Write a relational algebra expression that produces a result table with the following format:

$($student$\_$id$,$ student$\_$name, course$\_$title, course$\_$id$,$ sec$\_$id$,$ semester, year, instructor$\_$id$,$ instructor$\_$name$)$

student$\_$id is a student's ID $($student$.$ID$)$

student$\_$name is a student's name $($student$.$name$)$

course$\_$title $($course$.$title$)$

The following columns are common to section, takes, teaches:

course$\_$id

sec$\_$id

semester

year

instructor$\_$id is an instructor's ID $($instructor$.$ID$)$

instructor$\_$name is an instructor's name $($instructor$.$name$)$

This derived relation represents student that took a section and the instructor taught the section.