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Equation 55 · Part 8 · A Reference Frame Becomes Classical by Publishing Its Orientation

Symbol F_k

Rϵ,δ(g)=max⁡{M:F1,…,FM are disjoint,pϵ(Fk)≥1−δ for every k},R_{\epsilon,\delta}(g)= \max\left\{M:\begin{array}{l} F_1,\ldots,F_M\ \text{are disjoint},\\ p_{\epsilon}(F_k)\geq1-\delta\ \text{for every }k \end{array}\right\},
FkF_k

What this part means

FkF_k appears in the objective or constraint used by the optimization on the right.

Its job in the formula

FkF_k appears in the objective or constraint used by the optimization on the right.

The passage around this formula

Now define Rϵ,δ(g)=max⁡{M:F1,…,FM are disjoint,pϵ(Fk)≥1−δ for every k}R_{\epsilon,\delta}(g)= \max\left\{M:\begin{array}{l} F_1,\ldots,F_M\ \text{are disjoint},\\ p_{\epsilon}(F_k)\geq1-\delta\ \text{for every }k \end{array}\right\}. subject to 1-δ\delta>pblind(ϵ)p_{\mathrm{blind}}(\epsilon) and to a fixed rule for which fragment partitions are admissible. The displayed g records the physical parameter of interest; under the Haar-average convention the resulting scalar is independent of its coordinate label. A worst-case definition would retain explicit dependence until the infimum is taken.

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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