Commit 4bae4134 by Hubert Chathi

### partially unindent R_{i,j} derivation

so that we're under GitLab's 1000 character limit for rendering maths
parent 84841a19
 ... @@ -40,30 +40,30 @@ advanced as follows: ... @@ -40,30 +40,30 @@ advanced as follows: math math \begin{aligned} \begin{aligned} R_{i,0} &= R_{i,0} &= \begin{cases} \begin{cases} H_0\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\ H_0\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\ R_{i-1,0} &\text{otherwise} R_{i-1,0} &\text{otherwise} \end{cases}\\ \end{cases}\\ R_{i,1} &= R_{i,1} &= \begin{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^{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\\ H_1\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\ R_{i-1,1} &\text{otherwise} R_{i-1,1} &\text{otherwise} \end{cases}\\ \end{cases}\\ R_{i,2} &= R_{i,2} &= \begin{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^{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^{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\\ H_2\left(R_{2^8(p-1),2}\right) &\text{if }\exists p | i = 2^8p\\ R_{i-1,2} &\text{otherwise} R_{i-1,2} &\text{otherwise} \end{cases}\\ \end{cases}\\ R_{i,3} &= R_{i,3} &= \begin{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^{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^{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_{2^8(p-1),2}\right) &\text{if }\exists p | i = 2^8p\\ H_3\left(R_{i-1,3}\right) &\text{otherwise} H_3\left(R_{i-1,3}\right) &\text{otherwise} \end{cases} \end{cases} \end{aligned} \end{aligned}   ... ...
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