Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Dear all

I tried to minimize a function but maple 18 does not return any solution.

minimize(sqrt(1-(4*(x-1))*(1-y)/(x^2*(1+y))), x = 3 .. 4, y = 0 .. 1, location)

 

thanks for any help

 

 

 

Hi, when trying to solve 2 equations with 2 variables the fsolve function reutrns just expression instead of numerical solution. Can someone please help with this? Thanks a lot

 

NRTL.mw
 

restart

T:=325:

a12:=2305.28444347652 - 9.14490843016421*T + 0.00680052257590234*T^2:

a21:=-6665.24838284836 + 46.0897018087247*T - 0.0694991633494123*T^2:

alfa:=0.3:

x2:=1-x1:

tau12:=a12/T:

tau21:=a21/T:

G12:=exp(-alfa*tau12):

G21:=exp(-alfa*tau21):

lng1:=x2^2*(tau21*(G21/(x1+x2*G21))^2+tau12*(G12/((x2+x1*G12)^2))):

lng2:=x1^2*(tau12*(G12/(x2+x1*G12))^2+tau21*(G21/((x1+x2*G21)^2))):

lnga1:=subs(x1=xa1,lng1):

lngb1:=subs(x1=xb1,lng1):

lnga2:=subs(x1=xa1,lng2):

lngb2:=subs(x1=xb1,lng2):

r1:=lnga1+ln(xa1)=lngb1+ln(xb1)

(1-xa1)^2*(.4966874722/(.4073000470+.5926999530*xa1)^2+.1510891213/(-0.464212743e-1*xa1+1)^2)+ln(xa1) = (1-xb1)^2*(.4966874722/(.4073000470+.5926999530*xb1)^2+.1510891213/(-0.464212743e-1*xb1+1)^2)+ln(xb1)

(1)

r2:=lnga2+ln(1-xa1)=lngb2+ln(1-xb1)

xa1^2*(.1440753718/(-0.464212743e-1*xa1+1)^2+1.219463331/(.4073000470+.5926999530*xa1)^2)+ln(1-xa1) = xb1^2*(.1440753718/(-0.464212743e-1*xb1+1)^2+1.219463331/(.4073000470+.5926999530*xb1)^2)+ln(1-xb1)

(2)

fsolve({r1,r2})

fsolve({xa1^2*(.1440753718/(-0.464212743e-1*xa1+1)^2+1.219463331/(.4073000470+.5926999530*xa1)^2)+ln(1-xa1) = xb1^2*(.1440753718/(-0.464212743e-1*xb1+1)^2+1.219463331/(.4073000470+.5926999530*xb1)^2)+ln(1-xb1), (1-xa1)^2*(.4966874722/(.4073000470+.5926999530*xa1)^2+.1510891213/(-0.464212743e-1*xa1+1)^2)+ln(xa1) = (1-xb1)^2*(.4966874722/(.4073000470+.5926999530*xb1)^2+.1510891213/(-0.464212743e-1*xb1+1)^2)+ln(xb1)}, {xa1, xb1})

(3)

 


 

Download NRTL.mw

 

I used text math input, finding parenthesis is very difficult sometimes.

 

It would be very nice if parenthesis were color coded OR coloring of the texted was based on parenthetical depth.

E.g.,

display(plot(something(or another)))

 

 

How to make an animation that secant lines of f(x) = sin(x) through x = 1 approach the
tangent line 

 

A way of cutting holes on an implicit plot. This is from the field of numerical parameterization of surfaces. On the example of the surface  x3 = 0.01*exp (x1) / (0.01 + x1^4 + x2^4 + x3^4)  consider the approach to producing holes. The surface is locally parameterized in some suitable way and the place for the hole and its size are selected. In the first example, the parametrization is performed on the basis of the section of the initial surface by perpendicular planes. In the second example, "round"  parametrization. It is made on the basis of the cylinder and the planes passing through its axis. Holes can be of any size and any shape. In the figures, the cut out surface sections are colored green and are located above their own holes at an equidistant to the original surface.
HOLE_1.mwHOLE_2.mw

Hello,

I obtained a mode shape from a vibration problem.

I want to normalized mode shape for the comparison of responses corresponding to different modes.

How I can normalize the mode shape that provided in the maple file?

The figure corresponds to this mode shape is plotted that is attached.

Thanks

mode_shapes.mw


 

