I wanted to keep a running total over a number of independent batch mode Maple scripts.

So I figured I use .m file.   

Each run will read the old variable from .m file, update it, and write it again.

All what it need to do is just check if the .m file exist or not to account for the very first run.

But to my surprise, I found the variable content do not update after doing SAVE A,"TMP.m"

It seems Maple sees A variable already in TMP.m and does not save the new value of A again?. Just guessing. I was expecting that after I do  read "TMP.m" that the variable in the file will overwrite same variable value in the local proc. 

After one time update, each time I read the variable, its value is same.

First time using save myself, so may be I am doing something wrong but do not see it. I was expecting to see   10,20,30,40,50,..... running total, but I see 10,20,20,20,20,...../

What Am I doing wrong? do I need to make the variable global for this to work?

Here is worksheet. Maple 2024 on windows 10.

Download T.mw

How to show that the angle QF2P remains constant when M moves on the ellipse ? Perhaps with Explore ?
restart;
with(plots);
with(geometry);
_EnvHorizontalName := 'x';
_EnvVerticalName := 'y';
x0 := 100;
y0 := 40;
a := 7;
b := 5;
c := sqrt(a^2 - b^2);
ellipse(el, x^2/a^2 + y^2/b^2 - 1);
point(F1, -c, 0);
point(F2, c, 0);
eq := simplify((a^2 - x0^2)*(y - y0)^2 + (b^2 - y0^2)*(x - x0)^2 + 2*x0*y0*(x - x0)*(y - y0)) = 0;
sol := solve({eq}, {y});
line(tang1, op(sol[1]));
line(tang2, op(sol[2]));
sol2 := op(solve({op(sol[1]), x^2/a^2 + y^2/b^2 - 1 = 0}, {x, y}));
xM2 := rhs(sol2[1]);
yM2 := rhs(sol2[2]);
point(A, xM2, yM2);
sol3 := op(solve({op(sol[2]), x^2/a^2 + y^2/b^2 - 1 = 0}, {x, y}));
xM3 := rhs(sol3[1]);
yM3 := rhs(sol3[2]);
point(B, xM3, yM3);
line(Pol, [A, B]);
simplify(Equation(Pol));
isolate(%, y);
xM := 4;
sol := solve({subs(x = xM, x^2/a^2 + y^2/b^2 - 1 = 0)}, {y});
yM := rhs(op(sol[1]));
point(M, xM, yM);
line(Tang, x*xM/a^2 + y*yM/b^2 - 1 = 0);
intersection(P, tang1, Tang);
intersection(Q, tang2, Tang);
line(PF2, [P, F2]);
line(QF2, [Q, F2]);
alpha := FindAngle(PF2, QF2);
arctan(alpha);
evalf(%);
display(textplot([[-c, 0, "F1"], [c, 0, "F2"], [coordinates(B)[], "B"], [coordinates(A)[], "A "], [coordinates(M)[], "M "], [coordinates(P)[], "P "], [coordinates(Q)[], "Q "]], align = {"above", 'right'}), draw([el(color = red), A(color = black, symbol = solidcircle, symbolsize = 16), PF2(color = brown), QF2(color = brown), B(color = black, symbol = solidcircle, symbolsize = 16), M(color = black, symbol = solidcircle, symbolsize = 16), P(color = black, symbol = solidcircle, symbolsize = 16), tang1(color = green), tang2(color = green), Tang(color = green), F1(color = blue, symbol = solidcircle, symbolsize = 16), Q(color = blue, symbol = solidcircle, symbolsize = 16), F2(color = red, symbol = solidcircle, symbolsize = 16)]), axes = none, view = [-7 .. 15, -7 .. 12]);

Just found very serious problem.

Was trying my code in command line maple (cmaple.exe) only to find latex() command fails now.

Same code works with no problem in worksheet.  Here is first the worksheet version.
 

Download worksheet_version_latex_OK_june_21_2024.mw

Now I do same thing but from command line. I put the above code in A.mpl file in some folder on windows:

ode:=diff(y(x),x)=x;
try
    s:=latex(ode,'output'=string):
    print("Latex command worked on ode");
catch:
    error lastexception;
end try:


the_output:=Student:-ODEs:-ODESteps(ode,y(x)):
try
    s:=latex(the_output,'output'=string):
    print("Latex command worked");
catch:
    error lastexception;
end try:

Then opened a command windows terminal and cd to the above folder and typed this command

"C:\Program Files\Maple 2024\bin.X86_64_WINDOWS\cmaple.exe"  -q A.mpl

And this is what happens. Latex works OK on generating latex for the ode, but not for the steps!It gives error

Error, latex, invalid input: %1 uses a %-2 argument, %3 (of type %4), which is missing, latex:-ModuleApply, 1, e, anything

Also I was not able to suppress the display of the odesteps on the terminal even though they do not display in worksheet, they still print in the terminal. But this is a side issue.

