JetCoordinateTransformation(JB1, JB2, Y, W)

jet.spad line 6336 [edit on github]

• JB1: JetBundleCategory

• JB2: JetBundleCategory

• Y: Vector JetBundleExpression JB2

• W: Vector JetBundleExpression JB2

JetCoordinateTransformation implements changes of local coordinates. Given are the changes of the coordinates of the base space, i.e. the independent and dependent variables. The transformations of the derivatives are computed via the chain rule. Y (W) contains expressions for the old variables in terms of the new ones.

transform: JB1 -> JetBundleExpression JB2

transform(jv) transforms a jet variable jv into a function of the new coordinates.

transform: JetBundleExpression JB1 -> JetBundleExpression JB2

transform(f) rewrites a function of the old coordinates in the new ones.