8) (1 mark) Prove that the L.H.S. & R.H.S for the following expressionare similar:A . (A'+ B) = A.B

Answered: 8) (1 mark) Prove that the L.H.S. &…

8) (1 mark) Prove that the L.H.S. & R.H.S for the following expression are similar: A . (A'+ B) = A.B

Truth table: A B A' B' (A'+B) A.(A'+B) A.B 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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(4) 4. Let P(x,y) = "x sent a text message to y." The u.d. for both x and y is all people. Translate into symbols: a. Everyone has sent a text message to someone. b. Everyone has been sent a text message by someone.
（Pyhton help）For Part a and b，PLS more details.
2-Determine the output of the following functions (You must show your works) c. (cdaaddaar '(((orange grape ((() apple () ()) banana))) apple banana)) Written explanation required
(b) Given the following argument: " The football game will be cancelled only If it rains " "it rained, therefore the football game was cancelled" Assume p means "it rains" whereas q means "football game cancelled" i. Translate this argument to a symbolic form. ii. Construct the truth table. iii. Determine if this argument is a valid argument or not. [6]
(1 point) Consider the points which satisfy the equation 3 y² = x² + ax + b mod p where a = 5, 61, and p = 7. Enter a comma separated list of points (x, y) consisting of all points in Z½-½ satisfying the equation. (Do not try to enter O, the point at infinity.) (0,1), (0.6),(1,0), (3,1), What is the cardinality of this elliptic curve group? 12
Let f(x)=√√x, g(x) = x + 12 and h(x) = Compute the following function value. (#)(4)
Question 1: Determine whether or not the following expressions are valid, i.e., whether the left- and right-hand sides represent the same function. (a) X1x3 + X1X2X3 +Xjx2 + xjX2 = I2X3 +xjX3 + x2ī3 +X¡X2X3 (b) x,X3 + x2x3 +ã2ã3 = (x1 +x2 + x3)(x1 + x2 +F3)(X1 + x2 + X3) (c) (x1 + x3)(X1 +x2 +X3)(X1 + x2) = (x1 + x2)(x2 +x3)(X1 + X3)
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…
PROBLEM 13. [TIME ALLOWED = 5 MINUTES] Give the contrapositive, converse, and inverse of the following proposition: “If the number is positive, then its square is positive.”
(“A Gentle Introduction to Optimization”, by B. Guenin, J. K ̈onemann and L. Tun ̧cel, Cam-bridge University Press, 2014) A chemical plant produces a noxious byproduct, called Chem-ical X, that is highly toxic and needs to be disposed of properly. The chemical plant isconnected by a pipe system to a recycling plant that can safely process Chemical X. Theamount of Chemical X produced in each hour of the day, according to a standard day’s pro-duction schedule, is shown in Table 1 (Chemical X is not produced in any hour omitted inthe table).Table 1: Amount of Chemical X produced during each of the day.Time interval 9-10am 10-11am 11am-12pm 12-1pm 1-2pm 2-3pmChemical X (litres) 300 240 600 200 300 900The chemical plant has a storage capacity of 1000 litres for Chemical X, and, for environmentalsafety reasons, no Chemical X can be kept, unprocessed, overnight at the chemical plant.The cost for the recycling plant to process Chemical X varies throughout the day, as given inTable 2.Table 2:…
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(A'+B)

A.(A'+B)