Maple 18 Questions and Posts

These are Posts and Questions associated with the product, Maple 18

Hi,

 I am using a very basic function in Statistics package as below and get error. 

X := RandomVariable(Normal(a, b));

I would like integrate and plot the following double integral:

 

I enclosed tryingdf.mw

  restart: with(plots):
  H := a -> piecewise(a>=0,1):
  f1 := y->(H(y-1*Pi)-H(y-2*Pi))*sin(y)^2:

  g1:=(f1(y)/sqrt(4*Pi*t))*(sin((x-y)^2/4/t+Pi/4)-sin((x+y)^2/4/t+Pi/4)):
  g2:= int(g1, y= 0..100):

  g3:= diff(g2,t):
  g4:= diff(g2,x$2):
  g5:= (g3^2+g4^2)/2:
  E2:= unapply(Int(g5, x= 0..100, epsilon= 1e-4, digits= 7), t):
  CodeTools:-Usage( plot(E2, 0..20, numpoints= 50, labels= [t, E]));

The above mentioned code should give constant figure, but it takes a lot of time and not accurate.

If you can help me to improve these codes, I would be pleased.

 

Thanks!

hi.may  help me for solve this nonlinear equations by numeric solver maple39.d39.pdfocx39.pdf

thanks alot

file format is pdf and word type

 

Hi,

I'm trying to compile a worksheet and save it on Mac OSX. The worksheet ends with this code:

>

> save `E:\\class work\\THERMODYNAMICS\\ThermoSoft\\Compiled\\SteamTables.m`;

>

The guide tells me to change the path to a user specified folder where the .m file will be saved.

Since the path name already given is a Windows path, I have to change that to a Mac path.

My problem is, that i don't know what I should write?

I have tried writing:

save `\\Macintosh HD\\Users\\Name\\Folder\\SteamTables.m`;

But it gives an error, and can't save the file. 

Hi everyone,

Consider this Maple 18 doc:

FareySeq.mw

 

I am having the same problem as in:

http://www.mapleprimes.com/questions/203593-Maple-13-Fast-Maple-18-Crawling#comment213548

Namely, the produced animated .gif contains only one frame. Animation doesn't work, even though the button of the animation is active after I click on frame #1.

I have acer's solution at the end, but it doesn't work in this case either.

Breaks in both Maple 13 and 18.

TIA,

Yiannis

 

hi .how i can solve nonlinear equation with unknown prameter omega as below

thanksfrekans.mw

Hi All,

 

I am working on modeling dynamics for a robot. It requires a write some long expressions into C++.  When I do it, it has some strange problem in creation of C++ code from a vector.

Here is an example of the problem. I have a multivariable polynomial term, I using coeffs to get its coefficients and corresponding unevaluated variables, which works fine. But I can't convert the vector into C++

Ca := coeffs(term, [W, Rf, Rr, dxf, rcf, rcr], 'L'):

L;                           Rf, Rr, dxf

C(L, resultname="L11", output="dSpDdx1.cpp");

Error, (in Translate) options [Rr, dxf] not recognized.

I don't know why maple thought the unevaluated variable Rr and dxf are options instead of the vector I want to convert into c++. Does any one know what I did wrong?

 

Thanks in advance.

 

Everett

https://drive.google.com/file/d/0Bxs_ao6uuBDUVkE1b2pmcnljcnc/view?usp=sharing
https://drive.google.com/file/d/0Bxs_ao6uuBDUbE56R3Z1c0tLRkE/view?usp=sharing

restart;
changering := proc(Equation1, f3,g3)
g1 := (x,y)-> f3;
f1 := (x,y)-> g3;
h:=subs(g=g1, Equation1);
h:=subs(f=f1, h);
h:=subs(0=0, h);
return h;
end proc:
Eq1 := f(x,g(x,y)) + f(x,y);
h2 := changering(Eq1,x+y, x+y);
h2;

g1 := (x,y)-> x+y;
f1 := (x,y)-> x+y;
h:=subs(g=g1, Eq1);
h:=subs(f=f1, h);
h:=subs(0=0, h);

 

I'm writing an algorithm that takes a while and I'd like to print status messages periodically. I typically use the command line interface, and this is no problem. I just do a printf whenever I need.

