fix: minor

Author: mmilanta

personal-website/dist/optimal-tennis-match/index.html

@@ -173,10 +173,9 @@ <h2 class="font-serif text-2xl">Are we playing tennis right?</h2>
             While the amplification effect of a tennis match is quite remarkable, this can largely be explained by the fact that a tennis match lasts much longer. For this reason we now look into tiebreakers that lasts roughly as long as a tennis match?
             Would it amplify skill differences better or worse?
           </p>
-
-          <p>
-            However, to make 
-            However a tennis match can technically last forever due to advantages. And on top, how can we directly compare the amplification effect of two different game structures? To go beyond an handweavy intuition, we need to introduce two key quantities: <strong>fairness</strong> and
+<p>
+          However, comparing match structures is not straightforward.
+A tennis match can technically last forever because of advantages, and on top, how do we directly compare the amplification effect of two different game structures? To go beyond a hand-weavy intuition, we need to introduce two key quantities: <strong>fairness</strong> and
             <strong>expected match length</strong>.
           </p>
         </section>
@@ -247,8 +246,7 @@ <h2 class="font-serif text-2xl">The Tradeoff</h2>
 
           <p>
             This format is shown as the star in Figure 2. Surprisingly, it falls below the tiebreaker curve.
-            This means that a 91-point tiebreaker would be about as fair as a normal tennis match but would take
-            slightly longer, while an 87-point tiebreaker would last about the same as a tennis match but be less fair.
+            In other words, if we replaced the match by a single tiebreaker of the same expected length (about 87 points), the result would actually be less fair.
           </p>
           <div class="flex justify-center">
             <div class="flex flex-col items-center gap-6 max-w-full">

personal-website/optimal-tennis-match/index.html

@@ -173,7 +173,7 @@ <h2 class="font-serif text-2xl">Are we playing tennis right?</h2>
           </p>
 <p>
           However, comparing match structures is not straightforward.
-A tennis match can technically last forever because of advantages, and different formats have different average durations.And on top, how can we directly compare the amplification effect of two different game structures? To go beyond an handweavy intuition, we need to introduce two key quantities: <strong>fairness</strong> and
+A tennis match can technically last forever because of advantages, and on top, how do we directly compare the amplification effect of two different game structures? To go beyond a hand-weavy intuition, we need to introduce two key quantities: <strong>fairness</strong> and
             <strong>expected match length</strong>.
           </p>
         </section>
@@ -244,8 +244,7 @@ <h2 class="font-serif text-2xl">The Tradeoff</h2>
 
           <p>
             This format is shown as the star in Figure 2. Surprisingly, it falls below the tiebreaker curve.
-            This means that a 91-point tiebreaker would be about as fair as a normal tennis match but would take
-            slightly longer, while an 87-point tiebreaker would last about the same as a tennis match but be less fair.
+            In other words, if we replaced the match by a single tiebreaker of the same expected length (about 87 points), the result would actually be less fair.
           </p>
           <div class="flex justify-center">
             <div class="flex flex-col items-center gap-6 max-w-full">