EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 16, Problem 12A
To determine
The fraction or decimal equivalents of given number.
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In this exercise, we will investigate a technique to prove that a language is notregular. This tool is called the pumping lemma.The pumping lemma says that if M = (S, I, f, s0, F ) is a DFA with p states (i.e., p = |S|) and if the wordw is in L(M ) (the language generated by M ) and w has length greater than or equal to p, then w may bedivided into three pieces, w = xyz, satisfying the following conditions:1. For each i ∈ N, xy^i z ∈ L(M ).2. |y| > 0 (i.e., y contains at least one character).3. |xy| ≤ p (i.e., the string xy has at most p characters).
Use the pumping lemma to show the following language is not regular (HINT: Use proof by contradictionto assume the language is regular and apply the pumping lemma to the language):L = {0^k1^k | k ∈ N}
A prefix of length ℓ of some word w are the first ℓ characters (in order) of w.1. Construct a context-free grammar for the language: L = {w ∈ {a, b}∗ | every prefix of w has at least as many a’s as b’s}2. Explain why every word generated by your context-free grammar (in Part 1) is contained in L. Then,prove via induction that every w ∈ L is produced by your context-free grammar.
Chapter 16 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 16 - A sphere has a volume, V, of 12.249 cu in. Use the...Ch. 16 - Prob. 2ACh. 16 - Prob. 3ACh. 16 - Write 0.275 as a common fraction.Ch. 16 - Evaluate 734(916+212) .Ch. 16 - The feed on a lathe is set for 132inch. How many...Ch. 16 - Prob. 7ACh. 16 - Prob. 8ACh. 16 - Prob. 9ACh. 16 - Prob. 10A
Ch. 16 - Prob. 11ACh. 16 - Prob. 12ACh. 16 - Prob. 13ACh. 16 - Find the fraction or decimal equivalents of these...Ch. 16 - Prob. 15ACh. 16 - Prob. 16ACh. 16 - Prob. 17ACh. 16 - Prob. 18ACh. 16 - Prob. 19ACh. 16 - Prob. 20ACh. 16 - Prob. 21ACh. 16 - Prob. 22ACh. 16 - Prob. 23ACh. 16 - Prob. 24ACh. 16 - Prob. 25ACh. 16 - Prob. 26ACh. 16 - Prob. 27ACh. 16 - Prob. 28ACh. 16 - Prob. 29ACh. 16 - Solve these examples of combined operations. Round...Ch. 16 - Prob. 31ACh. 16 - Prob. 32ACh. 16 - A bronze bushing with a diameter of 22.225...Ch. 16 - A stamped sheet steel plate is shown in Figure...Ch. 16 - Prob. 35ACh. 16 - A slot is machined in a circular plate with a...Ch. 16 - A 60° slot has been machined in a fixture. The...
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