$$ \rho_{Y \leftarrow X}R $$
Example 1:
Collect all the IDs in university
$\rho_{student \leftarrow SIds} \cup \rho_{Professor \leftarrow ProfIds}$
Example 2:

Filter some tuples on the base of Property $F$
$\sigma_F(R)$ \\sigma_F(R)where
$F$ is cardinality depends on the property
$R$ is schema
Produce results over a subset of the attributes of the operand, with values from all its tuples
$\pi_Y(R)$ \\pi_Y(R) where
Given a relation $R(X)$, $Y$ is a subset of X
$R$ is schema
Example:
| SID | Name | Surname | Country |
|---|---|---|---|
| VR1 | ANNA | B | IT |
| VR2 | LUCA | R | IT |
| VR3 | JOHN | S | US |
| VR4 | GIULIA | J | RU |
| VR5 | ANTONIA | K | BE |
$\sigma_{\texttt{Country="IT"}}(Student)$
| SID | Name | Surname | Country |
|---|---|---|---|
| VR1 | ANNA | B | IT |
| VR2 | LUCA | R | IT |