Final readthrough corrections of classical fundamentals

src/thesis/chapters/2_fundamentals.tex

@@ -39,7 +39,7 @@ Binary linear block codes form one particularly important class of
 coding schemes.
 The information to be protected is represented by a sequence of
 binary symbols, which is split into separate blocks.
-Then, each block is encoded, transmitted, and decoded separately.
+Each block is encoded, transmitted, and decoded separately.
 The encoding step introduces redundancy by mapping input messages
 $\bm{u} \in \mathbb{F}_2^k$ of length $k \in \mathbb{N}$ (called the
 \textit{information length}) onto \textit{codewords} $\bm{x} \in
@@ -276,10 +276,10 @@ and a \ac{cn} using the index $j \in \mathcal{J}
 := \left[ 0 : m-1 \right]$.
 We can then encode the information contained in the graph by defining
 the neighborhood of a \ac{vn} $i$ as
-$\mathcal{N}_\text{V} (i) = \left\{ j \in \mathcal{J} : \bm{H}_{j,i}
+$\mathcal{N}_\text{V} (i) = \left\{ j \in \mathcal{J} : H_{j,i}
 = 1 \right\}$
 and the neighborhood of a \ac{cn} $j$ as
-$\mathcal{N}_\text{C} (j) = \left\{ i \in \mathcal{I} : \bm{H}_{j,i}
+$\mathcal{N}_\text{C} (j) = \left\{ i \in \mathcal{I} : H_{j,i}
 = 1 \right\}$.
 
 %