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Question: How to define a higher dimentional vector field

Question:How to define a higher dimentional vector field

Ava9 40 Maple
jacobian vectorcalculus vector-field
April 16 2021
1

Suppose we have a state vector x=[x_1,y_1,theta_1,x_2,y_2,theta_2] and a vector field f=[cos(theta_1),sin(theta_1),0,0,0,0]

How we can define a vector field with 6 dimentions?

with(VectorCalculus);
f := VectorField([cos(theta__1),sin(theta__1),0,0,0,0],'cartesian ??? '[x__1,y__1,z__1,x__2,y__2,z__2]);

I need to compute the Jacobian of f wrt x:

Jacobian(f, [x_1,y_1,theta_1,x_2,y_2,theta_2]
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