- If B represented the set of Boolean values true and false, then the set of Boolean functions B x B → B is... A) finite B) uncountably infinite C) countably infinite - The set of functions from {0,1} to N is... A) finite B) uncountably infinite C) countably infinite - The set of functions from N to {0,1} is... A) finite B) uncountably infinite C) countably infinite

- If B represented the set of Boolean values true and false, then the set of Boolean functions B x B → B is... A) finite B) uncountably infinite C) countably infinite - The set of functions from {0,1} to N is... A) finite B) uncountably infinite C) countably infinite - The set of functions from N to {0,1} is... A) finite B) uncountably infinite C) countably infinite

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

Correct answer will be upvoted else downvoted. Computer science. You are given two integers n and k. You ought to make a variety of n positive integers a1,a2,… ,a to such an extent that the total (a1+a2+⋯+an) is distinguishable by k and greatest component in an is least conceivable. What is the base conceivable most extreme component in a? Input The primary line contains a solitary integer t (1≤t≤1000) — the number of experiments. The solitary line of each experiment contains two integers n and k (1≤n≤109; 1≤k≤109). Output For each experiment, print one integer — the base conceivable most extreme component in cluster a to such an extent that the aggregate (a1+⋯+an) is distinct by k.
Are the functions one to one or onto only? I. f : N → Z : x ↔ x II. f : N → N : x ↔ x III. f : Z → N ∪ {0} : x ↔ |x|
Long chain of friends: You are given a list of people, and statements of the form “x knows y”. You are asked to find, is there a chain of k distinct people, such as x1 knows x2, x2 knows x3, and xk-1 knows xk. Prove that this problem is NP-complete by using one of the known NP-complete problems (CLIQUE, 3-SAT, Hamiltonian Path, Hamiltonian Cycle, Independent Set, etc.)
Prove that the following problem, given a set S of integers and a number t, is of the NP class. Is there a subset of S whose elements add up to t?Note: An issue with data structures and algorithms
9. Is the following statement TRUE or FALSE? If it is TRUE, prove it, and if it is FALSE, provide a counter-example.If f: S→T is a function, where |S| > |T| (and both are finite sets), then there exist elements s1 and s2 in S such that fs1()=fs2()
Let f (n) and g(n) be functions with domain {1, 2, 3, . . .}. Prove the following: If f(n) = O(g(n)), then g(n) = Ω(f(n)).
(a) Let L = {w ∈ {0, 1}* : w does not end in 01} (a) Show a regular expression that generates L. (b) Show an FSM that accepts L.
Prove or disprove each of the following statements. To prove a statement, you should provide a formal proof that is based on the definitions of the order notations. To disprove a statement, you can either provide a counter example and explain it or provide a formal proof. All functions are positive functions. Ex.) f(n) (g(n)) ⇒ g(n) = O(f(n)) f(n) € (g(n)), for large values of n we have M₁g(n) ≤ f(n) ≤ M2g(n) for some M₁ and M₂. This means we have f(n) ≤ g(n) ≤ f(n), which shows g(n) = (f(n)). a) f(n) o(g(n)) and f(n) & w(g(n)) ⇒ f(n) = O(g(n)) b) f(n) = (h(n)) and h(n) = (g(n)) ⇒ f(n) ΕΘ(1) g(n) c) f(n) (g(n)) ⇒ 2f(n) = (29(n))
Given the following recursively defined set S: Basis: 0 € S and 7 € S Recursive rule: if x ES and y = S, then: • x+yЄS x-yes Prove that every element in S is divisible by 7.
Determine whether each of the following functions f : {a,b,c,d} -> {a,b,c,d} is one-to-one and/or onto. (a) f(a) = b, f(b) = a, f(c) = b, f(d) = c (b) f(a) = b, f(b) = b, f(c) = d, f(d) = c (c) f(a) = b, f(b) = a, f(c) = c, f(d) = d (d) f(a) = d, f(b) = a, f(c) = c, f(d) = b (e) f(a) = c, f(b) = d, f(c) = a
Write the following as proposition: For every integer n, there exists an integerm such that m > n?