a := Vector(325, {(1) = 0, (2) = 0., (3) = 0., (4) = 0.1e-3, (5) = 0.1e-3, (6) = 0.2e-3, (7) = 0.4e-3, (8) = 0.7e-3, (9) = 0.10e-2, (10) = 0.16e-2, (11) = 0.23e-2, (12) = 0.33e-2, (13) = 0.44e-2, (14) = 0.65e-2, (15) = 0.89e-2, (16) = 0.114e-1, (17) = 0.139e-1, (18) = 0.162e-1, (19) = 0.178e-1, (20) = 0.186e-1, (21) = 0.183e-1, (22) = 0.171e-1, (23) = 0.150e-1, (24) = 0.120e-1, (25) = 0.85e-2, (26) = 0.51e-2, (27) = 0.16e-2, (28) = -0.19e-2, (29) = -0.51e-2, (30) = -0.79e-2, (31) = -0.103e-1, (32) = -0.120e-1, (33) = -0.132e-1, (34) = -0.138e-1, (35) = -0.136e-1, (36) = -0.129e-1, (37) = -0.118e-1, (38) = -0.106e-1, (39) = -0.94e-2, (40) = -0.83e-2, (41) = -0.75e-2, (42) = -0.71e-2, (43) = -0.69e-2, (44) = -0.71e-2, (45) = -0.75e-2, (46) = -0.79e-2, (47) = -0.83e-2, (48) = -0.84e-2, (49) = -0.81e-2, (50) = -0.73e-2, (51) = -0.60e-2, (52) = -0.43e-2, (53) = -0.20e-2, (54) = 0.11e-2, (55) = 0.46e-2, (56) = 0.82e-2, (57) = 0.117e-1, (58) = 0.149e-1, (59) = 0.174e-1, (60) = 0.191e-1, (61) = 0.200e-1, (62) = 0.198e-1, (63) = 0.187e-1, (64) = 0.167e-1, (65) = 0.139e-1, (66) = 0.103e-1, (67) = 0.65e-2, (68) = 0.28e-2, (69) = -0.5e-3, (70) = -0.27e-2, (71) = -0.45e-2, (72) = -0.56e-2, (73) = -0.62e-2, (74) = -0.64e-2, (75) = -0.64e-2, (76) = -0.62e-2, (77) = -0.60e-2, (78) = -0.58e-2, (79) = -0.57e-2, (80) = -0.59e-2, (81) = -0.62e-2, (82) = -0.69e-2, (83) = -0.78e-2, (84) = -0.90e-2, (85) = -0.103e-1, (86) = -0.122e-1, (87) = -0.138e-1, (88) = -0.150e-1, (89) = -0.153e-1, (90) = -0.147e-1, (91) = -0.133e-1, (92) = -0.111e-1, (93) = -0.82e-2, (94) = -0.49e-2, (95) = -0.13e-2, (96) = 0.25e-2, (97) = 0.62e-2, (98) = 0.96e-2, (99) = 0.126e-1, (100) = 0.150e-1, (101) = 0.167e-1, (102) = 0.176e-1, (103) = 0.176e-1, (104) = 0.169e-1, (105) = 0.155e-1, (106) = 0.135e-1, (107) = 0.112e-1, (108) = 0.89e-2, (109) = 0.68e-2, (110) = 0.50e-2, (111) = 0.37e-2, (112) = 0.28e-2, (113) = 0.23e-2, (114) = 0.22e-2, (115) = 0.21e-2, (116) = 0.22e-2, (117) = 0.22e-2, (118) = 0.21e-2, (119) = 0.19e-2, (120) = 0.15e-2, (121) = 0.8e-3, (122) = -0., (123) = -0.11e-2, (124) = -0.25e-2, (125) = -0.40e-2, (126) = -0.68e-2, (127) = -0.97e-2, (128) = -0.127e-1, (129) = -0.154e-1, (130) = -0.175e-1, (131) = -0.189e-1, (132) = -0.193e-1, (133) = -0.187e-1, (134) = -0.171e-1, (135) = -0.146e-1, (136) = -0.113e-1, (137) = -0.76e-2, (138) = -0.42e-2, (139) = -0.9e-3, (140) = 0.23e-2, (141) = 0.52e-2, (142) = 0.76e-2, (143) = 0.96e-2, (144) = 0.110e-1, (145) = 0.118e-1, (146) = 0.121e-1, (147) = 0.118e-1, (148) = 0.110e-1, (149) = 0.100e-1, (150) = 0.91e-2, (151) = 0.84e-2, (152) = 0.78e-2, (153) = 0.75e-2, (154) = 0.76e-2, (155) = 0.79e-2, (156) = 0.85e-2, (157) = 0.92e-2, (158) = 0.98e-2, (159) = 0.103e-1, (160) = 0.103e-1, (161) = 0.98e-2, (162) = 0.88e-2, (163) = 0.72e-2, (164) = 0.51e-2, (165) = 