Why does Latex gives error in command line? 

I think it is related to those funny looking characters (bullets?) signs at the start of each ODE step that show in the terminal? 

But in worksheet latex has no problem converting the ODE steps to Latex. It is only in cmaple. 

Is there a way to correct this? It seems to be some character encoding is causing the problem for Latex on command line vs. worksheet.

Windows 10, Maple 2024

'odeadvisor' suggests isolating y(x) from the equation as a first step, y=G(x,y'(x)), then apply the method of 'patterns'. For the first step, y(x) = (9/4)*[(y'(x))^2]/{[int(f(x),x)]^5} is what I found but, could take it no further. Nevertheless, Maple finds an intrinsic solution of the form, (3/4)*y(x)^(4/3) +(2/3)*int(sqrt(y(x)*f(x))^(-5/3) + _C1 =0, from which an explicit solution can be obtained. If anyone can supply the steps leading to the Maple solution - that would be great.

Dear all
If you have the following two maple package, kindly share it with me.
wkptest: For the symbolic computation of Painleve test for nonlinear PDEs.
ONEOptimal:-  Maple Package for obtaining Optimal System

Thanking you in advance
Debendra

Hello. I am trying to create a procedure that calculates the properties of a triangle (such as the sides, angles, area, and centroid) and then plots it. However, when I try to run my code, I keep getting the error:

Here is the code I am using:

What am I doing wrong, and how can I fix this error? Thanks! 

Hi all guys! I am doing the error analysis but now I meet one question: how to get the explict solution of eq11? If it is complex, I just wanna the real part. Welcome all guys discussion!

Download TFETDRKN(5)_two_eigenvalues_calculation.mw

Hi -- I have used this valuable platform many times to ask technical questions, but I am facing a particularly annoying problem in Maple 24 that did not exist in Maple 23. When I work on a Maple sheet and press Shift + Enter to move the cursor to a new line, an unwanted space appears. The issue is that when I use this combination twice on existing Maple sheets to create whitespace, the variable name often gets split up. Additionally, when I try to move back to the previous line to add something, I simply cannot. This issue did not exist in Maple 23 or any version since Maple 15. I have checked Tools > Options under both Display and Interface, but I have not found a solution. Is there a way to eliminate this annoying space?

  I would like to print my help pages to pdf. Is there a way to install A3 paper size. That would help in maintaining the layout as seen on the screen. 

Maybe there is an alternative approach.

I have a PDE of the form

u_{tt}+2*a(t)*u_x^2+2*b(t)*u(t,x,y)*u_{xx}+u_{yy}=0

How can I find Lie symmetries of this equation using PDEtools?

Please help me out.

Please write the code for 2nd Order Gausian Smoothing of the curve with the following data:

