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Equation 5 · Part 2 · The Safeguards Behind a Claude Refusal, and What They're Actually Trading Off

subscript

pescp_{\text{esc}}
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

Because pescp_{\text{esc}} is small on ordinary traffic, the average cost collapses toward cprobec_{\text{probe}} even though cexchangec_{\text{exchange}} did not get any cheaper — which is the documented reason Anthropic reports the overhead falling from 23.7% to roughly 1% between generations, alongside a drop in the harmless-traffic refusal rate to 0.05% and, across more than 1,700 cumulative red-teaming hours against the new system, one high-risk vulnerability found, which Anthropic describes as a detection rate of 0.005 per thousand queries — the lowest of any defense it reports having evaluated [ 1 ] . Every one of those figures is Anthropic’s own measurement of its own system; none has yet appeared in…

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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 surrounding passage

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