0.24e-2, (166) = -0.15e-2, (167) = -0.57e-2, (168) = -0.99e-2, (169) = -0.137e-1, (170) = -0.164e-1, (171) = -0.184e-1, (172) = -0.196e-1, (173) = -0.197e-1, (174) = -0.189e-1, (175) = -0.171e-1, (176) = -0.146e-1, (177) = -0.115e-1, (178) = -0.81e-2, (179) = -0.47e-2, (180) = -0.16e-2, (181) = 0.8e-3, (182) = 0.24e-2, (183) = 0.34e-2, (184) = 0.40e-2, (185) = 0.43e-2, (186) = 0.43e-2, (187) = 0.42e-2, (188) = 0.41e-2, (189) = 0.41e-2, (190) = 0.43e-2, (191) = 0.47e-2, (192) = 0.53e-2, (193) = 0.62e-2, (194) = 0.76e-2, (195) = 0.92e-2, (196) = 0.109e-1, (197) = 0.127e-1, (198) = 0.146e-1, (199) = 0.160e-1, (200) = 0.166e-1, (201) = 0.162e-1, (202) = 0.149e-1, (203) = 0.128e-1, (204) = 0.99e-2, (205) = 0.65e-2, (206) = 0.28e-2, (207) = -0.10e-2, (208) = -0.47e-2, (209) = -0.82e-2, (210) = -0.112e-1, (211) = -0.137e-1, (212) = -0.154e-1, (213) = -0.164e-1, (214) = -0.166e-1, (215) = -0.159e-1, (216) = -0.147e-1, (217) = -0.129e-1, (218) = -0.110e-1, (219) = -0.90e-2, (220) = -0.73e-2, (221) = -0.59e-2, (222) = -0.49e-2, (223) = -0.44e-2, (224) = -0.41e-2, (225) = -0.41e-2, (226) = -0.42e-2, (227) = -0.43e-2, (228) = -0.43e-2, (229) = -0.41e-2, (230) = -0.36e-2, (231) = -0.29e-2, (232) = -0.18e-2, (233) = -0.3e-3, (234) = 0.16e-2, (235) = 0.38e-2, (236) = 0.62e-2, (237) = 0.88e-2, (238) = 0.121e-1, (239) = 0.151e-1, (240) = 0.175e-1, (241) = 0.192e-1, (242) = 0.198e-1, (243) = 0.194e-1, (244) = 0.181e-1, (245) = 0.159e-1, (246) = 0.122e-1, (247) = 0.80e-2, (248) = 0.34e-2, (249) = -0.9e-3, (250) = -0.41e-2, (251) = -0.68e-2, (252) = -0.87e-2, (253) = -0.98e-2, (254) = -0.103e-1, (255) = -0.103e-1, (256) = -0.98e-2, (257) = -0.92e-2, (258) = -0.86e-2, (259) = -0.80e-2, (260) = -0.76e-2, (261) = -0.75e-2, (262) = -0.77e-2, (263) = -0.82e-2, (264) = -0.89e-2, (265) = -0.98e-2, (266) = -0.109e-1, (267) = -0.117e-1, (268) = -0.121e-1, (269) = -0.119e-1, (270) = -0.111e-1, (271) = -0.96e-2, (272) = -0.74e-2, (273) = -0.46e-2, (274) = -0.7e-3, (275) = 0.36e-2, (276) = 0.80e-2, (277) = 0.121e-1, (278) = 0.150e-1, (279) = 0.173e-1, (280) = 0.188e-1, (281) = 0.193e-1, (282) = 0.189e-1, (283) = 0.176e-1, (284) = 0.155e-1, (285) = 0.128e-1, (286) = 0.98e-2, (287) = 0.67e-2, (288) = 0.38e-2, (289) = 0.15e-2, (290) = -0.1e-3, (291) = -0.12e-2, (292) = -0.18e-2, (293) = -0.21e-2, (294) = -0.22e-2, (295) = -0.22e-2, (296) = -0.21e-2, (297) = -0.22e-2, (298) = -0.24e-2, (299) = -0.27e-2, (300) = -0.33e-2, (301) = -0.42e-2, (302) = -0.54e-2, (303) = -0.68e-2, (304) = -0.85e-2, (305) = -0.103e-1, (306) = -0.130e-1, (307) = -0.154e-1, (308) = -0.170e-1, (309) = -0.177e-1, (310) = -0.173e-1, (311) = -0.160e-1, (312) = -0.138e-1, (313) = -0.108e-1, (314) = -0.75e-2, (315) = -0.38e-2, (316) = -0., (317) = 0.37e-2, (318) = 0.71e-2, (319) = 0.101e-1, (320) = 0.124e-1, (321) = 0.141e-1, (322) = 0.149e-1, (323) = 0.152e-1, (324) = 0.152e-1, (325) = 0.149e-1})

