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| -rw-r--r-- | docs/megolm.md | 42 |
1 files changed, 21 insertions, 21 deletions
diff --git a/docs/megolm.md b/docs/megolm.md index d2372a2..2853ef3 100644 --- a/docs/megolm.md +++ b/docs/megolm.md @@ -40,30 +40,30 @@ advanced as follows: ```math \begin{aligned} R_{i,0} &= - \begin{cases} - H_0\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\ - R_{i-1,0} &\text{otherwise} - \end{cases}\\ + \begin{cases} + H_0\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\ + R_{i-1,0} &\text{otherwise} + \end{cases}\\ R_{i,1} &= - \begin{cases} - H_1\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\ - H_1\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\ - R_{i-1,1} &\text{otherwise} - \end{cases}\\ + \begin{cases} + H_1\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\ + H_1\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\ + R_{i-1,1} &\text{otherwise} + \end{cases}\\ R_{i,2} &= - \begin{cases} - H_2\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\ - H_2\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\ - H_2\left(R_{2^8(p-1),2}\right) &\text{if }\exists p | i = 2^8p\\ - R_{i-1,2} &\text{otherwise} - \end{cases}\\ + \begin{cases} + H_2\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\ + H_2\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\ + H_2\left(R_{2^8(p-1),2}\right) &\text{if }\exists p | i = 2^8p\\ + R_{i-1,2} &\text{otherwise} + \end{cases}\\ R_{i,3} &= - \begin{cases} - H_3\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\ - H_3\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\ - H_3\left(R_{2^8(p-1),2}\right) &\text{if }\exists p | i = 2^8p\\ - H_3\left(R_{i-1,3}\right) &\text{otherwise} - \end{cases} + \begin{cases} + H_3\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\ + H_3\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\ + H_3\left(R_{2^8(p-1),2}\right) &\text{if }\exists p | i = 2^8p\\ + H_3\left(R_{i-1,3}\right) &\text{otherwise} + \end{cases} \end{aligned} ``` |