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Equation 1 · Part 5 · Claude, From First Principles: Training, Constitutional Methods, and What Actually Shapes a Response

subscript

Cpre≈6ND,C_{\mathrm{pre}} \approx 6ND,
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

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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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

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