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solve  the following questions Q1Let the string having length eight of an arrays is defined as ;  01001010       ii. 01101101                         Apply the definition of propositional logic conjunction and disjunction on it.   Q2 a). Define pandent vertex and isolated vertex by giving example.                  (b). Show that  “¬ p v q” is logically equivalent to “pq”. Q3 a). Consider the propositional function (,) defined by ; What is the truth value of (-2,4,-5)? What is the truth value of (6-,2,8)?                (b). Write down the difference between universal quantifier and existential quantifier by giving                           examples. Q4 Let ‘H’ and ‘G‘ are two non-empty sets which are defined as;                                   and modulus function    defined by;          Check the defined absolute value function for injective.  Q5 Given a simple graph “N” as below in figure ; graph is attached below                  Check it for the following ; Find chromatic number. Calculate In-degree and out-degree. Find the degree of the graph and write it in degree sequence. Label its edges and also write down its in vertex form.

solve  the following questions Q1Let the string having length eight of an arrays is defined as ;  01001010       ii. 01101101                         Apply the definition of propositional logic conjunction and disjunction on it.   Q2 a). Define pandent vertex and isolated vertex by giving example.                  (b). Show that  “¬ p v q” is logically equivalent to “pq”. Q3 a). Consider the propositional function (,) defined by ; What is the truth value of (-2,4,-5)? What is the truth value of (6-,2,8)?                (b). Write down the difference between universal quantifier and existential quantifier by giving                           examples. Q4 Let ‘H’ and ‘G‘ are two non-empty sets which are defined as;                                   and modulus function    defined by;          Check the defined absolute value function for injective.  Q5 Given a simple graph “N” as below in figure ; graph is attached below                  Check it for the following ; Find chromatic number. Calculate In-degree and out-degree. Find the degree of the graph and write it in degree sequence. Label its edges and also write down its in vertex form.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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solve  the following questions

Q1Let the string having length eight of an arrays is defined as ; 

  1. 01001010       ii. 01101101

                        Apply the definition of propositional logic conjunction and disjunction on it.

 

Q2

a). Define pandent vertex and isolated vertex by giving example.

                 (b). Show that  “¬ p v q” is logically equivalent to “pq”.

Q3

a). Consider the propositional function (,) defined by ;

  1. What is the truth value of (-2,4,-5)?
  2. What is the truth value of (6-,2,8)?

               (b). Write down the difference between universal quantifier and existential quantifier by giving  

                        examples.

Q4 Let ‘H’ and ‘G‘ are two non-empty sets which are defined as;                 

                 and modulus function    defined by;         

  1. Check the defined absolute value function for injective.

 Q5

Given a simple graph “N” as below in figure ;

graph is attached below

                 Check it for the following ;

  1. Find chromatic number.
  2. Calculate In-degree and out-degree.
  • Find the degree of the graph and write it in degree sequence.
  1. Label its edges and also write down its in vertex form.

 

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