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

Symbol D

DD
DD

What this part means

the number of training tokens, the factor of six accounting for the forward and backward pass together.

Its job in the formula

D is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

where N is the parameter count and D is the number of training tokens, the factor of six accounting for the forward and backward pass together.

The passage around this formula

where N is the parameter count and D is the number of training tokens, the factor of six accounting for the forward and backward pass together. Kaplan and colleagues showed empirically that test loss falls as a power law in each of N , D , and compute across many orders of magnitude, with a functional form that includes an irreducible floor: doubling the parameter count buys a fixed decrement in loss, not a fixed multiple of capability [ 12 ] . That single empirical regularity is a large part of why frontier pretraining runs keep growing and why each one produces diminishing, rather than accelerating, returns.

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Learn the underlying idea

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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