Carl Love

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Name: Carl Love

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Member for: 12 years, 361 days

Title: Himself

Location: Wayland, Massachusetts, United States

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My name was formerly Carl Devore.

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These are replies submitted by Carl Love

Here's my results...

Commented: Carl Love 28055

October 22 2013

@Bendesarts Here are my results. Download the attached worksheet and run it on your system.

restart:

>	kernelopts(version);

constants:= ({constants} minus {gamma})[]:

`evalf/gamma`:= proc() end proc:

`evalf/constant/gamma`:= proc() end proc:

unprotect(gamma);

>	P_1_0:=Matrix([<cos(gamma(t)),-sin(gamma(t)),0>,<sin(gamma(t)), cos(gamma(t)),0 >,<0, 0, 1>]);

>	AG1_R1:=<(1/2)*r, 0, 0>;

>	AG1_R0:=simplify(P_1_0.AG1_R1);

>	V_G1_R0:=map(diff, AG1_R0, t);

$P_1_0 := Matrix(3, 3, {(1, 1) = cos(gamma(t)), (1, 2) = sin(gamma(t)), (1, 3) = 0, (2, 1) = -sin(gamma(t)), (2, 2) = cos(gamma(t)), (2, 3) = 0, (3, 1) = 0, (3, 2) = 0, (3, 3) = 1})$

$AG1_R1 := Vector(3, {(1) = (1/2)*r, (2) = 0, (3) = 0})$

$AG1_R0 := Vector(3, {(1) = (1/2)*cos(gamma(t))*r, (2) = -(1/2)*sin(gamma(t))*r, (3) = 0})$

$V_G1_R0 := Vector(3, {(1) = -(1/2)*sin(gamma(t))*(diff(gamma(t), t))*r, (2) = -(1/2)*cos(gamma(t))*(diff(gamma(t), t))*r, (3) = 0})$

Download gamma.mw

Not listed as thread safe...

Commented: Carl Love 28055

October 22 2013

Physics is not listed at ?index,threadsafe , so it must be considered unsafe.

It works for me...

Answered: Carl Love 28055

October 22 2013

0 0

@Bendesarts It works for me in Maple 16. What error are you getting?

Note that MatrixVectorMultiply(A, B) can be shortened to simply A.B

It works for me...

Commented: Carl Love 28055

October 22 2013

@Bendesarts It works for me in Maple 16. What error are you getting?

Note that MatrixVectorMultiply(A, B) can be shortened to simply A.B

Example?...

Answered: Carl Love 28055

October 22 2013

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@Bendesarts Would you please show me an example of it not working? With the above commands, I am able to do diff(gamma(t), t) and simplify(gamma(t)) with no problem.

Example?...

Commented: Carl Love 28055

October 22 2013

@Bendesarts Would you please show me an example of it not working? With the above commands, I am able to do diff(gamma(t), t) and simplify(gamma(t)) with no problem.

Attached file(s) missing...

Commented: Carl Love 28055

October 22 2013

There is no attached file on your question.

Sorry, didn't notice it....

Commented: Carl Love 28055

October 22 2013

@J4James Sorry, I didn't notice the attached file. I got it now.

Doesn't match what?...

Commented: Carl Love 28055

October 22 2013

What is it that the output doesn't match? Can you show a graph of the alternative?

siderels and sqrts...

Commented: Carl Love 28055

October 21 2013

It's an interesting problem. The simplified form that you got with solve andsubs contains sqrt(s[4]), even though the expressions to be simplified and the side relations are purely polynomial. The simplify-with-side-relations will never introduce sqrt like that. There may be some options though. I haven't been able to get it to work yet, but there may be a way where you change s[4] to s[4]^2.

Pedagogy...

Answered: Carl Love 28055

October 21 2013

0 0

Thanks for the addition. I had stretched out the computation for pedagogical reasons---to emphasize the linear algebra---thinking that the OP was taking a course in it.

Pedagogy...

Commented: Carl Love 28055

October 21 2013

Thanks for the addition. I had stretched out the computation for pedagogical reasons---to emphasize the linear algebra---thinking that the OP was taking a course in it.