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, 0.486984258, 0.493393468, 0.499802679, 0.50621189, 0.512621101, 0.519030312, 0.525439523, 0.531848734, 0.538257945, 0.544667156, 0.551076366, 0.557485577, 0.563894788, 0.570303999, 0.57671321, 0.58300665, 0.589415861, 0.595825072, 0.602234283, 0.608643494, 0.615052705, 0.621461916, 0.627871127, 0.634280338, 0.640689548, 0.647098759, 0.65350797, 0.659917181, 0.666326392, 0.672735603, 0.679144814, 0.685438254, 0.691847465, 0.698256676, 0.704665887, 0.711075098, 0.717484309, 0.72389352, 0.73030273, 0.736711941, 0.743121152, 0.749530363, 0.755939574, 0.762348785, 0.768757996, 0.775051436, 0.781460647, 0.787869858, 0.794279069, 0.80068828, 0.807097491, 0.813506702, 0.819915912, 0.826325123, 0.832618564, 0.839027775, 0.845436986, 0.851846196, 0.858255407, 0.864664618, 0.871073829, 0.87748304, 0.88377648, 0.890185691, 0.896594902, 0.903004113, 0.909413324, 0.915822535, 0.922231746, 0.928640957, 0.935050168, 0.941343608, 0.947752819, 0.95416203, 0.960571241, 0.966980452, 0.973389662, 0.979798873, 0.986208084, 0.992501525, 0.998910735, 1.005319946, 1.011729157, 1.018138368, 1.024547579, 1.030841019, 1.03725023, 1.043659441, 1.050068652, 1.056477863, 1.062887074, 1.069296285, 1.075705496, 1.082114707, 1.088408147, 1.094817358, 1.101226569, 1.10763578, 1.114044991, 1.120454201, 1.126747642, 1.133156853, 1.139566064, 1.145975274, 1.152384485, 1.158677926, 1.165087137, 1.171496348, 1.177905558, 1.184314769, 1.19072398, 1.197133191, 1.203426632, 1.209835842, 1.216245053, 1.222654264, 1.229063475, 1.235472686, 1.241881897, 1.248175337, 1.254584548, 1.260993759, 1.26740297, 1.273812181, 1.280221392, 1.286514832, 1.292924043, 1.299333254, 1.305742465, 1.312151676, 1.318560887, 1.324970097, 1.331263538, 1.337672749, 1.34408196, 1.350491171, 1.356900381, 1.363309592, 1.369603033, 1.376012244, 1.382421454, 1.388830665, 1.395239876, 1.401649087, 1.408058298, 1.414351738, 1.420760949, 1.42717016, 1.433579371, 1.439988582, 1.446397793, 1.452691233, 1.459100444, 1.465509655, 1.471918866, 1.478328077, 1.484737288, 1.491146499, 1.497439939, 1.50384915, 1.510258361, 1.516667572, 1.523076783, 1.529485994, 1.535779434, 1.542188645, 1.548597856, 1.555007067, 1.561416277, 1.567825488, 1.574234699, 1.58052814, 1.586937351, 1.593346561, 1.599755772, 1.606164983, 1.612574194, 1.618867634, 1.625276845, 1.631686056, 1.638095267, 1.644504478, 1.650913689, 1.657207129, 1.66361634, 1.670025551, 1.676434762, 1.682843973, 1.689253184, 1.695662395, 1.701955835, 1.708365046, 1.714774257, 1.721183468, 1.727592679, 1.73400189, 1.74029533, 1.746704541, 1.753113752, 1.759522963, 1.765932173, 1.772341384, 1.778634825, 1.785044036, 1.791453247, 1.797862457, 1.804271668, 1.810680879, 1.81697432, 1.823383531, 1.829792741, 1.836201952, 1.842611163, 1.849020374, 1.855313814, 1.861723025, 1.868132236, 1.874541447, 1.880950658, 1.887359869, 1.89376908, 1.90006252, 1.906471731, 1.912880942, 1.919290153, 1.925699364, 1.932108575, 1.938402015, 1.944811226, 1.951220437, 1.957629648, 1.964038859, 1.97044807, 1.97674151, 1.983150721, 1.989559932, 1.995969143, 2.002378353, 2.008671794, 2.015081005, 2.021490216, 2.027899427, 2.034308637, 2.040717848, 2.047011289, 2.0534205, 2.05982971, 2.066238921, 2.072648132, 2.079057343, 2.085350784, 2.091759994, 2.098169205, 2.104578416, 2.110987627, 2.117281068, 2.123690278, 2.130099489, 2.1365087, 2.142917911, 2.149211351, 2.155620562, 2.162029773, 2.168438984, 2.174848195, 2.181141635, 2.187550846, 2.193960057, 2.200369268, 2.206778479, 2.213071919, 2.21948113, 2.225890341, 2.232299552, 2.238708763, 2.245117974, 2.251411414, 2.257820625, 2.264229836, 2.270639047, 2.277048258, 2.283341698, 2.289750909, 2.29616012, 2.302569331, 2.308978542, 2.315387753, 2.321681193, 2.328090404, 2.334499615, 2.340908826, 2.347318037, 2.353727247, 2.360020688, 2.366429899, 2.37283911, 2.379248321, 2.385657531, 2.392066742, 2.398360183, 2.404769394, 2.411178604, 2.417587815, 2.423997026, 2.430406237, 2.436699678, 2.443108888, 2.449518099, 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, 2.947699991, 2.953993432, 2.960402643, 2.966811853, 2.973221064, 2.979514505, 2.985923716, 2.992332927, 2.998742137, 3.005035578, 3.011444789, 3.017854, 3.024263211, 3.030556651, 3.036965862, 3.043375073, 3.049784284, 3.056077724, 3.062486935, 3.068896146, 3.075305357, 3.081598797, 3.088008008, 3.094417219, 3.10082643, 3.10711987, 3.113529081, 3.119938292, 3.126347503, 3.132640943, 3.139050154, 3.145459365, 3.151868576, 3.158162016, 3.164571227, 3.170980438, 3.177273878, 3.183683089, 3.1900923, 3.196501511, 3.202794951, 3.209204162, 3.215613373, 3.222022584, 3.228316024, 3.234725235, 3.241134446, 3.247427887, 3.253837098, 3.260246308, 3.266539749, 3.27294896, 3.279358171, 3.285767381, 3.292060822, 3.298470033, 3.304879244, 3.311172684, 3.317581895, 3.323991106, 3.330284546, 3.336693757, 3.343102968, 3.349396408, 3.355805619, 3.36221483, 3.36850827, 3.374917481, 3.381326692, 3.387620133, 3.394029344, 3.400438554, 3.406731995, 3.413141206, 3.419550417, 3.425843857, 3.432253068, 3.438662279, 3.444955719, 3.45136493, 3.457774141, 3.464067581, 3.470476792, 3.476886003, 3.483179443, 3.489588654, 3.495997865, 3.502291306, 3.508700517, 3.515109727, 3.521403168, 3.527812379, 3.534105819, 3.54051503, 3.546924241, 3.553217681, 3.559626892, 3.566036103, 3.572329543, 3.578738754, 3.585032195, 3.591441406, 3.597850616, 3.604144057, 3.610553268, 3.616962479, 3.623255919, 3.62966513, 3.63595857, 3.642367781, 3.648776992, 3.655070432, 3.661479643, 3.667773084, 3.674182295, 3.680591505, 3.686884946, 3.693294157, 3.699587597, 3.705996808, 3.712406019, 3.718699459, 3.72510867, 3.731402111, 3.737811321, 3.744104762, 3.750513973, 3.756923184, 3.763216624, 3.769625835, 3.775919275, 3.782328486, 3.788621926, 3.795031137, 3.807733789, 3.82043644, 3.833139091, 3.845841742, 3.858544394, 3.871247045, 3.877540485, 3.890243137, 3.902945788, 3.909239228, 3.92194188, 3.934644531, 3.947347182, 3.953640622, 3.966343274, 3.979045925, 3.991748576, 4.004451228, 4.017153879, 4.02985653, 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])