_rtable[18446746442173411926]

(1)

``

t := Vector(325, {(1) = 0, (2) = 0.67e-2, (3) = 0.134e-1, (4) = 0.202e-1, (5) = 0.269e-1, (6) = 0.336e-1, (7) = 0.403e-1, (8) = 0.471e-1, (9) = 0.538e-1, (10) = 0.637e-1, (11) = 0.736e-1, (12) = 0.836e-1, (13) = 0.935e-1, (14) = .1098, (15) = .1261, (16) = .1424, (17) = .1586, (18) = .1764, (19) = .1943, (20) = .2121, (21) = .2299, (22) = .2465, (23) = .2632, (24) = .2798, (25) = .2965, (26) = .3109, (27) = .3253, (28) = .3397, (29) = .3542, (30) = .3686, (31) = .3830, (32) = .3974, (33) = .4118, (34) = .4284, (35) = .4450, (36) = .4615, (37) = .4781, (38) = .4938, (39) = .5095, (40) = .5253, (41) = .5410, (42) = .5567, (43) = .5724, (44) = .5882, (45) = .6039, (46) = .6204, (47) = .6368, (48) = .6533, (49) = .6697, (50) = .6843, (51) = .6989, (52) = .7135, (53) = .7281, (54) = .7448, (55) = .7615, (56) = .7781, (57) = .7948, (58) = .8113, (59) = .8278, (60) = .8442, (61) = .8607, (62) = .8775, (63) = .8943, (64) = .9112, (65) = .9280, (66) = .9468, (67) = .9655, (68) = .9843, (69) = 1.0031, (70) = 1.0190, (71) = 1.0348, (72) = 1.0507, (73) = 1.0665, (74) = 1.0794, (75) = 1.0924, (76) = 1.1053, (77) = 1.1183, (78) = 1.1312, (79) = 1.1442, (80) = 1.1571, (81) = 1.1700, (82) = 1.1842, (83) = 1.1984, (84) = 1.2126, (85) = 1.2268, (86) = 1.2459, (87) = 1.2651, (88) = 1.2842, (89) = 1.3034, (90) = 1.3198, (91) = 1.3362, (92) = 1.3527, (93) = 1.3691, (94) = 1.3844, (95) = 1.3996, (96) = 1.4149, (97) = 1.4302, (98) = 1.4454, (99) = 1.4607, (100) = 1.4760, (101) = 1.4913, (102) = 1.5075, (103) = 1.5238, (104) = 1.5400, (105) = 1.5563, (106) = 1.5733, (107) = 1.5904, (108) = 1.6075, (109) = 1.6246, (110) = 1.6410, (111) = 1.6574, (112) = 1.6739, (113) = 1.6903, (114) = 1.7021, (115) = 1.7140, (116) = 1.7258, (117) = 1.7377, (118) = 1.7495, (119) = 1.7614, (120) = 1.7732, (121) = 1.7851, (122) = 1.7964, (123) = 1.8076, (124) = 1.8189, (125) = 1.8302, (126) = 1.8475, (127) = 1.8649, (128) = 1.8822, (129) = 1.8995, (130) = 1.9168, (131) = 1.9341, (132) = 1.9514, (133) = 1.9687, (134) = 1.9856, (135) = 2.0026, (136) = 2.0195, (137) = 2.0365, (138) = 2.0507, (139) = 2.0649, (140) = 2.0791, (141) = 2.0933, (142) = 2.1075, (143) = 2.1217, (144) = 2.1359, (145) = 2.1501, (146) = 2.1674, (147) = 2.1846, (148) = 2.2018, (149) = 2.2191, (150) = 2.2341, (151) = 2.2492, (152) = 2.2643, (153) = 2.2793, (154) = 2.2949, (155) = 2.3105, (156) = 2.3261, (157) = 2.3417, (158) = 2.3576, (159) = 2.3735, (160) = 2.3895, (161) = 2.4054, (162) = 2.4203, (163) = 2.4353, (164) = 2.4503, (165) = 2.4653, (166) = 2.4839, (167) = 2.5025, (168) = 2.5211, (169) = 2.5397, (170) = 2.5561, (171) = 2.5725, (172) = 2.5888, (173) = 2.6052, (174) = 2.6226, (175) = 2.6399, (176) = 2.6572, (177) = 2.6746, (178) = 2.6930, (179) = 2.7114, (180) = 2.7297, (181) = 2.7481, (182) = 2.7634, (183) = 2.7787, (184) = 2.7940, (185) = 2.8094, (186) = 2.8226, (187) = 2.8358, (188) = 2.8490, (189) = 2.8622, (190) = 2.8755, (191) = 2.8887, (192) = 2.9019, (193) = 2.9151, (194) = 2.9302, (195) = 2.9453, (196) = 2.9604, (197) = 2.9755, (198) = 2.9940, (199) = 3.0126, (200) = 3.0311, (201) = 3.0496, (202) = 3.0659, (203) = 3.0822, (204) = 3.0985, (205) = 3.1149, (206) = 3.1302, (207) = 3.1455, (208) = 3.1609, (209) = 3.1762, (210) = 3.1915, (211) = 3.2069, (212) = 3.2222, (213) = 3.2375, (214) = 3.2545, (215) = 3.2715, (216) = 3.2885, (217) = 3.3055, (218) = 3.3223, (219) = 3.3391, (220) = 3.3560, (221) = 3.3728, (222) = 3.3888, (223) = 3.4047, (224) = 3.4206, (225) = 3.4365, (226) = 3.4494, (227) = 3.4622, (228) = 3.4750, (229) = 3.4879, (230) = 3.5007, (231) = 3.5136, (232) = 3.5264, (233) = 3.5392, (234) = 3.5529, (235) = 3.5667, (236) = 3.5804, (237) = 3.5941, (238) = 3.6116, (239) = 3.6292, (240) = 3.6468, (241) = 3.6644, (242) = 3.6810, (243) = 3.6976, (244) = 3.7143, (245) = 3.7309, (246) = 3.7508, (247) = 3.7707, (248) = 3.7905, (249) = 3.8104, (250) = 3.8273, (251) = 3.8442, (252) = 3.8610, (253) = 3.8779, (254) = 3.8938, (255) = 3.9096, (256) = 3.9255, (257) = 3.9414, (258) = 3.9559, (259) = 3.9705, (260) = 3.9851, (261) = 3.9997, (262) = 4.0149, (263) = 4.0301, (264) = 4.0452, (265) = 4.0604, (266) = 4.0779, (267) = 4.0953, (268) = 4.1128, (269) = 4.1302, (270) = 4.1459, (271) = 4.1615, (272) = 4.1771, (273) = 4.1927, (274) = 4.2114, (275) = 4.2300, (276) = 4.2486, (277) = 4.2673, (278) = 4.2833, (279) = 4.2993, (280) = 4.3153, (281) = 4.3313, (282) = 4.3485, (283) = 4.3657, (284) = 4.3829, (285) = 4.4001, (286) = 4.4182, (287) = 4.4362, (288) = 4.4543, (289) = 4.4724, (290) = 4.4881, (291) = 4.5037, (292) = 4.5194, (293) = 4.5351, (294) = 4.5472, (295) = 4.5593, (296) = 4.5715, (297) = 4.5836, (298) = 4.5957, (299) = 4.6079, (300) = 4.6200, (301) = 4.6321, (302) = 4.6456, (303) = 4.6591, (304) = 4.6726, (305) = 4.6861, (306) = 4.7059, (307) = 4.7256, (308) = 4.7454, (309) = 4.7652, (310) = 4.7819, (311) = 4.7986, (312) = 4.8153, (313) = 4.8320, (314) = 4.8474, (315) = 4.8627, (316) = 4.8781, (317) = 4.8935, (318) = 4.9088, (319) = 4.9242, (320) = 4.9396, (321) = 4.9550, (322) = 4.9662, (323) = 4.9775, (324) = 4.9887, (325) = 5.0000})

