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1. Consider the following three database schemas: Employee (person_name, street, city) Work (person_name, company_name, salary) Company (company_name, city)1) please write the queries in relational algebra(关系代数) according to the description:a. find out the name of all employees in city cq;b. Find out the name and salary of all employees in corporation A;c. Find out the name and city of all employees in corporation B;2) Optimize the relational algebra expression C in 1), draw the optimized relational algebra expression tree.2. Consider the following three database schemas: Customers (cust_id, cust_name, cust_address,cust_phone ) Products (prod_id, prod_name, prod_type, prod_price, prod_number) Orders (order_id, cust_id, prod_id, number)1) Please write the following queries in SQL:a. Find out the name of products whose price is higher than 100.b. Find out the order number of customer Tom.2) Create a view to complete the following function: statistics the quantity of each type (prod type) inventory(库存) Products.3) Create a product table which defines the primary key, and make sure that Prod_type must be one of “television”, ”refrigerator” and ”washing machine”.3. Design an E/R diagram for Bar. Both red wine and beer are supplied in Bar. Customers drink in the Bar. And the translate the E/R mode into relational model. Bar has name and address ,customers has name and birthday and all wines have manufacturer and brand.4. The functional dependency set F from relation R(A,B,C,D,E,F) is shown as follows: F = A-E, B-D, CE-F, F-BCCalculate the closure(闭包) for attribute set AF.5. A B+ tree structure is shown in Fogure 1. G J E J K G E A B Figure 11) Write the modes from querying path between the root and the key value ”K”;2) Draw B+ tree after insert key value “H” based on Figure 1;3) Draw B+ tree after insert key value “D” based on Figure 1.6. Describe explicitly the ACID properties of Transactions.7. You can select one of the following questions to answer.1) Set fire transactions, T1, T2, T3, T4, T5 whose timestamps are 1, 2, 3, 4, 5 respectively .Fill in the blank of table 1 according to Timestamp-Based Protocols. “abort” is filled when operation is rejected. (Initial R-timestamp and W-timestamp is set too) Table 1A partial scheduleR-timestamp,W-timestamp Or abort T1 T2 T3 T4 T5 Read(y)R-timestamp(y)=1 Write(y)W-timestamp(y)=2 Read(y)(_) Write(z)W-timestamp(z)=4 Read(x)R-timestamp(x)=1 Read(z)(_) Write(z)(_)Read(z)(_) Write(x)(_)2) Please answer the following query two question:(1) Consider the following query on the relation R(A, B, C, D)SELECT FROM RGROUP BY A, B Assume A, B, C, D take integer values Which can appear in the position marked as in following . M
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