finally right

docs/reference-material/terms.md

@@ -86,20 +86,20 @@ When coding in Ampersand, these operators are typed with characters on the keybo
 
 :::info Note on `hashtag`
 
-`hashtag` used to be pronounced as `cartesian product`. However, this is an incorrect term for this operator.  The Cartesian product of two terms $$R$$ and $$S$$ is defined as the set of all pairs where the first element is a pair from \( R \) and the second element is a pair from \( S \). Mathematically:
+`hashtag` used to be pronounced as `cartesian product`. However, this is an incorrect term for this operator.  The Cartesian product of two terms $$R$$ and $$S$$ is defined as the set of all pairs where the first element is a pair from $$R$$ and the second element is a pair from $$S$$. Mathematically:
 
 $$
 R \times S = \{ ((a, b), (c, d)) \mid (a, b) \in R \text{ and } (c, d) \in S \}.
 $$
 
  ***Explanation***:
-1. **Relation $ R $:** A subset of the Cartesian product of two sets $ A $ and $ B $, i.e., $ R \subseteq A \times B $.
-2. **Relation $ S $:** A subset of the Cartesian product of two sets $$C$$ and $$D$$, i.e., $$S \subseteq C \times D$$.
+1. **Relation $$R$$:** A subset of the Cartesian product of two sets $$A$$ and $$B$$, i.e., $$R \subseteq A \times B$$.
+2. **Relation $$S$$:** A subset of the Cartesian product of two sets $$C$$ and $$D$$, i.e., $$S \subseteq C \times D$$.
 
-The Cartesian product $$ R \times S $$ forms a new term in which each element is a pair of pairs: one pair from $$R$$ and another pair from $$S$$.
+The Cartesian product $$R \times S$$ forms a new term in which each element is a pair of pairs: one pair from $$R$$ and another pair from $$S$$.
 
 ***Example***:
-Let $$ R = \{(1, 2), (3, 4)\} $$ and $$ S = \{(5, 6), (7, 8)\} $$. Then:
+Let $$R = \{(1, 2), (3, 4)\}$$ and $$S = \{(5, 6), (7, 8)\}$$. Then:
 
 $$
 R \times S = \{((1, 2), (5, 6)), ((1, 2), (7, 8)), ((3, 4), (5, 6)), ((3, 4), (7, 8))\}.