MaplePrimes Questions

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.
 

33308

restart;

33308

interface(version);

`Standard Worksheet Interface, Maple 2024.0, Windows 10, March 01 2024 Build ID 1794891`

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:

diff(y(x), x) = x

"Latex command worked on ode"

"Latex command worked"

 


 

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:

Runtime error: Error, (in triangle) illegal use of a formal parameter

Here is the code I am using:

triangle := proc({a::numeric := 0, b::numeric := 0, c::numeric := 0, AngleA::numeric := 0, AngleB::numeric := 0, AngleC::numeric := 0})
    local A, B, C, T, Tr, DegreeA, DegreeB, DegreeC, TA, TB, TC, Area, Centroid, AreaLabel, deg, rad;
    uses geometry, plots;

    # Function to convert degrees to radians
    rad := proc(deg) evalf(deg * Pi / 180) end proc;

    # Function to convert radians to degrees
    deg := proc(rad) evalf(rad * 180 / Pi) end proc;

    # Temporary variables for calculations
    local a_calc, b_calc, c_calc, AngleA_calc, AngleB_calc, AngleC_calc;

    a_calc := a;
    b_calc := b;
    c_calc := c;
    AngleA_calc := AngleA;
    AngleB_calc := AngleB;
    AngleC_calc := AngleC;

    # Calculate missing sides or angles
    if a_calc = 0 then
        if AngleA_calc <> 0 and AngleB_calc <> 0 then
            a_calc := b_calc * sin(rad(AngleA_calc)) / sin(rad(AngleB_calc));
        elif AngleA_calc <> 0 and AngleC_calc <> 0 then
            a_calc := c_calc * sin(rad(AngleA_calc)) / sin(rad(AngleC_calc));
        end if;
    elif b_calc = 0 then
        if AngleB_calc <> 0 and AngleA_calc <> 0 then
            b_calc := a_calc * sin(rad(AngleB_calc)) / sin(rad(AngleA_calc));
        elif AngleB_calc <> 0 and AngleC_calc <> 0 then
            b_calc := c_calc * sin(rad(AngleB_calc)) / sin(rad(AngleC_calc));
        end if;
    elif c_calc = 0 then
        if AngleC_calc <> 0 and AngleA_calc <> 0 then
            c_calc := a_calc * sin(rad(AngleC_calc)) / sin(rad(AngleA_calc));
        elif AngleC_calc <> 0 and AngleB_calc <> 0 then
            c_calc := b_calc * sin(rad(AngleC_calc)) / sin(rad(AngleB_calc));
        end if;
    end if;

    if AngleA_calc = 0 then
        AngleA_calc := deg(arccos((b_calc^2 + c_calc^2 - a_calc^2) / (2 * b_calc * c_calc)));
    end if;
    if AngleB_calc = 0 then
        AngleB_calc := deg(arccos((a_calc^2 + c_calc^2 - b_calc^2) / (2 * a_calc * c_calc)));
    end if;
    if AngleC_calc = 0 then
        AngleC_calc := 180 - AngleA_calc - AngleB_calc;
    end if;

    # Convert angles to radians for calculation
    AngleA := rad(AngleA_calc);
    AngleB := rad(AngleB_calc);
    AngleC := rad(AngleC_calc);

    # Define points A, B, and C
    geometry:-point(A, 0, 0);
    geometry:-point(B, c_calc, 0);
    geometry:-point(C, b_calc * cos(AngleA), b_calc * sin(AngleA));

    # Calculate the area using Heron's formula
    s := (a_calc + b_calc + c_calc) / 2;
    Area := sqrt(s * (s - a_calc) * (s - b_calc) * (s - c_calc));
    Area := evalf(Area, 4);

    # Calculate the centroid of the triangle
    Centroid := [(0 + c_calc + b_calc * cos(AngleA)) / 3, (0 + 0 + b_calc * sin(AngleA)) / 3];

    # Text plot for side labels
    T := plots:-textplot([[1/2 * c_calc, 0, cat("c = ", c_calc), align = below], 
                          [1/2 * c_calc + 1/2 * b_calc * cos(AngleA) + 1/30 * a_calc, 1/2 * b_calc * sin(AngleA), cat("a = ", a_calc), align = right], 
                          [1/2 * b_calc * cos(AngleA) - 1/30 * a_calc, 1/2 * b_calc * sin(AngleA), cat("b = ", b_calc), align = left]]);

