Maple 2019 Questions and Posts

These are Posts and Questions associated with the product, Maple 2019

Hi,

How I can solve biharmonic equations in toroidal coordinate?

If this possible I can provide a worksheet and send it.

If I have a tensor T[mu,nu,alpha] in 3-dimensions which is symmetric on {mu,nu} and anti-symmetric on {nu,alpha}, then the number of independent components should be zero. However, if I put this into Maple, using Library:-MinimizeTensorComponents followed by Library:-NumberOfIndependentTensorComponents it returns 4.

Any insight into why it does this would be great, thanks.

What is the best way to get some one on one training in maple , has anyone done this?

Since I've updated maple to version 2019 it's has become very slow. Erverytime I enter something it seems to reload all the side buttons just like when a new worksheet is started. This is very annoying because during this loading time you cannot enter anything. Has anyone any suggestions? btw I've bought my pc in march 2020 and it has enough CPU and GPU.

 

 

Hi!
I am trying to solve ODE with bvp[midrich], and I need to prove the validity of this method. 
Where can i read about realization of bvp[midrich]. What scheme does it use? Аre there any articles on this subject?
 

 

https://www.mapleprimes.com/questions/219048-Help-File-Edit-After-Storing-In-A-Database

I found a previous post which contained a worksheet script for creating help, but this example is likely out-of-date. Can anyone provide a similar example for post-2018 help files to save me considerable trial and error.

Hi,

I'm trying to change with a Maple Worksheet the parameters of a MapleSim Model in Real-matrices format.

is there any way to do that?

actually i get the failure note:

<<Error, (in SetParameters) non-vectorized values in vector parameters: [list= ""]>>



 

Thank You

Regards
Johann
 

choosing lightmodel=none and shading=none, produces a dark grey grided surface
plot3d(x*y, x = 0 .. 10, y = 0 .. 10, lightmodel = none, shading = none)

adding the style=wireframe option gives a blank plot.  Grid probably white?  Changing style to patchnogrid the surface is indeed white. However chosing both shading and style options to none regardless of the lightmodel will produce a plot that appears empty.  Is this to be expected?

However, just the style=wireframe option produces a colored grided wireframe as to expect
plot3d(x*y, x = 0 .. 10, y = 0 .. 10, lightmodel = none, style = wireframe)

Hi.

I'm working on an electronics project currently. In that project I have been trying to solve a system of inequalities, as shown by the picture from Maple below:

restart;

R__1 := 1;
lign1 := V__i/(R__4*(1/R__1 + 1/R__2 + 1/R__3 + 1/R__4)) = C*(k__1 - R/R__C + R);
lign2 := V__i*(1/R__1 + 1/R__4)/(1/R__1 + 1/R__2 + 1/R__3 + 1/R__4) = C*(k__2 - R/R__C + R);
lign3 := V__i*(1/R__2 + 1/R__4)/(1/R__1 + 1/R__2 + 1/R__3 + 1/R__4) = C*(k__3 - R/R__C + R);
lign4 := V__i*(1/R__3 + 1/R__4)/(1/R__1 + 1/R__2 + 1/R__3 + 1/R__4) = C*(k__4 - R/R__C + R);
lign5 := V__i*(1/R__1 + 1/R__2 + 1/R__4)/(1/R__1 + 1/R__2 + 1/R__3 + 1/R__4) = C*(k__5 - R/R__C + R);
lign6 := V__i*(1/R__1 + 1/R__3 + 1/R__4)/(1/R__1 + 1/R__2 + 1/R__3 + 1/R__4) = C*(k__6 - R/R__C + R);
lign7 := V__i*(1/R__2 + 1/R__3 + 1/R__4)/(1/R__1 + 1/R__2 + 1/R__3 + 1/R__4) = C*(k__7 - R/R__C + R);
solve({lign1, lign2, lign3, lign4, lign5, lign6, lign7}, [R__4, R__2, R__3, R__C, R, C, V__i]);

Here's a picture as well:

However, the solution is simply that V_i = 0 and C=0, which is not really helping me. Am I doing something wrong here or is my system of equalities simply unsolvabe?

 

How to learn Maple Programming effectively, whether Python will help?