_rtable[18446746442112534638]

(2)

``


 

Download mode_shapes.mw


 

a := Vector(325, {(1) = 0, (2) = 0., (3) = 0., (4) = 0.1e-3, (5) = 0.1e-3, (6) = 0.2e-3, (7) = 0.4e-3, (8) = 0.7e-3, (9) = 0.10e-2, (10) = 0.16e-2, (11) = 0.23e-2, (12) = 0.33e-2, (13) = 0.44e-2, (14) = 0.65e-2, (15) = 0.89e-2, (16) = 0.114e-1, (17) = 0.139e-1, (18) = 0.162e-1, (19) = 0.178e-1, (20) = 0.186e-1, (21) = 0.183e-1, (22) = 0.171e-1, (23) = 0.150e-1, (24) = 0.120e-1, (25) = 0.85e-2, (26) = 0.51e-2, (27) = 0.16e-2, (28) = -0.19e-2, (29) = -0.51e-2, (30) = -0.79e-2, (31) = -0.103e-1, (32) = -0.120e-1, (33) = -0.132e-1, (34) = -0.138e-1, (35) = -0.136e-1, (36) = -0.129e-1, (37) = -0.118e-1, (38) = -0.106e-1, (39) = -0.94e-2, (40) = -0.83e-2, (41) = -0.75e-2, (42) = -0.71e-2, (43) = -0.69e-2, (44) = -0.71e-2, (45) = -0.75e-2, (46) = -0.79e-2, (47) = -0.83e-2, (48) = -0.84e-2, (49) = -0.81e-2, (50) = -0.73e-2, (51) = -0.60e-2, (52) = -0.43e-2, (53) = -0.20e-2, (54) = 0.11e-2, (55) = 0.46e-2, (56) = 0.82e-2, (57) = 0.117e-1, (58) = 0.149e-1, (59) = 0.174e-1, (60) = 0.191e-1, (61) = 0.200e-1, (62) = 0.198e-1, (63) = 0.187e-1, (64) = 0.167e-1, (65) = 0.139e-1, (66) = 0.103e-1, (67) = 0.65e-2, (68) = 0.28e-2, (69) = -0.5e-3, (70) = -0.27e-2, (71) = -0.45e-2, (72) = -0.56e-2, (73) = -0.62e-2, (74) = -0.64e-2, (75) = -0.64e-2, (76) = -0.62e-2, (77) = -0.60e-2, (78) = -0.58e-2, (79) = -0.57e-2, (80) = -0.59e-2, (81) = -0.62e-2, (82) = -0.69e-2, (83) = -0.78e-2, (84) = -0.90e-2, (85) = -0.103e-1, (86) = -0.122e-1, (87) = -0.138e-1, (88) = -0.150e-1, (89) = -0.153e-1, (90) = -0.147e-1, (91) = -0.133e-1, (92) = -0.111e-1, (93) = -0.82e-2, (94) = -0.49e-2, (95) = -0.13e-2, (96) = 0.25e-2, (97) = 0.62e-2, (98) = 0.96e-2, (99) = 0.126e-1, (100) = 0.150e-1, (101) = 0.167e-1, (102) = 0.176e-1, (103) = 0.176e-1, (104) = 0.169e-1, (105) = 0.155e-1, (106) = 0.135e-1, (107) = 0.112e-1, (108) = 0.89e-2, (109) = 0.68e-2, (110) = 0.50e-2, (111) = 0.37e-2, (112) = 0.28e-2, (113) = 0.23e-2, (114) = 0.22e-2, (115) = 0.21e-2, (116) = 0.22e-2, (117) = 0.22e-2, (118) = 0.21e-2, (119) = 0.19e-2, (120) = 0.15e-2, (121) = 0.8e-3, (122) = -0., (123) = -0.11e-2, (124) = -0.25e-2, (125) = -0.40e-2, (126) = -0.68e-2, (127) = -0.97e-2, (128) = -0.127e-1, (129) = -0.154e-1, (130) = -0.175e-1, (131) = -0.189e-1, (132) = -0.193e-1, (133) = -0.187e-1, (134) = -0.171e-1, (135) = -0.146e-1, (136) = -0.113e-1, (137) = -0.76e-2, (138) = -0.42e-2, (139) = -0.9e-3, (140) = 0.23e-2, (141) = 0.52e-2, (142) = 0.76e-2, (143) = 0.96e-2, (144) = 0.110e-1, (145) = 0.118e-1, (146) = 0.121e-1, (147) = 0.118e-1, (148) = 0.110e-1, (149) = 0.100e-1, (150) = 0.91e-2, (151) = 0.84e-2, (152) = 0.78e-2, (153) = 0.75e-2, (154) = 0.76e-2, (155) = 0.79e-2, (156) = 0.85e-2, (157) = 0.92e-2, (158) = 0.98e-2, (159) = 0.103e-1, (160) = 0.103e-1, (161) = 0.98e-2, (162) = 0.88e-2, (163) = 0.72e-2, (164) = 0.51e-2, (165) = 