4. (4 points) Prove the truth or falsity of the following statements. To prove a statement...
Given the following relation schemas and the sets of FD's: a- R(A,B,C,D) F={ABẠC,C7D, D´A, BC+C} b- R(A,B,C,D) F={BẠC, BD, AD>B} C- R(A,B,C,D) F={AB-C, DC+D, CD+A, AD+B} d- R(A,B,C,D) F={AB=C, C+D, D™B, DE} e- R(A, B, C, D, E) F= {AB+C, DB+E, AE>B, CD+A, ECD} In each case, (i) Give all candidate keys (ii) Indicate the BCNF violation Give the minimal cover and decompose R into a collection of relations that are BCNF. Is it lossless? Does it preserve the dependencies?...
Language: SQL - Normalization and Functional Dependencies Part 4 Normalization and Functional Dependencies Consider the following relation R(A, B, C, D)and functional dependencies F that hold over this relation. F=D → C, A B,A-C Question 4.1 (3 Points) Determine all candidate keys of R Question 4.2 (4 Points) Compute the attribute cover of X-(C, B) according to F Question 43 (5 Points) Compute the canonical cover of F.Show each step of the generation according to the algorithm shown in class....
please do question 4. Note that we follow the convention of denoting the set of attributes {A, B, C} by ABC when we write FDs but not when we write schemas. Given the following set set F of FDs on schema R= (A, B, C, D, E,G): A + BC AB + CD B +C E →D G +C EG → AD Answer the following questions. Questions 1-4 require a formal proof or disproof. A proof may be given either...
2.7 Exercises 43 4. Prove each of the following identities by using the algebraic rules (no truth tables). Several steps may be combined, but make sure that each step is clear (a) a'b b'c + a'c (b) а'd + ac (c) xz' + x'y' + x'z + y'z = y' + x'z + xz' (d) ad' a'b' + c'd + a'c' + b'd = ad' + (bc' (e) xy' z(x' + y + w) (f) a'z' yz + xy' =...
4. (8 Points) Using a truth table, prove the following statements are logically equivalent. Be sure to include an explanation of how your truth table demonstrates this conclusion. -(X VY)= -X A-Y
math analysis 1. decide which of the following statements ore true os false. Prove the true ones and give a counter example for the false ones a) If f and I are continuous on 19.6], frane glas and f(b) > g(6), then there is a cca.bI such that fcc) - grey b) suppose that fandy are defined and finile Volved an open inken val I which contains a, that fis cóntinuous at a, and that fla) & 0. Then g...
how do u do 6? F-'(C-D)= F-'(C)-F-'(D). 4. (10 points) In following questions a function f is defined on a set of real numbers. Determine whether or not f is one-to-one and justify your answers. (a) f(x) = **!, for all real numbers x #0 (6) f(x) = x, for all real numbers x (c) f(x) = 3x=!, for all real numbers x 70 (d) f(x) = **, for all real numbers x 1 (e) f(x) = for all real...
ChangeRequest(CRID, CRType, CRTitle, CROriginDate, CRPriority, CRNeedEvent, CRStatus) NeedByEvent(Event) CRPrevState(CRID, CRState, StartDate, EndDate) CRAssigned(CRID, EmpID, StartDate, EndDate) Employees(EmpID, FirstName, LastName, JobTitle) ChangeRequest(CRID, CRType, CRTitle, CROriginDate, CRPriority, CRNeedEvent, CRStatus) The CRID is the primary key, it is unique, and it is an positive integer The CRType may be one of two values: "Deficiency" or "Enhancement" CRTitle is a variable length string that may be up to 2048 characters CROriginDate is a date CRPriority is an integer that may assume a value of...