However, some people who will use this code prefer to use the GUI, and I've found that the GUI tends to buffer the output from printf, printing 20-30 printf statements in clumps instead of as they're called. Is there any remedy for this?

hi.i am a problem with rule solve or fsolve in maple....please see attached file and say your comments

thanks

equ.mw

 

plot(t+1, t); plot(t+1, t = -1 .. 1);

Error, (in plot) incorrect first argument t+1
Error, (in plot) incorrect first argument t+1

Every time I try to write a procedure I get stuck.

This time is no different:

restart;

global a:=0.081819221, PI:=3.1415926535897932384626433832795;
Ecce:=proc(lt)
lat:=lt*(PI/180);
b:=((1-a*sin(lat))/(1+a*sin(lat)))^(a/2));
t:=ln((tan(PI/4)+lat/2));
d:=3437.7468*t*b;
return d;
end proc;

I digit the following to get a result
Ecce(45.2112);

and this is what I get (in blue)
Ecce(45.2112)

Every single time. I can never have a procedure that works right away. It's getting on my nerves

This Question involves using dsolve(..., numeric) for an IVP specifed by a procedure. This is based on a Question asked earlier today. In this Question, I have no interest in how to solve this IVP or in why this solution technique fails. In the worksheet below, the odeplot command seems to get stuck in an infinite loop (I am not interested in why that happens), and I press the stop button (in the Standard GUI). Then, instead of the usual Warning, computation interupted message followed by a return to the command prompt, I get an informative message and the plot that has been computed so far. This seems like a very useful feature: to return the results computed so far after an interuption. Furthermore, those results are programmatically accessible. My Question is How is this done? How do you trap the stop button and return the results?


restart:


Sys:= proc(N,t,Y,YP)

local eqs,yp2,yp4;

     YP[1]:= Y[2];

     YP[3]:= Y[4];

     eqs:= [
          yp2*Y[3]+yp4*Y[2]*sin(Y[1]^2)+cos(yp4*Y[3]) = sin(t),
          Y[2]*yp4*sin(Y[1]*Y[3])+5*yp2*Y[4]*cos(Y[1]^2)+t^2*Y[1]*Y[3]^2 = exp(-Y[3]^2)
     ];

     YP[2],YP[4]:= op(subs(fsolve(eqs,{yp2=1,yp4=2}),[yp2,yp4]))

end proc:

res:= dsolve(
     numeric, procedure= Sys, initial= Array([1,1,2,2]),
     number= 4, procvars= [x1(t),diff(x1(t),t),x2(t),diff(x2(t),t)],
     start= 0, maxfun= 0
):

 

plots:-odeplot(res, [t,x1(t)], 0..0.27);
#After 10 seconds or so, (I did)/(you should) hit the stop button.

Warning, cannot evaluate the solution further right of .25109286, cannot downgrade delay storage for problems with delay derivative order > 1, try increasing delaypts

#Note that the command's result is still programmatically accessible:

P:= %;

