Questions: College CollegeName City StateCode Enrollment Bowdoin Brunswick ME 1828 Emory Atlanta GA 14769 Tufts Medford MA 10872 Rice Houston TX 6740 State StateCode StateName CapitalCity ME Maine Augusta TX Texas Austin MA Massachusetts Boston GA Georgia Atlanta Complete the following relational algebra expression to generate the Result table: Π(CollegeName, StateName) σ((A-))(College Φ((B-)) State) Result CollegeName StateName Bowdoin Maine

To complete the relational algebra expression to generate the Result table, we need to understand the requirements and the given data.

1. College Table:

   | CollegeName | City      | StateCode | Enrollment |
   |-------------|-----------|-----------|------------|
   | Bowdoin     | Brunswick | ME        | 1828       |
   | Emory       | Atlanta   | GA        | 14769      |
   | Tufts       | Medford   | MA        | 10872      |
   | Rice        | Houston   | TX        | 6740       |
   

2. State Table:

   | StateCode | StateName      | CapitalCity |
   |-----------|----------------|-------------|
   | ME        | Maine          | Augusta     |
   | TX        | Texas          | Austin      |
   | MA        | Massachusetts  | Boston      |
   | GA        | Georgia        | Atlanta     |
   

3. Result Table:

   | CollegeName | StateName |
   |-------------|-----------|
   | Bowdoin     | Maine     |
   

We need to generate a table with CollegeName and StateName where the CollegeName is "Bowdoin".

1. Join the College and State tables on StateCode: \[ \text{College} \bowtie_{\text{College.StateCode} = \text{State.StateCode}} \text{State} \]

2. Select the row where CollegeName is "Bowdoin": \[ \sigma_{\text{CollegeName} = 'Bowdoin'} \]

3. Project the required columns CollegeName and StateName: \[ \Pi_{\text{CollegeName, StateName}} \]

\[ \Pi_{\text{CollegeName, StateName}} \sigma_{\text{CollegeName} = 'Bowdoin'} (\text{College} \bowtie_{\text{College.StateCode} = \text{State.StateCode}} \text{State}) \]

• Join Operation (\(\bowtie\)): Combines the College and State tables based on the matching StateCode.
• Selection Operation (\(\sigma\)): Filters the rows to include only those where CollegeName is "Bowdoin".
• Projection Operation (\(\Pi\)): Selects only the CollegeName and StateName columns for the final result.

The complete relational algebra expression to generate the Result table is: \[ \Pi_{\text{CollegeName, StateName}} \sigma_{\text{CollegeName} = 'Bowdoin'} (\text{College} \bowtie_{\text{College.StateCode} = \text{State.StateCode}} \text{State}) \]