From 510f8e29963cf8992d75aa1d42edc6b8267f669a Mon Sep 17 00:00:00 2001 From: oliviasaa Date: Thu, 28 Mar 2024 15:16:39 +0000 Subject: [PATCH] fix equation --- tips/TIP-0040/constraints.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/tips/TIP-0040/constraints.md b/tips/TIP-0040/constraints.md index bb50c7369..c2407ed41 100644 --- a/tips/TIP-0040/constraints.md +++ b/tips/TIP-0040/constraints.md @@ -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: