I have a Dataframe of data, although I assume this question applies to any type of rTable-like structure.

What is a simple/elegant way to export the image of the data to a JPG file?  I would be happy to see it in the format when I ask it to print the Dataframe, or when I use DocumentTools:-Tabulate.

I have created two graphs*, each is a combination of multiple plots. From this, I use "plots:-display" to create an array of the two graphs.  I wish to export this array of graphs to a jpg file. Is this possible?  (Yes, I can export each graph, but I would like it combined in the array image that Maple displays.)

* Why the asterisk: I make two plots. When I combine them through the plots:-display procedure, what type of output is produced? I've called it a graph. The help implies the output is a plot array. However, that is different from displaying an array of graphs through plots: display (Array([plot1, plot2])). Correct?

Context of My Code:

I want to determine the SU(2) field strength tensor for a specific field configuration(later the equations of motion). I have managed to implement the covariant derivative and the gauge field, but now I am encountering problems with the field strength tensor. When substituting the definitions of my gauge field (7) and my covariant derivative (13) into my field strength tensor (14), the following problems occur:

1. The derivatives do not act on f(r) or r (r should be the radial component of my coordinate system).
2. The unit vectors are not explicitly multiplied together. Mixed terms should vanish and quadratic terms should result in one.

I am not even sure if I can properly form F[]^2 due to my definition in (4). I have seen in the setup that there are SU(2) indices, but I couldn't find anything helpful on how to handle this. Is it better to use SU(2) indexing?

It would be nice if someone could tell me why my terms are not simplifying or direct me to where I need to look to understand it.

Here is my code: 

SU(2)_Field_Strength.mw

Dear All,

I have a polynomial in terms of time. I know that based on the nature of the problem, the real function that governs this problem is the sum of exponential functions with a negative power, for example, in the form of alpha[0]+add(alpha[i]*exp(-beta[i]*t), i=1.. 5).

Can you help me if there is a method that can be used to obtain these exponential functions using following polynomial?

The polynomial function is as follow:

f:=0.020399949322360296902872908942 + 0.0261353198432118595103693714851*t^3 + 0.0240968505875842806805439681431*t^4 + 0.0148456155621193706595799212802*t^5 + 0.0239969764160351203722354728376*t^2 + 0.0204278458408370651586217048716*t - 0.00450853634927256388740864146173*t^6 - 0.0355389767483113696513996149731*t^7 - 0.0766669789661906882315038416910*t^8 - 0.120843030849135239578151569663*t^9 - 0.153280689906711146639066606024*t^10 - 0.150288711858517536713273977277*t^11 - 0.0808171080937786380164380347445*t^12 + 0.0872390654213369913348407061899*t^13 + 0.373992140377042586618283139889*t^14 + 0.766807288928470485618700282187*t^15 + 1.19339994493571167326973251788*t^16 + 1.49476369302534328383069681700*t^17 + 1.41015598591182237492637420929*t^18 + 0.593451797299651247527539427688*t^19 - 1.31434443870999971750661332301*t^20;

Best wishes

I have this problem with this system of equations, when I solve the 13x13 system it does not give me any solution, neither giving seed values ​​nor placing full digits. The exercise is solved and I tried to assume close values ​​and it doesn't work for me, it leaves everything expressed with the fsolve command.

Download p1.mw

Maple formats output depending on typesetting options "extened" and "standard" for the GUI (or interface). An example taken from

restart;
ts_standard:=proc(k::anything)
     interface(typesetting=standard):
     print(k);
     interface(typesetting=extended): 
     NULL;
end proc:
k:=3/8*ln(55/52)+sin(x)+3/4*exp(x);
                    3   /55\            3       
               k := - ln|--| + sin(x) + - exp(x)
                    8   \52/            4       

ts_standard(k);
                               

Why is the input two times returned and why one time as a list?
Somehow the first interface statement is responsible for that.

I am only interested in the reformated input inside the list.
Is it possible to fix the code?

Other observation with typesetting=standard:

restart;
interface(typesetting=standard);
expr:=cos(x)^2;
((x->x)=combine[trig])(expr);
                      

((x->x)=combine[trig])(expr);#subsequent call
                          2   1            1
                    cos(x)  = - cos(2 x) + -
                              2            2

(with Maple 2024.1 this only accurs in Math-1D)
but

restart;
expr:=cos(x)^2;
interface(typesetting=standard);
((x->x)=combine[trig])(expr);
                                      2
                        expr := cos(x) 

                            extended

                          2   1            1
                    cos(x)  = - cos(2 x) + -
                              2            2

GUI state after interupting with :

After switching to untitled 17 and back to test_timeout:

Sometimes it is necessary to switch back and forth twice.

Does this mean that the kernel did not receive the interupt?

Hello Everyone 

I created a file to sum up 5 vectors and display them in 3d space. (see below)

I would like to optimize my input so that I input the total length of the vector and the angle in the x-y plane and the angle in the x-z plane. 

At the top of the document there is an idea from a different pots how to do it with 2d vectors but I can't get it to work with 3d vectors. 

Any ideas?

Thanks in advance!

