Cluster based on Constituencies
UP.Analysis$PAN<-as.numeric(UP.Analysis$PAN)
> Cluster.const<-ddply(UP.Analysis,.
(const),transform,crmean=mean(Crime),gradmean=mean(Grad),femmean=mean(Female),
meancro
International Securities Association For Institutional Trade Communication
TBA Market Practice
Presented by the North America Settlements/Cash/Treasury Working
Group
Version 5.8
Final
This market prac
AIEEE-2010
CHEMISTRY, PHYSICS & MATHS
AIEEE-2010 QUESTION PAPER
1.
2.
3.
4.
PART-A : CHEMISTRY
The standard enthalpy of formation of NH3 is
46.0kJmol1. If the enthalpy of formation of
H2 from its atom
Sensitivity analysis determines how much variations in input values for a given variable will impact the
results for a mathematical model i.e. how sensitive the optimal solution is to changes in data
Electromagnetic Induction
NISHANT PANDEY
Xii-B 2016-2017
.
certificate
This is to certify that the PHYSICS
project titled ELECTROMAGNETIC
INDUCTION has been successfully
completed by NISHANT PANDEY of
Supervised vs. unsupervised learning
From a theoretical point of view, supervised and unsupervised learning differ only in
the causal structure of the model. In supervised learning, the model defines
Reliance Industries Limited
Leading Companies
Equity and Liabilities
HUL
HUL
ITC
ITC
Tata MotoTata MotInfosys Infosys
2015
2016
2015
2016
2015
2016
2015
2016
Rs in CrsRs in CrsRs in CrsRs in CrsRs in
Copyright 2014 CBSE-SPOT
MATHEMATICS CBSE
2014
Class XI
Time : 3 hours
F.M : 100
General Instructions :
(i)
All questions are compulsory.
(ii)
Q. 1 to Q. 10 of Section A are of 1 mark each.
(iii)
Q. 1
Insurance Industry Analytics
Dimensions: The various aspects on which data can be evaluated
Metrics / KPIs the key output from the data (Key performance index) like mean median gross margin ,PE
ratio
Dataset: houseprices.csv
Description of the dataset:
A real estate agent is trying to understand the nature of housing stock and
home prices in and around a medium sized town in upstate New York. She
Question 1(a) Show that the vectors [1,1]. 1,cfw_l, 31,2 and cfw_Lil lm a basis of the
vector space Hamil].
Solution. Since EllIncfw_R3 = 3. it is enough to prove that these are linearly independent.
Question 1(a) I. Show that the function
musingi, I 3321]
rtecfw_0, 1:0
is continuous at .
'1'
2. tana is not continuous at :r = 3
Solution.
1. Given 6 2% (1', let :5 = E1 then Im| E J =:- |mgsingi| E
Using (1), (2), (3) we get
0 =
=
=
0 =
0 =
0 =
2
2
H
H
H
2 H
y
y
x
x
x2
y 2
x
y
2
2
2
2 2 H
4 H
2 H
3 H
+ 4x y
+ 4y
2y
+ 8xy
u
u2
u v
v 2
2
2
H
H
2H
H
H
+2x2
4x2 y 2 2 + 8x3 y
4x4 2 2(x2 + y 2 )
1 0 0
Question 2(a) If A = 1 0 1 show that for all integers n 3, An = An2 + A2 I.
0 1 0
50
Hence determine A .
Solution. Characteristic equation of A is
1 0 0
1
1 = 0
0
1
or (1)(2 1) = 3 2 +1 =
Question 5(b) Define a positive definite form. State and prove a necessary and sufficient
condition for a quadratic form to be positive definite.
Solution. See 1992 question 2(c).
Question 5(c) Show t
Range of T = T(V), kernel of T = cfw_v | T(v) = 0. If w1 , w2 T(V), then w1 =
T(v1 ), w2 = T(v2 ) for some v1 , v2 V, w1 + w2 = T(v1 ) + T(v2 ) = T(v1 + v2 ).
But v1 + v2 V w1 + w2 T(V), thus T(V) is
Question 1(c) Find the least perimeter of an isoceles triangle in which a circle of radius r
can be inscribed.
Solution.
A
Let be the semi-vertical angle. D is the
midpoint of BC. E is the point of co
Question 2(d) Use Cayley-Hamilton theorem
0
A= 1
3
to find the inverse of the following matrix
1 2
2 3
1 1
Solution. Characteristic polynomial is given by |xI A| = 0, where I is the 3 3 unit
matrix.
x