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authorHubert Chathi <hubert@uhoreg.ca>2020-09-17 17:46:37 -0400
committerHubert Chathi <hubert@uhoreg.ca>2020-09-17 17:46:37 -0400
commit4bae4134eb115859038de4e8eab11b22baf80b0c (patch)
treed48a69cf7b47f9abfb00df90dff8e21fc0781b3f /docs/megolm.md
parent84841a19e21f23a4ae0ea804156a318a112c691c (diff)
partially unindent R_{i,j} derivation
so that we're under GitLab's 1000 character limit for rendering maths
Diffstat (limited to 'docs/megolm.md')
-rw-r--r--docs/megolm.md42
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}
```