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Question: Curious behavior the convert( V, VectorCalculus) and convert (V,PhysicsVector) functions

Question:Curious behavior the convert( V, VectorCalculus) and convert (V,PhysicsVector) functions

Louis Lamarche 105 Maple 2017
vectorcalculus physics
October 18 2017
2

Converting a VectorCalculus vector to a PhysicsVectors vector and reconverting it back
to VectorCalculus vector do not return the same result !
is this a bug ? Any clue ?

> 

with(plots):
with(VectorCalculus):
with(Physics[Vectors]):
with(inttrans):
Setup(mathematicalnotation = true):
> 

SetCoordinates('spherical'[r, phi, theta]);
E_[1]:=Vector(<r,phi,theta>);
'VectorCalculus(E_[1])'=type(E_,Vector);
'PhysicsVectors(E_[1])'=type(E_,PhysicsVectors);

Ev_[1]:=convert(E_[1],PhysicsVectors);
'VectorCalculus(Ev_[1])'=type(Ev_,Vector);
'PhysicsVectors(Ev_[1])'=type(Ev_,PhysicsVectors);

E_[2]:=convert(Ev_[1],VectorCalculus);
'E_[2]'<>'E_[1] !';

spherical[r, phi, theta]

  

`#mover(mi("E"),mo("&rarr;"))`[1] := Vector(3, {(1) = r, (2) = phi, (3) = theta}, attributes = [coords = spherical[r, phi, theta]])

  

VectorCalculus(E_[1]) = true

  

PhysicsVectors(E_[1]) = false

  

_phi*phi+_r*r+_theta*theta

  

VectorCalculus(Ev_[1]) = false

  

PhysicsVectors(Ev_[1]) = true

  

`#mover(mi("E"),mo("&rarr;"))`[2] := Vector[row](3, {(1) = r, (2) = theta, (3) = phi}, attributes = [vectorfield, coords = spherical[r, phi, theta]])

  

E_[2] <> factorial(E_[1])

 (1)
> 

 


 

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