Empirical Distribution of Individuals Formulation (Q6674458)

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empirical distribution of individuals that follow a medium and influencer
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Empirical Distribution of Individuals Formulation
empirical distribution of individuals that follow a medium and influencer

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    Empirical distribution of individuals that follow a medium 𝑚 and influencer 𝑙 at time 𝑡 by the sum of Dirac delta distributions δ placed at the individuals’ opinions. This distribution describes the stochastic opinion instances at a given time and integrates to ∫ᴰ ρₘ,ₗ⁽ᴺ⁾(𝑥, 𝑡) 𝑑𝑥 ≔ 𝑛ₘ,ₗ⁽ᴺ⁾(𝑡), the proportion of individuals that follow medium 𝑚 and influencer 𝑙.
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    ρm,l(N)(x,t)=1Ni:Bim=1Cil(t)=1δ(xxi(t))
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