13. Let a set A = {1, 2, 3}, B = {1, 2, 3, 4} and C = {1,2}. a) Draw the arrow diagram to define function f: AB that is one-to-one but not onto. b) List the three ordered pairs to define function g: A→C that is onto but not one-to-one.
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Discrete Structure.
![13. Let a set A = {1, 2, 3}, B = {1, 2, 3, 4} and C = {1,2}.
a) Draw the arrow diagram to define function f: A>B that is one-to-one but not onto.
b) List the three ordered pairs to define function g: A>C that is onto but not one-to-one.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F751e93b5-8c4d-4cba-b8be-905e836442b5%2Ffc42c5bf-8c70-4ccf-817c-812159eceb0f%2Fr21x7oi_processed.jpeg&w=3840&q=75)
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- Structural Verification Structural verification is, in this case, validating that a data structure is formed according to its specification. For this lab you are given an essentially arbitrary specification, but you could think of this being used to verify a data structure produced by a program that must have certain properties in order to be used correctly. For example, a list must not be circular, or an image file might require a particular header describing its contents. You must implement this function, which examines a matrix and ensures that it adheres to the following specification: bool verify_matrix(int x, int y, int **matrix); This function accepts an X dimension, a Y dimension, and a matrix of y rows and x columns; although it is declared as int **, this is the same type of matrix as returned by parse_life() in PA1, and you should access it as a two-dimensional array. Note that it is stored in Y-major orientation; that is, matrix ranges from matrix[0][0] to matrix[y 1][x -…Use Clojure: a. See attached picture. b. In Clojure (like other functional programming languages) functions and variables are treated identically. This means a function may easily take another function as an argument, and/or return a function. Write a function swap-arg-order which takes a function (of two arguments) as an argument returns another function that does the same thing, but expects its two arguments in the opposite order.That is, for example• given the division function / which divides the first argument by the second (so (/ 3 6) returns the number 1/2), the following expression should evaluate to 2((swap-arg-order /) 3 6)• given the function list-longer-than? from above, the following expression should evaluate to true((swap-arg-order list-longer-than?) '(1 2 3) 2) c. Define a higher order function g so the following expression evaluates to true:(= 100 (g (fn [n] (* n n))))(a) Based on the function prototype of addTuition(), write the function definition for this addTuition() function that will prepare a new node of a linked list filled with the three basic information of a tuition class. (b) Based on the function prototype of insertData() function and also how it is called by main() function, write the function definition for this insertData() function which will store data from Table Q1 in a linked list format. (c) In the main() function, by using while loop, write C code to display print the information of all tuition classes and the average number of enrolled students, as shown in Figure Q1.
- OCAML programming (Sliding tiles) The mechanics described in this exercise can be used to implement a game sliding tiles. 1. Create a type slidingTile, consisting of a char matrix and two integers xand y. The integers x and y are the coordinates of an empty tile. 2. Create a function val slide : slidingTile -> int -> int -> slidingTile = <fun> that given a slidingTile and two integers, that represent a location in thematrix, it slides the tile from the specified location to the empty tile, thenreturns the altered slidingTile. If provided location is not adjacent to theempty tile, or out of bounds, then return the slidingTile unaltered. 3. Create a function val print_tile : slidingTile -> unit = <fun> that prints a slidingTile on screen with the corresponding characters fromthe matrix. However, print an empty space where the empty tile is instead.3. The function of 3 variables is specified as a sum of minterms: F (A, B, C) = (0, 1, 3, 4, 5). 3a) Specify the function F as a product of Maxterms. 3b) Specify the complement to the function as a sum of minterms (for F'). 3c) Obtain the schematics for the following implementations of function F: 3c1) with a 3-to-8 decoder with active-high outputs and a single 3-input logic gate. 3c2) with a 3-to-8 decoder with active-low outputs and a single 3-input logic gate. The available gates are OR3, NOR3, AND3, and NAND3. Denote the decoder inputs with A2 (for MSB), A1, AO (for LSB). Assign the variables A, B, C to the decoder inputs. The decoder outputs should be denoted with decimal digits from 0 to 7 which represent minterm or Maxterm numbers in accordance with the decoder output type.Ocaml programming 1. Create a type slidingTile, consisting of a char matrix and two integers xand y. The integers x and y are the coordinates of an empty tile. 2. Create a function val slide : slidingTile -> int -> int -> slidingTile = <fun> that given a slidingTile and two integers, that represent a location in thematrix, it slides the tile from the specied location to the empty tile, thenreturns the altered slidingTile. If provided location is not adjacent to theempty tile, or out of bounds, then return the slidingTile unaltered. 3. Create a function val print_tile : slidingTile -> unit = <fun> that prints a slidingTile on screen with the corresponding characters fromthe matrix. However, print an empty space where the empty tile is instead.
