Discrete Mathematics With Applications
5th Edition
ISBN: 9781337694193
Author: EPP, Susanna S.
Publisher: Cengage Learning,
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 12.2, Problem 4ES
To determine
(a)
To find:
The states of given finite-state automation.
To determine
(b)
To find:
The input symbols of given finite-state automation.
To determine
(c)
To find:
The initial states of given finite-state automation.
To determine
(d)
To find:
The accepting states of given finite-state automation.
To determine
(e)
To write:
The annotated next-state table of given finite-state automation.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
3. Given the function h(x)=(x²+x-12 if x≤1
3-x
if x>1'
a) Graph the function h(x). Make the graph big enough to be easily read using the space below.
Be sure to label all important aspects of the graph.
b) Find all values of x where the function is discontinuous.
c) Find the limit from the left and from the right at any values of x found in part b.
2. Find the instantaneous rate of change for each function f(x)=2x²-x+3 at x=0..
4x-3
2. Determine the interval over which the function
is continuous.
x+4
Chapter 12 Solutions
Discrete Mathematics With Applications
Ch. 12.1 - If x and y are strings, the concatenation of x and...Ch. 12.1 - Prob. 2TYCh. 12.1 - Prob. 3TYCh. 12.1 - Prob. 4TYCh. 12.1 - Prob. 5TYCh. 12.1 - Prob. 6TYCh. 12.1 - Prob. 7TYCh. 12.1 - Use of a single dot in a regular expression stands...Ch. 12.1 - Prob. 9TYCh. 12.1 - If r is a regular expression, the notation r +...
Ch. 12.1 - Prob. 11TYCh. 12.1 - Prob. 12TYCh. 12.1 - Prob. 1ESCh. 12.1 - Prob. 2ESCh. 12.1 - Prob. 3ESCh. 12.1 - In 4—6, describe L1L2,L1L2, and (L1L2)*for the...Ch. 12.1 - Prob. 5ESCh. 12.1 - Prob. 6ESCh. 12.1 - Prob. 7ESCh. 12.1 - Prob. 8ESCh. 12.1 - In 7—9, add parentheses to emphasize the order of...Ch. 12.1 - Prob. 10ESCh. 12.1 - In 10—12, use the rules about order of precedence...Ch. 12.1 - Prob. 12ESCh. 12.1 - In 13—15, use set notation to derive the language...Ch. 12.1 - Prob. 14ESCh. 12.1 - Prob. 15ESCh. 12.1 - Prob. 16ESCh. 12.1 - In 16—18, write five strings that belong to the...Ch. 12.1 - Prob. 18ESCh. 12.1 - Prob. 19ESCh. 12.1 - Prob. 20ESCh. 12.1 - In 19—21, use words to describe the language...Ch. 12.1 - Prob. 22ESCh. 12.1 - In 22—24, indicate whether the given strings...Ch. 12.1 - Prob. 24ESCh. 12.1 - Prob. 25ESCh. 12.1 - Prob. 26ESCh. 12.1 - In 25—27, find a regular expression that defines...Ch. 12.1 - Let r, s, and t be regular expressions over...Ch. 12.1 - Prob. 29ESCh. 12.1 - Prob. 30ESCh. 12.1 - Prob. 31ESCh. 12.1 - In 31—39, write a regular expression to define the...Ch. 12.1 - Prob. 33ESCh. 12.1 - Prob. 34ESCh. 12.1 - Prob. 35ESCh. 12.1 - Prob. 36ESCh. 12.1 - Prob. 37ESCh. 12.1 - Prob. 38ESCh. 12.1 - Prob. 39ESCh. 12.1 - Prob. 40ESCh. 12.1 - Write a regular expression to define the set of...Ch. 12.2 - The five objects that make up a finite-state...Ch. 12.2 - The next-state table for an automaton shows the...Ch. 12.2 - In the annotated next-state table, the initial...Ch. 12.2 - A string w consisting of input symbols is accepted...Ch. 12.2 - The language accepted by a finite-state automaton...Ch. 12.2 - If N is the next-stale function for a finite-state...Ch. 12.2 - One part of Kleene’s theorem says that given any...Ch. 12.2 - The second part of Kleene’s theorem says that...Ch. 12.2 - A regular language is .__________Ch. 12.2 - Given the language consisting of all strings of...Ch. 12.2 - Find the state of the vending machine in Example...Ch. 12.2 - Prob. 2ESCh. 12.2 - Prob. 3ESCh. 12.2 - Prob. 4ESCh. 12.2 - Prob. 5ESCh. 12.2 - In 2—7, a finite-state automaton is given by a...Ch. 12.2 - In 2—7, a finite-state automaton is given by a...Ch. 12.2 - In 8 and 9, a finite-state automaton is given by...Ch. 12.2 - In 8 and 9, a finite-state automaton is given by...Ch. 12.2 - A finite-state automaton A given by the transition...Ch. 12.2 - A finite-state automaton A given by the transition...Ch. 12.2 - Prob. 12ESCh. 12.2 - Consider again the finite-state automaton of...Ch. 12.2 - In each of 14—19, (a) find the language accepted...Ch. 12.2 - Prob. 15ESCh. 12.2 - Prob. 16ESCh. 12.2 - Prob. 17ESCh. 12.2 - Prob. 18ESCh. 12.2 - Prob. 19ESCh. