Maple 2022 Questions and Posts

These are Posts and Questions associated with the product, Maple 2022

In the last two months I've have been asked to download an update to 2022.1 around 7 times.

Each oupdates takes 5-10 minutes and I have to sit idle.

1. Is this the typical pace of updates?

2.Is there a veriosn 2023 I need to get? if yes, how?

Thanks!

yeah sorry it didnt want 2 send so i spamed the botten i didnt meen 2 send more than 1 

it could be amazing if u could help 

ty for the quick respons 

alle-maple_3.mw

i want  your solution  procedure in Maple and get the best fit for the coefficients, r anda k.  i want
plot the data and the y curve together on the same graph to visualize the fitting. For the
data  use blue circles while for the y curve, use red solid line style. Use the leastsquare. thank you verymuch

estimasi_par_logistik.mw

perturb_mag_current_density_2.mw

I am trying to calculate the electric field E induced in a vibrating cantilever of conductive material, oscillating in the field of a permanent magnet.  However, I am having some difficulty getting pdsolve to work the way I want it to.  I'm also not sure if the partial differential eqations I derived from Maxwell's equations are correct, or if the boundary conditions for the electric field in the cantilever are correct.  Currently pdsolve gives me no solutions, which makes me think that either my PDEs or my BCs are not correct.  It may be that I need to try some sort of numerical method as well.  I am assuming that the z component of the electric field is just 0.  My third PDE comes from setting the divergence of the electric field to 0.  My first two PDEs come from the vector laplacian and its relation to the divergence and curl:

Laplacian * E = Div(E) -Curl(Curl(E))

The x and y components of this should be my first and second PDE, respectively.  Note that in this equation the divergence of E is 0, and the curl of E is -dB/dt, where B is the magnetic field.

My boundary conditions are simply that the components of the electric field at the surface of the cantilever is always tangent to the surface.

I have tried various simplifications, such as setting the right hand side of the PDEs to 0, and still I don't get any solution.

My question:  Are my PDEs and BCs sensible?  And if so, what do I need to do with pdsolve to get a proper solution?

Hi everyone,

I am trying to find the roots of a system of 3 multivariate polynomials with 3 variables. I have used

G := Basis(P, tdeg(x6, x7, x8))

from the Groebner package and got a Groebner Basis with 29 elements (the length of output exceeds the limit). I want to find roots in the interval [0,1] with x<y<z. Is there a way to find solutions? Some of the polynomials in the Basis are of order 11 and I can't find a single variable polynomial in the basis. Is there an efficiet way to find such roots? Or should I do someting completely different?

Best

fabs

I simplified my setup as much as possible. Please check lambdas.mw.

While I think I managed to obtain some analytical solutions, they look a bit strange for two reasons:

1) They do not depend on the exogenous parameters as I expected. In fact, mu_jk and mu_ki should only depend on q_0jk and q_0ki, while lambda_jk and lambda_ki should only depend on BigSigma_0jk, BigSigma_0ki, smallsigma_ujk and smallsigma_uki.

2) Strong dependence on q_0jk and q_0ki: if I were to setup these two parameters to zero or to the same value I can't obtain solutions anymore (especially for the lambdas). Does it mean that they are not really "free" parameters?

I noticed that if I combine the two equations from the FOCs of mu_jk and mu_ki into one system (is this even legit?), I get q_0jk = - q_0ki * (lambda_jk / lambda_ki). This is also easy to see if I apply the calibration at the beginning of the script (remove hashtags on all the params with the exception of q_0jk and q_0ki) and then divide lambda_jk by lambda_ki. Why?

I am quite sure that the computations are correct (I checked multiple times), but I am now questioning my setup. In which ways does my setup differ from the one below?

Essentially, I am trying to extend the following problem. As you see below, mu depends only on p_0 (the one-dimensional equivalent of my q_0jk and q_0ki) and lambda depends only on BigSigma_0 and smallsigma_u (the one-dimensional equivalents of my BigSigma_0jk, BigSigma_0ki, smallsigma_ujk and smallsigma_uki).

Thank you.

Hello!

I have changed the the global character size from 12 to 14 but it is not stable. Suddenly size 12 is coming up when a try to copy a row to a another row in the same worksheet.

It is very annoying!!

Any tips????

Regards

Kjell

restart

with(plottools)

with(plots)

with(CurveFitting)

Digits := 10

with(GaussInt)

w := GInearest(0+I)

I

(1)

NULL

"f(t):=7.0*(e)^((-(t-13180)^(2))/(2000000))+4.7*(e)^((-(t-16000)^(2))/(3200000)):"

p1 := plot(f(t), t = 0 .. 20000, color = green); plots[display]({p1})

 

NULL

D1 := 15

epsilon := 200000

L := 6500

v := .7

.7

(2)

t := 10000

10000

(3)

i = sqrt(-1)

i = I

(4)

