1. Define domains and ranges of these functions. For example, the domain/codomain of n? function that takes an integer number and returns its squared value is defined as n²:2 -> N°, where z is a set of integers and N° is natural numbers with 0. a. A function f that computes the next largest integer for a given integer. b. A function g that determines for each pair of integers its greatest common divider. c. A function h that returns a cardinality of a set of integers.

1. Define domains and ranges of these functions. For example, the domain/codomain of n? function that takes an integer number and returns its squared value is defined as n²:2 -> N°, where z is a set of integers and N° is natural numbers with 0. a. A function f that computes the next largest integer for a given integer. b. A function g that determines for each pair of integers its greatest common divider. c. A function h that returns a cardinality of a set of integers.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter6: User-defined Functions

Section: Chapter Questions

Problem 17PE

See similar textbooks

Similar questions

Write a Racket function "combine" that takes two functions, f and g, as parameters and evaluates to a new function. Both f and g will be functions that take one parameter and evaluate to some result. The returned function should be the composition of the two functions with f applied first and g applied to f's result. For example (combine add1 sub1) should evaluate to a function equivalent to (define (h x) (sub1 (add1 x))). You will need to use a lambda function to achieve your result. Essentially you want (combine f g) to evaluate to a lambda function with f and g embedded inside. You can test your combine with invocations such as ((combine add1 add1) 1), which should evaluate to 3 since the anonymous function returned by combine is being applied to 1. Note: This is an example of a "function closure". f and g are defined in the scope of combine, but the lambda embeds a copy of them in the lambda function that can be used outside of combine's scope. When creating a lambda function in…
Interesting, intersecting def squares_intersect(s1, s2): A square on the two-dimensional plane can be defined as a tuple (x, y, r) where (x, y) are the coordinates of its bottom left corner and r is the length of the side of the square. Given two squares as tuples (x1, y1, r1) and (x2, y2, r2), this function should determine whether these two squares intersect, that is, their areas have at least one point in common, even if that one point is merely the shared corner point when these two squares are placed kitty corner. This function should not contain any loops or list comprehensions of any kind, but should compute the result using only integer comparisons and conditional statements. This problem showcases an idea that comes up with some problems of this nature; it is actually far easier to determine that the two squares do not intersect, and negate that answer. Two squares do not intersect if one of them ends in the horizontal direction before the other one begins, or if the same…
Define Functions fill and fill_n.
Write a function numRolls that simulates the following dice game: a player repeatedly rolls a pair ofdice until the second time that doubles is rolled. The function then returns the total number of rollsmade. For example, suppose the player rolls the following pairs: (3,2), (3,3), (1,5), (5,5). The game thenstops because the player has rolled doubles twice, (3,3) and (5,5). The function returns 4, the totalnumber of rolls made: Use python
1. Write a function maxCubeVolume in F# that takes a list of floating-point tuples that represent dimensions of a cube (length, width, and height) and returns the volume of the cube that has the largest volume. Each tuple consists of three floating point values that are all greater than zero. The volume of the cube is computed using (length*width*height). If the list is empty, return 0.0. Do not use F# system functions or methods (such as map or max). Examples in F# Interactive: > maxCubeVolume [(2.1, 3.4, 1.8); (4.7, 2.8, 3.2); (0.9, 6.1, 1.0); (3.2, 5.4, 9.9)];;val it : float = 171.072> maxCubeVolume [(0.33, 0.66, 2.75)];;val it : float = 0.59895> maxCubeVolume [];;val it : float = 0.0
Write a function f which takes three pointers to int variables (a, b, c). Then it should:-Set the first variable to the sum of values of the variables (a + b + c).-Set the second variable to difference between maximum and minimum of values ( max(a,b,c) - min(a,b,c) )-Set the third variable to median of a, b, c.For example:if a = 5, b = 10, c = 2Then f(&a, &b, &c) should:Set a to 17 (that is the sum)Set b to 8 (that is max - min = 10 - 2)Set c to 5 (that is the median of 5, 10 and 2) NOTE: You are already provided a test main which checks your code for evaluation. DO NOT MODIFY IT or your answer will NOT be accepted. #include<stdio.h> // Write your code here... //////////////////////////////////////////// THIS IS THE TEST MAIN FOR YOUR PROGRAM// DO NOT MODIFY IT!!int main() {int a = 1;int b = 2;int c = 3;for (int i = 0; i < 2; i++) {f(&a, &b, &c);printf("%d\n", a);printf("%d\n", b);printf("%d\n", c);}return 0;}//////////////////////////////////////////…
Define a function SetBirth, with int parameters monthVal and dayVal, that returns a struct of type DateOfBirth. The function should assign DateOfBirth's data member numMonths with monthVal and numDays with dayVal.
Language: C Write the function convolve that will calculate the confolution of two functions f, g on [0, t] interval. The convolution is defined as (f ∗ g)(t) = Z t 0 f(τ )g(t − τ ) dτ for f, g : [0, ∞) → R. The argument function f and g should be passed by pointers. The integral should be approximated by the Riemman sum, i.e., Z b a f(x) dx = Xn i=1 f(xi) ∆x, where ∆x = b−a n and xi = a + i ∆x. Define the functions func1, func2 and func3, that return sin(x), cos(x) and x 3 respectively. Use these functions to calculate the convolution of f = sin(x), g = sin(x) f = sin(x), g = cos(x) f = sin(x), g = x 3 for t = 2π and n = 1000.
Use Clojure: a. The built-in function type is useful for checking what kind of object an expression evaluates to. Write a function both-same-type? that takes two arguments, and returns true when they both have the same type, and false otherwise. b. Write a function list-longer-than? which takes two arguments: an integer n, and a list lst and returns true if lst has more than n elements, and false otherwise. For example, (list-longer-than? 3 '(1 2 3)) should return false, and (list-longer-than? 2 '(1 2 3)) should return true.
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.
def rectangle_overlap(rect1_bl_x,rect1_bl_y, rect1_tr_x,rect1_tr_y, rect2_bl_x,rect2_bl_y, rect2_tr_x,rect2_tr_y): """ (int,int,int,int,int,int,int,int) -> str Function determines whether two rectangles overlap. When rectangles overlap, the function checks for the following scenarios 1. The two rectangles share the same coordinates 2. The first rectangle is contained within the second 3. The second rectangle is contained within the first 4. The rectangles have overlapping area, but neither is completely contained within the other Function inputs represent x and y coordinates of bottom left and top right corners of rectangles (see lab document) The function return one of the following strings corresponding to the scenario "no overlap" "identical coordinates" "rectangle 1 is contained within rectangle 2" "rectangle…
c++ Define a function ComputeGasVolume that returns the volume of a gas given parameters pressure, temperature, and moles. Use the gas equation PV = nRT, where P is pressure in Pascals, V is volume in cubic meters, n is number of moles, R is the gas constant 8.3144621 ( J / (mol*K)), and T is temperature in Kelvin. All parameter types and the return type are double.