My objective is to write a procedure that will read data from xml at different mentioned condition, read ICBO value at different condition of VGS i.e ICBO value at VGS=5V

BJT_ICBO := proc(parsedXML, VGS at condition )
 

 

end proc;

can some one help me to write procedure 

Hi, can someone explain me why CodeGeneration in C throws the error : Error, (in Print) improper op or subscript selector ? Interestingly, CodeGeneration in Python or Matlab works. Source code is attached. Thanks in advance!

membrane_energy.mw
 

 

Membrane Energy

 

restart; with(VectorCalculus); with(LinearAlgebra); with(CodeGeneration)

Define variables

 

Vectors for vertices of current position

v1 := Vector(3, symbol = v1_i) = Vector[column]([[v1_i[1]], [v1_i[2]], [v1_i[3]]], ["x", "y", "z"]) 

v2 := Vector(3, symbol = v2_i) = Vector[column]([[v2_i[1]], [v2_i[2]], [v2_i[3]]], ["x", "y", "z"])NULL

v3 := Vector(3, symbol = v3_i) = Vector[column]([[v3_i[1]], [v3_i[2]], [v3_i[3]]], ["x", "y", "z"])NULL

n := `&x`(v2-v1, v3-v1)

v4 := v1+n/norm(n, 2)^.5

Vector for vertices of next position

v1n := Vector(3, symbol = v1n_i) = Vector[column]([[v1n_i[1]], [v1n_i[2]], [v1n_i[3]]], ["x", "y", "z"])NULL

v2n := Vector(3, symbol = v2n_i) = Vector[column]([[v2n_i[1]], [v2n_i[2]], [v2n_i[3]]], ["x", "y", "z"])NULL

v3n := Vector(3, symbol = v3n_i) = Vector[column]([[v3n_i[1]], [v3n_i[2]], [v3n_i[3]]], ["x", "y", "z"])NULL

nn := `&x`(v2n-v1n, v3n-v1n)

v4n := v1n+nn/norm(nn, 2)^.5``

``

 

Define Transformation

 

V := LinearAlgebra:-Transpose(Matrix([v2-v1, v3-v1, v4-v1]))

Dimension(V) = 3, 3 

Vn := LinearAlgebra:-Transpose(Matrix([v2n-v1n, v3n-v1n, v4n-v1n]))

Dimension(Vn) = 3, 3NULL

Note we have Vn = T*V and if the current triangle is not degenerate, then T = Vn/V. As we can pre-compute 1/V we define a new matrix for it:

Vinv := Matrix(3, 3, symbol = Vinv_ij) =

Matrix(%id = 18446746713267339006)

(1.2.1)

T := MatrixMatrixMultiply(Vn, Vinv)

Dimension(T) = 3, 3``

``

``

Define Energy

 

E := Trace(MatrixMatrixMultiply(T, LinearAlgebra:-Transpose(T)))``

``

``

Gradient and Hessian

 

gradE := Gradient(E, [v1n[1], v1n[2], v1n[3], v2n[1], v2n[2], v2n[3], v3n[1], v3n[2], v3n[3]])

