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[book] Minor fixes. 

Co-authored-by: Daira Hopwood <daira@jacaranda.org>
This commit is contained in:
therealyingtong 2021-07-25 00:49:34 +08:00
parent c23897ea8d
commit 782a70a786
2 changed files with 5 additions and 2 deletions
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5
book/src/design/circuit/gadgets/decomposition.md
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@ -11,7 +11,10 @@ z_1 &= (z_0 - k_0) / 2^K \\
&= k_1 + 2^{K} \cdot k_2 + 2^{2K} \cdot k_3 + \cdots, \\ &= k_1 + 2^{K} \cdot k_2 + 2^{2K} \cdot k_3 + \cdots, \\
z_2 &= (z_1 - k_1) / 2^K \\ z_2 &= (z_1 - k_1) / 2^K \\
&= k_2 + 2^{K} \cdot k_3 + \cdots, \\ &= k_2 + 2^{K} \cdot k_3 + \cdots, \\
&\vdots &\vdots \\
\downarrow &\text{ (in strict mode)} \\
z_W &= (z_{W-1} - k_{W-1}) / 2^K \\
&= 0 \text{ (because } z_{W-1} = k_{W-1} \text{)}
\end{aligned} \end{aligned}
$$ $$

2
book/src/design/circuit/gadgets/ecc/fixed-base-scalar-mul.md
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@ -19,7 +19,7 @@ $$
\begin{array}{|c|l|} \begin{array}{|c|l|}
\hline \hline
\text{Degree} & \text{Constraint} \\\hline \text{Degree} & \text{Constraint} \\\hline
9 & q_\text{scalar-fixed} \cdot 1 \cdot \left(\sum\limits_{i=0}^7{w - i}\right) = 0 \\\hline 9 & q_\text{scalar-fixed} \cdot \left(\sum\limits_{i=0}^7{w - i}\right) = 0 \\\hline
\end{array} \end{array}
$$ $$