Download predator_prey2.mw

I do not have earlier Maple version to check now. But Maple 2024.1 gives division by zero on this second order ode with missing x. This looks like new problem in Maple. Would someone who have access to earlier version of Maple be able to check if this problem shows there also? I solved this and get y=x+3 as solution which Maple verifies.

Download divide_by_zero_maple_2024_1_august_5_2024.mw

Something seems to have changed.  I do not now have Maple 2024.0 to check or earlier Maple's as I have to reinstall windows since my C:\ drive died. 

I installed Maple 2024.1 new on windows 10 home edition.

I noticed now when evaluating the current cell, the cursor automatically jumps to next cell, which is what I want and how Maple always worked.

But now the cursor jumps to the end of the command in the next cell. Before, I could swear that not how it worked and it used to jump to the start of the next cell.

This makes it very confusing, as I keep looking for where the cursor is now.

Why was this changed in 2024.1? I looked at option and see nothing to change this. 

Here is worksheet and small movie. 

This is my display options

Download cursor_jump_to_end_of_line.mw

Update

I tried to change the cursor size and thickness in windows 10 itself (using settings->Ease of access->Text cursor) and made it much bigger and restarted Maple but this had no effect. Cursor inside Maple remained the same.

I was hoping if there is a way to make the cursor bigger then this will make it easier to see where it jumped to when hitting enter.

It is bad, since the Maple cursor jumps to random places in the next cell. sometimes it jumps to the middle of the code in the next cell when there are more than one line there.

Here is a movie. Notice how it jumped to the start of the second line now in next cell in one case and not to the end of the code.

I can't believe no one at Maplesoft have noticed this and is able to fix it. This is ridiculous behavior. I spend few seconds each time I hit enter looking for where the cursor has landed as I keep looking at start of the next cell and it is not there. I could have 10-20 lines of code in one cell and have too look to find where the cursor is hidden in these 20 lines.

It natural for one to look for where the cursor is when woking and this makes it annoying. Hopefully someone can find a way to tell Maple to bring the old behaviour back where cursor jumps always to the start of the next cell.

I switched to using smart plot in Maple since it makes it easier. Here is an example

sol:=[-1/4*x^2, x];
plot(sol,legend=sol)

But sometimes it gives internal error, like in this example, because some of the list of solutions give complex over some x domain

sol:=[-1/4*x^2, (-1/2-1/2*(-3)^(1/2))^2+(-1/2-1/2*(-3)^(1/2))*x, (-1/2+1/2*(-3)^(1/2))^2+(-1/2+1/2*(-3)^(1/2))*x];
plot(sol,legend=sol)

Luckily I can trap this error and workaround it. 

The strange thing is that if I give it explicit x range, then it works. It now can remove the solutions which give complex values automatically

p:=plot(sol,x=-4..4,legend=sol);

question is: Should not smart plot have done this automatically? That is why it is called smart plot.

i.e. remove those solutions that give complex values like the case the above? 

Maple 2024.1 on windows 10

I am using the smart plot (i.e plot without giving the x=from..to) since I am generating these plots programmatically and better let Maple figure the best range to use.

But found Maple hangs on some solutions.

Here is an example

restart;
sol:=1/2/cos(x)*(sin(x)^2+(sin(x)^4+36*cos(x))^(1/2));
plot(sol);

I waited for 30 minutes and nothing happened.

If I change the above command to 

plot(sol,x=-Pi..Pi);

then it finishes instantly. It looks like Maple is stuck trying to find correct x and y ranges to use.

Is this known limitation  or smart plot or is this a bug?

Maple 2024.1 on windows 10.

What exactly is the difference between the differential operator d_[] from the physics package and diff() ? Why is it not possible for me to differentiate a scalar function g or a coordinate r with the help of the operator? d_[1] should correspond to d/dx (X = (x, y, z, t)) or not? 

Download example_d_[].mw

Hello

Here is the ODE

sys := {diff(w(t), t) = y(t)*z(t), diff(x(t), t) = a*w(t), diff(y(t), t) = x(t)*z(t) + w(t), diff(z(t), t) = -x(t)*y(t), w(0) = w0, x(0) = x0, y(0) = y0, z(0) = z0}

with initial parameters a=2, w0 = -0.727367040, x0 = -0.728244724, y0 = -0.237753623 and z0 = 0.014225402.

