query: Active transformation and passive transformation of a scalar field
positive_passages.docid: 26416
positive_passages.text: Active versus passive transformations
negative_passages.docid: 88013
negative_passages.text: injective linear transformation basis.
negative_passages.docid: 139861
negative_passages.text: Support of a module with extended scalars
negative_passages.docid: 33669
negative_passages.text: In what sense is a scalar field observable in QFT?
negative_passages.docid: 93160
negative_passages.text: Null Space of Transformation
negative_passages.docid: 44710
negative_passages.text: Vector space of real vectors over field complex scalars.
negative_passages.docid: 131965
negative_passages.text: Why can't a real scalar couple to the electromagnetic field?
negative_passages.docid: 128867
negative_passages.text: Inverse of order preserving transformation
negative_passages.docid: 117986
negative_passages.text: Are there linear transformations from vector spaces over different fields?
negative_passages.docid: 29022
negative_passages.text: Linearization of PDE: $0$ is an eigenvalue since all translates of travelling waves are also travelling waves
negative_passages.docid: 40960
negative_passages.text: Implicit Differentiation
negative_passages.docid: 114562
negative_passages.text: Boundary conditions for calculus of variations in phase space and under canonical transformations
negative_passages.docid: 129567
negative_passages.text: Tangential component of Electric field
negative_passages.docid: 10785
negative_passages.text: Form of the Classical EM Lagrangian
negative_passages.docid: 95076
negative_passages.text: Finding a vector potential for a solenoidal vector field
negative_passages.docid: 155043
negative_passages.text: Substitution $\partial_\mu \to D_\mu \equiv \partial_\mu + ieA_\mu$ allows the introduction of electromagnetic interactions
negative_passages.docid: 152803
negative_passages.text: The effects of Lorentz transformation on shape