Browse L

Let A1,A2,A3,,An be events. Show that if P[A1] = P[A2] = ... = P[An] = 1, then P

Let A1,A2,A3,,An be events. Show that if P[A1] = P[A2] = ... = P[An] = 1, then P[A1A...An] = 1. Is this still true if the collection of events is countably infinite? Is this still…

Let A= 3i + 4j - 2k nad B= 2i + 2j +2k. Find C such that - 7B + C = 0. I NEED TO

Let A= 3i + 4j - 2k nad B= 2i + 2j +2k. Find C such that - 7B + C = 0. I NEED TO SHOW ALL WORK!!!!!!

Let A=[O I B O] 2x2 matrix where all four submatrices are kxk. Determine A^2 and

Let A=[O I B O] 2x2 matrix where all four submatrices are kxk. Determine A^2 and A^4. At first, I thought the "O" was zero. It was pretty simple to find the answer but then I real…

Let A={x,a,b,c,d} a) How many closed binary operations f on A satisfy f(a,b)=c?

Let A={x,a,b,c,d} a) How many closed binary operations f on A satisfy f(a,b)=c? b) How many of the functions f in part (a) have x as an identity element? c) How many of the functi…

Let A={{1,2},[1,3},{2},{2,5},{3,4,5}}. Define f: A?N by f(a)=the sum of the elem

Let A={{1,2},[1,3},{2},{2,5},{3,4,5}}. Define f: A?N by f(a)=the sum of the elements of a (a A) Find f[A]. Now define g: N?N by g(n)= { the largest prime = n if n > 1 1 if n=1 …

Let ABCD be a general quadrilateral and let the points P, Q,R, and S be the midp

Let ABCD be a general quadrilateral and let the points P, Q,R, and S be the midpoints of AB bar, BC bar, CD bar, and DA bar, respectively. Prove that PQRS is a parallelogram. tria…

Let A[1 . . . n] be an array of n distinct integers. We say that A is peaked, if

Let A[1 . . . n] be an array of n distinct integers. We say that A is peaked, if there exists an index 1 k n such that: (1) For all 1 i < k, A[i] < A[i + 1] and (2) for all …

Let A[1 . . . n] be an array of n distinct integers. We say that A is peaked, if

Let A[1 . . . n] be an array of n distinct integers. We say that A is peaked, if there exists an index 1 k n such that: (1) For all 1 i < k, A[i] < A[i + 1] and (2) for all …

Let A[1..n] and B[1.n] be two arrays sorted in increasing order. Assume that bot

Let A[1..n] and B[1.n] be two arrays sorted in increasing order. Assume that both A and B have no duplicate elements. Write the pseudocode of an algorithm which computes an array …

Let A[1..n] be an array containing distinct integers sorted in increasing order.

Let A[1..n] be an array containing distinct integers sorted in increasing order. The following algorithm determines if a query integer x is in A; it returns the position of x in A…

Let A[1..n] be an array containing n distinct real numbers (some of these may be

Let A[1..n] be an array containing n distinct real numbers (some of these may be negative). (a) Design a O(n) time algorithm that computes an index j for which the sum A[1] + A[2]…

Let A[1..n] be an array of distinct positive integers, and let t be a positive i

Let A[1..n] be an array of distinct positive integers, and let t be a positive integer. (a) Assuming that A is sorted, show that in O(n) time it can be decided if A contains two d…

Let A[1..n] be an array of integers, where n 1. Write an algorithm using pseudoc

Let A[1..n] be an array of integers, where n 1. Write an algorithm using pseudocode that finds whether A contains a subarray with sum 0. If yes, then return the indexes of the sub…

Let A[1..n] be an array of n distinct numbers, (i, j) is called an inversion of

Let A[1..n] be an array of n distinct numbers, (i, j) is called an inversion of A if i A[j]. The inversion number of A, denoted by inversion(A), is the total number of inversions …

Let A[1..n] be an array of n distinct numbers, (i, j) is called an inversion of

Let A[1..n] be an array of n distinct numbers, (i, j) is called an inversion of A if i A[j] (note that I have used to denote an inversion in class. Since I used (i, j) here, eithe…

Let A[1..n] be an array of n distinct numbers, (i, j) is called an inversion of

Let A[1..n] be an array of n distinct numbers, (i, j) is called an inversion of A if i A[j] The inversion number of A, denoted by inversion(A), is the total number of inversions o…

Let A[1..n] be an array of n distinct numbers. (i, j) is called an inversion of

Let A[1..n] be an array of n distinct numbers. (i, j) is called an inversion of A if i A[j]. The inversion number of A, denoted by inversion(A), is the total number of inversions …

