Fix formatting and enhance clarity in Q1 update

Updated formatting and improved clarity in the text.

Author: Becheler

_posts/2026-04-08-Arnaud2026Q1Update.md

@@ -6,7 +6,7 @@ title: Joining Community, Detecting Communities, Making Community.
 author-id: arnaud
 ---
 
-## Joining a community
+## Joining Community
 
 Early in Q1 2026, I joined the C++ Alliance. A very exciting moment.
 
@@ -39,10 +39,10 @@ double Q = boost::louvain_clustering(
 As it happens often with heuristics, there is a large number of quality functions out there, and this is not 
 because of a lack of consensus: in [a 2002 paper](https://www.cs.cornell.edu/home/kleinber/nips15.pdf), 
 computer scientist Jon Kleinberg proved that no clustering quality function 
-(Modularity, Goldberg density, Surprise...) can simultaneously be 
-i) scale-invariant (doubling all edges should not change the clusters), 
-ii) rich (all partitions should be achievable), 
-iii) consistent (shortening distances inside a cluster and expanding distances between clusters should lead to similar results).
+(Modularity, Goldberg density, Surprise...) can simultaneously be:
+1. scale-invariant (doubling all edges should not change the clusters), 
+2. rich (all partitions should be achievable), 
+3. consistent (shortening distances inside a cluster and expanding distances between clusters should lead to similar results).
 
 In other words, there is no way to implement a single function hoping it would exhibit three basic properties we would genuinely expect.
 All we can do is to explore different trade-offs using different quality functions.