Let R = (0*0 ∪ 11)*∪(10). Use the construction from the lecture (given any regular expression,...
Let R = (0*0 ∪ 11)*∪(10). Use the construction from the lecture (given any regular expression, we can construct an NFA that recognizes the described language) to construct an NFA N such that L(N) = L(R). Apply the construction literally (do not optimize the resulting NFA–keep all those ε arrows in the NFA). Only the final NFA is required, but you can get more partial credit if you show intermediate steps
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Let R = (0*0 ∪ 11)*∪(10). Use the construction from the lecture
(given any regular expression,...
THEOREM 3.1 Let r be a regular expression. Then there exists some nondeteministic finite accepter that...
THEOREM 3.1 Let r be a regular expression. Then there exists some nondeteministic finite accepter that accepts L (r) Consequently, L () is a regular language. Proof: We begin with automata that accept the languages for the simple regular expressions ø, 2, and a E . These are shown in Figure 3.1(a), (b), and (c), respectively. Assume now that we have automata M (r) and M (r) that accept languages denoted by regular expressions ri and r respectively. We need...
Please answer any 7 of them ТОС Answer any 7 from the followings: 1. Regular expression...
Please answer any 7 of them
ТОС Answer any 7 from the followings: 1. Regular expression to NFA: i) ab(aUb)* ii) (aba U a)*ab 2. Explain and construct a generalized NFA, 3. NFA to regular expression 0 3 91 93 8 a 4. DFA to regular expression 011 5. Explain the rules of pumping lemma briefly with an example. 6. Give an example of right linear grammar and left linear grammar. 7. L(G) = {1*20 m >= 1 and >=1}....
Construct a regular expression that recognizes the following language of strings over the alphabet {0 1}:...
Construct a regular expression that recognizes the following language of strings over the alphabet {0 1}: The language consisting of the set of all bit strings that start with 00 or end with 101 (or both). Syntax The union is expressed as R|R, star as R*, plus as R+, concatenation as RR. Epsilon is not supported but you can write R? for the regex (R|epsilon).
Please all thank you Exercise 25: Let f 0,R be defined by f(x)-1/n, m, with m,nENand n is the minimal n such that m/n a) Show that L(f, P)0 for all partitions P of [0, 1] b) Let mE N. Show that t...
Please all thank you
Exercise 25: Let f 0,R be defined by f(x)-1/n, m, with m,nENand n is the minimal n such that m/n a) Show that L(f, P)0 for all partitions P of [0, 1] b) Let mE N. Show that the cardinality of the set A bounded by m(m1)/2. e [0, 1]: f(x) > 1/m) is c) Given m E N construct a partition P such that U(f, Pm)2/m. d) Show that f is integrable and compute Jo...
4. Consider the following partial information about a function f(x): S.x2, 0<x<I, (2-x), 1<x<2. Given that...
4. Consider the following partial information about a function f(x): S.x2, 0<x<I, (2-x), 1<x<2. Given that the function can be extended and modelled as a Fourier cosine-series: (a) Sketch this extended function in the interval that satisfies: x <4 (b) State the minimum period of this extended function. (C) The general Fourier series is defined as follows: [1 marks] [1 marks] F(x) = 4 + ] Ancos ("E") + ] B, sin("E") [1 marks] State the value of L. (d)...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
photos for each question are all in a row (1 point) In the following questions, use...
photos for each question are all in a row
(1 point) In the following questions, use the normal distribution to find a confidence interval for a difference in proportions pu - P2 given the relevant sample results. Give the best point estimate for p. - P2, the margin of error, and the confidence interval. Assume the results come from random samples. Give your answers to 4 decimal places. 300. Use 1. A 80% interval for pı - P2 given that...
#include <iostream> #include <iomanip> #include <vector> using namespace std; Part 1. [30 points] In this part,...
#include <iostream>
#include <iomanip>
#include <vector>
using namespace std;
Part 1. [30 points] In this part, your program
loads a vending machine serving cold drinks. You start with many
foods, some are drinks. Your code loads a vending machine from
foods, or, it uses water as a default drink. Create class Drink,
make an array of drinks, load it and display it.
Part 1 steps:
[5 points] Create a class called
Drink that contains information about a single
drink. Provide...
