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Equation 1 · Part 4 · Claude, From First Principles: Training, Constitutional Methods, and What Actually Shapes a Response

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Cpre≈6ND,C_{\mathrm{pre}} \approx 6ND,
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What this part means

Approximately equal to; the equality is not exact.

Its job in the formula

Approximately equal to; the equality is not exact.

The passage around this formula

The architecture underneath a Claude model, like nearly every other frontier language system, is a decoder-only transformer trained to predict the next token over a very large corpus [ 12 ] . What that training actually produces is not knowledge in any curated sense but a prior — a broad distribution over plausible continuations that encodes an enormous amount about language, code, and the structure of arguments, and comparatively little about what any particular operator wants done with it. Two variables set the price of that prior. Pretraining compute for a dense transformer is well approximated by Cpre≈6NDC_{\mathrm{pre}} \approx 6ND. where N is the parameter count and D is the number of training tokens,…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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