With these parameters I have no problem to plot the solution.

nsys := subs({a=2,w0 = -0.727367040, x0 = -0.728244724, y0 = -0.237753623, z0 = 0.014225402},sys);

numsol := dsolve(nsys, numeric, method = rkf45);

vars:=[x,y,z,w];

with(plots):

col := [red, magenta, cyan, blue]:
display(
  seq(
    plots:-odeplot(numsol, [t, vars[i](t)], t=0..3, color=col[i], legend=vars[i](t))
    , i=1..numelems(vars)
  )
)

How to use animate (or explore?)  with a slider for each parameter (a,x0,y0,z0,w0)? And if I want to add a tfinal as well for the simulation (in place of 3)? ( I am newbie as far as using plot and related functions in Maple).  

Many thanks. 

sometimes (not often) I get this pop-up window when I open new worksheet and run something first time in it.

And it can last for 10-20 seconds until connection is made.

I have my preferences set to  create new engine for each worksheet.

The strange thing when this happened now, is that I only had 4 worksheets open and was not running anything in any of them. So Maple was not "busy". Task manage showed 8 mservers.exe processes on it at the time. Which is not unormal.

I have 128 GB and PC was not busy at the time this happened.

Any idea what can cause this to happen?

Windows 10 home edition, Maple 2024.1

When making this plot, using smart plot (i.e. not giving the plot command the x=from..to and also not giving it y=from...to

p:=plot(0,color=red);

I need to programatically find the x=-10..10 and y=-1..1 from the variable p. But if I do

rhs~(indets(p, identical("originalview")=anything));

it gives

              {[-10. .. 10., 0. .. 0.]}

But clearly looking at the plot the y axis is from -1..1

The reason I need to determine the view from the above plot, is that I need to use same view windows size in another plot not using smart plot (phase plot) which requires one to provide explicit x and y ranges. i.e I'd like the phase plot to have same view size in terms of x range and y range.

I printed the PLOT structure but do not see another field to look at. 

Any idea or trick to find y=-1..1 values in this example ? I am using Maple 2024.1