- Hi, OCaml programming 1. Create a type slidingTile, consisting of a char matrix and two integers xand y. The integers x and y are the coordinates of an empty tile. 2. Create a function val slide : slidingTile -> int -> int -> slidingTile = <fun> that given a slidingTile and two integers, that represent a location in thematrix, it slides the tile from the specified location to the empty tile, thenreturns the altered slidingTile. If provided location is not adjacent to theempty tile, or out of bounds, then return the slidingTile unaltered. 3. Create a function val print_tile : slidingTile -> unit = <fun> that prints a slidingTile on screen with the corresponding characters fromthe matrix. However, print an empty space where the empty tile is instead.write a C++ function to compute the following (Set Theory) a. std::vector<int> intersection(std::vector<int>& a, std::vector<int>& b) b. std::vector<int> union(std::vector<int>& a, std::vector<int>& b) c. std::vector<int> abs_complement(std::vector<int>& u, std::vector<int>& a, std::vector<int>& b) d. std::vector<int> relative_complement(std::vector<int>& u, std::vector<int>& a, std::vector<int>& b) //a\b e. std::vector<int> delta_diff(std::vector<int>& u, std::vector<int>& a, std::vector<int>& b) //a = { x, y, z ... } void print(std::vector<int>& v, std::string& n) { std::vector<int>::iterator itr = std::begin(v); for (; itr != std::end(v); itr++) { std::cout<<(*itr)<<std::endl; } } int main(int avgc, char** avgs) { std::vector<int> u = {1, 2, 3,…Computer Science Consider the following defintion: data Term = Var String | Application Term Term | Lambda String Term Construct a Haskell function: alphaRename :: Term -> String -> Term Where it performs an alpha renaming. (alphaRename t x) substitutes x for the formal parameter of t, which must be a lambda expression. You can assume that x is not free in t, i.e., not free in the body of t. Please provide your function code with an example input for the above operation.
- max edge distance Simplification key Figure 4-1: A sample process for the Douglas-Peucker algorithm The Douglas-Peucker algorithm is for the selection of representative points to simplify a curve composed of line segments. It uses a point-to-edge distance tolerance. The algorithm starts with a crude simplification that is the single edge joining the first and last vertices of the original polyline. It then computes the perpendicular distance of all intermediate vertices to that edge. The vertex that is furthest away from that edge, and that has a computed distance that is larger than a specified tolerance, will be marked as a key and added to the simplification. This process will recurse for each edge in the current simplification until all vertices of the original polyline are within tolerance of the simplification results. This process is illustrated in Figure 4-1.I need to complete this table, JAVA. Assuming an unsorted Map starting with no contents, describe the return values and contents of the map (initial values on the left) after the operation, when done in order. Also Assume entries are in (key,value) format. The first three function calls are completed. FUNCTION CONTENTS RETURN VALUE isEmpty() {} true put(5,X) {(5,X)} null put(7,F) {(5,X),(7,F) null put(2,C) put(8,D) put(2,E) get(7) put(7,Y) get(4) put(4,X) get(4) size() remove(5) isEmpty() size()Define function f() and g () in this way def >>.(y): x=2 print ( ' in f (): x = {}, y= {} ' .format (x, y)) g(3) print ( ' In f() : x = {} , y= {} '.format (x, y)) >>> def g(y) : x = 4 print ( ' In g(): x = {} , y= {} ' . format (x, y)) interpreter shell x= 20 y = 30 and function cell double (4) y = 4 x= 2 show graphically the variable names their values and the namespace of function f() and g() during the execution of function g() when this call is made >>> f (1) python ( namespace)
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