1 L, as a dynamical system (Notes from Assignment #2) We take our definition of dynamical system ...
1 L, as a dynamical system (Notes from Assignment #2) We take our definition of dynamical system to be an "object" along with a specific set of modifications that can be performed (dynamically) upon this object. In this case, the object is a bi-infinite straight road with a lamp post at every street corner and a marked lamp (the position of the lamplighter). There are two possible types of modifications: the lamplighter can walk any distance in either direction from...
Activity: Writing Classes Page 1 of 10 Terminology attribute / state behavior class method header class...
Activity: Writing Classes Page 1 of 10 Terminology attribute / state behavior class method header class header instance variable UML class diagram encapsulation client visibility (or access) modifier accessor method mutator method calling method method declaration method invocation return statement parameters constructor Goals By the end of this activity you should be able to do the following: > Create a class with methods that accept parameters and return a value Understand the constructor and the toString method of a class...
THEOREM 3.1 Let r be a regular expression. Then there exists some nondeteministic finite accepter that accepts L (r) Consequently, L () is a regular language. Proof: We begin with automata that accept the languages for the simple regular expressions ø, 2, and a E . These are shown in Figure 3.1(a), (b), and (c), respectively. Assume now that we have automata M (r) and M (r) that accept languages denoted by regular expressions ri and r respectively. We need...
Please answer any 7 of them
ТОС Answer any 7 from the followings: 1. Regular expression to NFA: i) ab(aUb)* ii) (aba U a)*ab 2. Explain and construct a generalized NFA, 3. NFA to regular expression 0 3 91 93 8 a 4. DFA to regular expression 011 5. Explain the rules of pumping lemma briefly with an example. 6. Give an example of right linear grammar and left linear grammar. 7. L(G) = {1*20 m >= 1 and >=1}....
Please all thank you
Exercise 25: Let f 0,R be defined by f(x)-1/n, m, with m,nENand n is the minimal n such that m/n a) Show that L(f, P)0 for all partitions P of [0, 1] b) Let mE N. Show that the cardinality of the set A bounded by m(m1)/2. e [0, 1]: f(x) > 1/m) is c) Given m E N construct a partition P such that U(f, Pm)2/m. d) Show that f is integrable and compute Jo...
4. Consider the following partial information about a function f(x): S.x2, 0<x<I, (2-x), 1<x<2. Given that the function can be extended and modelled as a Fourier cosine-series: (a) Sketch this extended function in the interval that satisfies: x <4 (b) State the minimum period of this extended function. (C) The general Fourier series is defined as follows: [1 marks] [1 marks] F(x) = 4 + ] Ancos ("E") + ] B, sin("E") [1 marks] State the value of L. (d)...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
photos for each question are all in a row
(1 point) In the following questions, use the normal distribution to find a confidence interval for a difference in proportions pu - P2 given the relevant sample results. Give the best point estimate for p. - P2, the margin of error, and the confidence interval. Assume the results come from random samples. Give your answers to 4 decimal places. 300. Use 1. A 80% interval for pı - P2 given that...
#include <iostream>
#include <iomanip>
#include <vector>
using namespace std;
Part 1. [30 points] In this part, your program
loads a vending machine serving cold drinks. You start with many
foods, some are drinks. Your code loads a vending machine from
foods, or, it uses water as a default drink. Create class Drink,
make an array of drinks, load it and display it.
Part 1 steps:
[5 points] Create a class called
Drink that contains information about a single
drink. Provide...
1 L, as a dynamical system (Notes from Assignment #2) We take our definition of dynamical system to be an "object" along with a specific set of modifications that can be performed (dynamically) upon this object. In this case, the object is a bi-infinite straight road with a lamp post at every street corner and a marked lamp (the position of the lamplighter). There are two possible types of modifications: the lamplighter can walk any distance in either direction from...
Activity: Writing Classes Page 1 of 10 Terminology attribute / state behavior class method header class header instance variable UML class diagram encapsulation client visibility (or access) modifier accessor method mutator method calling method method declaration method invocation return statement parameters constructor Goals By the end of this activity you should be able to do the following: > Create a class with methods that accept parameters and return a value Understand the constructor and the toString method of a class...
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