    # Text plot for angle labels with valid alignment options
    TA := plots:-textplot([0, 0, cat(evalf(deg(AngleA)), "°"), align = right]);
    TB := plots:-textplot([c_calc, 0, cat(evalf(deg(AngleB)), "°"), align = left]);
    TC := plots:-textplot([b_calc * cos(AngleA), b_calc * sin(AngleA), cat(evalf(deg(AngleC)), "°"), align = above]);

    # Text plot for the area of the triangle
    AreaLabel := plots:-textplot([Centroid[1], Centroid[2], cat("Area= ", Area), align = above]);

    # Display the triangle with labels
    plots:-display([geometry:-draw([geometry:-triangle(Tr, [A, B, C])], 
                      font = [times, roman, 18], labels = [x, y], axes = none, printtext = true), T, TA, TB, TC, AreaLabel]);
end proc:

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, 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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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2.45592731, 2.462336521, 2.468629962, 2.475039172, 2.481448383, 2.487857594, 2.494266805, 2.500676016, 2.506969456, 2.513378667, 2.519787878, 2.526197089, 2.5326063, 2.539015511, 2.545308951, 2.551718162, 2.558127373, 2.564536584, 2.570945795, 2.577355006, 2.583648446, 2.590057657, 2.596466868, 2.602876079, 2.60928529, 2.61557873, 2.621987941, 2.628397152, 2.634806363, 2.641215574, 2.647624784, 2.653918225, 2.660327436, 2.666736647, 2.673145858, 2.679555068, 2.685848509, 2.69225772, 2.698666931, 2.705076141, 2.711485352, 2.717778793, 2.724188004, 2.730597215, 2.737006425, 2.743415636, 2.749824847, 2.756118288, 2.762527499, 2.768936709, 2.77534592, 2.781639361, 2.788048572, 2.794457782, 2.800866993, 2.807276204, 2.813569645, 2.819978856, 2.826388066, 2.832797277, 2.839206488, 2.845499929, 2.851909139, 2.85831835, 2.864727561, 2.871021002, 2.877430213, 2.883839423, 2.890248634, 2.896542075, 2.902951286, 2.909360496, 2.915769707, 2.922178918, 2.928472359, 2.93488157, 2.94129078, 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4.03614997, 4.048852622, 4.061555273, 4.074257924, 4.080551365, 4.093254016, 4.099547456, 4.112250108, 4.118543548, 4.124836988, 4.13753964, 4.14383308, 4.15012652, 4.162829172, 4.169122612, 4.181825263, 4.194527914, 4.200821355, 4.213524006, 4.219817446, 4.232520098, 4.245222749, 4.264334611, 4.277037262, 4.296149125, 4.308851776, 4.315145216, 4.321438657, 4.327732097, 4.334025537, 4.340318978, 4.346612418, 4.352790088, 4.352905858, 4.359083528, 4.365261198, 4.365376969, 4.371554639, 4.377848079, 4.384025749, 4.384141519, 4.390319189, 4.396612629, 4.402790299, 4.40290607, 4.40908374, 4.41537718, 4.42167062, 4.42784829, 4.427964061, 4.434141731, 4.440435171, 4.446612841, 4.446728611, 4.452906281, 4.459083951, 4.459199722, 4.465261621, 4.465377391, 4.471439291, 4.471555061, 4.477616961, 4.477732731, 4.483794631, 4.483910401, 4.48985653, 4.4899723, 4.490088071, 4.495918429, 4.4960342, 4.49614997, 4.501980329, 4.502096099, 4.50221187, 4.508042228, 4.508157998, 4.508273769, 4.514104127, 4.514219898, 4.514335668, 4.520050256, 4.520166026, 4.520281797, 4.520397568, 4.526112155, 4.526227926, 4.526343696, 4.532174055, 4.532289825, 4.532405596, 4.538351724, 4.538467495, 4.544413624, 4.544529394, 4.544645165, 4.550591294, 4.550707064, 4.556653193, 4.556768963, 4.556884734, 4.562715092, 4.562830863, 4.562946633, 4.568661221, 4.568776992, 4.568892762, 4.569008533, 4.574491579, 4.574533412, 4.57460735, 4.574649182, 4.57472312, 4.574764953, 4.574838891, 4.574880723, 4.574954661, 4.574996494, 4.575112264, 4.575228035, 4.575343805, 4.575459576, 4.575575346, 4.575691117, 4.579743085, 4.579858856, 4.579974626, 4.580090397, 4.580206167, 4.580321938, 4.580437708, 4.580553479, 4.580669249, 4.58078502, 4.582216098, 4.582331869, 4.582447639, 4.58256341, 4.58267918, 4.582794951, 4.582910721, 4.583026492, 4.583142262, 4.583258033, 4.583373803, 4.583489574, 4.583605344, 4.583721115, 4.583836885, 4.583952656, 4.584068427, 4.584184197, 4.584299968, 4.584415738, 4.584531509, 4.584647279, 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?
 

