From 6717594c469ce8fdf25857a6e7c71ba0eb683138 Mon Sep 17 00:00:00 2001
From: Jack Grigg <jack@electriccoin.co>
Date: Fri, 19 Feb 2021 01:13:16 +0000
Subject: [PATCH] book: Render gtab and invtab as matrices

---
 book/src/background/fields.md | 19 ++++++++++++-------
 1 file changed, 12 insertions(+), 7 deletions(-)

diff --git a/book/src/background/fields.md b/book/src/background/fields.md
index 11ec413..779ef08 100644
--- a/book/src/background/fields.md
+++ b/book/src/background/fields.md
@@ -269,13 +269,18 @@ Let $x_3 = uv^2, x_2 = x_3^{2^8}, x_1 = x_2^{2^8}, x_0 = x_1^{2^8}.$
 
 #### Precompute the following tables:
 $$
-\begin{array}{l}
-gtab[0] = g^0, g^1, ..., g^{255} \\
-gtab[1] = (g^{2^8})^0, (g^{2^8})^1, ..., (g^{2^8})^{255} \\
-gtab[2] = (g^{2^{16}})^0, (g^{2^{16}})^1, ..., (g^{2^{16}})^{255} \\
-gtab[3] = (g^{2^{24}})^0, (g^{2^{24}})^1, ..., (g^{2^{24}})^{255} \\
-invtab = (g^{2^{-24}})^0, (g^{2^{-24}})^1, ..., (g^{2^{-24}})^{255} \\
-\end{array}
+gtab = \begin{bmatrix}
+g^0 & g^1 & ... & g^{255} \\
+(g^{2^8})^0 & (g^{2^8})^1 & ... & (g^{2^8})^{255} \\
+(g^{2^{16}})^0 & (g^{2^{16}})^1 & ... & (g^{2^{16}})^{255} \\
+(g^{2^{24}})^0 & (g^{2^{24}})^1 & ... & (g^{2^{24}})^{255}
+\end{bmatrix}
+$$
+
+$$
+invtab = \begin{bmatrix}
+(g^{2^{-24}})^0 & (g^{2^{-24}})^1 & ... & (g^{2^{-24}})^{255}
+\end{bmatrix}
 $$
 
 ### i = 0, 1