You are given this set of growth functions: n!, 2", 2n, 5n log n, 20n, 10n For the growth function 10n, type a value (a positive integer) for which this function is the most efficient of the six. If there is no integer value for which it is most efficent, type "none.

You are given this set of growth functions: n!, 2", 2n, 5n log n, 20n, 10n For the growth function 10n, type a value (a positive integer) for which this function is the most efficient of the six. If there is no integer value for which it is most efficent, type "none.

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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f:AB. A = {0, 1, 2}, B F(0) = 1, f(1) = 2, f(2) = 2 1. Is f, as described above, a function? If it is not a function, explain why. 2.If f is a function.Answer the following: a.lsfinjective? If it is not injective, explain why. {0, 1, 2} %3D b.lsf surjective? If it is not surjective, explain why. c.lsf bijective? If it is not bijective, explain why. d.Does f have an inverse? If f has an inverse, what is the domain and codomain of f? Use the name of the sets. Iff does not have an inverse, explain why. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt x? X, Te Ix 田田田网 ABC - へ Ť {;} O WORDS POWERED BY !!! 田

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A common way of implementing a max function is to look at the sign of a - b. In this case, we can't use a comparison operator on this sign, but we can use multiplication. Let k equal the sign of a - b such that if a - b >= 0, then k is 1. Else, k 0. Let q be the inverse of k.n implement the code:
C++ Programming Problem: You are given n sets S1, S2, ..., Sn . For each i, you want to choose x; E S;, such that the variance of the multiset {*1, x2,..., en} is minimized. The variance of a multiset {x1, x2, ..., xn} is defined as ri=1 where u is the mean, which equals n n Say the minimum possible variance is R. Print n² × R. It can be proved that n² R is always an integer. Input: 3371 25 11 Output: 4
Programming Lab:
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1. Arrange the following functions so that each function is the big-Oh of the next function. In other word, order them by their speed of growth in non-decreasing order. Group together those functions that are of the same order. бп х Ign In n? 2lgn en 2100 lg lgn 22" n3 3 4 x n2 n0.5 +1 n100 log n100 n log4 n 225n 100100100 Ig(n/2) 4n 1/n 4!gn n lg? n lg? n n² log n 1 n · 2" /logn
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* نقطتان (2) Which code would you use to find the value of the function f? f(x)=sin(x) + cos (x) + tan (x) at x = π/4 sin(45)+cos(45)+tan(45) O sin(45®)+cos(45®)+sin(45®) O sin(pi/4)+cos(pi/2)+tan(pi/4) sind (45)+cosd(45)+tand (45) sin(pi/4)+cos(pi/4)+tan(pi/4) O