![Q2 [10 points] Consider the same set A from question 1 and define a new relation T on A with the rule: (a, b)T(c, d) > (a 3 c](http://img.homeworklib.com/images/e53c7e73-3415-4801-9cf9-4ae6bc2e1e8f.png?x-oss-process=image/resize,w_560)
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Q2 [10 points] Consider the same set A from question 1 and define a new relation T on A with the rule: (a, b)T(c, d) &g...
(1,3), с %3D (2,1), d (3,4) (1,2), b (4,2), f (5,3) and (5,5). Let 5. Let a = е 3 - {a, b, c, d, e, f, g} be the set of...
(1,3), с %3D (2,1), d (3,4) (1,2), b (4,2), f (5,3) and (5,5). Let 5. Let a = е 3 - {a, b, c, d, e, f, g} be the set of these 7 points. We define the following partial order on S: We have (r, y)(', y) iff x< x and y < / Draw the Hasse diagram of S S 6. We consider the same partial order as in Problem 5, but it is now defined on R2....
Search ll 19:15 1.) (a) binomial relation on N x N Define as (a, b) (c, d)<a + d = b + c Is this binary relat...
Search ll 19:15 1.) (a) binomial relation on N x N Define as (a, b) (c, d)<a + d = b + c Is this binary relation is equivalent relation? If there is an equivalence relation, write three elements of the equivalence class (5,2) to be represented (B)A binary relation on N x N is defined as follows. (a, b)(c, d) a+d<=b + c Will this binary relation be a partial order relation? If it is a partial order relationship,...
4. Let S = {1,2,3). Define a relation R on SxS by (a, b)R(c,d) iff a...
4. Let S = {1,2,3). Define a relation R on SxS by (a, b)R(c,d) iff a <c and b <d, where is the usual less or equal to on the integers. a. Prove that R is a partial order. Is R a linear order? b. Draw the poset diagram of R.
Theorem 7.3.5 Let P be a partition of a nonempty set X. Define a relation~on X for all a, b X by ...
Theorem 7.3.5 Let P be a partition of a nonempty set X. Define a relation~on X for all a, b X by defining: Then is an equivalence relation on X. Furthermore, the equivalence classes ofare exactly the elements of the partition P: that is, X/ ~= P. Proof: See page 164 in your textbook. a,b,c,d,e,f partition P = {{a, c, e), {b, f}, {d)) 5 Let A = Give a complete listing of the ordered pairs in the equivalence relation...
16. (8 points) Let Z be the integers and let A - Zx Z. Define the relation R on A by (a, b) R(c, d) if and only if a c and b 3 d for all (a, b), (c, d)E A. Prove that R is a partial ordering on A tha...
16. (8 points) Let Z be the integers and let A - Zx Z. Define the relation R on A by (a, b) R(c, d) if and only if a c and b 3 d for all (a, b), (c, d)E A. Prove that R is a partial ordering on A that is not a total ordering.
16. (8 points) Let Z be the integers and let A - Zx Z. Define the relation R on A by (a, b)...
*ESPECIALLY PART D PLEASE 111111 1. Let R be a relation on RxR defined by (a,b)R(c,d)...
*ESPECIALLY PART D PLEASE
111111 1. Let R be a relation on RxR defined by (a,b)R(c,d) if and only if a - b = c-d DIDUD a) (5 points) Prove that is an equivalence relation on RxR. b) (5 points) Describe all ordered pairs in the equivalence class of (0,0) c) (5 points) Describe all ordered pairs in the equivalence class of (3,1) d) (5 points) Describe the partition of Rx Rassociated with R.
4. (4 points) Consider the relation RCA, B, C, D, E) with the set of FDs:...
4. (4 points) Consider the relation RCA, B, C, D, E) with the set of FDs: F ABE, CD-E 4-+ C, C-+?). Decompose R into BCNF. Write and explain all steps in your decomposition.
Find the range of the function for the values given. A merchant uses the rule f(c) = (2 x d-1 to ...
Find the range of the function for the values given. A merchant uses the rule f(c) = (2 x d-1 to set his selling price. Give answers as whole numbers. 2 3 f(c) Now type the three ordered pairs in the order given above. Be sure to use parentheses (). 5 NEXT QUESTION O ASK FOR HELP TURN
Find the range of the function for the values given. A merchant uses the rule f(c) = (2 x d-1 to set...