(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 !)

Hello everyone

I need help solving a system of equations as below. I'm looking for a way to do it, but I don't understand the general concept of how such an equation is calculated. So far I've been using a package in LabVIEW that worked similarly to Simulink and that was clear to me, whereas here I'm overwhelmed by the multitude of options and that's why I'm asking for help.

I need to solve these equations analogously to Matlab-Simulink, i.e., a time interval and integration step, and a numerical procedure in symbolic versions.

Help_me.mw

I see this question https://mathematica.stackexchange.com/questions/304317/how-to-draw-a-number-of-circles-inscribed-in-a-square-so-that-the-sum-of-the-rad

I have a square with length of side is $a$. How to draw a number of circles inscribed in a square so that the sum of the radii of the circle is greatest? In the below picture is twenty circles inscribed in a square. We can consider number of circles are 5, 6, ... We consider number of the circles is fixed.

How can I tell Maple to do that.

I am getting Maple server crash each time running this solve command.

Could others reproduce it? I am using windows 10. Maple 2024.  Why does it happen?

Will report it to Maplesoft in case it is not known. Worksheet below.

Download maple_crash_calling_solve_june_18_2024.mw

This bug seems to have been introduced in Maple 2023 since it crashes there also.

But not in Maple 2022. No crash there. Same PC.

Download maple_NO_crash_calling_solve_june_18_maple_2022.mw

Is this a valid behvior by int?   

int(A,x,method=_RETURNVERBOSE) hangs.

But  int(simplify(A),x,method=_RETURNVERBOSE) returns in few seconds with "default" result same as int(A,x)

Should this have happen? I try to avoid calling simplify unless neccessary because it can add csgn's and signums and so on to the result. 

But the question is: Should one really need to simplify the integrand to get the result in this example? Does this mean one should call simplify on the integrand to avoid the hang that can show up? 

This only happens when using method=_RETURNVERBOSE 

Just trying to find out if this is normal behavior and can be expected sometimes.

Download why_int_hang_unless_simplify_june_15_2024.mw

On the corresponding Modelica page I find

Since MapleSim 2024 now has been upgraded to Modelica 4.0 (which I appreciate very much by the way - Thank you), I was wondering if I could give this libraray a try?

I am looking for simple ways to set up digital controllers in the context of developement of code for micro-controllers. From the github page:

Furthermore, in sublibrary Controller about 20 input/output blocks of linear systems are provided that are based on the different representation forms, e.g., PID, StateSpace, Filter blocks. A unique feature of these blocks is that it is very convenient to quickly switch between a continuous and a discrete block representation. Also, templates are provide to quickly built-up standard controller structures. 

hi,

I don't know how to test the answers I got in Mathematica, can you help me?
I can't send the file here, I really need help.

As Maple is not equipped to handle numerical solutions of elliptic PDEs, can anyone help top solve PDEs by finite differences or any other numerical solver?

pde.mw