In other words, the underlying laws are symmetry transformation.
2.
Vanishing vacuum values of field symmetry transformation increments add no new information.
3.
Isospin is the symmetry transformation of the weak interactions.
4.
A symmetry transformation between the two is called parity.
5.
The functional measure would have to be invariant under the one parameter group of symmetry transformation as well.
6.
Equivariant maps generalize the concept of invariants, functions whose value is unchanged by a symmetry transformation of their argument.
7.
These are the defining symmetry transformations of General Relativity since the theory is formulated only in terms of a differentiable manifold.
8.
This is consistent with the idea that symmetry transformations not affecting the boundaries are gauge symmetries whereas those that do are global symmetries.
9.
Henri Poincar?provided the mathematical framework for relativity theory by proving that Lorentz transformations are a subset of his Poincar?group of symmetry transformations.
10.
Each X-stem Logic Alphabet symbol can be easily flipped or rotated, by eye-hand coordination, through a series of simple symmetry transformations.
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