PowerPoint PresentationChapter 6FIGURE 6.1 Results of SELECT and PROJECT operations. (a) s(DNO=4 AND SALARY>25000) OR (DNO=5 AND SLARY>30000)(EMPLOYEE). (b) pSEX, SALARY(EMPLOYEE).FIGURE 6.2 Results of a sequence of operations. (a) pFNAME, LNAME, SALARY (sDNO=5(EMPLOYEE)). (b) Using intermediate relations and renaming of attributes.FIGURE≈6.3 Results of the UNION operation RESULT € RESULT1  RESULT2.FIGURE≈6.4 The set operations UNION, INTERSECTION, and MINUS. (a) Two union-compatible relations. (b) STUDENT  INSTRUCTOR. (c) STUDENT  INSTRUCTOR. (d) STUDENT – INSTRUCTOR. (e) INSTRUCTOR – STUDENTFIGURE≈6.5a The CARTESIAN PRODUCT (CROSS PRODUCT) operation.FIGURE≈6.5b The CARTESIAN PRODUCT (CROSS PRODUCT) operation.FIGURE≈6.5c The CARTESIAN PRODUCT (CROSS PRODUCT) operation.FIGURE≈6.6 Result of the JOIN operation DEPT_MGR  DEPARTMENT JOIN MGRSSN=SSN EMPLOYEE .FIGURE≈6.7 Results of two NATURAL JOIN operations. (a) PROJ_DEPT  PROJECT * DEPT. (b) DEPT_LOCS  DEPARTMENT * DEPT_LOCATIONS.FIGURE≈6.8 The DIVISION operation. (a) Dividing SSN_PNOS by SMITH_PNOS. (b) T  R ÷ S.FIGURE≈6.9 The AGGREGATE FUNCTION operation.FIGURE≈6.10 A two-level recursive query.FIGURE≈6.11 The result of a LEFT OUTER JOIN operation.FIGURE≈6.12 A relational database schema for a LIBRARY database.FIGURE≈6.13 A database state for the relations T1 and T2.Copyright © 2004 Pearson Education, Inc.Copyright © 2004 Pearson Education, Inc.Chapter 6The Relational Algebra and Relational CalculusSlide 6-3Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE 6.1Results of SELECT and PROJECT operations. (a) (DNO=4 AND SALARY>25000) OR (DNO=5 AND SLARY>30000)(EMPLOYEE). (b) SEX, SALARY(EMPLOYEE).Slide 6-4Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE 6.2Results of a sequence of operations. (a) FNAME, LNAME, SALARY(DNO=5(EMPLOYEE)). (b) Using intermediate relations and renaming of attributes.Slide 6-5Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.3Results of the UNION operation RESULT €RESULT1  RESULT2.Slide 6-6Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.4The set operations UNION, INTERSECTION, and MINUS. (a) Two union-compatible relations. (b) STUDENT  INSTRUCTOR. (c) STUDENT  INSTRUCTOR. (d) STUDENT – INSTRUCTOR. (e) INSTRUCTOR – STUDENTSlide 6-7Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.5aThe CARTESIAN PRODUCT (CROSS PRODUCT) operation.Slide 6-8Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.5bThe CARTESIAN PRODUCT (CROSS PRODUCT) operation.Slide 6-9Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.5cThe CARTESIAN PRODUCT (CROSS PRODUCT) operation.Slide 6-10Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.6Result of the JOIN operation DEPT_MGR  DEPARTMENT JOIN MGRSSN=SSN EMPLOYEE .Slide 6-11Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.7Results of two NATURAL JOIN operations. (a) PROJ_DEPT  PROJECT * DEPT. (b) DEPT_LOCS  DEPARTMENT * DEPT_LOCATIONS.Slide 6-12Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.8The DIVISION operation. (a) Dividing SSN_PNOS by SMITH_PNOS. (b) T  R ÷ S.Slide 6-13Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.9The AGGREGATE FUNCTION operation.Slide 6-14Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.10A two-level recursive query.Slide 6-15Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.11The result of a LEFT OUTER JOIN operation.Slide 6-16Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.12A relational database schema for a LIBRARY database.Slide 6-17Elmasri and Navathe, Fundamentals of Database Systems, Fourth EditionCopyright © 2004 Pearson Education, Inc. FIGURE≈6.13A database state for the relations T1 and