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For tensor fields gauge freedom increases the kernel further, and the X-ray transform is not solenoidally injective unless n="0.
The transformation between them is a gauge freedom.
After the gauge freedom of Newtonian gravitation theory, the next best known gauge freedom is in classical electrodynamics.
This is the simplest and best known example of a gauge freedom in physics.
The analysis of the hole argument provides philosophers of physics a convenient template when they are trying to decide if something is a gauge freedom or not.
Because of this gauge freedom, the field equation (10) can be written in the following form Q 2 1 + 6 K αβ + c D 2 ∂ 2. K = 0 Open image in new window (14).
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The hole argument provides a template for the analysis of gauge freedoms in physical theories.
The hole argument has had a broader significance in the philosophy of science in three ways, pertaining to realism about theoretical entities, to theories of quantum gravity and to the way we should approach gauge freedoms in physical theories.
This second scheme takes advantage of the prepared gauge degrees of freedom, and to our knowledge is the first example in which the state of the gauge directly affects the robustness of a code's memory.
"Connecticut has wide freedom to gauge on a case-by-case basis the fitness of an applicant to practice law.
A recommendation on what deal or deals, if any, to present to shareholders will be made by the 12-member board of Freedom, after gauging the family members' receptivity to the various bidders and seeing the actual offers.
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