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Published equation contexts

L(u)={1,u≤7×108g,u>7×108L(u) = \begin{cases} 1, & u \le 7 \times 10^{8} \\ g, & u > 7 \times 10^{8} \end{cases}

Why this formula appears here

A minimal formal statement of what this means is worth writing out, because it is easy to read past the word “sole discretion” in prose. Call u a licensee’s monthly active users at release, and define licence validity as L(u)={1,u≤7×108g,u>7×108L(u) = \begin{cases} 1, & u \le 7 \times 10^{8} \\ g, & u > 7 \times 10^{8} \end{cases}. where g ∈\in \{0, 1\} is not a fixed rule but a discretionary grant decided by the licensor after the fact. Below the threshold, “open” behaves like a normal permissive licence. Above it, the licence is not denied — it is converted into a negotiation whose outcome the model’s own publisher controls. That second regime has no counterpart in any license the Open Source Initiative recognises, and it is the specific, cited reason OSI has stated Llama’s…

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Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

L(u)={1,u≤7×108g,u>7×108L(u) = \begin{cases} 1, & u \le 7 \times 10^{8} \\ g, & u > 7 \times 10^{8} \end{cases}

Equation 2 · Open Models

The Hardest Unsolved Problems in Meta, Llama, and Open-Weight AI

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

A minimal formal statement of what this means is worth writing out, because it is easy to read past the word “sole discretion” in prose. Call u a licensee’s monthly active users at release, and define licence validity as L(u)={1,u≤7×108g,u>7×108L(u) = \begin{cases} 1, & u \le 7 \times 10^{8} \\ g, & u > 7 \times 10^{8} \end{cases}. where g ∈\in \{0, 1\} is not a fixed rule but a discretionary grant decided by the licensor after the fact. Below the threshold, “open” behaves like a normal permissive licence. Above it, the licence is not denied — it is converted into a negotiation whose outcome the model’s own publisher controls. That second regime has no counterpart in any license the Open Source Initiative recognises, and it is the specific, cited reason OSI has stated Llama’s…

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