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Equation 27 · Part 13 · A Chatbot Confessed to Being Built by a Company That Never Trained It

Starting index or lower bound: minM_c^+

μc=1∣Mc+∣∑m∈Mc+1[d(rm,ρ)>δ]\mu_c=\frac{1}{|\mathcal{M}_c^+|}\sum_{m\in\mathcal{M}_c^+}\mathbb{1}[d(r_m,\rho)>\delta]
m∈Mc+m\in\mathcal{M}_c^+

What this part means

This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.

Its job in the formula

minMc+M_c^+ appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

The passage around this formula

A transfer rate above zero says a channel is associated with a trait. It does not yet say whether the trait is a faithful copy or a garbled one, and it says nothing about whether curators along the way made the trait more or less likely to survive into the next training corpus. Two further quantities complete the construction. The mutation rate μc\mu_c=1∣Mc+∣\frac{1}{|\mathcal{M}_c^+|}∑m∈Mc+\sum_{m\in\mathcal{M}_c^+}1\mathbb{1}[d(rmr_m,ρ\rho)>δ\delta] measures, among the trait-positive models in class c (the set Mc+\mathcal{M}_c^+ ), what fraction produce a response diverging from the seeded canonical form ρ\rho by more than a fixed threshold δ\delta under a declared distance function d : a high μc\mu_c says the…

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Learn the underlying idea

Σ adds a collection of terms. Π multiplies them. The lower and upper labels tell you which terms belong to the collection.

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