel Field in a Curved Manifold" displays animation of the parallel transport of a vector along a latitude, which is not a geodesic. As seen by an observer moving with it, the vector rotates clockwise with regard to its moving bases vectors. The rate of rotation increases with higher latitudes.

Then to what is the transported vector maintaining parallelism?

I have uploaded a Maple 2016 worksheet Parallel_transport_on_the_unit_sphere.mw which mostly copies Dr. Lopez's application and, for additional clarity, adds the unit sphere, the moving bases vectors and the moving tangent plane to his display.

Trying to write a generat purpose procedure insteat of having 3 or 4 different named procceduers.

Need to determine the input types of say A,B,C

Proc(A,B,C)

1) A,B,C could be for the form 3/2 , 5x-7 , x^2-sqrt(x+3)  i.e numbers or formulas

2) A,B,C could be 2 elenent lists [2,3]  , [5x-6y,8x+2] ,[2,sqrt(3)]  i.e 2D points

3) A,B,C could be 3 element lists as above    i.e 3D points

4) A,B,C could be 2D vectors

5) A,B,C could be 3D vectors

A, B, C will not be of mixed types but would be good to check A, B, C for consistency and if not retrun an error

Looking to calculate output based on

If type 1) ......

elif type 2).....

.

.

elif type 5)...

end if

return.....

end proc

Hello people in mapleprimes,

I want to simplify the next expression which has 1/k as its exponent,

especially, I want to collect for T.　I hope you will teach me how to do it.

(F__X*(Omega+1)/(F__I*(beta-1)*T))^(1/k)*(T/phi)^(beta/k)

If I do as

simplify(%)assuming(symbolic);

the output is

F__X^(1/k)*(Omega+1)^(1/k)*F__I^(-1/k)*T^((beta-1)/k)*(1/(beta-1))^(1/k)*phi^(-beta/k)

But, as all variables has 1/k as its exponent, I want to collect it to (...)^(1/k).

Is this possible?

taro

Hi, I have been trying to solve the Schrodinger equation for harmonic oscillators using dsolve and plot the the wavefunctions for the different energy levels. However I am struggling to plot all the different wavefuntions on the same plot. I also want to normalize the wavefunctions to help compare their shapes and values. Here's my code:- schro := {diff(psi(x), x, x)-(alpha*x^4+x^2-energy)*psi(x) = 0}; // d / d \\ / 4 2 \ \ { |--- |--- psi(x)|| - \alpha x + x - energy/ psi(x) = 0 } \\ dx \ dx // / ic := {psi(3) = 0, (D(psi))(3) = 1}; {psi(3) = 0, D(psi)(3) = 1} schro1 := subs(energy = 3.30687, alpha = .1, schro); soln1 := dsolve(schro1 union ic, {psi(x)}, type = numeric); // d / d \\ / 4 2 \ \ { |--- |--- psi(x)|| - \0.1 x + x - 3.30687/ psi(x) = 0 } \\ dx \ dx // / proc(x_rkf45) ... end; with(plots); [animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, densityplot, display, dualaxisplot, fieldplot, fieldplot3d, gradplot, gradplot3d, implicitplot, implicitplot3d, inequal, interactive, interactiveparams, intersectplot, listcontplot, listcontplot3d, listdensityplot, listplot, listplot3d, loglogplot, logplot, matrixplot, multiple, odeplot, pareto, plotcompare, pointplot, pointplot3d, polarplot, polygonplot, polygonplot3d, polyhedra_supported, polyhedraplot, rootlocus, semilogplot, setcolors, setoptions, setoptions3d, shadebetween, spacecurve, sparsematrixplot, surfdata, textplot, textplot3d, tubeplot] odeplot(soln1, [x, psi(x)], -3 .. 3); Thank in advance

I tried to generate a simple plot based on an expression using units. Please see the screenshot of the worksheet below

The y-axis should be scaled in m³ not m² because a, b and the variable r are in m. I know that it is possible to enforce the axis scaling in units using useunits but since the mathematical definition of the expression is clear this should not be necessary.

The other question is why is the y-axis missing the variable name? On this page on the Online Help http://www.maplesoft.com/support/help/Maple/view.aspx?path=MaplePortal/UnitsInPlots it is mentioned "When you plot an expression, the axes labeling shows the variable names and units." I think what I am plotting is an expression.

I am experimenting with creating help files for  my own package.

I have saved  a package overview file and one package command  file into a help data base as a test usingTools, Help Database, Save as Help Page.

These 2 help pages work in principle as i can find them when I search for them and the command  help page opens from the overview page. I now need to edit them. So I edit the original worksheets and use Tools, Help Database, Save as Help Page to update the data base.

Now Maple will not let me overwrite the original page.The Help file savy you can overwrite. So I have to delete the original page first then resave it back in. This involves reentering all the data again. Topic Alisies and Table of contents.

To say the least this is extremely tedious  vastly innefficient and very error prone. I will have upto say 40 help pages to edit and they will require some expirementing with.

Is there a better way to do this?

Edit:-

Hve added this line the the bottom of the worksheet

makehelp('`Rational Trigonometry`', "Rational Trigonometry Overview Help.mw", " C:\Users\Ronan.Ronan-PC\maple\toolbox\UserHelp\lib\maple.help")

get     Error, (in readline) file or directory does not exist

hi..i have a problem for solving this nonlinear differential equationerror.mw

Download error.mw

please help me

thanks...