The domain of {\bf discourse} for this problem is a group of three people who are working on a project. To make notation easier, the people are numbered $1, \; 2, \; 3$. The predicate $M (x,\; y)$ indicates whether x has sent an email to Sy$, so $M(2, \;3)$ is read below shows the value of the predicate $M(x,\;y)$ for each $(x,\;y)$ pair. The truth value in row $x$ and column $y$ gives the truth value for $M (x , \; y) $. \\|\ Person $2$ has sent an email to person $3$.'' The table \begin{array}{||c||c|c|c||} \hline\hline M & 1 & 2& 3\\ \hline\hline 1 &T & T & T\\ \hline 2 &T & F & T\\ \hline 3 &T & T & F\\ \hline\hline \end{array} \]\\\\ {\bf Determine if the quantified statement is true or false. Justify your answer.}\\ \begin{enumerate}[label=(\alph*)] \item $\forall x \, \forall y \left(x\not= y)\;\to \; M(x,\;y)\right)$\\\\ %Enter your answer below this comment line. \\\\ \item $\foral1 x \, \exists y \;\; \neg M(x,\;y)$\\\\ %Enter your answer below this comment line. \\\\ \item $\exists x \, \foral1 y \;\; m(x,\;y)$\\\\ %Enter your answer below this comment line. \\\\ \end{enumerate}

The domain of {\bf discourse} for this problem is a group of three people who are working on a project. To make notation easier, the people are numbered $1, \; 2, \; 3$. The predicate $M (x,\; y)$ indicates whether x has sent an email to Sy$, so $M(2, \;3)$ is read below shows the value of the predicate $M(x,\;y)$ for each $(x,\;y)$ pair. The truth value in row $x$ and column $y$ gives the truth value for $M (x , \; y) $. \\|\ Person $2$ has sent an email to person $3$.'' The table \begin{array}{||c||c|c|c||} \hline\hline M & 1 & 2& 3\\ \hline\hline 1 &T & T & T\\ \hline 2 &T & F & T\\ \hline 3 &T & T & F\\ \hline\hline \end{array} \]\\\\ {\bf Determine if the quantified statement is true or false. Justify your answer.}\\ \begin{enumerate}[label=(\alph*)] \item $\forall x \, \forall y \left(x\not= y)\;\to \; M(x,\;y)\right)$\\\\ %Enter your answer below this comment line. \\\\ \item $\foral1 x \, \exists y \;\; \neg M(x,\;y)$\\\\ %Enter your answer below this comment line. \\\\ \item $\exists x \, \foral1 y \;\; m(x,\;y)$\\\\ %Enter your answer below this comment line. \\\\ \end{enumerate}