0.24e-2, (166) = -0.15e-2, (167) = -0.57e-2, (168) = -0.99e-2, (169) = -0.137e-1, (170) = -0.164e-1, (171) = -0.184e-1, (172) = -0.196e-1, (173) = -0.197e-1, (174) = -0.189e-1, (175) = -0.171e-1, (176) = -0.146e-1, (177) = -0.115e-1, (178) = -0.81e-2, (179) = -0.47e-2, (180) = -0.16e-2, (181) = 0.8e-3, (182) = 0.24e-2, (183) = 0.34e-2, (184) = 0.40e-2, (185) = 0.43e-2, (186) = 0.43e-2, (187) = 0.42e-2, (188) = 0.41e-2, (189) = 0.41e-2, (190) = 0.43e-2, (191) = 0.47e-2, (192) = 0.53e-2, (193) = 0.62e-2, (194) = 0.76e-2, (195) = 0.92e-2, (196) = 0.109e-1, (197) = 0.127e-1, (198) = 0.146e-1, (199) = 0.160e-1, (200) = 0.166e-1, (201) = 0.162e-1, (202) = 0.149e-1, (203) = 0.128e-1, (204) = 0.99e-2, (205) = 0.65e-2, (206) = 0.28e-2, (207) = -0.10e-2, (208) = -0.47e-2, (209) = -0.82e-2, (210) = -0.112e-1, (211) = -0.137e-1, (212) = -0.154e-1, (213) = -0.164e-1, (214) = -0.166e-1, (215) = -0.159e-1, (216) = -0.147e-1, (217) = -0.129e-1, (218) = -0.110e-1, (219) = -0.90e-2, (220) = -0.73e-2, (221) = -0.59e-2, (222) = -0.49e-2, (223) = -0.44e-2, (224) = -0.41e-2, (225) = -0.41e-2, (226) = -0.42e-2, (227) = -0.43e-2, (228) = -0.43e-2, (229) = -0.41e-2, (230) = -0.36e-2, (231) = -0.29e-2, (232) = -0.18e-2, (233) = -0.3e-3, (234) = 0.16e-2, (235) = 0.38e-2, (236) = 0.62e-2, (237) = 0.88e-2, (238) = 0.121e-1, (239) = 0.151e-1, (240) = 0.175e-1, (241) = 0.192e-1, (242) = 0.198e-1, (243) = 0.194e-1, (244) = 0.181e-1, (245) = 0.159e-1, (246) = 0.122e-1, (247) = 0.80e-2, (248) = 0.34e-2, (249) = -0.9e-3, (250) = -0.41e-2, (251) = -0.68e-2, (252) = -0.87e-2, (253) = -0.98e-2, (254) = -0.103e-1, (255) = -0.103e-1, (256) = -0.98e-2, (257) = -0.92e-2, (258) = -0.86e-2, (259) = -0.80e-2, (260) = -0.76e-2, (261) = -0.75e-2, (262) = -0.77e-2, (263) = -0.82e-2, (264) = -0.89e-2, (265) = -0.98e-2, (266) = -0.109e-1, (267) = -0.117e-1, (268) = -0.121e-1, (269) = -0.119e-1, (270) = -0.111e-1, (271) = -0.96e-2, (272) = -0.74e-2, (273) = -0.46e-2, (274) = -0.7e-3, (275) = 0.36e-2, (276) = 0.80e-2, (277) = 0.121e-1, (278) = 0.150e-1, (279) = 0.173e-1, (280) = 0.188e-1, (281) = 0.193e-1, (282) = 0.189e-1, (283) = 0.176e-1, (284) = 0.155e-1, (285) = 0.128e-1, (286) = 0.98e-2, (287) = 0.67e-2, (288) = 0.38e-2, (289) = 0.15e-2, (290) = -0.1e-3, (291) = -0.12e-2, (292) = -0.18e-2, (293) = -0.21e-2, (294) = -0.22e-2, (295) = -0.22e-2, (296) = -0.21e-2, (297) = -0.22e-2, (298) = -0.24e-2, (299) = -0.27e-2, (300) = -0.33e-2, (301) = -0.42e-2, (302) = -0.54e-2, (303) = -0.68e-2, (304) = -0.85e-2, (305) = -0.103e-1, (306) = -0.130e-1, (307) = -0.154e-1, (308) = -0.170e-1, (309) = -0.177e-1, (310) = -0.173e-1, (311) = -0.160e-1, (312) = -0.138e-1, (313) = -0.108e-1, (314) = -0.75e-2, (315) = -0.38e-2, (316) = -0., (317) = 0.37e-2, (318) = 0.71e-2, (319) = 0.101e-1, (320) = 0.124e-1, (321) = 0.141e-1, (322) = 0.149e-1, (323) = 0.152e-1, (324) = 0.152e-1, (325) = 0.149e-1})