"k(n) := evalf((2 *Pi*n)/(L))"

proc (n) options operator, arrow, function_assign; evalf(2*Pi*n/L) end proc

(5)

f(n) = (int(f(t)*exp(-w*k(n)*x), x = 0 .. L))/L

NULL

"C(x, t) :=  (&sum;) exp(-v* t*k(n)- D1 *t*(k(n)^())^(2)- epsilon *t*(k(n))^(4)) *f(n)* exp(w*k(n)* x)"

proc (x, t) options operator, arrow, function_assign; sum(exp(-v*t*k(n)-D1*t*k(n)^2-varepsilon*t*k(n)^4)*f(n)*exp(w*k(n)*x), n = 1 .. 10) end proc

(6)

uu10000 := [seq(evalf(C(L-j, t)), j = 0 .. 6500, 100)]

[0.8582270020e-37+0.7071768085e-46*I, 0.8542115620e-37-0.8289193755e-38*I, 0.8422030662e-37-0.1650065052e-37*I, 0.8223146210e-37-0.2455737186e-37*I, 0.7947335229e-37-0.3238382907e-37*I, 0.7597194496e-37-0.3990668010e-37*I, 0.7176019535e-37-0.4705546418e-37*I, 0.6687772885e-37-0.5376326775e-37*I, 0.6137045955e-37-0.5996735584e-37*I, 0.5529014934e-37-0.6560976155e-37*I, 0.4869391210e-37-0.7063782859e-37*I, 0.4164366719e-37-0.7500470239e-37*I, 0.3420554942e-37-0.7866976371e-37*I, 0.2644927960e-37-0.8159900244e-37*I, 0.1844750367e-37-0.8376532722e-37*I, 0.1027510610e-37-0.8514880864e-37*I, 0.2008503850e-38-0.8573685436e-37*I, -0.6275071112e-38-0.8552431450e-37*I, -0.1449829443e-37-0.8451351706e-37*I, -0.2258447115e-37-0.8271423331e-37*I, -0.3045824843e-37-0.8014357420e-37*I, -0.3804631338e-37-0.7682581907e-37*I, -0.4527807059e-37-0.7279217843e-37*I, -0.5208629116e-37-0.6808049422e-37*I, -0.5840773014e-37-0.6273487939e-37*I, -0.6418370476e-37-0.5680530177e-37*I, -0.6936062957e-37-0.5034711554e-37*I, -0.7389050434e-37-0.4342054446e-37*I, -0.7773134955e-37-0.3609012248e-37*I, -0.8084758661e-37-0.2842409660e-37*I, -0.8321035975e-37-0.2049379645e-37*I, -0.8479779638e-37-0.1237297776e-37*I, -0.8559520434e-37-0.4137144557e-38*I, -0.8559520435e-37+0.4137144402e-38*I, -0.8479779639e-37+0.1237297769e-37*I, -0.8321035979e-37+0.2049379630e-37*I, -0.8084758664e-37+0.2842409653e-37*I, -0.7773134957e-37+0.3609012242e-37*I, -0.7389050442e-37+0.4342054433e-37*I, -0.6936062961e-37+0.5034711548e-37*I, -0.6418370481e-37+0.5680530171e-37*I, -0.5840773026e-37+0.6273487928e-37*I, -0.5208629121e-37+0.6808049418e-37*I, -0.4527807065e-37+0.7279217840e-37*I, -0.3804631352e-37+0.7682581900e-37*I, -0.3045824850e-37+0.8014357418e-37*I, -0.2258447130e-37+0.8271423327e-37*I, -0.1449829450e-37+0.8451351705e-37*I, -0.6275071183e-38+0.8552431450e-37*I, 0.2008503694e-38+0.8573685437e-37*I, 0.1027510603e-37+0.8514880865e-37*I, 0.1844750360e-37+0.8376532724e-37*I, 0.2644927944e-37+0.8159900249e-37*I, 0.3420554936e-37+0.7866976374e-37*I, 0.4164366713e-37+0.7500470242e-37*I, 0.4869391201e-37+0.7063782866e-37*I, 0.5529014927e-37+0.6560976160e-37*I, 0.6137045944e-37+0.5996735595e-37*I, 0.6687772877e-37+0.5376326784e-37*I, 0.7176019529e-37+0.4705546426e-37*I, 0.7597194490e-37+0.3990668022e-37*I, 0.7947335225e-37+0.3238382916e-37*I, 0.8223146207e-37+0.2455737195e-37*I, 0.8422030659e-37+0.1650065065e-37*I, 0.8542115619e-37+0.8289193856e-38*I, 0.8582270020e-37]

(7)
 

``

Download 0_one.mw

Just experienced a strange response from Maple when I changed the Font anti-aliasing to enabled.

With Font anti-aliasing disabled I ran evalf(Pi,100) and Maple returned 100 digits - no problem.  I then did some other errands in other programs leaving Maple idle, when I came back I thought I would change anti-aliasing to enabled and see if maybe that's the reason why some users are experiencing icons disappearing etc..

Well I re entered and evalueated evalf(Pi,100) and Maple only output 10 digits.  Huh??? What!? Why?  changed font anti-aliasing back but no joy.  So I closed Maple and I got a pop up

Maybe it was hiding behind Maple I don't know but I don't think it was there until I closed Maple.  It seems this OpenJDK platform I believe is causing a lot of Maple issues.