Dimension(gradE) = 9NULL

CodeGeneration[C](gradE, defaulttype = numeric, optimize = tryhard, functionprecision = double, precision = double, deducetypes = false, resultname = 'gradE')t1 = v2n_i[0] - v1n_i[0];
t2 = v2n_i[1] - v1n_i[1];
t3 = v2n_i[2] - v1n_i[2];
t4 = t1 * Vinv_ij[0][0] + t2 * Vinv_ij[1][0] + t3 * Vinv_ij[2][0];
t5 = t1 * Vinv_ij[0][1] + t2 * Vinv_ij[1][1] + t3 * Vinv_ij[2][1];
t6 = t1 * Vinv_ij[0][2] + t2 * Vinv_ij[1][2] + t3 * Vinv_ij[2][2];
t7 = v3n_i[0] - v1n_i[0];
t8 = v3n_i[1] - v1n_i[1];
t9 = v3n_i[2] - v1n_i[2];
t10 = t7 * Vinv_ij[0][0] + t8 * Vinv_ij[1][0] + t9 * Vinv_ij[2][0];
t11 = t7 * Vinv_ij[0][1] + t8 * Vinv_ij[1][1] + t9 * Vinv_ij[2][1];
t12 = t7 * Vinv_ij[0][2] + t8 * Vinv_ij[1][2] + t9 * Vinv_ij[2][2];
t13 = t2 * t9 - t3 * t8;
t14 = fabs(t13);
t15 = t1 * t9 - t3 * t7;
t16 = fabs(t15);
t17 = t1 * t8 - t2 * t7;
t18 = fabs(t17);
t19 = pow(t14, 0.2e1) + pow(t16, 0.2e1) + pow(t18, 0.2e1);
t20 = pow(t19, -0.5e1 / 0.4e1);
t19 = t19 * t20;
t21 = Vinv_ij[0][0] * t13;
t22 = Vinv_ij[1][0] * t15;
t23 = Vinv_ij[2][0] * t17;
t24 = (t23 + t21 - t22) * t19;
t25 = -v2n_i[2] + v3n_i[2];
t26 = fabs(t15) / t15;
t27 = -v2n_i[1] + v3n_i[1];
t28 = fabs(t17) / t17;
t21 = t23 + t21 - t22;
t22 = (t16 * t25 * t26 + t18 * t27 * t28) * t20;
t23 = 0.1e1 / 0.2e1;
t29 = Vinv_ij[0][1] * t13;
t30 = Vinv_ij[1][1] * t15;
t31 = Vinv_ij[2][1] * t17;
t32 = (t31 + t29 - t30) * t19;
t29 = t31 + t29 - t30;
t30 = Vinv_ij[0][2] * t13;
t15 = Vinv_ij[1][2] * t15;
t17 = Vinv_ij[2][2] * t17;
t31 = (t17 + t30 - t15) * t19;
t15 = t17 + t30 - t15;
t17 = t6 + t12;
t30 = t5 + t11;
t33 = t4 + t10;
t13 = fabs(t13) / t13;
t34 = -v2n_i[0] + v3n_i[0];
t35 = (t14 * t25 * t13 - t18 * t34 * t28) * t20;
t35 = t17 * Vinv_ij[1][2] - t24 * (t23 * t35 * t21 - t19 * (t25 * Vinv_ij[0][0] - t34 * Vinv_ij[2][0])) + t30 * Vinv_ij[1][1] - t31 * (t23 * t35 * t15 - t19 * (t25 * Vinv_ij[0][2] - t34 * Vinv_ij[2][2])) - t32 * (t23 * t35 * t29 - t19 * (t25 * Vinv_ij[0][1] - t34 * Vinv_ij[2][1])) + t33 * Vinv_ij[1][0];
t36 = (t14 * t27 * t13 + t16 * t34 * t26) * t20;
t34 = Vinv_ij[2][2] * t17 - t24 * (-t23 * t36 * t21 + t19 * (t27 * Vinv_ij[0][0] - t34 * Vinv_ij[1][0])) + t30 * Vinv_ij[2][1] - t31 * (-t23 * t36 * t15 + t19 * (t27 * Vinv_ij[0][2] - t34 * Vinv_ij[1][2])) - t32 * (-t23 * t36 * t29 + t19 * (t27 * Vinv_ij[0][1] - t34 * Vinv_ij[1][1])) + t33 * Vinv_ij[2][0];
t36 = (t16 * t9 * t26 + t18 * t8 * t28) * t20;
t36 = t24 * (-t23 * t36 * t21 - t19 * (-t8 * Vinv_ij[2][0] + t9 * Vinv_ij[1][0])) + t31 * (-t23 * t36 * t15 - t19 * (-t8 * Vinv_ij[2][2] + t9 * Vinv_ij[1][2])) + t32 * (-t23 * t36 * t29 - t19 * (-t8 * Vinv_ij[2][1] + t9 * Vinv_ij[1][1])) + t4 * Vinv_ij[0][0] + t5 * Vinv_ij[0][1] + t6 * Vinv_ij[0][2];
t37 = (t14 * t9 * t13 - t18 * t7 * t28) * t20;
t9 = t24 * (-t23 * t37 * t21 + t19 * (-t7 * Vinv_ij[2][0] + t9 * Vinv_ij[0][0])) + t31 * (-t15 * t23 * t37 + t19 * (-t7 * Vinv_ij[2][2] + t9 * Vinv_ij[0][2])) + t32 * (-t23 * t29 * t37 + t19 * (-t7 * Vinv_ij[2][1] + t9 * Vinv_ij[0][1])) + t4 * Vinv_ij[1][0] + t5 * Vinv_ij[1][1] + t6 * Vinv_ij[1][2];
