3. Consider the following set F of functional dependencies on R = ABCDEG. F = {A-> BCD, BC -> DE, B-> D, D -> A) Compute B+.
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- Describe each of the following sets by listing its elements:a. {x | x ∈ N and x2 − 5x + 6 = 0}b. {x | x ∈ R and x2 = 19}c. {x | x ∈ N and x2 − 2x − 8 = 0}}d. {x | x ∈ Z and x ∗ x = 4}5. Write a function logisticClassify that takes in the m feature values for the n data points as a np-array with dimensions (n,m) and the weight vector w as a np-array with dimension (m+1) (with b as the final element of w). The function returns the 0/1 label for each data point as a np-array of dimension (n). Use the following syntax: classLabels=logisticClassify(x,w)A = [1 1; 1 -1];b = [80; 20]; A_inverse = inv(A);x = A\b; disp('A inverse is');disp(A_inverse);disp(['x1 is ', num2str(x(1)), ' and x2 is ', num2str(x(2))]); if isequal(round(x), [50; 30]) disp('Success');else disp('Incorrect: Please try again');end. Output matlab. .
- C++ Median-of-Three Partitioning Implementation demonstrate the median-of-three partitioning-enhanced quickSort2.cpp programme. To sort the left, centre, and right components in a subarray, we utilise a different member function called medianOf3(). The pivot value is returned by this function and is then passed to the partitionIt() member function.Please use DrRacket to program: - make-object: creates and returns a rudimentary "object" as a closure over an associative list containing attributes. The returned closure (i.e., function) responds to three "messages": get, set, and update. get takes an attribute key, whose value is returned (if it exists). set takes an attribute key and value, which are used to update the associative list update takes an attribute key and a function which is used to update the associative list by applying it to the current value make-object takes one argument, the initial name of the object (associated with the attribute key 'name). starter code: (define (make-object name) void)Design an abstract data type for a matrix with integer elements in alanguage that you know, including operations for addition, subtraction,and matrix multiplication.
- Homework -4 1- Implement the following function by : Type 1 MUX ( D partitioned variable) Type 2 MUX (C,D) are partitioned variables • Type 3 MUX (B,C,D) are partitioned variables F(A,B,C,D)={m(4,5,6,7,10,14) 2- Implement the following function by: Type 1 MUX (D) partitioned variable • Type 1 MUX (C) partitioned variable (8X1) MUX's • (4X1) MUX's F(A,B,C,D)=_m(0,1,5,6,8,9,12,13)+d(3,11)Write a Clojure function that acts like the built-in reduce but it returns every intermediate result of the reduction.Implement the following Racket functions: Transitive? Input: a list of pairs, L. Interpreting L as a binary relation, Transitive? returns #t if L is a transitive relation and #f otherwise. Examples: (display "Transitive? \n") (Transitive? '((a b) (b c) (a c))) ---> #t (Transitive? '((a a) (b b) (c c))) ---> #t (Transitive? '((a b) (b a))) ---> #f (Transitive? '((a b) (b a) (a a))) ---> #f (Transitive? '((a b) (b a) (a a) (b b))) ---> #t (Transitive? '())---> #t
- 2 pts 2/5 Animo Space Support 2D-DP-7 void mysteryFunction(int myList[][5], int r, int c) { int i, j, k, curr, temp; for ( (1) ) for (i = 0; i < c; i++) curr = i; for (j = i; j < c; j++) if(_(2)_) curr = j; temp = myList[k][i]; myList[k][i] = myList[k][curr]; myList[k][curr] = temp; int main() int i,j; int input[2][5] = { {7, 2, 3, 15, 8}, {56, 4, 12, 5, 9}}; mysteryFunction(input, 2, 5); for (i = 0; i < 2; i++) { for (j = 0; j < 5; j++) printf("%d ", input[i][j]); printf("\n"); return 0; Output: 2 378 15 459 12 56 Given the code segment above, what should be the content of _(2)__ in order to achieve the provided output? Assume the necessary libraries and functions are included and implemented.Sets are collections (1) without defined order and (2) not allowing duplication. Multisets, also called “bags” are collections without defined order but which permit duplication, i.e., more than one element. We define the function #(a B) to be the number of occurrences of the element a in the bag B. For example, #(1, [1 1 2 3 4 4 5]) is 2 and #(5, [1 1 2 3 4 4 5]) = 1. Bag union and intersection are defined in terms of #. bag-union: List × List -> ListThis function should take as arguments two lists representing bags and should return the list representing their bag-union. bag-intersection : List × List -> ListThis function should take as arguments two lists representing bags and should return the list representing their bag-intersection. Allowed functions. Your code must use only the following functions:1. define, let2. lambda3. cons, car, cdr, list, list?, append, empty?, length, equal?4. and, or, not5. if, cond6. +, -, /, * Racket code only please. Thank you!Sets are collections (1) without defined order and (2) not allowing duplication. Multisets, also called “bags” are collections without defined order but which permit duplication, i.e., more than one element. We define the function #(a B) to be the number of occurrences of the element a in the bag B. For example, #(1, [1 1 2 3 4 4 5]) is 2 and #(5, [1 1 2 3 4 4 5]) = 1. Bag union and intersection are defined in terms of #. bag-union: List × List -> List This function should take as arguments two lists representing bags and should return the list representing their bag-union. bag-intersection : List × List -> List This function should take as arguments two lists representing bags and should return the list representing their bag-intersection. Allowed functions. Your code must use only the following functions:1. define, let2. lambda, curry3. cons, car, cdr, list, list?, append, empty?, length, equal?4. and, or, not5. if, cond6. map, append-map, andmap, ormap, filter, apply7. +, -,…