Can you #2 and #3? 6. LESSON 6 (1) Let A be the set of people alive on earth. For each relation defined below, determin...
Can you #2 and #3?
6. LESSON 6 (1) Let A be the set of people alive on earth. For each relation defined below, determine if it is an equivalence relation on A. If it is, describe the equivalence classes. If it is not determine which properties of an equivalence relation fail. (a) a Hb a and b are the same age in (in years). (b) a Gb a and b have grandparent in common. 2) Consider the relation S(x,y):x...
Consider the following relation R(A,B,C,D,E,G) and the set of functional dependencies F = { A →...
Consider the following relation R(A,B,C,D,E,G) and the set of functional dependencies F = { A → BCD BC → DE B → D D → A} Give a 3NF decomposition of the given schema based on a canonical cover
(1,3), с %3D (2,1), d (3,4) (1,2), b (4,2), f (5,3) and (5,5). Let 5. Let a = е 3 - {a, b, c, d, e, f, g} be the set of these 7 points. We define the following partial order on S: We have (r, y)(', y) iff x< x and y < / Draw the Hasse diagram of S S 6. We consider the same partial order as in Problem 5, but it is now defined on R2....
Search ll 19:15 1.) (a) binomial relation on N x N Define as (a, b) (c, d)<a + d = b + c Is this binary relation is equivalent relation? If there is an equivalence relation, write three elements of the equivalence class (5,2) to be represented (B)A binary relation on N x N is defined as follows. (a, b)(c, d) a+d<=b + c Will this binary relation be a partial order relation? If it is a partial order relationship,...
4. Let S = {1,2,3). Define a relation R on SxS by (a, b)R(c,d) iff a <c and b <d, where is the usual less or equal to on the integers. a. Prove that R is a partial order. Is R a linear order? b. Draw the poset diagram of R.
Theorem 7.3.5 Let P be a partition of a nonempty set X. Define a relation~on X for all a, b X by defining: Then is an equivalence relation on X. Furthermore, the equivalence classes ofare exactly the elements of the partition P: that is, X/ ~= P. Proof: See page 164 in your textbook. a,b,c,d,e,f partition P = {{a, c, e), {b, f}, {d)) 5 Let A = Give a complete listing of the ordered pairs in the equivalence relation...
16. (8 points) Let Z be the integers and let A - Zx Z. Define the relation R on A by (a, b) R(c, d) if and only if a c and b 3 d for all (a, b), (c, d)E A. Prove that R is a partial ordering on A that is not a total ordering.
16. (8 points) Let Z be the integers and let A - Zx Z. Define the relation R on A by (a, b)...
*ESPECIALLY PART D PLEASE
111111 1. Let R be a relation on RxR defined by (a,b)R(c,d) if and only if a - b = c-d DIDUD a) (5 points) Prove that is an equivalence relation on RxR. b) (5 points) Describe all ordered pairs in the equivalence class of (0,0) c) (5 points) Describe all ordered pairs in the equivalence class of (3,1) d) (5 points) Describe the partition of Rx Rassociated with R.
4. (4 points) Consider the relation RCA, B, C, D, E) with the set of FDs: F ABE, CD-E 4-+ C, C-+?). Decompose R into BCNF. Write and explain all steps in your decomposition.
Find the range of the function for the values given. A merchant uses the rule f(c) = (2 x d-1 to set his selling price. Give answers as whole numbers. 2 3 f(c) Now type the three ordered pairs in the order given above. Be sure to use parentheses (). 5 NEXT QUESTION O ASK FOR HELP TURN
Find the range of the function for the values given. A merchant uses the rule f(c) = (2 x d-1 to set...
Can you #2 and #3?
6. LESSON 6 (1) Let A be the set of people alive on earth. For each relation defined below, determine if it is an equivalence relation on A. If it is, describe the equivalence classes. If it is not determine which properties of an equivalence relation fail. (a) a Hb a and b are the same age in (in years). (b) a Gb a and b have grandparent in common. 2) Consider the relation S(x,y):x...
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