Ronan

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11 years, 349 days
East Grinstead, United Kingdom

MaplePrimes Activity


These are replies submitted by Ronan

@Kitonum That works quitew well.

@Thomas Richard  Thank You

Well I can't see a way. I was oringinaly asking hopeing maple could automatically reduce the answer. The original problem was to do with a problem in Rational Trigonometry. I wandered off into the weeds working it out (with the help of Maple) as my answer shows. Here is a link to how the solution is arrived at http://www.youtube.com/watch?v=FsQb0_Lgphc&list=PL3C58498718451C47 . I guess one would need to evaluate/ relate both solutions and see how one  relates to the other. I don't have a tidy worksheet that is worth posting. I could do one though.

Well I can't see a way. I was oringinaly asking hopeing maple could automatically reduce the answer. The original problem was to do with a problem in Rational Trigonometry. I wandered off into the weeds working it out (with the help of Maple) as my answer shows. Here is a link to how the solution is arrived at http://www.youtube.com/watch?v=FsQb0_Lgphc&list=PL3C58498718451C47 . I guess one would need to evaluate/ relate both solutions and see how one  relates to the other. I don't have a tidy worksheet that is worth posting. I could do one though.


rationalize(expand(41/sqrt(2141+936*sqrt(5)-4*sqrt(488725+218558*sqrt(5)))))

-(1/68921)*(2141+936*5^(1/2)-4*(488725+218558*5^(1/2))^(1/2))^(1/2)*(2141+936*5^(1/2)+4*(488725+218558*5^(1/2))^(1/2))*(-681+304*5^(1/2))

(1)

``

``

(->)

2.4530850560107217717909335149612374992321847859381

(2)

``

``

2*sqrt(5-2*sqrt(5))+1

2*(5-2*5^(1/2))^(1/2)+1

(3)

(->)

2.4530850560107217717909335149612374992321847859305

(4)

``


Download Rationalize_ans.mw


Look like worksheet didn't attach. "nd try

In the definition of spherical coords the order is r, theta , phi

SetCoordinates('spherical'[r, theta, phi]),

in the definition of the Vector field the order is r, phi ,theta

A := VectorField(`<,>`(A_r(r, phi, theta), `A_θ`(r, phi, theta), `A_φ`(r, phi, theta)))

Why is this?

In the definition of spherical coords the order is r, theta , phi

SetCoordinates('spherical'[r, theta, phi]),

in the definition of the Vector field the order is r, phi ,theta

A := VectorField(`<,>`(A_r(r, phi, theta), `A_θ`(r, phi, theta), `A_φ`(r, phi, theta)))

Why is this?

Thank you. That is a great help. Got something to work with now.

Thank you. That is a great help. Got something to work with now.

It would help is you could upload a worksheet. If the equations are polynomial or can be converted to polynomial try Groebner analysis.

It looks like part of the equation is missing at the end of the first line.

Thanl you .

So simple when you know. What is  op(op(%)) supposed to do? It works fine without it.

Thanl you .

So simple when you know. What is  op(op(%)) supposed to do? It works fine without it.

Thank you. I didn't know about the blank having such an effect. a bit of history. The Xs are the real roots of a 20th oder polynomial which garunteed the Ys real, so that's what started of the lists idea. With hind sight I should have probably have put all teve valuse in a 20X6 table and then deleted rows accordingly. As the complex numbers( a,b,c) were being genarated by arcsin(x) iI got around the problem be checking |x|<=1.

Thank you. I didn't know about the blank having such an effect. a bit of history. The Xs are the real roots of a 20th oder polynomial which garunteed the Ys real, so that's what started of the lists idea. With hind sight I should have probably have put all teve valuse in a 20X6 table and then deleted rows accordingly. As the complex numbers( a,b,c) were being genarated by arcsin(x) iI got around the problem be checking |x|<=1.

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