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Equation 51 · Part 3 · A Chatbot Confessed to Being Built by a Company That Never Trained It

fraction

TH=0.22−0.031−0.03≈0.196T_H=\frac{0.22-0.03}{1-0.03}\approx0.196
fraction

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

The passage around this formula

No sealed trial of the kind proposed later in this article has been run, and every number in this section is invented to show what the construction predicts, not what it has found. Suppose a population of N=30 models: ten fine-tuned directly on a seeded source’s outputs ( MV\mathcal{M}_V ), ten exposed only to a scaffold template and a handful of the source’s outputs recirculated through an unrelated synthetic-data pipeline ( MH\mathcal{M}_H ), and ten trained on the same task distribution with no contact with the source at all ( M∅\mathcal{M}_\varnothing ), each tested against a k=200 -probe battery for one seeded, low-prior trait. Suppose I0I_0=0.03 , a 3 percent spontaneous rate, and \bar…

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

Open the illustrated fractions: division written vertically guide →

Sources cited in the article section

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