www.Batchef.com
Batchef
No 761, Ground Floor,
B Type, 2nd stage, IV Phase,
Domlur, Bangalore- 560071
Buyer
Utkarsh Garg
5th Floor, Maruthi Infotech Centre, Domlur
8953441445
Invoice
Invoice Date
Order Amount (INR)
Product
Price
Qty.
Line Total
Bat Chef Sp
Electronic Component
C53
C81
D5
D44
Plant 1
Plant 2
0.1
0.05
0.32
0.17
Plant 3
0.12
0.06
0.4
0.14
Plant 4
0.13
0.04
0.31
0.19
0.11
0.08
0.3
0.15
There can be total 24 cases to solve this question. We will have to look in each to find the solution
Case 1
C
Budget that reflects the expectations of the entire nation
* Making all-out efforts to translate dream of Prime Minister Narendra Modi
into reality
* Aiming to achieve operation ratio of 92 percent
* Saving of Rs.8,720 crore from last year's estimates
* E
Discrete Structures
CS2800
Homework 5
Probability
Explain your answers carefully unless it explicitly says that you dont have to.
1. Prove using the definition of probability that if A B, then Pr(A) Pr(B).
2. MCS 17.10. (Better hint: use induction; no nee
Some Special Functions
of Mathematical Physics
Legendre Polynomials
(Continued)
Jul 15, 2015
1
In this lecture, we find the recurrence
relation satisfied by the Legendre
Polynomials, show that the nth degree
Legendre Polynomial has n distinct real
roots
HOMOGENEOUS LINEAR
SYSTEM WITH CONSTANT
COEFFICENTS:
TWO EQUATIONS IN TWO
UNKNOWN FUNCTIONS
07/14/15
2005-2006, MATH C241 Prepared by Nadeem-ur-Rehma
1
We Shall concerned with the homogeneous
linear system
dx
=a1 x +b1 y
dt
dy
=a2 x +b2 y
dt
(1)
where t
SturmLiouvilleProblems
Jul 14, 2015
MATH C241 Prepared by MSR
1
Second Order Exact Differential equations
The second order linear differential equation
P ( x) y +Q ( x) y+R ( x) y =0
is called exact if it can be written in the form
( P( x) y)+( S ( x) y )
IntroductiontoSystemsofFirst
OrderLinearEquations
2005-2006, Nadeem-ur-R
ehman
1
A system of simultaneous first
order ordinary differential
equations has the general form
x1 F1 (t , x1, x2 ,K xn )
x2 F2 (t , x1, x2 ,K xn )
M
xn Fn (t , x1, x2 ,K xn )
2
#include<list>
#include<queue>
#include<cstdio>
#include<limits.h>
using namespace std;
int CommonVertex(int ver1, int ver2, list<int >adjacency[], int parent[], int
d[])
cfw_
while(ver1!=ver2)
cfw_
if(d[ver1] > d[ver2])
cfw_
ver1 = parent[ver1];
else if
Highlights of the Railway Budget 2016-17
Theme of the Budget
Overcoming challenges Reorganize, Restructure Rejuvenate Indian Railways:
Chalo, Milkar Kuch Naya Karen
Three pillars of the strategy i.e. Nav Arjan New revenues, Nav Manak New
norms, Nav Sanrac
Journal of Management and Marketing Research
Conceptualization of perceived value pricing in strategic marketing
Nagasimha Balakrishna Kanagal
Indian Institute of Management Bangalore
ABSTRACT
Perceived value pricing is an important price setting procedur
ISSN 2029-4581. ORGANIZATIONS AND MARKETS IN EMERGING ECONOMIES, 2012, VOL. 3, No. 1(5)
CUSTOMER PERCEPTIONS OF VALUE:
CASE OF retail banking
Neringa Ivanauskien1,
ISM University of Management and Economics, Lithuania
Vilt Aurukeviien2,
ISM University of
WHAT IS THE REVENUE FOR THE CARD AND BOARD GAMES IN IN INDIA PER
YEAR?
Population of India: Approximately 1.2 billion people.
Lets assume the majority percentage of population that play Board
games lies in the age group of 6-18
Percentage population in th
Processed
21st Feb
22nd Feb
23rd Feb
24th Feb
25th Feb
26th Feb
27th Feb
28th Feb
29th Feb
Total
Lef
11.67
30
8
33.33
24.84
11.67
30
8
33.33
24.84
0
0
0
0
107.84
0
Done
Total INR
7117
107.84
Lef
0
7117
The Finance Ministry of India presents the Economic Survey in the parliament every year, just
before the Union Budget. It is the ministry's view on the annual economic development of the
country. A flagship annual document of the Ministry of Finance, Gove
Applications to the
solutions of linear
differential
equations
Jul 14, 2015
MATH C241 Prepar
1
Applications to the solutions of
linear differential equations
Consider the second order constant coefficient
linear differential equation
y a y b y f ( x )
wit
Bessels Differential
equation (continued)
Jul 14, 2015
MATH C241 Prepared by MSR
1
In this lecture we study properties of
Bessels functions, which are solutions of
Bessels equation.
Jul 14, 2015
MATH C241 Prepared by MSR
2
Zeros of Bessel Functions
Fact:
ReviewofPowerSeries
RealAnalyticfunctions
Ordinarypointsofa2ndOrder
HomogeneousL.D.E.
In this lecture we discuss the Power series
method of solving a second order
homogeneous linear differential equation
First we spend some time in reviewing the
results a
FROBENIUS SERIES
SOLUTION OF A SECOND
ORDER HOMOGENEOUS
LINEAR DIFFERENTIAL
EQUATION (C0NTINUED)
Assume that x = 0 is a regular singular point
of the second order homogeneous l.d.e.
y P ( x) y Q( x) y 0
Hence
p ( x) xP( x)
q( x) x Q( x)
2
are both analyti
We assume a particular solution of
ax
ax
Ly =k1e cos bx +k2e sin bx
ax
ax
as y = y p = A1e cos bx +A2e sin bx
We assume a particular solution of
ax
n
Ly =e (b0 +b1 x +. +bn x )
ax
n
as y = y p =e ( A0 +A1 x +. +An x )
We also use multiply by the least pow
QualitativePropertiesofsolutions
ofasecondorderhomogeneous
LinearDifferentialequations.
Throughout this chapter we shall be
looking at the second order homogeneous
linear differential equation
y +P ( x) y +Q ( x) y =0 .(1)
We shall like to say something a
Particular Solutions of Non-Homogeneous
Linear Differential Equations with constant
coefficients
Method of Undetermined
Coefficients
In this lecture we discuss the Method of
undetermined Coefficients.
07/14/15
1
Consider the second order non-homogeneous
l
FIRST ORDER
DIFFERENTIAL EQUATIONS
In this lecture we discuss various methods
of solving first order differential equations.
These include:
Variables separable
Homogeneous equations
Exact equations
Equations that can be made exact by
multiplying by an
Second Order Linear Differential equations
In this lecture
We define a second order Linear DE
State the existence and uniqueness of solutions
of second order Initial Value problems
We find the general solution of a second order
Homogeneous Linear DE
D