t37 = (t14 * t8 * t13 + t16 * t7 * t26) * t20;
t4 = t24 * (t23 * t37 * t21 - t19 * (-t7 * Vinv_ij[1][0] + t8 * Vinv_ij[0][0])) + t31 * (t15 * t23 * t37 - t19 * (-t7 * Vinv_ij[1][2] + t8 * Vinv_ij[0][2])) + t32 * (t23 * t29 * t37 - t19 * (-t7 * Vinv_ij[1][1] + t8 * Vinv_ij[0][1])) + t4 * Vinv_ij[2][0] + t5 * Vinv_ij[2][1] + t6 * Vinv_ij[2][2];
t5 = (t16 * t3 * t26 + t18 * t2 * t28) * t20;
t5 = t10 * Vinv_ij[0][0] + t11 * Vinv_ij[0][1] + t12 * Vinv_ij[0][2] + t24 * (t21 * t23 * t5 + t19 * (-t2 * Vinv_ij[2][0] + t3 * Vinv_ij[1][0])) + t31 * (t15 * t23 * t5 + t19 * (-t2 * Vinv_ij[2][2] + t3 * Vinv_ij[1][2])) + t32 * (t23 * t29 * t5 + t19 * (-t2 * Vinv_ij[2][1] + t3 * Vinv_ij[1][1]));
t6 = (-t18 * t1 * t28 + t14 * t3 * t13) * t20;
t3 = t10 * Vinv_ij[1][0] + t11 * Vinv_ij[1][1] + t12 * Vinv_ij[1][2] + t24 * (t21 * t23 * t6 - t19 * (-t1 * Vinv_ij[2][0] + t3 * Vinv_ij[0][0])) + t31 * (t15 * t23 * t6 - t19 * (-t1 * Vinv_ij[2][2] + t3 * Vinv_ij[0][2])) + t32 * (t23 * t29 * t6 - t19 * (-t1 * Vinv_ij[2][1] + t3 * Vinv_ij[0][1]));
t6 = (t16 * t1 * t26 + t14 * t2 * t13) * t20;
t1 = t10 * Vinv_ij[2][0] + t11 * Vinv_ij[2][1] + t12 * Vinv_ij[2][2] + t24 * (-t21 * t23 * t6 + t19 * (-t1 * Vinv_ij[1][0] + t2 * Vinv_ij[0][0])) + t31 * (-t15 * t23 * t6 + t19 * (-t1 * Vinv_ij[1][2] + t2 * Vinv_ij[0][2])) + t32 * (-t23 * t29 * t6 + t19 * (-t1 * Vinv_ij[1][1] + t2 * Vinv_ij[0][1]));
t2 = 0.2e1;
gradE[0] = -t2 * (-t24 * (t23 * t22 * t21 + t19 * (t25 * Vinv_ij[1][0] - t27 * Vinv_ij[2][0])) + t33 * Vinv_ij[0][0] + t30 * Vinv_ij[0][1] + t17 * Vinv_ij[0][2] - t32 * (t23 * t22 * t29 + t19 * (t25 * Vinv_ij[1][1] - t27 * Vinv_ij[2][1])) - t31 * (t23 * t22 * t15 + t19 * (t25 * Vinv_ij[1][2] - t27 * Vinv_ij[2][2])));
gradE[1] = -t2 * t35;
gradE[2] = -t2 * t34;
gradE[3] = t2 * t36;
gradE[4] = t2 * t9;
gradE[5] = t2 * t4;
gradE[6] = t2 * t5;
gradE[7] = t2 * t3;
gradE[8] = t2 * t1;

``

``

``

``

``

Hessian

 

``

hessE := Hessian(E, [v1n[1], v1n[2], v1n[3], v2n[1], v2n[2], v2n[3], v3n[1], v3n[2], v3n[3]])

Dimension(hessE)

9, 9

(1.5.1)

 

CodeGeneration[C](hessE, optimize = tryhard, deducetypes = false, resultname = 'hessE')

Error, (in Print) improper op or subscript selector

 

``

````

``

``

``

``


 

Download membrane_energy.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

I'm using variable names that have subscripts, not as a table index but literal i.e. R__1 as a unique variable name.  It seems whenever I make assumptions on variables that have subscripts, when I use them the variables that have subscripts are printed twice:

 

Can anyone explain why this happens and how to get around it?

 

Thanks in advance.

Is it italic when copied and pasted?  Is it bold when copied from maple 8?  I just ahve not been able to work it out.

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