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The following commit(s) were added to refs/heads/main by this push:
     new 28ace851e0 Minor optimizations to the document
28ace851e0 is described below

commit 28ace851e0afb9a4922bf25a821b86cd46e151b2
Author: Zhen Chen <[email protected]>
AuthorDate: Fri Dec 19 15:05:15 2025 +0800

    Minor optimizations to the document
---
 site/_docs/algebra.md            | 35 ++++++++--------
 site/_docs/materialized_views.md | 88 ++++++++++++++++++++--------------------
 2 files changed, 61 insertions(+), 62 deletions(-)

diff --git a/site/_docs/algebra.md b/site/_docs/algebra.md
index 30a6b8175b..ed4b9cc962 100644
--- a/site/_docs/algebra.md
+++ b/site/_docs/algebra.md
@@ -155,7 +155,6 @@ ### Push and pop
 building a bushy join:
 
 {% highlight text %}
-.
                join
              /      \
         join          join
@@ -212,8 +211,8 @@ ### Field names and ordinals
 
 The field names of an operator are guaranteed to be unique, but sometimes that
 means that the names are not exactly what you expect. For example, when you
-join EMP to DEPT, one of the output fields will be called DEPTNO and another
-will be called something like DEPTNO_1.
+join `EMP` to `DEPT`, one of the output fields will be called `DEPTNO` and 
another
+will be called something like `DEPTNO_1`.
 
 Some relational expression methods give you more control over field names:
 
@@ -239,39 +238,39 @@ ### Field names and ordinals
 you need to build field references that take that into account. This occurs
 most often when building join conditions.
 
-Suppose you are building a join on EMP,
-which has 8 fields [EMPNO, ENAME, JOB, MGR, HIREDATE, SAL, COMM, DEPTNO]
-and DEPT,
-which has 3 fields [DEPTNO, DNAME, LOC].
+Suppose you are building a join on `EMP`,
+which has 8 fields [`EMPNO`, `ENAME`, `JOB`, `MGR`, `HIREDATE`, `SAL`, `COMM`, 
`DEPTNO`]
+and `DEPT`,
+which has 3 fields [`DEPTNO`, `DNAME`, `LOC`].
 Internally, Calcite represents those fields as offsets into
 a combined input row with 11 fields: the first field of the left input is
-field #0 (0-based, remember), and the first field of the right input is
-field #8.
+field `#0 (0-based, remember)`, and the first field of the right input is
+field `#8`.
 
 But through the builder API, you specify which field of which input.
-To reference "SAL", internal field #5,
+To reference `SAL`, internal field `#5`,
 write `builder.field(2, 0, "SAL")`, `builder.field(2, "EMP", "SAL")`,
 or `builder.field(2, 0, 5)`.
-This means "the field #5 of input #0 of two inputs".
+This means "the field `#5` of input `#0` of two inputs".
 (Why does it need to know that there are two inputs? Because they are stored on
-the stack; input #1 is at the top of the stack, and input #0 is below it.
+the stack; input `#1` is at the top of the stack, and input `#0` is below it.
 If we did not tell the builder that were two inputs, it would not know how deep
-to go for input #0.)
+to go for input `#0`.)
 
-Similarly, to reference "DNAME", internal field #9 (8 + 1),
+Similarly, to reference `DNAME`, internal field `#9 (8 + 1)`,
 write `builder.field(2, 1, "DNAME")`, `builder.field(2, "DEPT", "DNAME")`,
 or `builder.field(2, 1, 1)`.
 
 ### Recursive Queries
 
 Warning: The current API is experimental and subject to change without notice.
-A SQL recursive query, e.g. this one that generates the sequence 1, 2, 3, 
...10:
+A SQL recursive query, e.g. this one that generates the sequence 1, 2, 3, ..., 
10:
 
 {% highlight sql %}
 WITH RECURSIVE aux(i) AS (
   VALUES (1)
   UNION ALL
-  SELECT i+1 FROM aux WHERE i < 10
+  SELECT i + 1 FROM aux WHERE i < 10
 )
 SELECT * FROM aux
 {% endhighlight %}
@@ -413,7 +412,7 @@ #### Scalar expression methods
 ([RexNode]({{ site.apiRoot }}/org/apache/calcite/rex/RexNode.html)).
 
