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feat: add more on readme. #3

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a86d5fb
chore: optimize readme
SuccinctPaul Jul 26, 2024
b89d96b
Merge branch 'sigma0-xyz:main' into feat/optimize_doc
SuccinctPaul Aug 28, 2024
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4 changes: 3 additions & 1 deletion README.md
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Expand Up @@ -83,7 +83,9 @@ $$

where
- matrices $\mathbf{U}, \mathbf{W} \in \mathbb{F}^{n \times m}$ encode the constraints,
- $m_0$ is the size of the public input,
- m is the number of variables
- n be the number of constraints
- $m_0$ is the number of the public input ( $m_0 \le m$ )
- vector $\mathbb{z} = (\mathbb{x}||\mathbb{w}) \in \mathbb{F}^m$ is a concatenation of public input $\mathbb{x}\in\mathbb{F}^{m_0}$ and witness $\mathbb{w}\in\mathbb{F}^{m - m_0}$,
- vector $\mathbb{x}\in\mathbb{F}^{m_0}$, by convention, has $1$ as it's first element: $\mathbb{x}_0 = 1$,
- $(\mathbf{U}\mathbb{z})^2$ is element-wise squaring of the vector $\mathbf{U}\mathbb{z}$ elements (Hadamard product).
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