Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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- 3. The diagram below shows the main land routes for vehicular traffic between points A and G in a city. The figures in the arcs represent the cost of traveling between each pair of nodes. a) Manually apply Dijkstra's algorithm to find the cheapest route between A and G (visited nodes and total distance). b) Formulate a linear programming problem in extended form, to determine the shortest route to travel from A to G. Do not use subscripts, name 14 variables, for example XFE would be the variable that indicates that the arc from F to E is used. c) If there is a fixed cost for visiting each node, modify the formulation of the problem to include said fixed cost in the objective function, and the variables and restrictions that are required. NODE A B C D E F G FIXED COST 25 18 32 20 28 18 34arrow_forward6. (а) Show that (p^q)vr= (pvr)^(qvr)? (b) Determine whether the following argument is valid? If it rains today, the university will close, The university is not closed today. Therefore, it did not rain today (c) Prove the following statement: For all integers n and m, if m is even and n is odd, then mn is evenarrow_forwardPROBLEM 21 - 0533: Write a BASIC program to solve Laplace's equation (a²V/Əx?) + (a²V/ay²) = 0. Consider a rectangular 8 by 8 grid %3D with boundary conditions such that 3 sides are assumed to be at a potential of 100. The remaining side is at zero potential as shown. Solution: We use the replacement of partial derivatives by central differencesarrow_forward
- Part 2) Problem-8 in EECS1540-Additional Examples-06Mar2022.pdf solves a system of linear equations using Jacobi's method. Develop the following function based on the provided description below and the problem solution. function Jacobi (A, B) result (X) T----- ! This function solves a system of linear equations (with maximum 3 variables) using Jacobi's Method. ! If a system linear equations presented in matrix form as: [A]X=[B], this function will output X. The! ! output of the function, X, is a 3x1 vector which elements are the solutions of the linear system. real (kind=8), dimension (3,3), intent (in) :: A real (kind=8), dimension (3), intent (in) :: B real (kind=8), dimension (3) : :X Page 1 of 2 end function Jacobi Note: Below you can see a system of three linear equotions in three variables (left) and its matrix form representation (right). In the below matrix representation of the linear system, the 3x3 matrix on the left side of the equation is called coefficient matrix and the…arrow_forwardPROBLEM 24 - 0584: uses the modified Euler Write a FORTRAN program which method to simulate the growth of an isolated species from time t = 0 to t = tf, if the number of individuals at time t is N(t), N(0) = No and the rate of %3D population change (per unit of time), N, is given by: N = [K + E(t) - N/M)N] %D (1) where K and M are positive constants and E(t) is a periodic forcing input resulting from seasonal cycles, given by: Case 1: E(t) is sinusoidal with amplitude = A, period = 21/w, and phase angle p. Case 2: E(t) is a pulse train of width w, height, h and period Pw, P, h, w > 0, and starting at time t = t1 .arrow_forwardProblem 11. (i) Consider the following arithmetic problem ab*c de + fg hi where a, b, c, d, e, f, g, h, i stand for a nonzero digit, i.e., they are elements of the set {1,2,3, 4, 5, 6, 7,8, 9}, * denotes multiplication and + addition. Each nonzero digit occurs only once in the problem. Is there a solution? If so, is the solution unique? (ii) Write a C++ program that finds a solution (if one exists).arrow_forward
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