 Many of them use the contents of the stack. For example, `field("DEPTNO")`
-returns a reference to the "DEPTNO" field of the relational expression just
+returns a reference to the `DEPTNO` field of the relational expression just
 added to the stack.
 
 | Method              | Description
@@ -448,7 +447,7 @@ #### Sub-query methods
 
 The following methods convert a sub-query into a scalar value (a `BOOLEAN` in
 the case of `in`, `exists`, `some`, `all`, `unique`;
-any scalar type for `scalarQuery`).
+any scalar type for `scalarQuery`),
 an `ARRAY` for `arrayQuery`,
 a `MAP` for `mapQuery`,
 and a `MULTISET` for `multisetQuery`).
diff --git a/site/_docs/materialized_views.md b/site/_docs/materialized_views.md
index 419835fa8b..7d5862847f 100644
--- a/site/_docs/materialized_views.md
+++ b/site/_docs/materialized_views.md
@@ -77,7 +77,7 @@ ##### Rewriting coverage
 
 Let us illustrate with some examples the coverage of the view rewriting 
algorithm implemented in `MaterializedViewRule`. The examples are based on the 
following database schema.
 
-```sql
+{% highlight sql %}
 CREATE TABLE depts(
   deptno INT NOT NULL,
   deptname VARCHAR(20),
@@ -98,7 +98,7 @@ ##### Rewriting coverage
   FOREIGN KEY (deptno) REFERENCES depts(deptno),
   FOREIGN KEY (locationid) REFERENCES locations(locationid)
 );
-```
+{% endhighlight %}
 
 ###### Join rewriting
 
@@ -106,7 +106,7 @@ ###### Join rewriting
 
 * Query:
 
-```sql
+{% highlight sql %}
 SELECT empid
 FROM depts
 JOIN (
@@ -114,80 +114,80 @@ ###### Join rewriting
   FROM emps
   WHERE empid = 1) AS subq
 ON depts.deptno = subq.deptno
-```
+{% endhighlight %}
 
 * Materialized view definition:
 
-```sql
+{% highlight sql %}
 SELECT empid
 FROM emps
 JOIN depts USING (deptno)
-```
+{% endhighlight %}
 
 * Rewriting:
 
-```sql
+{% highlight sql %}
 SELECT empid
 FROM mv
 WHERE empid = 1
-```
+{% endhighlight %}
 
 
 ###### Aggregate rewriting
 
 * Query:
 
-```sql
+{% highlight sql %}
 SELECT deptno
 FROM emps
 WHERE deptno > 10
 GROUP BY deptno
-```
+{% endhighlight %}
 
 * Materialized view definition:
 
-```sql
+{% highlight sql %}
 SELECT empid, deptno
 FROM emps
 WHERE deptno > 5
 GROUP BY empid, deptno
-```
+{% endhighlight %}
 
 * Rewriting:
 
-```sql
+{% highlight sql %}
 SELECT deptno
 FROM mv
 WHERE deptno > 10
 GROUP BY deptno
-```
+{% endhighlight %}
 
 
 ###### Aggregate rewriting (with aggregation rollup)
 
 * Query:
 
-```sql
+{% highlight sql %}
 SELECT deptno, COUNT(*) AS c, SUM(salary) AS s
 FROM emps
 GROUP BY deptno
-```
+{% endhighlight %}
 
 * Materialized view definition:
 
-```sql
+{% highlight sql %}
 SELECT empid, deptno, COUNT(*) AS c, SUM(salary) AS s
 FROM emps
 GROUP BY empid, deptno
-```
+{% endhighlight %}
 