PLOT(CURVES(Array(1..201, 1..2, {(1, 1) = .0, (1, 2) = 1.0, (2, 1) = 0.135e-2, (2, 2) = 1.001349729199153, (3, 1) = 0.27e-2, (3, 2) = 1.0026989169868508, (4, 1) = 0.405e-2, (4, 2) = 1.004047563645964, (5, 1) = 0.54e-2, (5, 2) = 1.005395669456049, (6, 1) = 0.675e-2, (6, 2) = 1.0067432346933451, (7, 1) = 0.81e-2, (7, 2) = 1.0080902596307788, (8, 1) = 0.945e-2, (8, 2) = 1.0094367445379593, (9, 1) = 0.108e-1, (9, 2) = 1.0107826896811836, (10, 1) = 0.1215e-1, (10, 2) = 1.01212809532343, (11, 1) = 0.135e-1, (11, 2) = 1.0134729617243639, (12, 1) = 0.1485e-1, (12, 2) = 1.0148172891403349, (13, 1) = 0.162e-1, (13, 2) = 1.0161610778243784, (14, 1) = 0.1755e-1, (14, 2) = 1.0175043280262126, (15, 1) = 0.189e-1, (15, 2) = 1.0188470399922427, (16, 1) = 0.2025e-1, (16, 2) = 1.020189213965557, (17, 1) = 0.216e-1, (17, 2) = 1.0215308501859302, (18, 1) = 0.2295e-1, (18, 2) = 1.0228719488898206, (19, 1) = 0.243e-1, (19, 2) = 1.0242125103103719, (20, 1) = 0.2565e-1, (20, 2) = 1.0255525346774133, (21, 1) = 0.27e-1, (21, 2) = 1.0268920222174571, (22, 1) = 0.2835e-1, (22, 2) = 1.0282309731537027, (23, 1) = 0.297e-1, (23, 2) = 1.0295693877060321, (24, 1) = 0.3105e-1, (24, 2) = 1.0309072660910137, (25, 1) = 0.324e-1, (25, 2) = 1.0322446085219004, (26, 1) = 0.3375e-1, (26, 2) = 1.0335814152086296, (27, 1) = 0.351e-1, (27, 2) = 1.0349176863578238, (28, 1) = 0.3645e-1, (28, 2) = 1.0362534221727904, (29, 1) = 0.378e-1, (29, 2) = 1.037588622853522, (30, 1) = 0.3915e-1, (30, 2) = 1.0389232885966946, (31, 1) = 0.405e-1, (31, 2) = 1.0402574195956709, (32, 1) = 0.4185e-1, (32, 2) = 1.041591016040497, (33, 1) = 0.432e-1, (33, 2) = 1.0429240781179057, (34, 1) = 0.4455e-1, (34, 2) = 1.044256606011312, (35, 1) = 0.459e-1, (35, 2) = 1.0455885999008183, (36, 1) = 0.4725e-1, (36, 2) = 1.04692005996321, (37, 1) = 0.486e-1, (37, 2) = 1.0482509863719582, (38, 1) = 0.4995e-1, (38, 2) = 1.0495813792972193, (39, 1) = 0.513e-1, (39, 2) = 1.0509112389058335, (40, 1) = 0.5265e-1, (40, 2) = 1.0522405653613263, (41, 1) = 0.54e-1, (41, 2) = 1.0535693587831985, (42, 1) = 0.5535e-1, (42, 2) = 1.0548976192244952, (43, 1) = 0.567e-1, (43, 2) = 1.0562253468268996, (44, 1) = 0.5805e-1, (44, 2) = 1.0575525417260814, (45, 1) = 0.594e-1, (45, 2) = 1.058879204046671, (46, 1) = 0.6075e-1, (46, 2) = 1.0602053339022601, (47, 1) = 0.621e-1, (47, 2) = 1.0615309313954047, (48, 1) = 0.6345e-1, (48, 2) = 1.0628559966176196, (49, 1) = 0.648e-1, (49, 2) = 1.0641805296493847, (50, 1) = 0.6615e-1, (50, 2) = 1.0655045305601394, (51, 1) = 0.675e-1, (51, 2) = 1.0668279994082868, (52, 1) = 0.6885e-1, (52, 2) = 1.06815093624119, (53, 1) = 0.702e-1, (53, 2) = 1.0694733410951756, (54, 1) = 0.7155e-1, (54, 2) = 1.0707952139955317, (55, 1) = 0.729e-1, (55, 2) = 1.0721165549565084, (56, 1) = 0.7425e-1, (56, 2) = 1.0734373639813168, (57, 1) = 0.756e-1, (57, 2) = 1.074757641062132, (58, 1) = 0.7695e-1, (58, 2) = 1.0760773861800887, (59, 1) = 0.783e-1, (59, 2) = 1.0773965993052852, (60, 1) = 0.7965e-1, (60, 2) = 1.078715280396781, (61, 1) = 0.81e-1, (61, 2) = 1.0800334294025973, (62, 1) = 0.8235e-1, (62, 2) = 1.081351046259718, (63, 1) = 0.837e-1, (63, 2) = 1.082668130894088, (64, 1) = 0.8505e-1, (64, 2) = 1.0839846832206155, (65, 1) = 0.864e-1, (65, 2) = 1.0853007031431687, (66, 1) = 0.8775e-1, (66, 2) = 1.08661619055458, (67, 1) = 