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C_R

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These are questions asked by C_R

Can simplify be improved on this express...

C_R 3622 Maple
radical simplify assumptions
October 26 2025
4 9

In the below I had to add the assumption x>=0 to get simplifications. Am I wrong with my interpretation that the other assumptions should have been sufficient?

Why "local D" prints D not in ...

C_R 3622 Maple
typesetting local 2d-output
October 21 2025
2 8

In the below I was looking for an explanation why D is not printed in italic whereas I does.

I

I

 (1)

whattype(I)

complex(extended_numeric)

 (2)

_local(I)

I

 (3)

whattype(I)

symbol

 (4)

D

D

 (5)

whattype(D)

procedure

 (6)

_local(D)

D

 (7)

whattype(D)

symbol

 (8)

NULL

After the local call D and I are both symbols but not printed the same way. Why is that?

Download local_D_still_roman.mw

Is opening recent documents not working ...

C_R 3622 Maple 2025
ribbon duplicate-question
October 19 2025
0 2

With the new ribbon interface (and startup-page disabled) I need to open a new worksheet to make opening files by the recent document menu work.

Can someone reproduce this?

How to change the font in headers and fo...

C_R 3622 Maple
font header footer
October 19 2025
1 1

I write text in Trebuchet MS. When inserting footers I have noticed that the print preview displays page numbers not with the same font (most likely in Times New Roman).

How to change the font of page numbers and other items in headers and footers?

Why does this integral not work with ind...

C_R 3622 Maple
integration indexed
October 05 2025
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

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