Full action
In FIDE, a measure of the minimum mean-square velocity correction required to realize a full dynamics path; its square root corresponds to a reference relative expected-rate discrepancy on gradient-normalized Sobolev classes.
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FIDE defines a metric called "Full action," namely the minimum mean-square velocity correction required to realize the full path; its square root is the sharp reference-relative expected rate difference on the gradient-normalized Sobolev class.
The square root of Full action is interpreted as the sharp reference-relative expected rate difference on the gradient-normalized Sobolev class, which means the object being measured is not the Euclidean distance of the path itself but the correction cost measured by the mean-square magnitude of the velocity field.
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FIDE defines a metric called "Full action," namely the minimum mean-square velocity correction required to realize the full path; its square root is the sharp reference-relative expected rate difference on the gradient-normalized Sobolev class.
50%UnverifiedThe square root of Full action is interpreted as the sharp reference-relative expected rate difference on the gradient-normalized Sobolev class, which means the object being measured is not the Euclidean distance of the path itself but the correction cost measured by the mean-square magnitude of the velocity field.
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