What does this equation mean?

Before asking whether DeepSeek V3 inherited anything, the word inherited needs an operational meaning that does not depend on which side of the dispute one already believes. Call a trait $\mathcal{T}$ any response property specific enough that an independently trained model, working from a similar task distribution but with no exposure to the artifact under study, would be expected to produce it only rarely. “Answers politely” is not a trait by this definition, since every instruction-tuned model does that and its presence explains nothing. “Names itself as a product of a specific company it was not built by” is closer to a workable trait: no ordinary training objective rewards a model for claiming a false corporate parent, so a model that does it at a stable, non-trivial frequency needs an explanation beyond ordinary competence.