0.891e-1, (67, 2) = 1.0879311453366416, (68, 1) = 0.9045e-1, (68, 2) = 1.0892455673601087, (69, 1) = 0.918e-1, (69, 2) = 1.0905594564846983, (70, 1) = 0.9315e-1, (70, 2) = 1.0918728125590897, (71, 1) = 0.945e-1, (71, 2) = 1.0931856354209235, (72, 1) = 0.9585e-1, (72, 2) = 1.0944979248968028, (73, 1) = 0.972e-1, (73, 2) = 1.0958096808022917, (74, 1) = 0.9855e-1, (74, 2) = 1.097120902941917, (75, 1) = 0.999e-1, (75, 2) = 1.098431591109168, (76, 1) = .10125, (76, 2) = 1.0997417450864941, (77, 1) = .1026, (77, 2) = 1.1010513646453082, (78, 1) = .10395, (78, 2) = 1.1023604495459853, (79, 1) = .1053, (79, 2) = 1.1036689995378606, (80, 1) = .10665, (80, 2) = 1.1049770143592332, (81, 1) = .108, (81, 2) = 1.1062844937176912, (82, 1) = .10935, (82, 2) = 1.1075914369810387, (83, 1) = .1107, (83, 2) = 1.108897843678326, (84, 1) = .11205, (84, 2) = 1.1102037134210607, (85, 1) = .1134, (85, 2) = 1.1115090457860155, (86, 1) = .11475, (86, 2) = 1.1128138403152263, (87, 1) = .1161, (87, 2) = 1.1141180965159976, (88, 1) = .11745, (88, 2) = 1.1154218138608973, (89, 1) = .1188, (89, 2) = 1.1167249917877577, (90, 1) = .12015, (90, 2) = 1.118027629699678, (91, 1) = .1215, (91, 2) = 1.1193297269650222, (92, 1) = .12285, (92, 2) = 1.1206312829174188, (93, 1) = .1242, (93, 2) = 1.1219322968557623, (94, 1) = .12555, (94, 2) = 1.123232768044212, (95, 1) = .1269, (95, 2) = 1.1245326957121933, (96, 1) = .12825, (96, 2) = 1.1258320790543948, (97, 1) = .1296, (97, 2) = 1.1271309172307735, (98, 1) = .13095, (98, 2) = 1.1284292093665487, (99, 1) = .1323, (99, 2) = 1.1297269545522062, (100, 1) = .13365, (100, 2) = 1.131024151843497, (101, 1) = .135, (101, 2) = 1.1323208002614376, (102, 1) = .13635, (102, 2) = 1.133616898792309, (103, 1) = .1377, (103, 2) = 1.1349124463876585, (104, 1) = .13905, (104, 2) = 1.1362074419642976, (105, 1) = .1404, (105, 2) = 1.137501884404303, (106, 1) = .14175, (106, 2) = 1.1387957725550182, (107, 1) = .1431, (107, 2) = 1.1400891052290492, (108, 1) = .14445, (108, 2) = 1.1413818812042709, (109, 1) = .1458, (109, 2) = 1.1426740992238196, (110, 1) = .14715, (110, 2) = 1.1439657579960996, (111, 1) = .1485, (111, 2) = 1.1452568561947796, (112, 1) = .14985, (112, 2) = 1.1465473922561644, (113, 1) = .1512, (113, 2) = 1.1478373642224777, (114, 1) = .15255, (114, 2) = 1.14912677047606, (115, 1) = .1539, (115, 2) = 1.1504156093257876, (116, 1) = .15525, (116, 2) = 1.1517038789853584, (117, 1) = .1566, (117, 2) = 1.1529915775732906, (118, 1) = .15795, (118, 2) = 1.1542787031129238, (119, 1) = .1593, (119, 2) = 1.1555652535324183, (120, 1) = .16065, (120, 2) = 1.1568512266647548, (121, 1) = .162, (121, 2) = 1.1581366202477354, (122, 1) = .16335, (122, 2) = 1.1594214319239837, (123, 1) = .1647, (123, 2) = 1.1607056592409424, (124, 1) = .16605, (124, 2) = 1.1619892996508772, (125, 1) = .1674, (125, 2) = 1.1632723505108726, (126, 1) = .16875, (126, 2) = 1.1645548090828357, (127, 1) = .1701, (127, 2) = 1.165836672533493, (128, 1) = .17145, (128, 2) = 1.1671179379343934, (129, 1) = .1728, (129, 2) = 1.1683986022619053, (130, 1) = .17415, (130, 2) = 1.169678662397219, (131, 1) = .1755, (131, 2) = 1.1709581151263448, (132, 1) = .17685, (132, 2) = 1.172236957140115, (133, 1) = .1782, (133, 2) = 1.1735151850341814, (134, 1) = .17955, (134, 2) = 1.174792795282732, (135, 