X := Vector[row](781, [0, 0.000115771, 0.000231541, 0.000347312, 0.000463082, 0.000578853, 0.000694623, 0.000810394, 0.000926164, 0.001041935, 0.001157705, 0.001273476, 0.001389246, 0.001505017, 0.001620787, 0.001736558, 0.001852328, 0.001968099, 0.002083869, 0.00219964, 0.00231541, 0.002431181, 0.002546952, 0.002662722, 0.002778493, 0.002894263, 0.003010034, 0.003125804, 0.003241575, 0.003357345, 0.003473116, 0.003588886, 0.003704657, 0.003820427, 0.003936198, 0.004051968, 0.004167739, 0.004283509, 0.00439928, 0.00451505, 0.004630821, 0.004746591, 0.004862362, 0.004978132, 0.005093903, 0.005209674, 0.005325444, 0.005441215, 0.005556985, 0.005672756, 0.005788526, 0.005904297, 0.006020067, 0.006135838, 0.006251608, 0.006367379, 0.006483149, 0.013008131, 0.013123901, 0.013239672, 0.013355442, 0.013471213, 0.013586983, 0.013702754, 0.013818524, 0.013934295, 0.014050065, 0.014165836, 0.014281606, 0.014397377, 0.014513148, 0.014628918, 0.014744689, 0.014860459, 0.01497623, 0.015092, 0.015207771, 0.015323541, 0.015439312, 0.015555082, 0.015670853, 0.015786623, 0.015902394, 0.016018164, 0.016133935, 0.016249705, 0.016365476, 0.016481246, 0.016597017, 0.016712787, 0.016828558, 0.023353539, 0.02346931, 0.02358508, 0.023700851, 0.023816621, 0.023932392, 0.024048163, 0.024163933, 0.024279704, 0.024395474, 0.024511245, 0.024627015, 0.024742786, 0.024858556, 0.024974327, 0.025090097, 0.031615079, 0.031730849, 0.03184662, 0.03196239, 0.032078161, 0.032193931, 0.032309702, 0.032425472, 0.032541243, 0.032657013, 0.032772784, 0.032888554, 0.033004325, 0.033120095, 0.039645077, 0.039760847, 0.039876618, 0.039992388, 0.040108159, 0.040223929, 0.0403397, 0.040455471, 0.040571241, 0.047096222, 0.047211993, 0.047327764, 0.047443534, 0.047559305, 0.047675075, 0.047790846, 0.047906616, 0.054431598, 0.054547368, 0.054663139, 0.054778909, 0.05489468, 0.05501045, 0.055126221, 0.055241991, 0.055357762, 0.061882743, 0.061998514, 0.062114284, 0.062230055, 0.062345825, 0.062461596, 0.062577366, 0.062693137, 0.069218118, 0.069333889, 0.069449659, 0.06956543, 0.0696812, 0.069796971, 0.076321952, 0.076437723, 0.076553493, 0.076669264, 0.076785034, 0.076900805, 0.077016575, 0.077132346, 0.077248116, 0.083773098, 0.083888868, 0.084004639, 0.084120409, 0.08423618, 0.08435195, 0.090876932, 0.090992702, 0.091108473, 0.091224243, 0.091340014, 0.097864995, 0.097980766, 0.098096536, 0.098212307, 0.098328077, 0.098443848, 0.098559619, 0.1050846, 0.10520037, 0.105316141, 0.105431912, 0.105547682, 0.105663453, 0.105779223, 0.112304205, 0.112419975, 0.112535746, 0.112651516, 0.112767287, 0.112883057, 0.119408039, 0.119523809, 0.11963958, 0.11975535, 0.119871121, 0.119986891, 0.120102662, 0.126627643, 0.126743414, 0.126859184, 0.126974955, 0.127090725, 0.127206496, 0.133731477, 0.133847248, 0.133963018, 0.134078789, 0.134194559, 0.13431033, 0.1344261, 0.140951082, 0.141066852, 0.141182623, 0.141298393, 0.141414164, 0.141529934, 0.148054916, 0.148170686, 0.148286457, 0.148402227, 0.148517998, 0.148633768, 0.148749539, 0.15527452, 0.155390291, 0.155506061, 0.155621832, 0.155737602, 0.155853373, 0.162378354, 0.162494125, 0.162609895, 0.162725666, 0.162841436, 0.162957207, 0.163072977, 0.169597959, 0.169713729, 0.1698295, 0.16994527, 0.170061041, 0.170176811, 0.176701793, 0.176817563, 0.176933334, 0.177049104, 0.177164875, 0.177280646, 0.183805627, 0.183921397, 0.184037168, 0.184152938, 0.184268709, 0.18438448, 0.18450025, 0.191025231, 0.191141002, 0.191256773, 0.191372543, 0.191488314, 0.191604084, 0.198129066, 0.198244836, 0.198360607, 0.198476377, 0.198592148, 0.198707918, 0.2052329, 0.20534867, 0.205464441, 0.205580211, 0.205695982, 0.205811752, 0.212336734, 0.212452504, 0.212568275, 0.212684045, 0.212799816, 0.212915586, 0.219440568, 0.219556338, 0.219672109, 0.219787879, 0.21990365, 0.22001942, 0.220135191, 0.226660172, 0.226775943, 0.226891713, 0.227007484, 0.227123254, 0.227239025, 0.233764006, 0.233879777, 0.233995547, 0.234111318, 0.234227088, 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0.880959084, 0.887599836, 0.894240588, 0.90076557, 0.907406322, 0.913931303, 0.920572055, 0.927097036, 0.933622018, 0.94026277, 0.946787751, 0.953312733, 0.959953484, 0.966478466, 0.973119218, 0.97975997, 0.986284951, 0.992925703, 0.999450685, 1.006091437, 1.012732188, 1.019488711, 1.026129463, 1.032885985, 1.039526737, 1.046051719, 1.0525767, 1.059101682, 1.065626663, 1.072151644, 1.078676626, 1.091610818, 1.085201607, 1.0981358, 1.111069992, 1.104660781, 1.117594973, 1.124119955, 1.137054147, 1.130644936, 1.143579128, 1.15010411, 1.163038302, 1.156629091, 1.169563284, 1.176088265, 1.182613246, 1.195547439, 1.189138228, 1.20207242, 1.208597402, 1.221531594, 1.215122383, 1.228056575, 1.240990768, 1.234581557, 1.25392496, 1.247515749, 1.266859152, 1.260449941, 1.279793345, 1.273384134, 1.292727537, 1.286318326, 1.31207094, 1.305661729, 1.299252518, 1.331414343, 1.325005132, 1.318595921, 1.350757746, 1.344348536, 1.337939325, 1.37010115, 1.363691939, 1.357282728, 1.389444553, 1.383035342, 1.376626131, 1.415197167, 1.408787956, 1.402378745, 1.395969534, 1.43454057, 1.428131359, 1.421722148, 1.453883973, 1.447474762, 1.441065552, 1.466818166, 1.460408955, 1.486161569, 1.479752358, 1.473343147, 1.499095761, 1.49268655, 1.518439164, 1.512029954, 1.505620743, 1.537782568, 1.531373357, 1.524964146, 1.563535182, 1.557125971, 1.55071676, 1.544307549, 1.595697007, 1.948319377, 1.589287796, 1.941910166, 1.582878585, 1.935500955, 1.576469374, 1.929091744, 1.570060163, 1.922682533, 1.916273322, 1.909864111, 1.9034549, 1.897045689, 1.890636478, 1.884227268, 1.659904886, 1.653495675, 1.647086464, 1.640677254, 1.634268043, 1.627858832, 1.621449621, 1.61504041, 1.608631199, 1.602221988, 1.877933827, 1.871524616, 1.865115405, 1.858706194, 1.852296984, 1.845887773, 1.839478562, 1.833069351, 1.82666014, 1.820250929, 1.813841718, 1.807432507, 1.801023296, 1.794614086, 1.788204875, 1.781795664, 1.775386453, 1.768977242, 1.762568031, 1.75615882, 1.749749609, 1.743340398, 1.736931187, 1.730521977, 1.724112766, 1.717703555, 1.711294344, 1.704885133, 1.698475922, 1.692066711, 1.6856575, 1.679248289, 1.672839079, 1.666429868])

