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1−δ1-\delta

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The estimator needs its own audit. A numerical POVM can appear successful because the orientation grid is too coarse, because training and evaluation reuse the same samples, or because Euler-angle quadrature overweights a coordinate pole. The registered protocol therefore separates optimization orientations from a fresh Haar-distributed evaluation set, repeats the result in quaternion coordinates, and includes an orientation-independent fragment as a blinded negative control. Uncertainty on pϵ(F)p_\epsilon(F) will be reported before the integer threshold converts it into redundancy. Otherwise a probability sitting one Monte Carlo error bar either side of 1-δ\delta could make the public witness…

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δ\delta

Symbol delta

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1−δ1-\delta

Equation 92 · Evolutionary Physics

A Reference Frame Becomes Classical by Publishing Its Orientation

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

The estimator needs its own audit. A numerical POVM can appear successful because the orientation grid is too coarse, because training and evaluation reuse the same samples, or because Euler-angle quadrature overweights a coordinate pole. The registered protocol therefore separates optimization orientations from a fresh Haar-distributed evaluation set, repeats the result in quaternion coordinates, and includes an orientation-independent fragment as a blinded negative control. Uncertainty on pϵ(F)p_\epsilon(F) will be reported before the integer threshold converts it into redundancy. Otherwise a probability sitting one Monte Carlo error bar either side of 1-δ\delta could make the public witness…

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