Equation 18 · Part 9 · The Type Chart Is a Payoff Matrix, and the Metagame Only Half-Solves It
Starting index or lower bound: i
What this part means
This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.
Its job in the formula
i appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.
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The passage around this formula
Scoring the fit with Kullback–Leibler divergence, = , from the observed August distribution to each candidate: the solved game scores 10.15 bits, the uniform null scores 0.045 bits, and July’s raw persistence scores 0.00068 bits. On a chi-square test against the eight species’ actual August battle counts (summing to 2,137,239 team-appearances, treating each candidate distribution as the expected shares), the solved game scores approximately 2.310^{13} — a figure that large only because the model assigns four real, frequently-played species an expected share of essentially zero, and squaring a large real count against a near-zero…
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Σ adds a collection of terms. Π multiplies them. The lower and upper labels tell you which terms belong to the collection.
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