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - Prob. 21ESCh. 12.2 - Prob. 22ESCh. 12.2 - Prob. 23ESCh. 12.2 - Prob. 24ESCh. 12.2 - Prob. 25ESCh. 12.2 - Prob. 26ESCh. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - Prob. 28ESCh. 12.2 - Prob. 29ESCh. 12.2 - Prob. 30ESCh. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - Prob. 32ESCh. 12.2 - Prob. 33ESCh. 12.2 - Prob. 34ESCh. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - Prob. 36ESCh. 12.2 - Prob. 37ESCh. 12.2 - Prob. 38ESCh. 12.2 - Prob. 39ESCh. 12.2 - Prob. 40ESCh. 12.2 - Prob. 41ESCh. 12.2 - Prob. 42ESCh. 12.2 - Prob. 43ESCh. 12.2 - Prob. 44ESCh. 12.2 - Prob. 45ESCh. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - Prob. 47ESCh. 12.2 - Prob. 48ESCh. 12.2 - Write a computer algorithm that simulates the...Ch. 12.2 - Prob. 50ESCh. 12.2 - Prob. 51ESCh. 12.2 - Prob. 52ESCh. 12.2 - Prob. 53ESCh. 12.2 - a. Let A be a finite-state automaton with input...Ch. 12.3 - Given a finite-state automaton A with...Ch. 12.3 - Prob. 2TYCh. 12.3 - Given states s and t in a finite-state automaton...Ch. 12.3 - Prob. 4TYCh. 12.3 - Prob. 5TYCh. 12.3 - Consider the finite-state automaton A given by the...Ch. 12.3 - Consider the finite-state automaton A given by the...Ch. 12.3 - Consider the finite-state automaon A discussed in...Ch. 12.3 - Consider the finite-state automaton given by the...Ch. 12.3 - Consider the finite-state automaton given by the...Ch. 12.3 - Consider the finite-state automaton given by the...Ch. 12.3 - Prob. 7ESCh. 12.3 - Prob. 8ESCh. 12.3 - Prob. 9ESCh. 12.3 - Prob. 10ESCh. 12.3 - Prob. 11ESCh. 12.3 - Prob. 12ESCh. 12.3 - Prob. 13ESCh. 12.3 - Prob. 14ESCh. 12.3 - Prob. 15ESCh. 12.3 - Prob. 16ESCh. 12.3 - Prob. 17ESCh. 12.3 - Prob. 18ES
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 1. Find the average rate of change for the following functions over the given intervals. a) f(x)=4x-2x²+3x between x=-1 and x=4 b) y lnx between x=1 and x=4arrow_forward1. Find all values x=a where the function is discontinuous, determine if the discontinuity is removable or non- removable. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist and explain how you know. a) f(x)= 2-x x²(x+5) b) f(x)= x²-9x x²+3x c) p(x)=-3x²+2x²+5x-8arrow_forwardTask Description: Read the following case study and answer the questions that follow. Ella is a 9-year-old third-grade student in an inclusive classroom. She has been diagnosed with Emotional and Behavioural Disorder (EBD). She has been struggling academically and socially due to challenges related to self-regulation, impulsivity, and emotional outbursts. Ella's behaviour includes frequent tantrums, defiance toward authority figures, and difficulty forming positive relationships with peers. Despite her challenges, Ella shows an interest in art and creative activities and demonstrates strong verbal skills when calm. Describe 2 strategies that could be implemented that could help Ella regulate her emotions in class (4 marks) Explain 2 strategies that could improve Ella’s social skills (4 marks) Identify 2 accommodations that could be implemented to support Ella academic progress and provide a rationale for your recommendation.(6 marks) Provide a detailed explanation of 2 ways…arrow_forward
