MaplePrimes Questions

To Maple support,

Why when removing symbol a from these equations makes Maple warning go away? This is from a textbook. Attached worksheet. 

 

restart;
ode:={diff(x__1(t),t)*sin(x__2(t))=x__4(t)*sin(x__3(t))+x__5(t)*cos(x__3(t)),diff(x__2(t),t)= x__4(t)*cos(x__3(t))-x__5(t)*sin(x__3(t)),diff(x__3(t),t)+diff(x__1(t),t)*cos(x__2(t))= 1,diff(x__4(t),t)-(1-B)*a*x__5(t)= sin(x__2(t))*cos(x__3(t)),diff(x__5(t),t)+(1-B)*a*x__4(t)=sin(x__2(t))*sin(x__3(t))};
dsolve(ode)

restart;
ode:={diff(x__1(t),t)*sin(x__2(t))=x__4(t)*sin(x__3(t))+x__5(t)*cos(x__3(t)),diff(x__2(t),t)= x__4(t)*cos(x__3(t))-x__5(t)*sin(x__3(t)),diff(x__3(t),t)+diff(x__1(t),t)*cos(x__2(t))= 1,diff(x__4(t),t)-(1-B)*x__5(t)= sin(x__2(t))*cos(x__3(t)),diff(x__5(t),t)+(1-B)*a*x__4(t)=sin(x__2(t))*sin(x__3(t))};
dsolve(ode)

worksheet attached also

interface(version)

`Standard Worksheet Interface, Maple 2022.0, Windows 10, March 8 2022 Build ID 1599809`

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1230 and is the same as the version installed in this computer, created 2022, April 21, 9:8 hours Pacific Time.`

restart;

ode:={diff(x__1(t),t)*sin(x__2(t))=x__4(t)*sin(x__3(t))+x__5(t)*cos(x__3(t)),diff(x__2(t),t)= x__4(t)*cos(x__3(t))-x__5(t)*sin(x__3(t)),diff(x__3(t),t)+diff(x__1(t),t)*cos(x__2(t))= 1,diff(x__4(t),t)-(1-B)*a*x__5(t)= sin(x__2(t))*cos(x__3(t)),diff(x__5(t),t)+(1-B)*a*x__4(t)=sin(x__2(t))*sin(x__3(t))};
dsolve(ode)

{(diff(x__1(t), t))*sin(x__2(t)) = x__4(t)*sin(x__3(t))+x__5(t)*cos(x__3(t)), diff(x__3(t), t)+(diff(x__1(t), t))*cos(x__2(t)) = 1, diff(x__4(t), t)-(1-B)*a*x__5(t) = sin(x__2(t))*cos(x__3(t)), diff(x__5(t), t)+(1-B)*a*x__4(t) = sin(x__2(t))*sin(x__3(t)), diff(x__2(t), t) = x__4(t)*cos(x__3(t))-x__5(t)*sin(x__3(t))}

Warning, it is required that the numerator of the given ODE depends on the highest derivative. Returning NULL.

restart;

ode:={diff(x__1(t),t)*sin(x__2(t))=x__4(t)*sin(x__3(t))+x__5(t)*cos(x__3(t)),diff(x__2(t),t)= x__4(t)*cos(x__3(t))-x__5(t)*sin(x__3(t)),diff(x__3(t),t)+diff(x__1(t),t)*cos(x__2(t))= 1,diff(x__4(t),t)-(1-B)*x__5(t)= sin(x__2(t))*cos(x__3(t)),diff(x__5(t),t)+(1-B)*a*x__4(t)=sin(x__2(t))*sin(x__3(t))};
dsolve(ode)

{(diff(x__1(t), t))*sin(x__2(t)) = x__4(t)*sin(x__3(t))+x__5(t)*cos(x__3(t)), diff(x__3(t), t)+(diff(x__1(t), t))*cos(x__2(t)) = 1, diff(x__4(t), t)-(1-B)*x__5(t) = sin(x__2(t))*cos(x__3(t)), diff(x__5(t), t)+(1-B)*a*x__4(t) = sin(x__2(t))*sin(x__3(t)), diff(x__2(t), t) = x__4(t)*cos(x__3(t))-x__5(t)*sin(x__3(t))}

 

Download warning_may_10_2022.mw

Hi,

I want to plot a quadric with important elements ( center, Principlal directions, Principal planes..) 

