Enhance documentation for output redirection

Clarified the explanation of the '>' operator and its behavior with file redirection. Added examples and details about standard output and error handling.

Author: TropicolX

stage_descriptions/redirection-01-jv1.md

@@ -1,34 +1,77 @@
-In this stage, you'll implement support for redirecting the output of a command to a file.
+In this stage, you'll implement support for redirecting a command's output to a file.
 
-### The `1>` Operator
+### The `>` Operator
 
-The `1>` operator is used to redirect the output of a command to a file.
-But, as a special case, if the file descriptor is not specified before the operator `>`, the output is redirected to the standard output by default, so `>` is equivalent to `1>`.
+The `>` operator redirects the standard output of a command to a file. When you use `>`, the output that would normally appear on the terminal is instead written to the specified file.
 
-Learn more about [Redirecting Output](https://www.gnu.org/software/bash/manual/bash.html#Redirecting-Output).
+If the file doesn't exist, it is created. If the file already exists, it is overwritten (replacing its old contents).
 
-### Tests
+For example:
+
+```bash
+$ echo hello > output.txt
+$ cat output.txt
+hello
+```
 
-The tester will execute your program like this:
+### File Descriptor Notation
+
+In Unix, standard output is identified by the number `1`. You can explicitly write `1>` to redirect standard output:
 
 ```bash
-./your_program.sh
+$ echo hello 1> file.txt
 ```
 
-It will then send a series of commands to your shell, executing commands, and redirecting their output to a file:
+However, since redirecting standard output is so common, the shell allows you to omit the `1` and just write `>`:
+
+```bash
+$ echo hello > file.txt
+```
+
+Both commands do exactly the same thing. The `>` is shorthand for `1>`.
+
+### Error Output Is Not Redirected
+
+The `>` operator only redirects standard output, not standard error. If a command produces error messages, they still appear on the terminal:
+
+```bash
+$ cat nonexistent > output.txt
+cat: nonexistent: No such file or directory
+$ cat output.txt
+$ 
+```
+
+The error message appears on the terminal, and `output.txt` is empty (or contains only the non-error output if there was any).
+
+### Tests
+
+The tester will execute your program:
+```bash
+$ ./your_program.sh
+```
+
+It will then send a series of commands to your shell and redirect their output to a file:
 
 ```bash
 $ ls /tmp/baz > /tmp/foo/baz.md
 $ cat /tmp/foo/baz.md
 apple
 blueberry
+
 $ echo 'Hello James' 1> /tmp/foo/foo.md
 $ cat /tmp/foo/foo.md
 Hello James
+
 $ cat /tmp/baz/blueberry nonexistent 1> /tmp/foo/quz.md
 cat: nonexistent: No such file or directory
 $ cat /tmp/foo/quz.md
 blueberry
 ```
 
-The tester will check if the commands are executed correctly and redirect their output to a file as specified. The file contents will also be checked for correctness.
+The tester will verify that:
+- Commands with `>` redirect their standard output to the specified file.
+- Commands with `1>` work identically to `>`.
+- Files are created if they don't exist.
+- Error messages still appear on the terminal (not redirected).
+- Only standard output is written to the file.
+