Y := Vector[row](782, [0, 0.006409211, 0.012818422, 0.019227633, 0.025636844, 0.032046054, 0.038455265, 0.044864476, 0.051273687, 0.057682898, 0.064092109, 0.07050132, 0.076910531, 0.083319742, 0.089728953, 0.096138163, 0.102547374, 0.108956585, 0.115365796, 0.121775007, 0.128184218, 0.134593429, 0.14100264, 0.147411851, 0.153821061, 0.160230272, 0.166639483, 0.173048694, 0.179457905, 0.185867116, 0.192276327, 0.198685538, 0.205094749, 0.21150396, 0.21791317, 0.224322381, 0.230731592, 0.237140803, 0.243550014, 0.249959225, 0.256368436, 0.262777647, 0.269186858, 0.275596068, 0.282005279, 0.28841449, 0.294823701, 0.301232912, 0.307642123, 0.314051334, 0.320460545, 0.326869756, 0.333278967, 0.339688177, 0.346097388, 0.352506599, 0.35891581, 0.365209251, 0.371618461, 0.378027672, 0.384436883, 0.390846094, 0.397255305, 0.403664516, 0.410073727, 0.416482938, 0.422892149, 0.429301359, 0.43571057, 0.442119781, 0.448528992, 0.454938203, 0.461347414, 0.467756625, 0.474165836, 0.480575047, 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4.58476305, 4.58487882, 4.584994591, 4.585110361, 4.585226132, 4.585341902, 4.585457673, 4.585573443, 4.585689214, 4.585804984, 4.585920755, 4.586036525])

(1) for i from 1 to 10 do;

(2) for j from 1 to 10 do:

(3) PSLQ([f(i]), f(j)]);

(4) od: od:

What I want is that if there is an error in line (3) then the program ignores it and goes to next do. How can I got that?

Hello, I have the problem where my Maple worksheet involves very high-precision calculations which result in graphs with a large number of data points. This can result in the file being hundreds of MB large. However, I do not need to necessarily save all these data points inside the worksheet itself since they can easily be recreated. To save disk space, I would prefer to only save the generating commands and not any plots or array data, etc. Is there a way to do this?

simp.mw

please see simp.mw file

How did Student:-ODEs:-ODESteps([ode,ic]); managed to get this zero solution to this ode? I can't follow the logic it did.

Any ideas what it is doing in the 4th step there?
 

Download strange_ode_steps_solution_june_20_2024.mw