Succinct: typos

fs-succinct/succinct.tex

@@ -240,7 +240,8 @@ with the property that when $(m,s) = f(x,y)$, $s$ depends only on $x$. This is t
 that allows local decoding and modification because carry does not cascade.
 
 Internally, the a mixer is
-always implemented as a composition of two mappings, $f_1$ that transforms $x \rightarrow (c,s)$ and $f2$
+always implemented as a composition of two mappings, $f_1$ that transforms $x \rightarrow
+(c,s)$ and $f_2$
 that transforms $(y,c) \rightarrow m$. See fig. \figref{mixer}. Both $f_1$ and $f_2$ must be injective
 so that the encoding is reversible.
 
@@ -385,7 +386,7 @@ of all the mixer parameters -- i.e., a table with $\Theta(n/\log_\Sigma n)$ rows
 That is impractical.
 
 Note that this was not an issue for sole as there the $Y_i$'s formed an arithmetic
-sequence. The weren't even the optimal $Y_i$'s that would be created by the generic
+sequence. They weren't even the optimal $Y_i$'s that would be created by the generic
 mixer construction but a close enough approximation that still yielded good results,
 up to an additive constant. That was a special case -- in general, we do now know
 how to approximate the mixer parameters by something easier to compute locally.