Whoa!  That's really odd.  My restart was with Maple Font anti-aliasing enabled I performed a evalf(Pi,100) and no problem.  I changed to Font anti-aliasing disabled and evalf(Pi,100) presented me with 10 digits!

What the heck is going on.  This font anti-aliasing enabled caused my Maple to slow down as the screen filled up (as I recorded in a earlier post months ago) and now toggling anti-aliasing causes the outputs to not work as expected.  It's gotta be an open JDK issue. (FYI closing Maple did not produce the same pop-up as earlier - I expect idling maple for a while might)

Please check the following examples, first without using Units, and the second using it:

No Units:

 

With Units:

 

Why does the with(Units) doesn't compute the value? How can I make it work?

Thanks

in phase portrait 3d , i use 4 initial condition, How  can I draw each initial condition in diferent colour. it very helpfull so i can see the moving of each IC. Thank you

I'm learning about simplifications in Maple and I'm trying to make it simplify simple trigonometric expressions like sin(x) / cos(x) to tan(x), but it doesn't.

I tried the commands simplify(sin(x) / cos(x)), simplify(sin(x) / cos(x), trig) and nothing works. It still returns:

simplify(sin(x)/cos(x), trig)

I managed to make it work using convert(sin(x)/cos(x), tan):

convert(sin(x)/cos(x), tan)

BUT it creates more problems than it solves, because if I have something like sin(x)/cos(x)*sin(x), I would like it to simplify as tan(x)*cos(x), but instead it converts everything to tan and I get a much more complicated expression:

convert(sin(x)/cos(x)*sin(x), tan)

Can someone help me please?

Hi,

Can anybody explain why

with(Units):
A := 1, 2, 3:
B := 4, 5, 6:
AB := B - A;

outputs 11, but the output is 3, 3, 3 without the Units package?

Best regards,

Mikkel

I have some c# function that i want to use in maple, and I doing all according to this arcticle : https://www.mapleprimes.com/posts/38019-Calling-Out-To-C-From-Maple
but i still get this: 
Any ideas what i should do?

restart

with(plottools)

with(plots)

with(CurveFitting)

Digits := 10

NULL

"f(t):=7.0*(e)^((-(t-13180)^(2))/(2000000))+4.7*(e)^((-(t-16000)^(2))/(3200000)):"

p1 := plot(f(t), t = 0 .. 20000, color = green); plots[display]({p1})

 

NULL

D1 := 15

epsilon := 200000

L := 6500

n := 200

t := 1000

1000

(1)

lambda := simplify(evalf(n*Pi*sqrt((1/2)*D1+sqrt((1/4)*D1^2+epsilon*(n*Pi/L)^2))/L))

.6928578233

(2)

b := 2*(int(f(t)*sin(m*Pi*x/L), x = 0 .. L))/L

-0.6366197724e-1*(0.1409730543e-28*cos(3.141592654*m)-0.1409730543e-28)/m

(3)

C(x, t) = sum(b*exp^(-lambda^2*t)*sin(m*Pi*x/L), m = 1 .. 2)

C(x, 1000) = 0.1794924675e-29*sin(0.4833219466e-3*x)/exp^(4800519633/10000000)

(4)

uu1000 := [seq(evalf(C(L-i, t)), i = 0 .. 6500, 100)]

[C(6500, 1000), C(6400, 1000), C(6300, 1000), C(6200, 1000), C(6100, 1000), C(6000, 1000), C(5900, 1000), C(5800, 1000), C(5700, 1000), C(5600, 1000), C(5500, 1000), C(5400, 1000), C(5300, 1000), C(5200, 1000), C(5100, 1000), C(5000, 1000), C(4900, 1000), C(4800, 1000), C(4700, 1000), C(4600, 1000), C(4500, 1000), C(4400, 1000), C(4300, 1000), C(4200, 1000), C(4100, 1000), C(4000, 1000), C(3900, 1000), C(3800, 1000), C(3700, 1000), C(3600, 1000), C(3500, 1000), C(3400, 1000), C(3300, 1000), C(3200, 1000), C(3100, 1000), C(3000, 1000), C(2900, 1000), C(2800, 1000), C(2700, 1000), C(2600, 1000), C(2500, 1000), C(2400, 1000), C(2300, 1000), C(2200, 1000), C(2100, 1000), C(2000, 1000), C(1900, 1000), C(1800, 1000), C(1700, 1000), C(1600, 1000), C(1500, 1000), C(1400, 1000), C(1300, 1000), C(1200, 1000), C(1100, 1000), C(1000, 1000), C(900, 1000), C(800, 1000), C(700, 1000), C(600, 1000), C(500, 1000), C(400, 1000), C(300, 1000), C(200, 1000), C(100, 1000), C(0, 1000)]

(5)

``

xx := [seq(k, k = 0 .. 6500, 100)]

NULL

p2 := plot(xx, uu1000, color = cyan)

Error, (in plot) two lists or Vectors of numerical values expected

 

plots[display]({p2})

Error, (in plots:-display) expecting plot structures but received: {p2}

 

NULL

Download easy_way.mw

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