Let A[1..n] be an array of points in the plane, where A[i] contains the coordina

Let A[1..n] be an array of points in the plane, where A[i] contains the coordinates (xi, yi) of a point pi, for i = 1, . . . , n. Give an O(n lg n) time algorithm that determines …

Let A[1..n] be an array of positive integers (A is not sorted). Pinocchio claims

Let A[1..n] be an array of positive integers (A is not sorted). Pinocchio claims that there exists an O(n)-time algorithm that decides if there are two integers in A whose sum is …

Let A[1..n] be an array with n elements. Consider the Prefix-Average algorithm,

Let A[1..n] be an array with n elements. Consider the Prefix-Average algorithm, with the pseudocode below 1, 8 = 0 2. let B[1...n] be a new array 3, for j = 1 to n 5. print s Whic…

Let A[1..n] be an array with n numbers. An element x in A[1..n] is said to be co

Let A[1..n] be an array with n numbers. An element x in A[1..n] is said to be cool if it appears more than n 2 times in A[1..n]. For instance, 5 is cool in [5, 1, 5, 2, 5, 2, 5], …

Let A[1..nl be an array of n distinct numbers (i, j) is called an inversion of A

Let A[1..nl be an array of n distinct numbers (i, j) is called an inversion of A if i A[j]. The inversion number of A, denoted by inversion(A), is the total number of inversions o…

Let A[1::n] be an array of numbers. To find the largest number in A, one way is

Let A[1::n] be an array of numbers. To find the largest number in A, one way is to divide A into two halves, recursively nd the largest number in each half, and pick the maximum b…

Let A[1], A[2], A[n], be n integers (possibly with repetitions) in the range 1 .

Let A[1], A[2], A[n], be n integers (possibly with repetitions) in the range 1 ... k i.e. all the entries of the array A are between 1 and k. You want to repeatedly answer range q…

Let A[1], A[2],...,A[n] be an array containing positive integers. a) Describe an

Let A[1], A[2],...,A[n] be an array containing positive integers. a) Describe an efficient algorithm to find the maximum difference between any two integers in the array. In other…

Let A\\B CD and xA. Prove that if x(not element of)D then xB. (a) Critique the f

Let AB CD and xA. Prove that if x(not element of)D then xB. (a) Critique the following student’s proof. Indicate all the errors, as you would grade a homework in details on a 6 po…

Let A_n be the n x n matrix with 8 on the main diagonal and 3 elsewhere. For exa

Let A_n be the n x n matrix with 8 on the main diagonal and 3 elsewhere. For example, A_3 = [8 3 3 3 8 3 3 3 8] a) For n = 3, 4, 5 Use Matlab pre-programmed matrices (eye, ones, z…

Let Ai , 1 %u2264 i %u2264 5, be the domains for a table D %u2286 A 1 X A 2 X A

Let Ai , 1 %u2264 i %u2264 5, be the domains for a table D %u2286 A1 X A2 X A3 X A4 X A5, where A1 = {1, 2} (used to identify the daily vitamin capsule produced by two pharmaceuti…

Let Ai , 1 ? i ? 5, be the domains for a table D ? A1 A2 A3 A4 A5, where A1 {U,

Let Ai , 1 ? i ? 5, be the domains for a table D ? A1 A2 A3 A4 A5, where A1 {U, V,W, X, Y, Z} (used as code names for different cereals in a test), andA2 A3 A4 A5 Z+. The table D …

Let Al1n] be an array of integers, where n2 1. Write an algorithm using pseudoco

Let Al1n] be an array of integers, where n2 1. Write an algorithm using pseudocode that finds whether A contains a subarray with sum 0. If yes, then return the indexes of the suba…

Let All [1: n] be an array that contain a sequence of distinct integers. Conside

Let All [1: n] be an array that contain a sequence of distinct integers. Consider the following algorithm, called selection sort, to sort A in increasing order: In the first pass,…

Let An be the area of a polygon with n equal sides inscribed in a circle with ra

Let An be the area of a polygon with n equal sides inscribed in a circle with radius gamma . By dividing the polygon into n congruent triangles with central angle 2 pi /n, determi…

Let Ax^rightarrow = 0 be a homogeneous system of linear equations. Suppose x^rig

Let Ax^rightarrow = 0 be a homogeneous system of linear equations. Suppose x^rightarrow _x1and x^rightarrow _2 are both solutions of Ax^rightarrow = 0 Verify that 2x^rightarrow _1…

Let B 1 ={u 1 ,u 2 } and B 2 ={v 1 ,v 2 } be the basis of R 2 in which u 1 =(2,2

Let B1={u1,u2} and B2={v1,v2} be the basis of R2 in which u1=(2,2), u2=(4,-1), v1=(1,3), and v2=(-1,-1). (a) use formula (14)* to find the transition matrix PB2—>B1 (Please sho…

