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An Introduction
to .Probability Theory
and Its Applications
WILLIAM FELLER (1906-'1970)
Eugene Higgins Professor of Mathematics
Princeton University
VQLUME II
Preface to the First Edition
1941
and 1948) the intere~t in

FUNDAMENTALS OF
MATHEMATICAL STATISTICS
(A Modern Approach)
A Textbook written completely on modern lines for Degree, Honours,
Post-graduate Students of al/ Indian Universities and ~ndian Civil
Services, Indian Statistical Service Examinations.
(Contains,

Hello readers. We collected the notes from some online sources, which might help you. We have not written it, at all. We just
arranged for you.
5
Vector Spaces
As suggested at the end of chapter 4, the vector spaces Rn are not the only
vector spaces. We n

About The Course
IE501, Optimization Models
July 19, 2016
Course Website
Class Hours
Class Room
Teaching Assistants
Instructor
Moodle
Wednesday and Friday 9:30 AM
LT 205
Anurag Ladage, ladageanurag@iitb.ac.in, Research Scholar, IEOR
Salman Memon, 15319400

1E6T9HORUA - Read Online Introduction to Linear Optimization (Athena Scientific Series in Optimization and Neu.
Introduction to Linear Optimization (Athena
Scientific Series in Optimization and Neural
Computation, 6) by Dimitris Bertsimas, John
N. Tsitsik

LECTURE 5: DUALITY AND
SENSITIVITY ANALYSIS
1. Dual linear program
2. Duality theory
3. Sensitivity analysis
4. Dual simplex method
Introduction to dual linear program
Given a constraint matrix A, right hand side vector b, and
cost vector c, we have a co

ALGEBRA
Q1. A culture of bacteria originally numbers 500. After 2 hours there are 1500 bacteria in the culture.
Assuming exponential growth, how many are there after 6 hours?
Solution:
Let the function f(t) measure the bacteria at the time t we have
F(t)