For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–
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2 Pith papers cite this work. Polarity classification is still indexing.
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Joint exclusivity extends mutual exclusivity with a sharp existence condition sum of marginal survival functions at zero at most n-1, a canonical construction on lower-dimensional faces, and a link to joint mixability.
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Solving linear-rate ODE hierarchies (like master equations) using closures and operator splitting
For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–
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Joint Exclusivity
Joint exclusivity extends mutual exclusivity with a sharp existence condition sum of marginal survival functions at zero at most n-1, a canonical construction on lower-dimensional faces, and a link to joint mixability.