Tuesday 15 November 2022

FYBSC IT/CS DISCRETE MATHEMATICS

FYBSC IT/CS DISCRETE MATHEMATICS 

IMPORTANT  THEORY QUESTIONS

1.DEFINE : 

UNIVERSAL STATEMENT

EXISTENTIAL UNIVERSAL STATEMENT

SUBSET , CARTESIAN PRODUCT

FUNCTION , RELATION

LOGARITHM , LOGARITHAMIC FUNCTION

BOOLEAN FUNCTION ,IMAGE

INVERSE IMAGE

ONE-ONE FUNCTION , ONTO FUNCTION

INVERSE OF A FUNCTION

CARDINALITY , COMPOSITE FUNCTION 

TRAIL , CONNECTED GRAPH , SPANNING TREE

HAMILTION GRAPH ,HAMILTON CYCLE.


2. EXPLAIN RUSSELS PARADOX , HALTING PROBLEM , 


3.  Define the following terms

a. Reflexive relation

b. Symmetric relation

c. Transitive relation

d. Equivalence Relations


4. Define the following terms

a. Commutative Laws

b. Associative Laws

c. Distributive Laws

d. Identity Laws:


5. Define the following terms

a. Union b.Intersection c.Difference d.Complement

6. Define the following terms

a. Set b.Subset c.Proper Subset d.Empty Set

7.Define the following terms

a. Disjoint Sets b. Power Sets c.Cartesian Products d.Empty Set