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Equation 55 · Part 12 · A Reference Frame Becomes Classical by Publishing Its Orientation

subscript

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\},
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

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.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.