Exercise 8 (Multiple Choice). Let X beinductively defined as the smallest set offinite number lists (taken from N*) satisfyingthe following closure properties:Given any natural number n from N, theset X contains the one-element list [n].Given anyX, the set Xalso contains the list[x1,x2,x3,..,Xn,y] where the additionalelement y is the product x1 × x2 × X3 × ·…list [x1,x2,x3,...,Xn] already in.........•..x Xn-Which of the following lists is NOT in X?[1,1,1,1,1][2,4,16,256](c) [3,3,9,81](d) [4,4,16,256]

[1,1,1,1] This is in X. We know that we have [1] in X From that we know we have [1,1] in X, because…

Exercise 8 (Multiple Choice). Let X be inductively defined as the smallest set of finite number lists (taken from N*) satisfying the following closure properties: Given any natural number n from N, the set X contains the one-element list [n]. Given any list [x1,x2,x3,..,Xŋ] already in X, the set Xalso contains the list [X1,x2,X3,...,Xy] where the additional element y is the product x1 × x2 × X3 × …* .... ... x Xn- Which of the following lists is NOT in X? [1,1,1,1,1] [2,4,16,256] (c) [3,3,9,81] (d) [4,4,16,256]

Exercise 8 (Multiple Choice). Let X be inductively defined as the smallest set of finite number lists (taken from N) satisfying the following closure properties: Given any natural number n from N, the set X contains the one-element list [n]. Given any list [x1,x2,x3,..,Xŋ] already in X, the set Xalso contains the list [X1,x2,X3,...,Xy] where the additional element y is the product x1 × x2 × X3 × … .... ... x Xn- Which of the following lists is NOT in X? [1,1,1,1,1] [2,4,16,256] (c) [3,3,9,81] (d) [4,4,16,256]

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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Sets are collections (1) without defined order and (2) not allowing duplication. Multisets, also called “bags” are collections without defined order but which permit duplication, i.e., more than one element. We define the function #(a B) to be the number of occurrences of the element a in the bag B. For example, #(1, [1 1 2 3 4 4 5]) is 2 and #(5, [1 1 2 3 4 4 5]) = 1. Bag union and intersection are defined in terms of #. bag-union: List × List -> List This function should take as arguments two lists representing bags and should return the list representing their bag-union. bag-intersection : List × List -> List This function should take as arguments two lists representing bags and should return the list representing their bag-intersection. Allowed functions. Your code must use only the following functions:1. define, let2. lambda, curry3. cons, car, cdr, list, list?, append, empty?, length, equal?4. and, or, not5. if, cond6. map, append-map, andmap, ormap, filter, apply7. +, -,…
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IN C++ PROGRAMMING
use python code
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