Symbol d
d is part of the quantity the equation computes from the expression on the right.
Read this term in its guide →Published equation contexts
Why this formula appears here
The central mathematical test is simple to state. Apply a common frame transformation h to the physical description. Covariance sends g and to hg and h , or to the appropriate left/right action fixed by convention. A left-invariant distance satisfies . The Haar measure is invariant, and the transformed POVM produces the correspondingly transformed outcome probabilities. Therefore the integration region defining success is merely relabeled. The value of , and hence , should not change.
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Symbol h
h is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.
Read this term in its guide →Symbol hat g
hat g is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.
Read this term in its guide →How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
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Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 63 · Evolutionary Physics
A Reference Frame Becomes Classical by Publishing Its Orientation
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
The central mathematical test is simple to state. Apply a common frame transformation h to the physical description. Covariance sends g and to hg and h , or to the appropriate left/right action fixed by convention. A left-invariant distance satisfies . The Haar measure is invariant, and the transformed POVM produces the correspondingly transformed outcome probabilities. Therefore the integration region defining success is merely relabeled. The value of , and hence , should not change.