the number the tru assigns to every particle — probability of being observed by a random walking neuron. cyberank is focus materialized as a per-particle score

fixed point of the tri-kernel: φ* = norm[λ_d · D(φ) + λ_s · S(φ) + λ_h · H_τ(φ)]. integrates exploration (diffusion), structure (springs), and context (heat kernel). convergence guaranteed by the collective focus theorem

feeds karma, syntropy, standard inference, and sorting in cyb. the fundamental factor of implicit knowledge

see cybergraph/focus/implementation for comparison with pagerank, pseudocode, and display format

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