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Equation 4 · Part 3 · The Safeguards Behind a Claude Refusal, and What They're Actually Trading Off

Symbol p_esc

cˉ=cprobe+pesc⋅cexchange.\bar{c} = c_{\text{probe}} + p_{\text{esc}} \cdot c_{\text{exchange}}.
pescp_{\text{esc}}

What this part means

pep_esc is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

pep_esc is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

…it flags to a slower, more capable classifier that reviews the input and output together [ 1 ] . If cprobec_{\text{probe}} is the near-free cost of the first pass and cexchangec_{\text{exchange}} the much larger cost of the second, and pescp_{\text{esc}} is the fraction of traffic the probe escalates, the expected added cost per request is cˉ=cprobe+pesc⋅cexchange\bar{c} = c_{\text{probe}} + p_{\text{esc}} \cdot c_{\text{exchange}}. 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…

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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 surrounding passage

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