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Fancypants

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These are questions asked by Fancypants

Geometry problem...

Fancypants 15 Maple
geometry
July 06 2020
3 6

Dear experts;

I would like to know the angle between lines P0-P1 and P0-P3. I believe I need to solve for all the angles to get this.

I have attempted to set this up in maple but... maple doesn't like what I've done. Can you tell me what I've done wrong?

geometry.mw

Help with solving ODE?...

Fancypants 15 Maple
ode dsolve differential-equations
June 24 2020
1 8

Might anyone be able to tell me what I am doing wrong trying to solve for this ODE?

Thanks so much!

thoughts_about_cost_functions.mw

Are subscripts messing up my derivative?...

Fancypants 15 Maple
derivative syntax subscript
June 16 2020
1 3

Sorry, I have not used Maple for a long time...

I would like to know the derivative of Jy w.r.t. py1 in the following. I expect the answer to be 2 Wy6 py1-2 Wy6 py10 but I get 0. Am I not using the subscripts properly that Maple is not understanding me?


 

J__y := (1/2)[W__y1(a[c]^y-(diff(S[1](t), t, t))^y)^2+W__y2((diff(S[1](t), t))^y)^2+W__y3(S[1]^y)^2+W__y4(`#mscripts(mi("φ",fontstyle = "normal"),mi("c"),none(),none(),mo("."),none(),none())`-`#mscripts(mi("φ",fontstyle = "normal"),mi("S"),none(),none(),mo("."),none(),none())`)^2+W__y5(`φ__S`)^2+W__y6(p__y1-p__y10)^2+W__y7(p__y2-p__y20)^2+W__y8(p__y3-p__y30)^2+W__y9(p__y4-p__y40)^2]

(1/2)[W__y1(a[c]^y-(diff(diff(S[1](t), t), t))^y)^2+W__y2((diff(S[1](t), t))^y)^2+W__y3(S[1]^y)^2+W__y4(`#mscripts(mi("φ",fontstyle = "normal"),mi("c"),none(),none(),mo("."),none(),none())`-`#mscripts(mi("φ",fontstyle = "normal"),mi("S"),none(),none(),mo("."),none(),none())`)^2+W__y5(phi__S)^2+W__y6(p__y1-p__y10)^2+W__y7(p__y2-p__y20)^2+W__y8(p__y3-p__y30)^2+W__y9(p__y4-p__y40)^2]

 (1)

diff(p[y*i](t), t) := K[yp*i](p[y*i]-p[y0*i])-K[py*i]*(diff(Jy, p[y*i]))

K[yp*i](p[y*i]-p[y0*i])-K[py*i]*(diff(Jy, p[y*i]))

 (2)

Diff(J__y, p__y1)

Diff((1/2)[W__y1(a[c]^y-(diff(diff(S[1](t), t), t))^y)^2+W__y2((diff(S[1](t), t))^y)^2+W__y3(S[1]^y)^2+W__y4(`#mscripts(mi("φ",fontstyle = "normal"),mi("c"),none(),none(),mo("."),none(),none())`-`#mscripts(mi("φ",fontstyle = "normal"),mi("S"),none(),none(),mo("."),none(),none())`)^2+W__y5(phi__S)^2+W__y6(p__y1-p__y10)^2+W__y7(p__y2-p__y20)^2+W__y8(p__y3-p__y30)^2+W__y9(p__y4-p__y40)^2], p__y1)

 (3)

NULL

``


 

Download cost_function_partial_derivative.mw

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