lprint(p)
PLOT(CURVES(Matrix(200,2,{(1, 1) = -10., (2, 1) = -9.89484789949749, (3, 1) = 
-9.80335561909548, (4, 1) = -9.70046298090452, (5, 1) = -9.59688830351759, (6,
1) = -9.49380589849246, (7, 1) = -9.39823531356784, (8, 1) = -9.29927750854271,
(9, 1) = -9.19693520502513, (10, 1) = -9.09492111457286, (11, 1) = 
-8.98998708341709, (12, 1) = -8.89756113165829, (13, 1) = -8.79351140100503, (
14, 1) = -8.6890344321608, (15, 1) = -8.58835151356784, (16, 1) = 
-8.49692177788945, (17, 1) = -8.38820297889447, (18, 1) = -8.29610389547739, (
19, 1) = -8.18897076683417, (20, 1) = -8.09413979497487, (21, 1) = 
-7.99009518894472, (22, 1) = -7.89102011959799, (23, 1) = -7.78764567839196, (
24, 1) = -7.69271567135678, (25, 1) = -7.59032083417085, (26, 1) = 
-7.4839613758794, (27, 1) = -7.39137515477387, (28, 1) = -7.29137949949749, (29
, 1) = -7.18807420301508, (30, 1) = -7.08701012462312, (31, 1) = 
-6.9892254321608, (32, 1) = -6.88065220301508, (33, 1) = -6.78309432763819, (34
, 1) = -6.67893047236181, (35, 1) = -6.58454253768844, (36, 1) = 
-6.48135159396985, (37, 1) = -6.38425695778894, (38, 1) = -6.28276508643216, (
39, 1) = -6.18353823115578, (40, 1) = -6.07965690954774, (41, 1) = 
-5.97960685025126, (42, 1) = -5.87729121407035, (43, 1) = -5.77582280301507, (
44, 1) = -5.68258387135678, (45, 1) = -5.57572153366834, (46, 1) = 
-5.48014258492462, (47, 1) = -5.37823549045226, (48, 1) = -5.28069739798995, (
49, 1) = -5.17239388140703, (50, 1) = -5.07861099396985, (51, 1) = 
-4.97216657788945, (52, 1) = -4.87515404824121, (53, 1) = -4.76903758693467, (
54, 1) = -4.67747702713568, (55, 1) = -4.57320023718593, (56, 1) = 
-4.47247400603015, (57, 1) = -4.37181357688442, (58, 1) = -4.27152345929648, (
59, 1) = -4.17517605326633, (60, 1) = -4.07102195577889, (61, 1) = 
-3.97175554874372, (62, 1) = -3.86728232964824, (63, 1) = -3.77270890854271, (
64, 1) = -3.66818757386935, (65, 1) = -3.56807434874372, (66, 1) = 
-3.46820480201005, (67, 1) = -3.36389067336683, (68, 1) = -3.26781355276382, (
69, 1) = -3.16941743919598, (70, 1) = -3.06077643819095, (71, 1) = 
-2.96241091055276, (72, 1) = -2.86181373366834, (73, 1) = -2.7595089959799, (74
, 1) = -2.66547103417085, (75, 1) = -2.5652296120603, (76, 1) = 
-2.46575123417085, (77, 1) = -2.35934029145729, (78, 1) = -2.26543724422111, (
79, 1) = -2.15709262110553, (80, 1) = -2.05931995175879, (81, 1) = 
-1.96257900603015, (82, 1) = -1.85855141105528, (83, 1) = -1.75410300301508, (
84, 1) = -1.65907041708543, (85, 1) = -1.5581500321608, (86, 1) = -1.4596616, (
87, 1) = -1.35289910050251, (88, 1) = -1.26051985527638, (89, 1) = 
-1.15441893366834, (90, 1) = -1.05467848944724, (91, 1) = -.955901429145728, (
92, 1) = -.857045790954773, (93, 1) = -.756219297487437, (94, 1) = 
-.649344903517589, (95, 1) = -.551351549748743, (96, 1) = -.454619526633167, (
97, 1) = -.351214585929648, (98, 1) = -.248034748743718, (99, 1) = 
-.155424717587939, (100, 1) = -.0457214572864313, (101, 1) = .0460731437185924,
(102, 1) = .153437240201004, (103, 1) = .255905869346734, (104, 1) = 
.347398149748743, (105, 1) = .4502907879397, (106, 1) = .553865465326634, (107,
1) = .656947870351759, (108, 1) = .752518455276382, (109, 1) = .851476260301508
, (110, 1) = .953818563819095, (111, 1) = 1.05583265427136, (112, 1) = 
1.16076668542714, (113, 1) = 1.25319263718593, (114, 1) = 1.3572423678392, (115
, 1) = 1.46171933668342, (116, 1) = 1.56240225527638, (117, 1) = 
1.65383199095477, (118, 1) = 1.76255078994975, (119, 1) = 1.85464987336683, (
120, 1) = 1.96178300201005, (121, 1) = 2.05661397386935, (122, 1) = 
2.1606585798995, (123, 1) = 2.25973364924623, (124, 1) = 2.36310809045226, (125
, 1) = 2.45803809748744, (126, 1) = 2.56043293467337, (127, 1) = 
2.66679239296482, (128, 1) = 2.75937861407035, (129, 1) = 2.85937426934673, (
130, 1) = 2.96267956582914, (131, 1) = 3.06374364422111, (132, 1) = 
3.16152833668342, (133, 1) = 3.27010156582915, (134, 1) = 3.36765944120603, (
135, 1) = 3.47182329648241, (136, 1) = 3.56621123115578, (137, 1) = 
3.66940217487437, (138, 1) = 3.76649681105528, (139, 1) = 3.86798868241206, (
140, 1) = 3.96721553768844, (141, 1) = 4.07109685929648, (142, 1) = 
4.17114691859297, (143, 1) = 4.27346255477387, (144, 1) = 4.37493096582915, (
145, 1) = 4.46816989748744, (146, 1) = 4.57503223517588, (147, 1) = 
4.6706111839196, (148, 1) = 4.77251827839196, (149, 1) = 4.87005637085427, (150
, 1) = 4.97835988743719, (151, 1) = 5.07214277487437, (152, 1) = 
5.17858719095477, (153, 1) = 5.27559972060302, (154, 1) = 5.38171618190955, (
155, 1) = 5.47327674170854, (156, 1) = 5.57755353165829, (157, 1) = 
5.67827976281407, (158, 1) = 5.7789401919598, (159, 1) = 5.87923030954774, (160
, 1) = 5.97557771557789, (161, 1) = 6.07973181306533, (162, 1) = 
6.1789982201005, (163, 1) = 6.28347143919598, (164, 1) = 6.37804486030151, (165
, 1) = 6.48256619497488, (166, 1) = 6.5826794201005, (167, 1) = 
6.68254896683417, (168, 1) = 6.78686309547739, (169, 1) = 6.8829402160804, (170
, 1) = 6.98133632964824, (171, 1) = 7.08997733065327, (172, 1) = 
7.18834285829146, (173, 1) = 7.28894003517588, (174, 1) = 7.39124477286432, (
175, 1) = 7.48528273467337, (176, 1) = 7.58552415678392, (177, 1) = 
7.68500253467337, (178, 1) = 7.79141347738694, (179, 1) = 7.88531652462311, (
180, 1) = 7.9936611477387, (181, 1) = 8.09143381708543, (182, 1) = 
8.18817476281407, (183, 1) = 8.29220235778895, (184, 1) = 8.39665076582915, (
185, 1) = 8.49168335175879, (186, 1) = 8.59260373668342, (187, 1) = 
8.69109216884422, (188, 1) = 8.79785466834171, (189, 1) = 8.89023391356784, (
190, 1) = 8.99633483517588, (191, 1) = 9.09607527939699, (192, 1) = 
9.1948523396985, (193, 1) = 9.29370797788945, (194, 1) = 9.39453447135678, (195
, 1) = 9.50140886532663, (196, 1) = 9.59940221909548, (197, 1) = 
9.69613424221106, (198, 1) = 9.79953918291458, (199, 1) = 9.9027190201005, (200
, 1) = 10.},datatype = float[8],storage = rectangular,order = Fortran_order,
shape = []),COLOUR(RGB,.47058824,0.,.54901961e-1,_ATTRIBUTE("source" = 
"mathdefault"))),AXESLABELS("",""),VIEW(-10. .. 10.,DEFAULT,_ATTRIBUTE("source"
= "mathdefault")),_ATTRIBUTE("input" = [table([(1)=plot,(2)=[0]]), 
"originalview" = [-10. .. 10., 0. .. 0.], "originalaxesticks" = AXESTICKS(
DEFAULT,DEFAULT,_ATTRIBUTE("source" = "mathdefault"))]))

