. Given a proof by contradiction (PBC) whose support is 1 and whose original premises are false, the negation of the conclusion (i.) is true (ii.) might be true (iii.) is false (iv.) can't be evaluated for truth. (Ch 15)
Option 3 is the correct answer.
Is false - whose original premises are false the negation of the conclusion is false.
. Given a proof by contradiction (PBC) whose support is 1 and whose original premises are...
please answer 11, 12, and 13 thanks Expert Q&A Done QUESTION 11 1. The greedy best-first search algorithm is complete. True False 2. QUESTION 12 1. A and B are propositions, Given the equality PIAB) x and the following statements. (A means negation A) ii) B ->P(A) x (iii) P(Al-B)-1-X (iv) P(-AIB) 1-x Which of the above statements are necessarily true? a. only (i) and (ii) b.only (i) and (iii) c. only (iv) only (ii) and (iv) QUESTION 13 ....
01 03 are word problems given as a sequence of hypotheses/ premises ending with "Therefore conclusion". Show that each word problem is a valid argument Use rules of inference to show steps and reasons in the proof. 1) If I take a bus or subway then I'll be late for my appointment. If I take a taxi then I will be on time for my appointment and I will be broke. If I don't take the subway and don't take...
Let X be a discrete random variable whose value is given by the number of successes observed on a series of 10 Bernoulli trials in which the probability of success is 1/3. Which of the following statements is or are true? I. X = B(10, 1/3) II. The only possible values of X are the integers 1 through 10 inclusive. III. If Y=10 - X, then Y = B(10, 2/3). A. I only B. I and II only C. I...
What is the IUPAC name of the given molecule? OH Br 1-bromo-2-ethyl-2-hydroxy-3-methylpentanoic acid 2-ethyl-3-methylpentan-2-ol-1-carboxyl bromide 2-ethyl-3-methyl-2-ol-pentanoyl bromide O2-ethyl-2-hydroxy-3-methylpentanoyl bromide What statement is TRUE about the mechanism for the reaction shown here? CH,(CH)2CO,CH, NaOH CH3(CH12COCH excess heat CH3(CH)2CO,CH2 Water attacks the carbonyl carbon to form a tetrahedral intermediate. The first step of the reaction involves protonation of the ester carbonyl oxygen. One of the products formed is glycerol. The hydroxide deprotonates the alpha carbon. Which bases among the following is/are used...
1- Given the following Boolean function in product of sums (Maxterms); F(b,c,d) = (b+c+d) (b+c+d) (b +c+d) (b+c+d) i- Use De Morgan's rule to convert Finto F ii- Complete the truth table (Table 1) iii- Simplify Fusing Boolean algebra iv- Count the number of gates in the original Fand insert them in Table.2 V- Count the number of gates in the simplified F (convert the simplified F'in part iii back to F) and insert them in Table.3 i- F' Table.1...
(5 Marks) B. Answer the questions based on the structures given below i. ii. нонс нонс OH CH HOR OH HO CHOH CH, OH CH OH HO HOM H -OH CH, OH c. Identify the compounds ii, iii and iv as D or L. Explain how you came to this conclusion (2 marks) d. Draw the Fischer projection, enantiomer and indicate which carbons are chiral or achiral for the compound ii. (3 marks) e. Among the compounds iii and iv...
3. Consider a rigid rotor whose Hamiltonian is given by H L2(21) where L is the angular momentum operator and I is the moment of inertia of the rotator. Its rotation is described by a wave function: (0, N{Yo0(0,6)(1 3i) Y1-1(0,6) 2 Y21(0.0) Y20(0.) Find the normalization constant, N. (i) Find the probability to occupy state Yo0- (ii Find the expectation value of L2 of this state (iii Find the expectation value of L2 of this state (iv) Find (L2L2/21...
Mathematical Statistics (1) Exercise6TROSS12⑥4, 276.29) alet X-(X1,X2) be a random vector with probability density function given by (zi,T2) = 24x1x2 with support determined by 0 < xi + X2く1,21 > 0,x2 > 0. Determine each of the following. (i) fi(xı) (ii) f2(t2) (iii) E(X1%) (iv) E( %)
1. (14 points) (a) For each of the following relations R on the given domains A, categorize them as not an equivalence relation, an equivalence relation with finitely many distinct equivalence classes, or an equivalence relation with infinitely many distinct equivalence classes. Justify each decision with a brief proof. (i) A = {1, 2, 3} , R = {(1, 1),(2, 2),(3, 3)} (ii) A = R, R = {(x, y) | x 2 = y 2} (iii) A = Z,...
CSCI/MATH 2112 Discrete Structures I Assignment 1. Due on Friday, January 18, 11:00 pm (1) Write symbolic expression for each of the statements below; then work out their negations; finally expressing each as complete sentence in English: (a) Roses are red, violets are blue. (b) The bus is late or my watch is slow. (c) If a number is prime then it is odd or it is 2. (d) If a number x is a prime, then (root ) x...