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

See similar textbooks

Similar questions

Suppose P(a) is the predicate "a is prime" and Q(a) is the predicate "a is divisible by 3", for all integers a. In the following, the domain is the set of integers. What is the truth value of ∃x(P(x)∧Q(x))? Justify your answer.
Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.)B(x): x is a ballR(x): x is roundS(x): x is a soccer balla. All balls are round.b. Not all balls are soccer balls.c. All soccer balls are round.d. Some balls are not round.e. Some balls are round but soccer balls are not.f. Every round ball is a soccer ball.g. Only soccer balls are round balls.h. If soccer balls are round, then all balls are round.
Note that for this question, you can in addition use ``land'' for the symbol ∧ ``lor'' for the symbol ∨ ``lnot'' for the symbol ¬. Given the following three sentences:A) Every mathematician is married to an engineer.B) A bachelor is not married to anyone.C) If George is a mathematician, then he is not a bachelor. a) Convert A,B,C into three FOL sentences, whereMn(x): x is a mathematician.Er(x): x is an engineer.Md(x,y): x is married to y.Br(x): x is a bachelor.george: George is a constant. b) Show that A does-not-entail C. (Hint: Consider defining an interpretation I such that I models A, but does-not-model C.)c) Show that {A,B} entails C. (Hint: For a given interpretation I, consider two difference cases, the case where Mn(george) is true, and the case Mn(george) is false. For both cases, argue that it is always that I models C).d) Convert A,B, lnot C into a set of clausal forms, number your clauses. (Note that C is negated here!) e) Derive the empty clause from the set of clauses…
"Equatable and Comparable" in the Swift Programming: The Big Nerd Ranch Guide (2nd Ed.) e-book: Point’s current conformance to Comparable yields some confusing results. let c = Point(x: 3, y: 4) let d = Point(x: 2, y: 5) let cGreaterThanD = (c > d) // false let cLessThanD = (c < d) // false let cEqualToD = (c == d) // false As the above example demonstrates, the trouble arises in comparing two points when one point’s x and y properties are not both larger than the other point’s. In actuality, it is not reasonable to compare two points in this manner. Fix this problem by changing Point’s conformance to Comparable. Calculate each point’s Euclidean distance from the origin instead of comparing x and y values. This implementation should return true for a < b when a is closer to the origin than b. Use the formula shown in below Figure 25.1 to calculate a point’s Euclidean distance. Figure 25.1 Euclidean distance Euclidean distance
Using the predicate symbols shown and the appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.) B(x): x is a bee. F(x): x is a flower. L(x, y): x loves y All bees love all flowers which one from this Group of answers is the correct a. (∀x)(B(x) → [(∃y)(F(y) ∧ L(x, y)] b. (∀x)(B(x) → [(∀y)(F(y) ∧ L(x, y)] c. (∀x)(B(x) → [(∀y)(F(y) → L(x, y)] d. (∀x)(B(x) ∧ [(∃y)(F(y) → L(x, y)]
Consider a simple program to classify a triangle. Its inputs is a triple of positive integers (say x, y, z)and the date type for input parameters ensures that these will be integers greater than 0 and less thanor equal to 100. The program output may be one of the following words: [Scalene; Isosceles;Equilateral; Not a triangle].Design the boundary value test case, Equivalence Class Testing for the above cases.
I. Let P (x) be the statement “2x = x2 .” If the domain consists of the integers, what are the truth values? a) P(0) b) P(1) c) P(2) d) P(−1) e) ∃x P(x) f ) ∀x P(x) 2. Let Q(x) be the statement “x > x - 1.” If the domain consists of all integers, what are the truth values? a) Q(10) b) Q(−2) c) Q(999) d) ∃x Q(x) e) ∀x Q(x) f) ∃x ˺Q(x) g) ∀x ˺Q(x)
Using the predicate symbols shown and the appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.) D(x): x is a day S(x): x is sunny R(x): x is rainy M: Monday T: Tuesday All days are sunny. which of these answers are right? a. (∀x)[D(x) ∧ S(x)] b. (∀x)[D(x) → S(x)] c. (∃x)[D(x) ∧ S(x)] d. (∃x)[D(x) → S(x)
In this task, we would like for you to appreciate the usefulness of the groupby() function of itertools . To read more about this function, Check this out . You are given a string . Suppose a character '' occurs consecutively times in the string. Replace these consecutive occurrences of the character '' with in the string. For a better understanding of the problem, check the explanation. Input Format A single line of input consisting of the string . Output Format A single line of output consisting of the modified string. Constraints All the characters of denote integers between and . Sample Input 1222311 Sample Output (1, 1) (3, 2) (1, 3) (2, 1) Explanation First, the character occurs only once. It is replaced by . Then the character occurs three times, and it is replaced by and so on. Also, note the single space within each compression and between the compressions.
Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.)J(x): x is a judgeL(x): x is a lawyerW(x): x is a womanC(x): x is a chemistA(x, y): x admires ya. There are some women lawyers who are chemists.b. No woman is both a lawyer and a chemist.c. Some lawyers admire only judges.d. All judges admire only judges.e. Only judges admire judges.f. All women lawyers admire some judge.g. Some women admire no lawyer.
Please write a python program with explanation data structure& algorithm and time &space complexity Given a list of [personName, accessTime], for each person, return the earliest 1-hour interval in which he has swipe badges 3 or more times, e.g.[A, 0], [A, 5], [A, 59], [A, 60] ,[A, 61]return [A, 0], [A, 5], [A, 59], [A, 60] not [A, 5], [A, 59], [A, 60] ,[A, 61]
Translate these statements into English, where C(x) is “x is a comedian” and F(x) is “x is funny” andthe domain consists of all people.a) ∀x(C(x) → F(x))b) ∀x(C(x) ∧ F(x))c) ∃x(C(x) → F(x))