13496

interface(version);

`Standard Worksheet Interface, Maple 2024.0, Windows 10, March 01 2024 Build ID 1794891`

ode := diff(y(x), x) = y(x)*(2*y(x) - x)/(x*(-2*x + 3*y(x)));
ic:=y(1)=-1;
dsolve([ode,ic]);

diff(y(x), x) = y(x)*(2*y(x)-x)/(x*(-2*x+3*y(x)))

y(1) = -1

y(x) = (1/6)*(I*((-27*x^2+x^3+3*3^(1/2)*(-2*x^5+27*x^4)^(1/2))^(2/3)-x^2)*3^(1/2)-((-27*x^2+x^3+3*3^(1/2)*(-2*x^5+27*x^4)^(1/2))^(1/3)-x)^2)/(-27*x^2+x^3+3*3^(1/2)*(-2*x^5+27*x^4)^(1/2))^(1/3)

#now try ODEsteps
Student:-ODEs:-ODESteps([ode,ic]);
 

"[[,,"Let's solve"],[,,[(&DifferentialD;)/(&DifferentialD;x) y(x)=(y(x) (2 y(x)-x))/(x (-2 x+3 y(x))),y(1)=-1]],["&bullet;",,"Highest derivative means the order of the ODE is" 1],[,,(&DifferentialD;)/(&DifferentialD;x) y(x)],["&bullet;",,"Solve for the highest derivative"],[,,(&DifferentialD;)/(&DifferentialD;x) y(x)=(y(x) (2 y(x)-x))/(x (-2 x+3 y(x)))],["&bullet;",,"Use initial condition" y(1)=-1],[,,0],["&bullet;",,"Solve for" 0],[,,0=0],["&bullet;",,"Substitute" 0=0 "into general solution and simplify"],[,,0],["&bullet;",,"Solution to the IVP"],[,,0]]"

odetest(y(x)=0,[ode,ic])

[0, -1]

 


 

Download strange_ode_steps_solution_june_20_2024.mw

(Tested on Maple 2021.1 and 2024.0, on Mac)

I want to write a Maple procedure that takes advantages of the latest features but doesn't break on older versions of Maple.

So I can write something like this:

   if version() >= VERSION then new_method else old_method end if

This works, but it has the problem that the version( ) command not only returns a version number but also writes three lines to the screen, like this:

 User Interface: 1794891
         Kernel: 1794891
        Library: 1794891

I don't want those lines to appear every time the procedure is used but I don't know how to make them go away.  Is there a way, or is there a better approach to achieving what I want?

Thanks, Brendan.

When I began posting replies or answers in Mapleprimes I remember Carl Love explaining me the difference between them.
I was a newbie by then but I think I've grown up and now I know the difference between a reply and a comment.
For reasons of my own, which I will perhaps explain in a post one day, I have decided to sent only comments and no more answers.

Unfortuntely administrators, or maybe a robot, keep turning my comments into answers.
Which in turn forces me to convert these answers into comments, which are then converted back into answers... which may never end and is a complite waste of time.

Is there a way to declare that I want my choices to be respected?

(For the record I've even written in the header of my comment that I didn't want it to be converted into an answer, but the comment was removed and the conversion done !)

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