 * Rewriting:
 
-```sql
+{% highlight sql %}
 SELECT deptno, SUM(c), SUM(s)
 FROM mv
 GROUP BY deptno
-```
+{% endhighlight %}
 
 
 ###### Query partial rewriting
@@ -196,84 +196,84 @@ ###### Query partial rewriting
 
 * Query:
 
-```sql
+{% highlight sql %}
 SELECT deptno, COUNT(*)
 FROM emps
 GROUP BY deptno
-```
+{% endhighlight %}
 
 * Materialized view definition:
 
-```sql
+{% highlight sql %}
 SELECT empid, depts.deptno, COUNT(*) AS c, SUM(salary) AS s
 FROM emps
 JOIN depts USING (deptno)
 GROUP BY empid, depts.deptno
-```
+{% endhighlight %}
 
 * Rewriting:
 
-```sql
+{% highlight sql %}
 SELECT deptno, SUM(c)
 FROM mv
 GROUP BY deptno
-```
+{% endhighlight %}
 
 
 ###### View partial rewriting
 
 * Query:
 
-```sql
+{% highlight sql %}
 SELECT deptname, state, SUM(salary) AS s
 FROM emps
 JOIN depts ON emps.deptno = depts.deptno
 JOIN locations ON emps.locationid = locations.locationid
 GROUP BY deptname, state
-```
+{% endhighlight %}
 
 * Materialized view definition:
 
-```sql
+{% highlight sql %}
 SELECT empid, deptno, state, SUM(salary) AS s
 FROM emps
 JOIN locations ON emps.locationid = locations.locationid
 GROUP BY empid, deptno, state
-```
+{% endhighlight %}
 
 * Rewriting:
 
-```sql
+{% highlight sql %}
 SELECT deptname, state, SUM(s)
 FROM mv
 JOIN depts ON mv.deptno = depts.deptno
 GROUP BY deptname, state
-```
+{% endhighlight %}
 
 
 ###### Union rewriting
 
 * Query:
 
-```sql
+{% highlight sql %}
 SELECT empid, deptname
 FROM emps
 JOIN depts ON emps.deptno = depts.deptno
 WHERE salary > 10000
-```
+{% endhighlight %}
 
 * Materialized view definition:
 
-```sql
+{% highlight sql %}
 SELECT empid, deptname
 FROM emps
 JOIN depts ON emps.deptno = depts.deptno
 WHERE salary > 12000
-```
+{% endhighlight %}
 
 * Rewriting:
 
-```sql
+{% highlight sql %}
 SELECT empid, deptname
 FROM mv
 UNION ALL
@@ -281,34 +281,34 @@ ###### Union rewriting
 FROM emps
 JOIN depts ON emps.deptno = depts.deptno
 WHERE salary > 10000 AND salary <= 12000
-```
+{% endhighlight %}
 
 
 ###### Union rewriting with aggregate
 
 * Query:
 
-```sql
+{% highlight sql %}
 SELECT empid, deptname, SUM(salary) AS s
 FROM emps
 JOIN depts ON emps.deptno = depts.deptno
 WHERE salary > 10000
 GROUP BY empid, deptname
-```
+{% endhighlight %}
 
 * Materialized view definition:
 
-```sql
+{% highlight sql %}
 SELECT empid, deptname, SUM(salary) AS s
 FROM emps
 JOIN depts ON emps.deptno = depts.deptno
 WHERE salary > 12000
 GROUP BY empid, deptname
-```
+{% endhighlight %}
 
 * Rewriting:
 
-```sql
+{% highlight sql %}
 SELECT empid, deptname, SUM(s)
 FROM (
   SELECT empid, deptname, s
@@ -320,7 +320,7 @@ ###### Union rewriting with aggregate
   WHERE salary > 10000 AND salary <= 12000
   GROUP BY empid, deptname) AS subq
 GROUP BY empid, deptname
-```
+{% endhighlight %}
 
 
 ##### Limitations

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