From: mikko.levanto@iki.fi   
      
   On 2024-08-07 11:37:02 +0000, the moderator said:   
      
   > I think Stefan is using "tangent vector" and "cotangent vector"   
   > in the sense of differential geometry and tensor calculus.  In   
   > this usage, these phrases describe how a vector (a.k.a a rank-1   
   > tensor) transforms under a change of coordintes: a tangent vector   
   > (a.k.a a "contravariant vector") is a vector which transforms the   
   > same way a coordinate position $x^i$ does, while a cotangent vector   
   > (a.k.a a "covariant vector") is a vector which transforms the same   
   > way a partial derivative operator $\partial / \partial x^i$ does.   
      
   Thank you. That makes sense.   
      
   --=20   
   Mikko   
      
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