Discrete Structure
By
Syed Ijaz Hussain Bukhari
Functions
RELATIONS AND FUNCTIONS:
A function F from a set X to a set Y is a relation from X to Y
that satisfies the following two properties
1. For eve
Discrete Structure
By
Syed Ijaz Hussain Bukhari
Relations
ORDERED PAIR:
An ordered pair (a, b) consists of two elements a and b in which a is the first
element and b is the second element.
The ordered
Discrete Structure
Lecture 2
Syed Ijaz Hussain Bukhari
Truth Tables
Truth Tables for:
1.
~pq
2. ~ p (q ~ r)
3. (pq) ~ (pq)
Truth table for the statement form ~ p q
Truth Table
p
q
~p
~p ^ q
T
T
F
F
T
Discrete Structure
Lecture No 3
Syed Ijaz Hussain Bukhari
Logical Equivalences
Name
Identity Law
Domination Law
Indempotent Law
Double Negation Law
Commutative Law
Associative Law
Equivalences
pT=p
pv
Discrete Structure
Lecture 5
By
Syed Ijaz Hussain Bukhari
Argument
ARGUMENT:
An argument is a list of statements called premises (or assumptions or
hypotheses) followed by a statement called the conc
Discrete Structure
Sequence
By
Syed Ijaz Hussain Bukhari
Sequence
A sequence is just a list of elements usually written in
a row.
EXAMPLES:
1.1, 2, 3, 4, 5,
2.4, 8, 12, 16, 20,
3.2, 4, 8, 16, 32,
4.
m
No great genius has ever existed without a slight touch of madness: The lack of daring
qualities and absence of a furor to invent in Pakistani youth.
Prepared for:
Sir Shaharyar Haider
Lecturer
Depa
Discrete Structure
Lecture
By
S Ijaz Hussain Bukhari
BICONDITIONAL
If p and q are statement variables, the
biconditional of p and q is p if, and only if, q
and is denoted pq. if and only if abbreviat
Discrete Structures
Lecture 6
By
Syed Ijaz Hussain Bukhari
Set Theory
A well defined collection of cfw_distinct objects is called a
set.
The objects are called the elements or members of the set.
Se
Discrete Structure
By
Syed Ijaz Hussain Bukhari
Recursion
The process of defining an object in terms of smaller versions
of itself is called recursion.
A recursive definition has two parts:
1.BASE:
An
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INTRODUCTION
Asma Kanwal
Lecturer
Department Of Computer
Science
GC University Lahore
COGNITIVE PSYCHOLOGY
Cognitive psychology is the study of how people perceive, learn, remember, and think
about
In
MEMORY AND MEMORY PROCESSES
Asma Kanwal
Lecturer
Department Of Computer
Science
GC University Lahore
MEMORY AND MEMORY PROCESSES
Memory: Active system that stores, organizes, alters, and recovers (ret
Bottom-Up Perception:
1. Sensor get input signals from environment.
2. Input signals are processed in sensor for extraction of physical characteristics (colors, intensity,
size, shape etc)
3. Processe
Topics for Research Paper:
Intelligence:
Collective Intelligence
IQ (Intelligence Quotient)
Social Intelligence
Multiple Intelligences
Cognition:
Genius
Information Processing (Cognitive Processing)
M
VISUAL PERCEPTION
Asma Kanwal
Lecturer
Department Of Computer
Science
GC University Lahore
BRAIN STRUCTURE
CORTEX FUNCTIONALITY
VISUAL CORTEX WORKING
SENSATION
Sensations can be defined as the passive
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Discrete Structure
By
Syed Ijaz Hussain Bukhari
UNION
Let A and B be subsets of a universal set U. The union of
sets A and B is the set of all elements in U that belong to
A or to B or to both, and is
Discrete Structure
CS-1203
Syed Ijaz Hussain Bukhari
Discrete Structure
Course Objective
1.Express statements with the precision of formal logic
2.Analyze arguments to test their validity
3.Apply the
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ATTENTION AND CONSCIOUSNESS
Asma Kanwal
Lecturer
Department Of Computer
Science
GC University Lahore
ATTENTION
Attention is the means by which ones actively process a limited amount of information fro
Summarized Stain Procedures
Smear Prep and Simple Stain Protocol (Pg.17+19)
Smear Prep
1. Place drop of distilled H2O onto clean slide.
2. Transfer bacterial specimen using sterile loop
And mix with w
Praise for this book
Software Requirements, Third Edition, is the most valuable requirements guidance you will find.
Wiegers and Beatty cover the entire landscape of practices that todays business ana
Research Paper, Computer Science Dept., University of Alaska Fairbanks, October 2012
Game C onsoles V s. p ersonal C omputers
Design, P urpose, AND M arketability D ifferences
Young People and News
A Report from the Joan Shorenstein Center on the
Press, Politics and Public Policy
July 2007
Young People and News
A report from the Joan Shorenstein Center on the Press, Politic