Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
4th Edition
ISBN: 9780134787961
Author: Tony Gaddis, Godfrey Muganda
Publisher: PEARSON
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Chapter 20, Problem 5SA
Program Plan Intro

Array implementation of stack:

  • A stack is a linear data structure.
  • It follows the order last-in-first-out (LIFO) for performing operations.
  • When stack is implementing using an array, create an array with enough memory to hold the stack elements.
  • Use integer index “top” for pointing to the top most element of the stack.
  • If the element is added into the stack, it checks whether it has sufficient memory to hold the number. If the memory is available, then it will increase the value of “top” and new item is added to that position.
  • If the items are removed from the stack, it will check whether stack contains element or not. If elements are available, then the “top” is decremented for deleting element in that position.

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[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ƒ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.
Question 1 Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule. Question 2 Construct a frequency polygon density estimate for the sample in Question 1, using bin width determined by Sturges’ Rule.
Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule.
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