Let B = (2 0 0 0 -1 0 0 0 -2), C = 1/2(0 1 4 1 0 -2 2 3 8), E = (-9 -4 3 14 8 -4

Let B = (2 0 0 0 -1 0 0 0 -2), C = 1/2(0 1 4 1 0 -2 2 3 8), E = (-9 -4 3 14 8 -4 -3 -2 1). Let A = CBE. Explain why A is invertible. Find A^11 (-2 0 6) explaining your work Let A …

Let B = (a, b, c) be an ordered basis for a vector space V. Among the statements

Let B = (a, b, c) be an ordered basis for a vector space V. Among the statements below select the correct ones. - Warning: some false answers receive negative marks. Select one or…

Let B = {, , }. Applying the Gram-Schmidt algorithm gives the following orthogon

Let B = {, , }. Applying the Gram-Schmidt algorithm gives the following orthogonal (not orthonormal) basis derived from B, under the usual dot product: {, , ) Performing no calcul…

Let B = {5, {5, 7}, {5, 6, 7}, {7}, 7}. a. What is |B|? b. Which of the followin

Let B = {5, {5, 7}, {5, 6, 7}, {7}, 7}. a. What is |B|? b. Which of the following are true? {7} elementof B {5, 6, 7} Subsetequalto B 6 elementof B {5, 7} Subset B {5, {5, 7}, {5,…

Let B be a skew symmetric bilinear form on an n-dimensional vector space V over

Let B be a skew symmetric bilinear form on an n-dimensional vector space V over R. Together, we will show that there is a basis u1,..., uk, e1,...,em,f1,...,fm of V such that 1. B…

Let B be the language of all palindromes over {0,1} containing an equal number o

Let B be the language of all palindromes over {0,1} containing an equal number of 0s and 1s. Show that B is not context free

Let B be the set of all binary trees. Let 2 B denote the empty tree with no vert

Let B be the set of all binary trees. Let 2 B denote the empty tree with no vertices or edges. For any non-empty tree we write T = hL; Ri 2 B where L; R 2 B represent the left and…

Let B be the set of all binary trees. Let 2 B denote the empty tree with no vert

Let B be the set of all binary trees. Let 2 B denote the empty tree with no vertices or edges. For any non-empty tree we write T = hL; Ri 2 B where L; R 2 B represent the left and…

Let B element R^m times n and C element R^5 times 3 be matrices which have alrea

Let B element R^m times n and C element R^5 times 3 be matrices which have already been generated in the Command Window. Use two MATLAB statements in each part, the first generate…

Let B rightarrow = (7.8 m, 70 degree counterclockwise from the vertical). Part A

Let B rightarrow = (7.8 m, 70 degree counterclockwise from the vertical). Part A Find the x- and y-components of Bright in the coordinate system shown in the figure(Figfigures. En…

Let B= {P, Q, R), where P = (1 1 0), Q = (0 1 1), and R = (1 0 1). Show that B s

Let B= {P, Q, R), where P = (1 1 0), Q = (0 1 1), and R = (1 0 1). Show that B spans R^3. Let U = -2P. Show that B' = {U, Q, R} also spans R^3. Show that B" = {P - Q + 2R, Q, R} a…

Let Bi = {ul, ua) and B2 = {vi, v2} be the bases for R2 in which ui = (2, 2), u2

Let Bi = {ul, ua) and B2 = {vi, v2} be the bases for R2 in which ui = (2, 2), u2 = (4,-1), v-= (1.3), and v2 (-1,-1). (a) Find the transition matrix PB2Bi by row reduction. (b) Fi…

Let Bob’s public lock be (n, p) where n = q 1 q 2 . Assume p is a 400 digit prim

Let Bob’s public lock be (n, p) where n = q1q2. Assume p is a 400 digit prime and q1, q2 are 200 digit primes. In this question Alice is sending a message M to Bob, where 0 < M…

Let C = .|a b| |c d| |e f| (a) What is the biggest possible value of rank(C)? (b

Let C = .|a b| |c d| |e f| (a) What is the biggest possible value of rank(C)? (b) What is the smallest possible of rank(C)? (c) If C is the coefficient matrix of a homogeneous lin…

Let C = .|a b| |c d| |e f| (a) What is the biggest possible value of rank(C)? (b

Let C = .|a b| |c d| |e f| (a) What is the biggest possible value of rank(C)? (b) What is the smallest possible of rank(C)? (c) If C is the coefficient matrix of a homogeneous lin…

Let C be a counter-clockwise planar circle with center at the origin and positiv

Let C be a counter-clockwise planar circle with center at the origin and positive radius. Without computing them, determine for the following vector fields F whether the line inte…