3d_vector.mw

For the legend in the image below I would have expected a black image and not a white

'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

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

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, 0.234342859, 0.24086784, 0.240983611, 0.241099381, 0.241215152, 0.241330922, 0.247855904, 0.247971674, 0.248087445, 0.248203215, 0.248318986, 0.248434756, 0.254959738, 0.255075508, 0.255191279, 0.255307049, 0.25542282, 0.25553859, 0.262063572, 0.262179342, 0.262295113, 0.262410883, 0.262526654, 0.269051635, 0.269167406, 0.269283176, 0.269398947, 0.269514717, 0.276039699, 0.276155469, 0.27627124, 0.27638701, 0.276502781, 0.283027762, 0.283143533, 0.283259303, 0.283375074, 0.283490844, 0.290015826, 0.290131596, 0.290247367, 0.290363137, 0.290478908, 0.290594678, 0.29711966, 0.29723543, 0.297351201, 0.297466971, 0.297582742, 0.304107723, 0.304223494, 0.304339264, 0.304455035, 0.304570805, 0.304686576, 0.311211557, 0.311327328, 0.311443098, 0.311558869, 0.31167464, 0.31179041, 0.318315391, 0.318431162, 0.318546933, 0.318662703, 0.318778474, 0.318894244, 0.325419225, 0.325534996, 0.325650767, 0.325766537, 0.325882308, 0.325998078, 0.33252306, 0.33263883, 0.332754601, 0.332870371, 0.332986142, 0.339511123, 0.339626894, 0.339742664, 0.339858435, 0.339974205, 0.340089976, 0.346614957, 0.346730728, 0.346846498, 0.346962269, 0.347078039, 0.34719381, 0.353718791, 0.353834562, 0.353950332, 0.354066103, 0.354181873, 0.354297644, 0.360822625, 0.360938396, 0.361054166, 0.361169937, 0.361285707, 0.367810689, 0.367926459, 0.36804223, 0.368158, 0.368273771, 0.368389541, 0.374914523, 0.375030293, 0.375146064, 0.375261834, 0.375377605, 0.381902586, 0.382018357, 0.382134127, 0.382249898, 0.382365668, 0.38889065, 0.38900642, 0.389122191, 0.389237961, 0.389353732, 0.389469502, 0.395994484, 0.396110254, 0.396226025, 0.396341795, 0.402866777, 0.402982547, 0.403098318, 0.403214088, 0.403329859, 0.40985484, 0.409970611, 0.410086381, 0.410202152, 0.410317922, 0.416842904, 0.416958674, 0.417074445, 0.417190215, 0.423715197, 0.423830967, 0.423946738, 0.424062508, 0.43058749, 0.43070326, 0.430819031, 0.430934801, 0.431050572, 0.437575553, 0.437691324, 0.437807094, 0.437922865, 0.444447846, 0.444563617, 0.444679387, 0.444795158, 0.451320139, 0.45143591, 0.45155168, 0.451667451, 0.458192432, 0.458308203, 0.458423973, 0.458539744, 0.465064725, 0.465180496, 0.465296266, 0.465412037, 0.471937018, 0.472052789, 0.472168559, 0.47228433, 0.478809311, 0.478925082, 0.479040852, 0.479156623, 0.485681604, 0.485797375, 0.485913145, 0.486028916, 0.492553897, 0.492669668, 0.492785438, 0.492901209, 0.49942619, 0.499541961, 0.499657731, 0.506182713, 0.506298483, 0.506414254, 0.506530024, 0.513055006, 0.513170776, 0.513286547, 0.513402317, 0.519927299, 0.520043069, 0.52015884, 0.526683821, 0.526799592, 0.526915362, 0.533440343, 0.533556114, 0.533671885, 0.533787655, 0.540312636, 0.540428407, 0.540544178, 0.547069159, 0.547184929, 0.5473007, 0.553825681, 0.553941452, 0.554057222, 0.560582204, 0.560697974, 0.560813745, 0.567338726, 0.567454497, 0.567570267, 0.574095249, 0.574211019, 0.57432679, 0.580851771, 0.580967542, 0.581083312, 0.587608294, 0.587724064, 0.587839835, 0.594364816, 0.594480587, 0.594596357, 0.601121339, 0.601237109, 0.60135288, 0.607877861, 0.607993632, 0.608109402, 0.614634384, 0.614750154, 0.614865925, 0.621390906, 0.621506677, 0.628031658, 0.628147428, 0.628263199, 0.63478818, 0.634903951, 0.635019721, 0.641544703, 0.641660473, 0.648185455, 0.648301225, 0.648416996, 0.654941977, 0.655057748, 0.655173518, 0.6616985, 0.66181427, 0.668339252, 0.668455022, 0.668570793, 0.675095774, 0.675211545, 0.681736526, 0.681852297, 0.681968067, 0.688493049, 0.688608819, 0.695133801, 0.695249571, 0.695365342, 0.701890323, 0.702006094, 0.708531075, 0.708646845, 0.715171827, 0.715287597, 0.715403368, 0.721928349, 0.72204412, 0.728569101, 0.728684872, 0.735209853, 0.735325624, 0.741966376, 0.748607128, 0.75524788, 0.761888631, 0.768529383, 0.775170135, 0.781695117, 0.788335869, 0.794976621, 0.801501602, 0.808142354, 0.814783106, 0.821423858, 0.827948839, 0.834589591, 0.841230343, 0.847871095, 0.854511847, 0.861152599, 0.867793351, 0.874318332, 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])

(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 !)