NULL

Plot Quadric with center, Principal directions,Principal planes

NULL

-x^2+2*y^2+2*z^2-6*x+4*xy-4*xz-8*yz+4*z-12 = 0


Ideas ? Thanks

Download QuadricQuestion.mw

Anyone keen to spend some time helping me with an error?

I'm getting the error mentioned above with Maple 2022 (but can also be reproduced in 2021).

Originally the error comes from within a company library, but I've managed to reproduce it without the library by merging the library in the workbook.

The error arises during a simple addition / subtraction operation, and I have no clue why.

P.S.: I've also filed a request to Maple support on this one.

CrashTest.zip

Let say, 

A= A1+A2+.....................+An

B=B1+B2+.....................+Bn,

C=C1+C2+.....................+Cn

And all the values of A1 to Cn may be both positive or Negative.

Then, how to program to find the Maximum Value of  (A^2+B^2+C^2+A.B+B.C+C.A)^(1/2).

I should know this by now but its been a long day learning Maple Flow 2022 and my eyes are rolling back in my head and I'm not thinking clearly ... so maybe some kind soul will gentley remind me how to  specify a the units for a number are Radians ...

When I look at the Units Palette in Maple Flow I don't see a unit symbol for radians ... or did I miss it?

Altenately ...

An example for specifying feet ...
type the number
press Ctl+Shift+U
type ft

An example for specifying radians...
enter the number
press Ctl+Shift+U
type what?

I know Maple Flow 2022 uses Radians by default ... but  when I just type a number without specifying units it could be anything.

Thanks for any help.

Question 1: The Common Symbols palette referenced in the the section titled ... "Solution 2 - Use the Palettes" in Online Help HERE ...

Where is the Common Symbols palette in Maple Flow 2022 ... or is it missing?

Question 2: How can I add it if it  is missing as it looks very handy.

Question 3: Can you create custom Palettes and if so how?

Question 4: OT: Any chance of getting a spell checke for Forum Post ? :-)

Thanks for any help.

The long form of ScientificConstants[GetValue] is not working in at least Maple 2021 and Maple 2022

ScientificConstants[GetValue](Constant(g))

 

This is causing issues for MapleFlow, not being able to call on a constant. 

**edit some of the long forms work - specifically the GetValue does not.  I modified the title to reflect that.**

I know they must be in Maple Flow somewhere but after 45 minutes of looking ... I'm asking ...

Where are the common scientific constants in Maple Flow?

For instance "e" for Euler's number ~2.71828, or "c" the speed of light  in a vacuum ...

Or must I define them myself?

Thanks for any help.

PS - I'm wondering if prior knowlede of the original "Maple Math" program is expected of Maple Flow users?

i have this sequence :f:=n->n/n+1
       

> f1:=seq(f(n), n = 0 .. 10);
                       f1:= 0,1/2,3/4,4/5,5/6,6/7,7/8,8/9,10/11

i want to create these sequences by using f :

1) 0,2/3,4/5,6/7,8/9,...

2)2/3,9/10,16/17,..

3) 1/2^2,3^2/4^2,5^2/6^2,7^2/8^2

4)0,3/4,8/9,24/25,35/36
        can anyone help me ?              

Suppose 

$P(x,y)=\sum_{i+j=0}^N \alpha_{i}x^{i}y^{j}$

is a multivariable polynomial of Nth degree. How may I express the first and second derivatives of $P(x,y)$ through Maplesoft?

Hello Everyone;

Hope you are fine. Solve comand is solving Equation saperately but samultanously. Kindly guide me about this. I have uploaded and pasted the code as well. The last comand (in red color) is not working. I am waiting for the kind response.

Thanks

QuestionNo1.mw

 

 

 

with(GroupTheory);
G := GaloisGroup(x^5 + 20*x + 32, x);

I just can get a result like:

GroupTheory:-GaloisGroup(x^5 + 20*x + 32, x)

But how do I know exactly what group it is? Actually I know the galois group is D5, But can we use maple to get this information?

Hi! I'm having doubts about the "automatic spacing" in maple. I would like to know two things:

1-can incorrect spacing ruin my code? (Ex by typing "spacebar" too many times )

2- i know that to type spacebar is obligatory after: proc()" "...end proc;    Is there any other situation in wich to use spacebar isn't optional? Thanks for your answers

In the positive range Maple confirms that this is true.
In the real range Maple fails to provide an answer (see attachments).

