p.87, icon at Example 3#2. Suppose we need to prove that this statement is true for all integers n, using the definitions of even integer andodd integer:If 7n 5 is odd, then n is even.

To prove the statement "If n - 5 is odd, then n is even" using the definitions of even and odd…

Answered: p.87, icon at Example 3 #2. Suppose we…

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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Given the following NDFSM M, the correct statements are: q0 8 b a q1 94 a b a a q2 q5 a 93 L(M) = {w € {a, b}*: w contains aaa or bab or w| is even). OL(M) = {w € {a, b}*: w contains aaa or bab or w| is odd}. L(M) = {w € {a,b}*: The 2nd to the last character of w is a or|w| is even}. L(M) = {w = {a, b}*: The 2nd to the last character of w is a or |w| is odd}.
3
Suppose that a “word” is any string of seven letters of the alphabet, with repeated letters allowed. How many words begin with A or B? 526 2*(266) 2*(265) 525 Which of the following is the number of words of seven letters of the alphabet, with repeated letters allowed, that have exactly one vowel? 5*206 5*7*206 5*7*216 5*216
A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: 1) The year must be divisible by 4 2) If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. Ex: If the input is: 1712 output: 1712 is a leap year. input: 1913 output: 1913 is not a leap year. Your program must define and call the following function. The function should return true if the input year is a leap year and false otherwise.def is_leap_year(user_year) My Code: def is_leap_year(user_year):if((user_year % 4 == 0 and user_year % 100 != 0) or (user_year % 400 == 0)):print("{} is a leap…
Additional information: r(x) is the open statement "x>0". The universe is integers.
In the example below, the sum of the fourth powers of each digit that forms the 4-digit numbers gives the number itself: 1634 = 14 + 64 + 34 + 44 8208 = 84 + 24 + 04 + 84 9474 = 94 + 44 + 74 + 44 And sum of these numbers is 1634 + 8208 + 9474 = 19316. Find the sum of all numbers that can be written as the sum of the fifth forces of their numbers. (P.s.: You have to done it by C++)
TM M = (Q, E, I, 6, 90, 9a, qr), where Q = {90, 91, 92, 9a, 9r}, Σ = {0, 1}, r = {0, 1, L}, and 8 is: 8(qo, U) = (qr, U, R) 8(90, 0) = 8(go, 1) (91, 0, R) (qo, 1, R) = 8(g1, L) = (ga, U, R) 8(91,0) = (91, 0, R) 8(91, 1) = (92, 1, R) = (92, U, R) 8(92, U) 8(92, 0) = (90, 0, R) 8(92, 1) = (92, 1, R) i. Prove that M is NOT a decider. ii. Mathematically describe the language A that M recognises. Prove that A ≤ L(M). iii. Prove A = L(M). iv. Is A Turing-decidable? [Give clear reasons for your answer. No need for a formal proof.]
If a, b, and c are the three sides of a triangle, then its area is, Area = √[s(s-a)(s-b)(s-c)] Here, "s" is the semi-perimeter of the triangle, i.e., s = (a + b + c)/2. However to be a valid triangle “the summation of any two sides should be greater than the third side.” i) Now Design a Class Triangle with a method checkValid() that returns true if it satisfies the criteria of a valid triangle. ii) Write down a method throwException() that uses the checkValid() and throws OwnException as described below. iii) Your own Exception class OwnException will throw an Exception if the valid triangle criteria is not satisfied with the information of “Not a real triangle” with the values of three sides. iv) A triangle object can be only instantiated with the value of three sides if it is a valid triangle otherwise an exception will be thrown. Similarly changing the sides of a triangle is possible if it satisfies the above criteria otherwise an exception will be thrown. v) In the Driver Class get…
Two n-digit integers (leading zeros allowed) are considered equivalent if one is a rearrangement of the other (for example 12033, 20331 and 01332 are considered equivalent five digit integers.) a) We need to find the number of five digit integers that are not equivalent. b)We need to find the number of non equivalent five digit integers if the digits 1, 3 and 7 can appear at most once. c) When all three digits (1,3,7) appear once.
A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: 1) The year must be divisible by 4 2) If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. Ex: If the input is: 1712 output: 1712 is a leap year. input: 1913 output: 1913 is not a leap year. Your program must define and call the following function. The function should return true if the input year is a leap year and false otherwise.def is_leap_year(user_year) My Code: def is_leap_year(user_year):if((user_year % 4 == 0 and user_year % 100 != 0) or (user_year % 400 == 0)):print("{} is a leap…
p.278, icon at Example 6 #2. Suppose the odd primes 3,5,7, 11, 13, 17, ... in order of increasing size are P1, P2, P3 · Prove or disprove: PiPi+1 +2 is prime, for all i ≥ 1.
A typical roulette wheel used in a casino has 38 slots that are numbered 1,2,3,....,36,0,00, respectively. Half of the remaining slots are red and half are black. Also, half of the integers between 1 and 36 inclusive are odd, half are even, and 0 and 00 are defined to be neither odd nor even. A ball is rolled around the wheel and ends up in one of the slots; we assume each slot has equal probability of 1/38, and we are interested in the number of the slot into which the ball falls. (a)Define the Sample space S. (b)Let A = {0,00}. Give the value of P(A). (c) Let B = {14,15,17 18}. Give the value of P(B). (d) Let D = {x:x is odd}. Give the value of P(D).

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p.87, icon at Example 3 #2. Suppose we need to prove that this statement is true for all integers n, using the definitions of even integer and odd integer: If 7n 5 is odd, then n is even.