- 1. Iodine-131 is tone of the most commonly used radioactive isotopes of iodine. It is used to treat hyper- thyroidism and some kinds of thyroid cancer. (a) Iodine-131 has a half-life of about 8 days. Find an expression for I(t), the mass of Iodine-131 remaining after t days, in terms of t and Io, the initial mass of Iodine-131 present at time t = 0. (b) If a dose of 0.9 mg of Iodine-131 is administered, how much is still present after 24 hours? (c) How much Iodine-131 is present after one week? Does your answer make sense?arrow_forwardQuestion 2: When John started his first job, his first end-of-year salary was $82,500. In the following years, he received salary raises as shown in the following table. Fill the Table: Fill the following table showing his end-of-year salary for each year. I have already provided the end-of-year salaries for the first three years. Calculate the end-of-year salaries for the remaining years using Excel. (If you Excel answer for the top 3 cells is not the same as the one in the following table, your formula / approach is incorrect) (2 points) Geometric Mean of Salary Raises: Calculate the geometric mean of the salary raises using the percentage figures provided in the second column named “% Raise”. (The geometric mean for this calculation should be nearly identical to the arithmetic mean. If your answer deviates significantly from the mean, it's likely incorrect. 2 points) Starting salary % Raise Raise Salary after raise 75000 10% 7500 82500 82500 4% 3300…arrow_forwardd₁ ≥ ≥ dn ≥ 0 with di even. di≤k(k − 1) + + min{k, di} vi=k+1 T2.5: Let d1, d2,...,d be integers such that n - 1 Prove the equivalence of the Erdos-Gallai conditions: for each k = 1, 2, ………, n and the Edge-Count Criterion: Σier di + Σjeл(n − 1 − d;) ≥ |I||J| for all I, JC [n] with In J = 0.arrow_forward
- T2.4: Let d₁arrow_forwardSolve the following boundary value problem using method of separation of variables: 1 ə ди r dr 70% (107) + 1 д²и = 0, 12802 -πarrow_forwardT2.3: Prove that there exists a connected graph with degrees d₁ ≥ d₂ >> dn if and only if d1, d2,..., dn is graphic, d ≥ 1 and di≥2n2. That is, some graph having degree sequence with these conditions is connected. Hint - Do not attempt to directly prove this using Erdos-Gallai conditions. Instead work with a realization and show that 2-switches can be used to make a connected graph with the same degree sequence. Facts that can be useful: a component (i.e., connected) with n₁ vertices and at least n₁ edges has a cycle. Note also that a 2-switch using edges from different components of a forest will not necessarily reduce the number of components. Make sure that you justify that your proof has a 2-switch that does decrease the number of components.arrow_forwardT2.2 Prove that a sequence s d₁, d₂,..., dn with n ≥ 3 of integers with 1≤d; ≤ n − 1 is the degree sequence of a connected unicyclic graph (i.e., with exactly one cycle) of order n if and only if at most n-3 terms of s are 1 and Σ di = 2n. (i) Prove it by induction along the lines of the inductive proof for trees. There will be a special case to handle when no d₂ = 1. (ii) Prove it by making use of the caterpillar construction. You may use the fact that adding an edge between 2 non-adjacent vertices of a tree creates a unicylic graph.arrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forward= == T2.1: Prove that the necessary conditions for a degree sequence of a tree are sufficient by showing that if di 2n-2 there is a caterpillar with these degrees. Start the construction as follows: if d1, d2,...,d2 and d++1 = d = 1 construct a path v1, v2, ..., vt and add d; - 2 pendent edges to v, for j = 2,3,..., t₁, d₁ - 1 to v₁ and d₁ - 1 to v₁. Show that this construction results vj in a caterpillar with degrees d1, d2, ..., dnarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Finite State Machine (Finite Automata); Author: Neso Academy;https://www.youtube.com/watch?v=Qa6csfkK7_I;License: Standard YouTube License, CC-BY
Finite State Machine (Prerequisites); Author: Neso Academy;https://www.youtube.com/watch?v=TpIBUeyOuv8;License: Standard YouTube License, CC-BY