Identify p, q and r, then use the Law of Syllogism and a truth table to determine if the argument is valid orinvalid.The Law of Syllogism:[(P-4) ^ (q-r)]→(p→r), or, or[(p-q) ^ (qr)]–→(r→p)2.) Given the following argument:a) If you get an A in finite math, then you will pass finite math.b) If you pass finite math, then your parents will buy you a car.c) If you get an A in finite math, then your parents will buy you a car.Identify p, q, and r:Ir:p:9:r:Build a truth table:TTTTTFTFTTFFFTTFTFFFTFFFIs the argument valid or invalid? Why?

Answered: Image /qna-images/answer/8b33f4cb-59b2-4e4d-8b8a-5a6cae7d5d42.jpg

Answered: 2.) Given the following argument: a) If…

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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(a) Given a DFA M = (Q, Σ, δ, q0, F), consider M' = (Q, Σ, δ, q0, F'), where F' = Q − F. Prove that L(M') is the complement of L(M). (b) Give a counter-example to show that the above construction with NFAs does not (always) yield the complement.
we represent the finite-length signals as vectors in Euclidean space, many operations on signals can be encoded as a matrix-vector multiplication. Consider for example a circular shift in C: a delay by one (i.e. a right shift) transforms the signal x = (xo X1 X2]" into x = [xı xo xz]" and it can be described by the matrix TO D = [0 1 0'0 0 1'1 0 0] so that x = Dx. Determine the matrix F that implements the one step difference operator in C ie the operator that transforms a signal x into [(x - x)(x1 - x0)(x2 - 1)]
Show that (RA4) is independent of the other axioms of RA. (RA = Robinson's Arithmetic) Hint. Try something like this: U = {1, 2, 3, 4, . . .} I(o) = 1 I(+) = + I(x) = ⊗ I(s) = S Where + and S are the addition and successor functions on {1, 2, 3, . . .}. Your task is to come up with a definition of the binary function ⊗ on U so that (RA6) and (RA7) are true in M.
For f (a, b) = (a | b) | b(a) Simplify f (a, b).(b) Find DNF for f (a, b).(c) Is f (a, b) satisfiable?
Determine which of the examples (R₁), (R, +), (M₂ (R), .), and (P(X), U) have idempotents. Try to find all idempotents in each case.
Could you assist me with this issue? I'm finding it challenging to grasp the solution. Would you mind providing a step-by-step walkthrough along with a comprehensive explanation? question that I need help with: Show that P is closed under union, concatenation, and complement.
Show that ((p→q) v (~(p ^ ~q) ^ T)) ≡ ~p v q using the logical equivalences.
Answer the given question with a proper explanation and step-by-step solution. Data Structures - Order functions from slowest to fastest 3n, 2n, 5n2 + 2n - 2, n log n, log(n2), 100n + n log n, 2n3
Define a sequence c0, c1, c2, … of pictures recursively as follows:For all integers i ≥ 1 Initial Conditions, c0 = an upright equilateral triangle ?. Recurrence Relation, ci = in centre of each upright equilateral triangle in ci-1, draw an upside down equilateral triangle ? such that its corners touch the edges of the upright one. Draw the first 4 iterations, starting with c0. You may want to draw c3 large. Each should be a separate drawing.Get your work checked by an IA/TA/Instructor. Count the total # of triangles for each iteration in a).Note: Triangles can be of any orientation.Only count the individual triangles. Do not count a triangle which has triangles inside it. Determine T(0), the # of triangles in the 0th term. Determine the recurrence relation, T(n), that gives the # of triangles in the nth term, for n ≥ 1.
Pls Use Python Using NumPy, write the program that determines whether the A=({{1, 5, -2}, {1, 2, -1}, {3, 6, -3}}) matrix is nilpotent. Itro: Nilpotent Matrix: A square matrix A is called nilpotent matrix of order k provided it satisfies the relation, Ak = O and Ak-1≠O where k is a positive integer & O is a null matrix of order k and k is the order of the nilpotent matrix A . The following picture is an example of the intro: Ps: Please also explain step by step with " # "
Consider the following for loops in R. For each for loop, list the values (in order) that the variable i takes on in the body of the loop. Briefly (in no more than a few sentences) explain why. a) for(i in 1+2:3.4*5) { } b) for(i in dim(matrix(0, nr = 7, nc = 8))) { } c) for(i in rnorm(3)) { } d) for(i in iris[1:3,3]) { } e) for(j in c(1, 2, 3, 4, 5)) { } f) for(i in (function(x) x*x)(c(1, 2, 3))) { } g) for(i in NULL) { } h) for(i in strsplit(as.character(4*atan(1)),’’) [[1]][1:10]) { }
Reduce the proposition using laws. Simplify (q∨p)∧(¬p∨q) to q Select a law from below to apply to: (q∨p)∧(¬p∨q) Laws Distributive (a∧b)∨(a∧c)≡a∧(b∨c) (a∨b)∧(a∨c)≡a∨(b∧c) Commutative a∨b≡b∨a a∧b≡b∧a Complement a∨¬a≡T a∧¬a≡F Identity a∧T≡a a∨F≡a Double negation ¬¬a≡a

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