janhardo

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11 years, 66 days

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These are replies submitted by janhardo

@tomleslie 

Thanks

Its solved as you mentioned : there is a display command needed 

I execute a animate command without display in the table 

All is working fine i think 

@tomleslie 

Thanks

Indeed

The first worksheet attached if you take this one or take the one  from dr Lopes the output of a intermediate animate plot gives this message.

But the final animate works.   

 

@tomleslie 

What should i could  aspect  for the arttached worksheet ?
Most all of the commands are suppresed by a colon and focus is on the animation of the positionvector   

When i do a iniline with Ctrl+=  for P1 there is message : 

          [Length of output exceeds limit of 1000000]


So this animation cannot be seen , but the final anmation works 

 

@tomleslie 

Thanks

Your fix for method 3 shows a spatial curve for the positionvector, while i thought i was for 2D ?  

@rlopez Y

Thanks

Did not know that there was non-executable math applied for Method 3 for the worksheet
Well it is now up to date the worksheet and what direction could Maple2020 go, that this revised worksheet for 2020 will not be working again for the future ?

Must be a interesting list of math topics. 

 

@janhardo 

I bought calculus III lessons

Its very useful an it covers a lot ,although the vectorcalculus packgage is not used here because 
its old lessonmaterial. 
You can study some vectorcalculus this lessons   

@tomleslie 
Thanks!
None of the examples are diificult to understand in both modes,
They are the same ,but in 1D mode it takes some more work for programmer input    
 
 

@tomleslie 

Thanks

You created a small procedure for maple input  with a scalarfunction as argument and a point from this scalarfield.
Outcome of this command is a gradientvector on a levelsurface
Maybe trivial , but stiill complex 

Did not pay much attention for the navigation buttons sofar , but it seems that browsing helppages is possible
But once opening a example worksheet in studentvectorcalculus  the navigation icons are gone
( that is because i am out of the help section ), but there is link to go back to mainpage of student vectorcalculus
So its always possible to go back to the mainpage

Discover also that the help examples  can be in 2D mode too, that's good

Yes , you create a vector function for maple input  mode  
I am doing this now in 2D input mode ( i am doing math in Maple now on two ways.. help..lol))
A function definition is here natural

f(x)= x   .. and you get a function, but now in 2 D input  for a vectorfunction

post_forum_gradientvb_boek_blz_391.mw

@janhardo 

I do need a collection of vectorcalculus worksheets to get a a idea how the calculations with flux are done

@Carl Love 
Thanks!

Important to know the namegiving for this all, for using all formulaes in the ricght  contect.

A surface(S) can be the top (roof) of a 3D figure and a area (A) is the bottom of that figure
A lateral surface from a solid , this all for 3D.  
A function f (x,y,z) is 4- dimensional and the surface levelcurves can be used to calculate the flux for this surface (S) (3D vectorfield)

I am just now practicing with 2D flux and 3D flux for a vectorrfield  

For 3D flux a surface integral (surface S) projected as area integral( area A) can be used and 2D flux using a circulation integral 


After this 3 integrals for vector-function/field
- Green (2D): vectorfunction : flux  
- Gauss (3D) : vectorfield : flux
- Stokes (3D) :vectorfield with rotation(curl) gives circulation

Looks not too  difficult to do this in Maple

 

 

@rlopez 
Thanks

I just did it earlier as you proposed now
I realised now that the picture in the book are hollow spheres  : two spheres are  drawed. 
Plotting a massive sphere alone does not contribute much for insight, but the idea was to use the context menu as  exerxcise.
To construct this is via "plotprogramming"  and not intuitive anymore ,
Perhaps there is option in the plotbuilder to draw the two sphere only as circles and adding dashed lines is programming
(but that i don't want to do here : take too much time ).  

I want to do some bookexercises to get used on the contectpanel
 

Drawing a sphere with  this equation x^2 + y^2 + z^2= 1 from contextmenu right away is not possible 
So you need a command to do this : apply a external command? 
i am wondering what packages are connected with the contextmenu?
with(plottools) 
with(geom3d)

To stay in normal calculus or maybe with vectorcalculus with a spacial positionvector ?
Apply a command is using help screen (examples) together with the popup command screen in the widescreen.
Plotting a smooth sphere with radius 1 and 4 
 


 

@janhardo 
What i did with this expression was:

answer5 := {x = 553.6, y = 455.0}, {x = 553.6, y = -455.0}

copy and paste 

x = 553.6, y = 455.0  now assigning the values to the variabeles: i typed in a semiclon : in the existing  variables x and y
then y/x for arctan , etc 
theta1:=arctan(y/x)

Not using the contectmenu.

Note: still did not find a keystroke for removing a output in a cel in documentmode as well in worksheet mode?

@tomleslie 

Thanks!

Could not find information in Maple about using external code in a procedure, but that are mainly other selfmade or premade procedures then.
What caused this error message with display3d ? ..probably:  with(plots,display3d); in the procedure

Seems to be a existing command , but there is no help for  it. 
A alias display3d, but where defined in worksheet?

  

@janhardo 

A (solution) set must be further manipulated to get a arctan values in this example

Voorbeeld : antwoorden genoteerd in verzamelingsnotatie : hieruit de arctan berekenen

 

Dr. Lopez correctly states, the output that you label as answer5[1] are a list of two equations: x = 553,  y = 455.  Since the goal is to calculate the value of the arctan, one wants to use "just the values". Hence a technique that I use frequently is to extract the right-hand-side (RHS) of the equations, i.e., the values, and use that output, for the calculations:

https://www.mapleprimes.com/questions/229984-RE-How-To-Calculate-Arctan-From-The#answer270648

 

 

Voorbeeld

restart;
answer5 := { x= 553.6, y = 455.0 }, {x = 553.6, y = -455.0 };

{x = 553.6, y = 455.0}, {x = 553.6, y = -455.0}

(1)

theta1 := arctan( rhs(answer5[1][2]) / rhs(answer5[1][1]) );

.6879485439

(2)

 

And for future angles, use the fact that arctan can identify the quadrant using 2 parameters: y, x. So for the other angle:

theta2 := arctan( rhs(answer5[2][2]), rhs(answer5[2][1]) );

-.6879485438

(3)

 

 

 

 

Ok, let do this now in documentmode..how ? , calculating theta1 and theta 2

restart; answer5 := {x = 553.6, y = 455.0}, {x = 553.6, y = -455.0}

Download verzameling_oplossingen_berekening_mee_maken_vb_arctan.mw

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