DEFINITION:
Let[P,-: ] bonny poset,and Iota, bl! P be
given. Then an clemmt d c P is called the
greatest lower bound. or meet. of a and b (in
symbols, d = 3 Ab) when
d *5 a, d < b
and
x<aandx bimplyx<
Algebraic system
Objectives:
1) To know algebraic system
2) To perform the operations on algebraic system
Definition:
A system consisting of a set and
one more n-ary operations on the
set will be call
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GROUPS AND APPLICATION
[Syllabus Groups and Applications : Monoids, Semigroups, Product and
quotients of algebraic structures, Isomerism, homomorphism,
automorphism, Normal subgroups]
Unit Structur
Chapter 3: Relations and Posets
Discrete Mathematical Structures:
Theory and Applications
Relations
Relations are a natural way to associate
objects of various sets
Discrete Mathematical Structures:
Algebraic system
Objectives:
1) To know algebraic system
2) To perform the operations on algebraic system
Definition:
A system consisting of a set and
one more n-ary operations on the
set will be call
Information Theory
Information Source
4 characteristics of information source
The no. of symbols, n
The symbols, S1, S2, , Sn
The probability of occurrence of each symbol,
P(S1), P(S2), , P(Sn)
T
Function
Objectives
1)To know about composition of function.
2)To know about composition of function.
If <x,y> R then <y,x> RR
f: XY then f :YX
(converse of f)
f R may not be the function.
because do
Composition of Functions
Objective
To form and evaluate composite functions.
To determine the domain for composite functions.
Composition of functions
Composition of functions is the successive
appl