_rtable[18446746442173411926]

(1)

``

t := Vector(325, {(1) = 0, (2) = 0.67e-2, (3) = 0.134e-1, (4) = 0.202e-1, (5) = 0.269e-1, (6) = 0.336e-1, (7) = 0.403e-1, (8) = 0.471e-1, (9) = 0.538e-1, (10) = 0.637e-1, (11) = 0.736e-1, (12) = 0.836e-1, (13) = 0.935e-1, (14) = .1098, (15) = .1261, (16) = .1424, (17) = .1586, (18) = .1764, (19) = .1943, (20) = .2121, (21) = .2299, (22) = .2465, (23) = .2632, (24) = .2798, (25) = .2965, (26) = .3109, (27) = .3253, (28) = .3397, (29) = .3542, (30) = .3686, (31) = .3830, (32) = .3974, (33) = .4118, (34) = .4284, (35) = .4450, (36) = .4615, (37) = .4781, (38) = .4938, (39) = .5095, (40) = .5253, (41) = .5410, (42) = .5567, (43) = .5724, (44) = .5882, (45) = .6039, (46) = .6204, (47) = .6368, (48) = .6533, (49) = .6697, (50) = .6843, (51) = .6989, (52) = .7135, (53) = .7281, (54) = .7448, (55) = .7615, (56) = .7781, (57) = .7948, (58) = .8113, (59) = .8278, (60) = .8442, (61) = .8607, (62) = .8775, (63) = .8943, (64) = .9112, (65) = .9280, (66) = .9468, (67) = .9655, (68) = .9843, (69) = 1.0031, (70) = 1.0190, (71) = 1.0348, (72) = 1.0507, (73) = 1.0665, (74) = 1.0794, (75) = 1.0924, (76) = 1.1053, (77) = 1.1183, (78) = 1.1312, (79) = 1.1442, (80) = 1.1571, (81) = 1.1700, (82) = 1.1842, (83) = 1.1984, (84) = 1.2126, (85) = 1.2268, (86) = 1.2459, (87) = 1.2651, (88) = 1.2842, (89) = 1.3034, (90) = 1.3198, (91) = 1.3362, (92) = 1.3527, (93) = 1.3691, (94) = 1.3844, (95) = 1.3996, (96) = 1.4149, (97) = 1.4302, (98) = 1.4454, (99) = 1.4607, (100) = 1.4760, (101) = 1.4913, (102) = 1.5075, (103) = 1.5238, (104) = 1.5400, (105) = 1.5563, (106) = 1.5733, (107) = 1.5904, (108) = 1.6075, (109) = 1.6246, (110) = 1.6410, (111) = 1.6574, (112) = 1.6739, (113) = 1.6903, (114) = 1.7021, (115) = 1.7140, (116) = 1.7258, (117) = 1.7377, (118) = 1.7495, (119) = 1.7614, (120) = 1.7732, (121) = 1.7851, (122) = 1.7964, (123) = 1.8076, (124) = 1.8189, (125) = 1.8302, (126) = 1.8475, (127) = 1.8649, (128) = 1.8822, (129) = 1.8995, (130) = 1.9168, (131) = 1.9341, (132) = 1.9514, (133) = 1.9687, (134) = 1.9856, (135) = 2.0026, (136) = 2.0195, (137) = 2.0365, (138) = 2.0507, (139) = 2.0649, (140) = 2.0791, (141) = 2.0933, (142) = 2.1075, (143) = 2.1217, (144) = 2.1359, (145) = 2.1501, (146) = 2.1674, (147) = 2.1846, (148) = 2.2018, (149) = 2.2191, (150) = 2.2341, (151) = 2.2492, (152) = 2.2643, (153) = 2.2793, (154) = 2.2949, (155) = 2.3105, (156) = 2.3261, (157) = 2.3417, (158) = 2.3576, (159) = 2.3735, (160) = 2.3895, (161) = 2.4054, (162) = 2.4203, (163) = 2.4353, (164) = 2.4503, (165) = 2.4653, (166) = 2.4839, (167) = 2.5025, (168) = 2.5211, (169) = 2.5397, (170) = 2.5561, (171) = 2.5725, (172) = 2.5888, (173) = 2.6052, (174) = 2.6226, (175) = 2.6399, (176) = 2.6572, (177) = 2.6746, (178) = 2.6930, (179) = 2.7114, (180) = 2.7297, (181) = 2.7481, (182) = 2.7634, (183) = 2.7787, (184) = 2.7940, (185) = 2.8094, (186) = 2.8226, (187) = 2.8358, (188) = 2.8490, (189) = 2.8622, (190) = 2.8755, (191) = 2.8887, (192) = 2.9019, (193) = 2.9151, (194) = 2.9302, (195) = 2.9453, (196) = 2.9604, (197) = 2.9755, (198) = 2.9940, (199) = 3.0126, (200) = 3.0311, (201) = 3.0496, (202) = 3.0659, (203) = 3.0822, (204) = 3.0985, (205) = 3.1149, (206) = 3.1302, (207) = 3.1455, (208) = 3.1609, (209) = 3.1762, (210) = 3.1915, (211) = 3.2069, (212) = 3.2222, (213) = 3.2375, (214) = 3.2545, (215) = 3.2715, (216) = 3.2885, (217) = 3.3055, (218) = 3.3223, (219) = 3.3391, (220) = 3.3560, (221) = 3.3728, (222) = 3.3888, (223) = 3.4047, (224) = 3.4206, (225) = 3.4365, (226) = 3.4494, (227) = 3.4622, (228) = 3.4750, (229) = 3.4879, (230) = 3.5007, (231) = 3.5136, (232) = 3.5264, (233) = 3.5392, (234) = 3.5529, (235) = 3.5667, (236) = 3.5804, (237) = 3.5941, (238) = 3.6116, (239) = 3.6292, (240) = 3.6468, (241) = 3.6644, (242) = 3.6810, (243) = 3.6976, (244) = 3.7143, (245) = 3.7309, (246) = 3.7508, (247) = 3.7707, (248) = 3.7905, (249) = 3.8104, (250) = 3.8273, (251) = 3.8442, (252) = 3.8610, (253) = 3.8779, (254) = 3.8938, (255) = 3.9096, (256) = 3.9255, (257) = 3.9414, (258) = 3.9559, (259) = 3.9705, (260) = 3.9851, (261) = 3.9997, (262) = 4.0149, (263) = 4.0301, (264) = 4.0452, (265) = 4.0604, (266) = 4.0779, (267) = 4.0953, (268) = 4.1128, (269) = 4.1302, (270) = 4.1459, (271) = 4.1615, (272) = 4.1771, (273) = 4.1927, (274) = 4.2114, (275) = 4.2300, (276) = 4.2486, (277) = 4.2673, (278) = 4.2833, (279) = 4.2993, (280) = 4.3153, (281) = 4.3313, (282) = 4.3485, (283) = 4.3657, (284) = 4.3829, (285) = 4.4001, (286) = 4.4182, (287) = 4.4362, (288) = 4.4543, (289) = 4.4724, (290) = 4.4881, (291) = 4.5037, (292) = 4.5194, (293) = 4.5351, (294) = 4.5472, (295) = 4.5593, (296) = 4.5715, (297) = 4.5836, (298) = 4.5957, (299) = 4.6079, (300) = 4.6200, (301) = 4.6321, (302) = 4.6456, (303) = 4.6591, (304) = 4.6726, (305) = 4.6861, (306) = 4.7059, (307) = 4.7256, (308) = 4.7454, (309) = 4.7652, (310) = 4.7819, (311) = 4.7986, (312) = 4.8153, (313) = 4.8320, (314) = 4.8474, (315) = 4.8627, (316) = 4.8781, (317) = 4.8935, (318) = 4.9088, (319) = 4.9242, (320) = 4.9396, (321) = 4.9550, (322) = 4.9662, (323) = 4.9775, (324) = 4.9887, (325) = 5.0000})

