partially unindent R_{i,j} derivation
so that we're under GitLab's 1000 character limit for rendering maths
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1 changed files with 21 additions and 21 deletions
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@ -40,30 +40,30 @@ advanced as follows:
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```math
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\begin{aligned}
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R_{i,0} &=
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\begin{cases}
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H_0\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\
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R_{i-1,0} &\text{otherwise}
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\end{cases}\\
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\begin{cases}
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H_0\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\
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R_{i-1,0} &\text{otherwise}
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\end{cases}\\
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R_{i,1} &=
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\begin{cases}
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H_1\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\
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H_1\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\
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R_{i-1,1} &\text{otherwise}
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\end{cases}\\
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\begin{cases}
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H_1\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\
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H_1\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\
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R_{i-1,1} &\text{otherwise}
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\end{cases}\\
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R_{i,2} &=
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\begin{cases}
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H_2\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\
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H_2\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\
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H_2\left(R_{2^8(p-1),2}\right) &\text{if }\exists p | i = 2^8p\\
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R_{i-1,2} &\text{otherwise}
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\end{cases}\\
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\begin{cases}
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H_2\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\
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H_2\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\
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H_2\left(R_{2^8(p-1),2}\right) &\text{if }\exists p | i = 2^8p\\
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R_{i-1,2} &\text{otherwise}
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\end{cases}\\
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R_{i,3} &=
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\begin{cases}
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H_3\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\
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H_3\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\
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H_3\left(R_{2^8(p-1),2}\right) &\text{if }\exists p | i = 2^8p\\
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H_3\left(R_{i-1,3}\right) &\text{otherwise}
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\end{cases}
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\begin{cases}
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H_3\left(R_{2^{24}(n-1),0}\right) &\text{if }\exists n | i = 2^{24}n\\
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H_3\left(R_{2^{16}(m-1),1}\right) &\text{if }\exists m | i = 2^{16}m\\
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H_3\left(R_{2^8(p-1),2}\right) &\text{if }\exists p | i = 2^8p\\
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H_3\left(R_{i-1,3}\right) &\text{otherwise}
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\end{cases}
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\end{aligned}
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```
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