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(express the language in terms of basic set operations) a) Prove that if L and Ly...
Questions from my recent quiz that I had problems with. Can anyone assist? Closure Properties of...
Questions from my recent quiz that I had problems with. Can
anyone assist?
Closure Properties of Regular Languages 1. **Show that if a language family is closed under union and complementation, it must also be closed under intersection 2. The symmetric difference of two sets S1 and S2 is defined as S_1 CircleMinus S_2 = {x: x elementof S_1 or x elementof S_2, but x is not in both S_1 and S_2) Show that the family of regular languages is...
1. Complete the following exercises a) For Σ = {a, b} find regular expressions for the...
1. Complete the following exercises a) For Σ = {a, b} find regular expressions for the compliment of the following languages L = L(aa*bb) b) Let Li = L(ab*aa), L2 = L(a"bba"). Find a regular expression for (L1 n Ljl2. c) The symmetric difference of two sets Sı and S2 is defined as sı Θ s,-(x : x E Si or x E S2 but x is not in both S1 and S2). Show that the family of regular languages...
Question 1: Every language is regular T/F Question 2: There exists a DFA that has only...
Question 1: Every language is regular T/F Question 2: There exists a DFA that has only one final state T/F Question 3: Let M be a DFA, and define flip(M) as the DFA which is identical to M except you flip that final state. Then for every M, the language L(M)^c (complement) = L( flip (M)). T/F Question 4: Let G be a right linear grammar, and reverse(G)=reverse of G, i.e. if G has a rule A -> w B...
Question 8, please. 2. Prove: (a) the set of even numbers is countable. (b i=1 3....
Question 8, please.
2. Prove: (a) the set of even numbers is countable. (b i=1 3. The binary relation on pair integers - given by (a,b) - (c,d) iff a.d=cbis an equivalence relation. 4. Given a graph G = (V, E) and two vertices s,t EV, give the algorithm from class to determine a path from s to t in G if it exists. 5. (a) Draw a DFA for the language: ( w w has 010 as a substring)....
C++ OPTION A (Basic): Complex Numbers A complex number, c, is an ordered pair of real...
C++
OPTION A (Basic): Complex Numbers
A complex number, c,
is an ordered pair of real numbers
(doubles). For example, for any two real numbers,
s and t, we can form the complex number:
This is only part of what makes a complex number complex.
Another important aspect is the definition of special rules for
adding, multiplying, dividing, etc. these ordered pairs. Complex
numbers are more than simply x-y coordinates because of these
operations. Examples of complex numbers in this...
Create a basic math quiz program that creates a set of 10 randomly generated math questions for the following operations:
Create a basic math quiz program that creates a set of 10 randomly generated math questions for the following operations:AdditionSubtractionMultiplicationDivisionModuloExponentThe following source files are already complete and CANNOT be changed:MathQuiz.java (contains the main() method)OperationType.java (defines an enumeration for valid math operations and related functionality)The following source files are incomplete and need to be coded to meet the indicated requirements:MathQuestionable.javaA Random object called RANDOM has already been declared and assigned, and you must not change this assignment in any way.Declare and assign an interface integer called MAX_SMALL and assign it the...
Create a basic math quiz program that creates a set of 10 randomly generated math questions for the following operations:
Create a basic math quiz program that creates a set of 10 randomly generated math questions for the following operations:AdditionSubtractionMultiplicationDivisionModuloExponentThe following source files are already complete and CANNOT be changed:MathQuiz.java (contains the main() method)OperationType.java (defines an enumeration for valid math operations and related functionality)The following source files are incomplete and need to be coded to meet the indicated requirements:MathQuestionable.javaA Random object called RANDOM has already been declared and assigned, and you must not change this assignment in any way.Declare and assign an interface integer called MAX_SMALL and assign it the...
Lab 2: (one task for Program 5): Declare an array of C-strings to hold course names,...
Lab 2: (one task for Program 5): Declare an array of C-strings to hold course names, and read in course names from an input file. Then do the output to show each course name that was read in. See Chapter 8 section on "C-Strings", and the section "Arrays of Strings and C-strings", which gives an example related to this lab. Declare the array for course names as a 2-D char array: char courseNames[10] [ 50]; -each row will be a...
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...
1. For each of the following regression models, write down the X matrix and 3 vector....
1. For each of the following regression models, write down the X matrix and 3 vector. Assume in both cases that there are four observations (a) Y BoB1X1 + B2X1X2 (b) log Y Bo B1XiB2X2+ 2. For each of the following regression models, write down the X matrix and vector. Assume in both cases that there are five observations. (a) YB1XB2X2+BXE (b) VYBoB, X,a +2 log10 X2+E regression model never reduces R2, why 3. If adding predictor variables to a...
Questions from my recent quiz that I had problems with. Can
anyone assist?
Closure Properties of Regular Languages 1. **Show that if a language family is closed under union and complementation, it must also be closed under intersection 2. The symmetric difference of two sets S1 and S2 is defined as S_1 CircleMinus S_2 = {x: x elementof S_1 or x elementof S_2, but x is not in both S_1 and S_2) Show that the family of regular languages is...
1. Complete the following exercises a) For Σ = {a, b} find regular expressions for the compliment of the following languages L = L(aa*bb) b) Let Li = L(ab*aa), L2 = L(a"bba"). Find a regular expression for (L1 n Ljl2. c) The symmetric difference of two sets Sı and S2 is defined as sı Θ s,-(x : x E Si or x E S2 but x is not in both S1 and S2). Show that the family of regular languages...
Question 8, please.
2. Prove: (a) the set of even numbers is countable. (b i=1 3. The binary relation on pair integers - given by (a,b) - (c,d) iff a.d=cbis an equivalence relation. 4. Given a graph G = (V, E) and two vertices s,t EV, give the algorithm from class to determine a path from s to t in G if it exists. 5. (a) Draw a DFA for the language: ( w w has 010 as a substring)....
C++
OPTION A (Basic): Complex Numbers
A complex number, c,
is an ordered pair of real numbers
(doubles). For example, for any two real numbers,
s and t, we can form the complex number:
This is only part of what makes a complex number complex.
Another important aspect is the definition of special rules for
adding, multiplying, dividing, etc. these ordered pairs. Complex
numbers are more than simply x-y coordinates because of these
operations. Examples of complex numbers in this...
Lab 2: (one task for Program 5): Declare an array of C-strings to hold course names, and read in course names from an input file. Then do the output to show each course name that was read in. See Chapter 8 section on "C-Strings", and the section "Arrays of Strings and C-strings", which gives an example related to this lab. Declare the array for course names as a 2-D char array: char courseNames[10] [ 50]; -each row will be a...
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...
1. For each of the following regression models, write down the X matrix and 3 vector. Assume in both cases that there are four observations (a) Y BoB1X1 + B2X1X2 (b) log Y Bo B1XiB2X2+ 2. For each of the following regression models, write down the X matrix and vector. Assume in both cases that there are five observations. (a) YB1XB2X2+BXE (b) VYBoB, X,a +2 log10 X2+E regression model never reduces R2, why 3. If adding predictor variables to a...
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