1) = .1809, (135, 2) = 1.1760697835893776, (136, 1) = .18225, (136, 2) = 1.1773461457270373, (137, 1) = .1836, (137, 2) = 1.1786218774884782, (138, 1) = .18495, (138, 2) = 1.179896974422449, (139, 1) = .1863, (139, 2) = 1.181171431833682, (140, 1) = .18765, (140, 2) = 1.182445244782893, (141, 1) = .189, (141, 2) = 1.1837184080867809, (142, 1) = .19035, (142, 2) = 1.1849909163180268, (143, 1) = .1917, (143, 2) = 1.1862627638052967, (144, 1) = .19305, (144, 2) = 1.1875339446332376, (145, 1) = .1944, (145, 2) = 1.1888044526424812, (146, 1) = .19575, (146, 2) = 1.1900742814296414, (147, 1) = .1971, (147, 2) = 1.1913434243473158, (148, 1) = .19845, (148, 2) = 1.1926118745040841, (149, 1) = .1998, (149, 2) = 1.193879624764512, (150, 1) = .20115, (150, 2) = 1.195146667749144, (151, 1) = .2025, (151, 2) = 1.1964129956664247, (152, 1) = .20385, (152, 2) = 1.1976785994686407, (153, 1) = .2052, (153, 2) = 1.1989434702227826, (154, 1) = .20655, (154, 2) = 1.2002075985381981, (155, 1) = .2079, (155, 2) = 1.2014709744148189, (156, 1) = .20925, (156, 2) = 1.2027335872431564, (157, 1) = .2106, (157, 2) = 1.2039954258043046, (158, 1) = .21195, (158, 2) = 1.2052564782699382, (159, 1) = .2133, (159, 2) = 1.2065167322023145, (160, 1) = .21465, (160, 2) = 1.2077761745542712, (161, 1) = .216, (161, 2) = 1.2090347916692288, (162, 1) = .21735, (162, 2) = 1.2102925692811892, (163, 1) = .2187, (163, 2) = 1.2115494925044938, (164, 1) = .22005, (164, 2) = 1.2128055446540236, (165, 1) = .2214, (165, 2) = 1.2140607079057624, (166, 1) = .22275, (166, 2) = 1.2153149635677838, (167, 1) = .2241, (167, 2) = 1.216568291442756, (168, 1) = .22545, (168, 2) = 1.2178206698279472, (169, 1) = .2268, (169, 2) = 1.2190720755152231, (170, 1) = .22815, (170, 2) = 1.2203224837910482, (171, 1) = .2295, (171, 2) = 1.221571868436484, (172, 1) = .23085, (172, 2) = 1.22282020172719, (173, 1) = .2322, (173, 2) = 1.224067453329788, (174, 1) = .23355, (174, 2) = 1.225313589366023, (175, 1) = .2349, (175, 2) = 1.226558573530251, (176, 1) = .23625, (176, 2) = 1.227802365810496, (177, 1) = .2376, (177, 2) = 1.229044922475539, (178, 1) = .23895, (178, 2) = 1.2302861960749185, (179, 1) = .2403, (179, 2) = 1.2315261354389295, (180, 1) = .24165, (180, 2) = 1.2327646837576534, (181, 1) = .243, (181, 2) = 1.2340017760538164, (182, 1) = .24435, (182, 2) = 1.2352373405616506, (183, 1) = .2457, (183, 2) = 1.2364712973589982, (184, 1) = .24705, (184, 2) = 1.2377035562942194, (185, 1) = .2484, (185, 2) = 1.2389340149185948, (186, 1) = .24975, (186, 2) = 1.2401625575137232, (187, 1) = .2511, (187, 2) = undefined, (188, 1) = .25245, (188, 2) = undefined, (189, 1) = .2538, (189, 2) = undefined, (190, 1) = .25515, (190, 2) = undefined, (191, 1) = .2565, (191, 2) = undefined, (192, 1) = .25785, (192, 2) = undefined, (193, 1) = .2592, (193, 2) = undefined, (194, 1) = .26055, (194, 2) = undefined, (195, 1) = .2619, (195, 2) = undefined, (196, 1) = .26325, (196, 2) = undefined, (197, 1) = .2646, (197, 2) = undefined, (198, 1) = .26595, (198, 2) = undefined, (199, 1) = .2673, (199, 2) = undefined, (200, 1) = .26865, (200, 2) = undefined, (201, 1) = .27, (201, 2) = undefined}, datatype = float[8], order = C_order), COLOUR(RGB, .47058824, 0., 0.54901961e-1)), AXESLABELS(t, x1))

``


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