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fix equation
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oliviasaa committed Mar 28, 2024
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Expand Up @@ -9,8 +9,9 @@ The first and most straighforward contraint is that the total maximum theoretica
Let's start by calculating the Mana in the system generated by holding tokens $\text{Mana Holders}(n)$ until epoch $n$.

$$
\text{Mana Holders}(n)=\frac{\text{Token Supply}*\text{Generation Rate}}{1-\text{Decay per Epoch}}* 2^{\text{Slots per Epoch Exp}-\text{Generation Rate Exp}} (1-\text{Decay per Epoch}^{n+1})
\text{Mana Holders}(n)=\frac{\text{Token Supply}*\text{Generation Rate}}{1-\text{Decay per Epoch}}* 2^{\text{Slots per Epoch Exp}-\text{Generation Rate Exp}} (1-\text{Decay per Epoch}^{n+1})
$$

with $\text{Decay per Epoch}=\text{Decay per Year}^{\frac{\text{Seconds per Epoch}}{\text{Seconds per Year}}}$.

The maximum Mana in the system generated by holding tokens $\text{Max Mana Holders}$ is equivalent to the potential Mana generated by an output holding $\text{Token Supply}$ IOTA coins until epoch $n$, for $n$ large enough. This results:
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