'Properties of relations' Video Lecture

Properties of relations

Faculty: Dr. Aditi Gangopadhyay, Dr. Sugata Gangopadhyay

Properties of relations - Click on the Video Link shown below to play the video on Youtube. Browse through Discrete Mathematics (Mathematics) Video Lectures by Dr. Aditi Gangopadhyay, Dr. Sugata Gangopadhyay from IIT Roorkee through NPTEL.

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Course Video Lectures Introduction to the theory of sets Set operation and laws of set operation The principle of inclusion and exclusion Application of the principle of inclusion and.. Fundamentals of logic Logical Inferences Methods of proof of an implication First order logic(1) First order logic(2) Rules of influence for quantified proposition.. Mathematical Induction(1) Mathematical Induction(2) Sample space, events Probability, conditional probability Independent events, Bayes theorem Information and mutual information Basic definition Isomorphism and sub graphs Walks, paths and circuits operations on graph.. Euler graphs, Hamiltonian circuits Shortest path problem Planar graphs Basic definition. Properties of relations Graph of relations Matrix of relation Closure of relaton(1) Closure of relaton(2) Warshall's algorithm Partially ordered relation Partially ordered sets Lattices Boolean algebra Boolean function(1) Boolean function(2) Discrete numeric function Generating function Introduction to recurrence relations Second order recurrence relation with constan.. Second order recurrence relation with constan.. Application of recurrence relation