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Why does this integral not work with ind...

C_R 3452 Maple
integration indexed
18 hours ago
1 5

NULL

Evaluation with `ϕ__0`subscripted

-t(0)+t(`ϕ`(t)) = Int(1/sqrt(2*C*cos(`ϕ`)-2*C*cos(`ϕ__0`)), `ϕ` = 0 .. `ϕ`(t), continuous)

-t(0)+t(varphi(t)) = Int(1/(2*C*cos(varphi)-2*C*cos(varphi__0))^(1/2), varphi = 0 .. varphi(t), continuous)

 (1)

t(0) = 0, `ϕ`(t) = `ϕ__0`, t(`ϕ__0`) = (1/4)*T

t(0) = 0, varphi(t) = varphi__0, t(varphi__0) = (1/4)*T

 (2)

subs(t(0) = 0, varphi(t) = varphi__0, t(varphi__0) = (1/4)*T, -t(0)+t(varphi(t)) = Int(1/(2*C*cos(varphi)-2*C*cos(varphi__0))^(1/2), varphi = 0 .. varphi(t), continuous))

(1/4)*T = Int(1/(2*C*cos(varphi)-2*C*cos(varphi__0))^(1/2), varphi = 0 .. varphi__0, continuous)

 (3)

isolate(`assuming`([simplify(value((1/4)*T = Int(1/(2*C*cos(varphi)-2*C*cos(varphi__0))^(1/2), varphi = 0 .. varphi__0, continuous)))], [C > 0, 0 < `&varphi;__0` and `&varphi;__0` < Pi]), T)

T = 4*InverseJacobiAM((1/2)*varphi__0, csc((1/2)*varphi__0))*csc((1/2)*varphi__0)/C^(1/2)

 (4)

NULL

NULL

Replacing now in the above varphi__0 by varphi[0]

NULL

Evaluation with `&varphi;`[0] indexed

-t(0)+t(`&varphi;`(t)) = Int(1/sqrt(2*C*cos(`&varphi;`)-2*C*cos(`&varphi;`[0])), `&varphi;` = 0 .. `&varphi;`(t), continuous)

-t(0)+t(varphi(t)) = Int(1/(2*C*cos(varphi)-2*C*cos(varphi[0]))^(1/2), varphi = 0 .. varphi(t), continuous)

 (5)

t(0) = 0, `&varphi;`(t) = `&varphi;`[0], t(`&varphi;`[0]) = (1/4)*T

t(0) = 0, varphi(t) = varphi[0], t(varphi[0]) = (1/4)*T

 (6)

subs(t(0) = 0, varphi(t) = varphi[0], t(varphi[0]) = (1/4)*T, -t(0)+t(varphi(t)) = Int(1/(2*C*cos(varphi)-2*C*cos(varphi[0]))^(1/2), varphi = 0 .. varphi(t), continuous))

(1/4)*T = Int(1/(2*C*cos(varphi)-2*C*cos(varphi[0]))^(1/2), varphi = 0 .. varphi[0], continuous)

 (7)

isolate(`assuming`([simplify(value((1/4)*T = Int(1/(2*C*cos(varphi)-2*C*cos(varphi[0]))^(1/2), varphi = 0 .. varphi[0], continuous)))], [C > 0, 0 < `&varphi;`[0] and `&varphi;`[0] < Pi]), T)

T = 4*2^(1/2)*(-(limit(((-cos(varphi)+cos(varphi[0]))/(-1+cos(varphi[0])))^(1/2)*InverseJacobiAM((1/2)*varphi, csgn(sin((1/2)*varphi[0]))*csc((1/2)*varphi[0]))/(cos(varphi)-cos(varphi[0]))^(1/2), varphi = 0, right))*(cos(varphi[0])-cos(varphi[0][0]))^(1/2)+((-cos(varphi[0])+cos(varphi[0][0]))/(-1+cos(varphi[0][0])))^(1/2)*InverseJacobiAM((1/2)*varphi[0], csgn(sin((1/2)*varphi[0][0]))*csc((1/2)*varphi[0][0])))/(C^(1/2)*(cos(varphi[0])-cos(varphi[0][0]))^(1/2))

 (8)

NULL


The double indices in the above limit do not make sense.

In case this is a bug: Is there any workaround for indexed names? I want to use them to have numbers in indices in roman which seems to be not possible with subscripts. 

 

Download Evaluation_of_elliptic_integrals.mw

Why is Maple 2025.1 not listed in Window...

C_R 3452 Maple 2025
windows11
July 23 2025
0 0

To organize windows, Windows 11 provides a new function "Snap Layout". The example screen shot below shows options to place the Maple 2025 Screen Reader window.  

Ein Bild, das Screenshot, Reihe, Software, Multimedia-Software enthält. KI-generierte Inhalte können fehlerhaft sein.

Draging now Maple 2025.1 Screen Reader to the left window of the third option results in the following selection screen

Ein Bild, das Text, Screenshot, Software, Computersymbol enthält. KI-generierte Inhalte können fehlerhaft sein.

where on the right a list of tasks to chose from is presented. In this list Maple 2025.1 is missing. However Maple 2025.1 was running as can be seen from the task bar.

Has anybody managed to position Maple 2025.1 windows with the Snap Layout (or alternatively with Win+Arrow keys) or at least reproduce what I see on my computer?

Why can a Maple 2025.1 window be adjusted by hand but Windows does not do this in Snap Layout?

(Dragging and adjusting a Maple window by hand is not an option. This is how we had to work before Windows 7.)

Why is my email not updated after changi...

C_R 3452 MaplePrimes
July 20 2025
1 2

I tried to change my email adress but after submitting changes I still get my old email listed.

Additionally to only changing the email I also changed my password.

Nothing worked. What could I have done wrong?

How to delete a MaplePrimes account...

C_R 3452 MaplePrimes
account
July 18 2025
1 2

I created a temporary account because I could not log in after the recent shutdown of MaplePrimes.

The login issue is resolved and I do not need the temporary account any longer.

How can I delete the temporary account. Edit: deletion is not the primary objective. Making the account inactive would do as well.

I am probably overlooking this option

FFT in MapleSim...

C_R 3452 MapleSim
fft
July 02 2025
1 2

I came across this

Can these library components be used to perform FFT on signals in MapleSim?

Any guidance on FFT and MapleSim appart from exporting to Maple would be very much appreciated.

(Easy) frequency analysis is among the top features I am missing in MapleSim.

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