Is this identity correct?

restart

kernelopts(version)

`Maple 2022.0, X86 64 WINDOWS, Mar 8 2022, Build ID 1599809`

(1)

NULL

is(arctan(-x) = -arctan(x))

true

(2)

`assuming`([is(arctan(x, y) = -arctan(-x, y))], [x::real, y::real])

FAIL

(3)

`assuming`([is(arctan(x, y) = -arctan(-x, y))], [x::positive, y::positive])

true

(4)

`assuming`([simplify(arctan(-x, y)+arctan(x, y), trig)], [x::real, y::real])

arctan(-x, y)+arctan(x, y)

(5)

But

plot3d([arctan(-x, y)+arctan(x, y)], x = -1000000 .. 1000000, y = -1000000 .. 1000000, title = arctan(-x, y)+arctan(x, y))

 

On a unit circle

x = cos(alpha), y = sin(alpha)

x = cos(alpha), y = sin(alpha)

(6)

subs(x = cos(alpha), y = sin(alpha), arctan(-x, y)+arctan(x, y))

arctan(-cos(alpha), sin(alpha))+arctan(cos(alpha), sin(alpha))

(7)

`assuming`([simplify(%)], [alpha::real])

arctan(-cos(alpha), sin(alpha))+arctan(cos(alpha), sin(alpha))

(8)

`assuming`([simplify(%)], [alpha::positive])

arctan(-cos(alpha), sin(alpha))+arctan(cos(alpha), sin(alpha))

(9)

`assuming`([simplify(%)], [-Pi < alpha and alpha < Pi])

arctan(-cos(alpha), sin(alpha))+arctan(cos(alpha), sin(alpha))

(10)

plot(arctan(-cos(alpha), sin(alpha))+arctan(cos(alpha), sin(alpha)), alpha = -2*Pi .. 2*Pi, axes = boxed, color = red)

 

NULL


Download arctan_xy_simplify.mw

and another maybe related case where simplification does not work

arctan_xy_simplify_2.mw

I'm new to MapleSoft having just acquired MapleFlow 2022 and am making my way through the first few tutorials.
After a few hours I have started to accumulate some questions ...

First ... is the proper forum for Maple Flow 2022? I didn't see "Maple Flow" in the "Tags" so just checking.

Now my questions ...


I - Page Margins: Are their no Page Margins or Rulers?
When looking at print preview my content shows up split vertically with half on page-1 and half on page-2.
How do I easily keep up with what is on Page 1 and what is on Page 2, etc?

II - Draw Tool: Is it true that the  "Draw Tool" only appears when hovering over an imported image? That has been my experience.
In fact I wouldn't have known there was a draw tool except by accident ... after I had imported an image ... then wondered why the image tool appeared then disappeared ... discovering later it appeared when hovering the mouse over an image.
It would be very handy to be able to draw on the canvas without restricting it to drawing on an imported image ...
Is there a way to draw on the canvas without having to import an image ...
If not I guess one could import a blank image and then draw on that ... or what?

iii - Apps to Create Images: What applications do you use for creating images? I've experimented with PC Paint and Inkscape but wondered what image creation software you guys may use.

IV - SVG Files: Are there plans to be able to create or import and manipulate SVG files? (Like fromInkscape? That would be very handy.)

V - Adding Units:
I saw in the video "Introducing Maple Flow: A Freeform Whiteboard for Design Calculations" at minute 15:53 ...
That you can add Units by holding down CTL+Shift and then pressing U as in the example below ...
    Click on the Canvas
    Type 2
    Hold down Ctl+Shift then press U
    Overwrite the unit placeholder with "m"
    Type +
    Type 3
    Hold down Ctl+Shift then press U
    Overwrite the unit placeholder with "ft"
    Press =
    Press Enter, Tab, or the Arrow key
After numerous attempts, I was unable to get this to work ... is this a bug or am I doing something wrong?
(I was able to get units to work using other techniques noted in the examples that came with the program but the above method
would be useful ... if I could get the darn thing to work :-)


I'm excited about learning and using MapleFlow ... so thanks to any kind soul who has the patience to answer some questions for me along the way :-)

System: Windows 10 Pro 64-bit PC
 

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