_rtable[18446746442112534638]

(2)

``


 

Download mode_shapes.mw

Hi

I would like to know if recent Maples's verion (> 2015) contain methods for solving functional equations ?
Functional_equation

TIA

I'm trying to graph the solution to:

[7.72-7.72*B]*[-7.717267500*a] = 662204.4444*B^2

with a as the independent variable (X-Axis) and B as the dependant variable (Y-Axis). I've been using the command:

 

implicitplot([7.72-7.72*B]*[-7.717267500*a] = 662204.4444*B^2, a = 10 .. 15000, B = 0.1e-1 .. 1)

 

I dont get any errors, but the graph is ust a blank graph that is -10..10 for both axis (at least they are labelled correctly)

Any help as to how to solve this woud be greatly apprecated (either fixing syntax or recommending another command).

Note: These ranges are correct....a will be something between 0 and 20,000 and B will be between 0 and 1

 

Thank you! - Bob

How these system of relations can be defined and plotted?(with any possible assumptions)

 

restart

x[n+1]=1/3*(2*x[n]*y[n]+4*x[n]*z[n])+1/12*(2*x[n-1]*y[n-1]+4*x[n-1]*z[n-1])

x[n+1] = (2/3)*x[n]*y[n]+(4/3)*x[n]*z[n]+(1/6)*x[n-1]*y[n-1]+(1/3)*x[n-1]*z[n-1]

(1)

y[n+1]=1/3*(1/4*x[n]*z[n]+y[n])+1/12*(1/4*x[n-1]*z[n-1]+y[n-1])

y[n+1] = (1/12)*x[n]*z[n]+(1/3)*y[n]+(1/48)*x[n-1]*z[n-1]+(1/12)*y[n-1]

(2)

z[n+1]=1/3*(x[n]*z[n]+2*y[n]*z[n])+1/12*(x[n-1]*z[n-1]+2*y[n-1]*z[n-1])

z[n+1] = (1/3)*x[n]*z[n]+(2/3)*y[n]*z[n]+(1/12)*x[n-1]*z[n-1]+(1/6)*y[n-1]*z[n-1]

(3)

 


 

Download problem.mw

Determine the polynomials P∈R₃ [X] such that P (-1) = - 18 and whose remainders in the Euclidean division by X-1, X-2 and X-3 are equal to 6.

Error, (in pdsolve/numeric/process_PDEs) number of dependent variables and number of PDE must be the same

restart;
PDE := diff(u(x, t), t) - Laplacian(u(x, t), [x]) - u(x, t) + x - 2*sin(2*x)*cos(x) = 0;

IBC := D[1](u)(Pi/2, t) = 1, u(0, t) = 0, u(x, 0) = x;

pds := pdsolve(eval(PDE), {IBC}, type = numeric);
Error, (in pdsolve/numeric/process_PDEs) number of dependent variables and number of PDE must be the same
 

Where can I find a description of the []() syntax?

I have the polynomial :P=X⁴+X³+aX²+√2X+b

Determine a and b so that (1 + i) is zero of P; then calculate all the zeros of P

I have an equation E:=2*x^(7) -x^(6) -4*x^(5) -15*x^(4) -14 x^(3)+19*x^(2) +28*x+30

I want to the list of solutions which are real numbers (resp. which have a strictly positive imaginary part); can anyone help me !

Hello! 
I have this theta model:

And a problem, that sounds like: 
Use Maple's dsolve command with type = numeric, and odeplot
to solve the Theta model for different values of A with the initial condition: 
My question is, how do you use the commands "type = numeric", and "odeplot" to dsolve the model? 
Hope you understand my question, and maybe send a picture of the method to solve this math problem

 

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