Update

This below is a proc that takes PLOT data struct and returns correct x,y ranges.  It seems to work ok on few tests I did. Bug reports are welcome.

Download get_x_y_range.mw

Update

Warning.  plottools:-getdata(p,'rangesonly') is buggy. I replaced this with 

                  rhs~(indets(p, identical("originalview")=anything))[];

which gives more accurate Y ranges used. Here is example showing that getdata(p,'rangesonly') returns wrong y ranges for a plot compared to how it shows on the screen, So in the function above, better use the second method instead. This whole getdata(p,'rangesonly'); should be looked at by Maplesoft and fix to make it return correct values that agrees with screen view.

Download fixed_plot_Y_range.mw

Hi 

I teach Pre-Calulus High School level, and our school recently upgraded to Maple 2024. Like in Maple 2023 we use Assistant-Tools-import DATA and chosing an Excel file from which to import to do regression on.  In the new 2024 we have experienced, that Maple cannot read in DATA, meaning it cannot read column of DATA into a Maple document. However if we copy into Excel document on the machine locally, then there is no issue and the data is imported. 

Any idear what can cause this?  

I just saw that Maple 2024 no longer supports importing Quandl data.

If this is a feature that I will like to use, it is possible to keep both Maple 2023 and Maple 2024 installed at the same time on Microsoft Windows 11 without conflicts?  Or should I just not upgrade to Maple 2024?  I currently have a perpetual license for Maple 2023 and am on the 15-day trial for Maple 2024.

I just installed the 15-day trial for the new Maple 2024.  It looks like Maple 2024 has the same problem as Maple 2023 in that it will not maintain a connection to MapleCloud.  I can sign in to MapleCloud no problem but as soon as I close the window, it forgets my password and I have to log back in each time I want to access MapleCloud.  Is there a way for Maple 2023 or Maple 2024 to remember my Maplesoft password so I do not have to log back in every time I want to access MapleCloud?

I would like to calculate the following quantity: 

Where F is the SU(2) field strength tensor given by:

The gauge field V (in my code A) is defined as

where rj is the unit vector in spherical coordinates.

I tried to calculate it with maple, however, the result is not correct. I should get a scalar function, but my result still contains dependencies on x,y,z. And I really don't know why. I have defined the gauge field in (11) and the field strength tensor in (14). I could imagine that SumOverRepeatedIndices() in (16) does not work as I think (For each a = (1,2,3) I would like a summation over mu and nu). Greek letters are my spacetime indices and lowercase letters are my space indices. Do I perhaps have to use SU(2) indices instead of the space indices? But how exactly does a SU(2) index differ from a space index?    

Download SU(2)-field-strength-tensor_.mw

Dear all, in the example below I create a matrix(3x2) and each element contains a vector. How can I avoid the double brackets of the matrix elements or eliminate the double brackets?

Thanks for help

I know this question has been asked time and time again. Starting of with the expr . That is the end goal I want to achieve.  How would I reduce the expansion to get it into 1-f(x,y,z)/g(x,y,z) format?. I have tried all sorts of approaches.
 

Download 2024-07-20_Q_Simplify_Reformat.mw