Course: M.S. in Library and Information Science
Test Code: PLA (Forenoon)
Duration: 2 hours
Syllabus:
There will consists of 60 objective type questions. These are given to test
quantitative skill (at 10 +2 level) and reasoning skills (at the
undergraduat
Test Code PSB (Short answer type) 2013
Syllabus for Mathematics
Combinatorics; Elements of set theory. Permutations and combinations.
Binomial and multinomial theorem. Theory of equations. Inequalities.
Linear Algebra: Vectors and vector spaces. Matrices.
1. Let f : R R be a function which is continuous at 0 and f (0) = 1.
Also assume that f satisfies the following relation for all x:
f (x) f (x/2) =
3x2
+ x.
4
Find f (3).
2. For any n n matrix A = (aij ), consider the following three properties:
1. aij is
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SESSION:20172018
B Stat (Hons), B Math (Hons), M Stat, M Math,
MS (QE), MS (QMS), MS (LIS),
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Syllabus for MS in Library and Information Science (LIS) 2017
Programme Code: MLIB
Paper I (Forenoon): Test Code: PLA
There will be 30 objective type questions. These are given to test quantitative skill (at 10 +2
level) and reasoning skills (at the under
MSQMS SYLLABUS : 2017
Syllabus for QMA (Mathematics) and QMB (Mathematics)
Algebra: Binomial Theorem, AP, GP, HP, Exponential and Logarithmic Series,
Sequence, Permutations and Combinations, Theory of Equations.
Matrix Algebra: Vectors and Matrices, Matri
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312:;
’Proisiw! 'FS‘ {PYNLRCeJ
—‘.
E7“; 1. H9 Under the usual assumptions of the Birthday Problem, ﬁnd the expected
number of days in a year that are birthdays of exactly 19 persons in a group of n.
Exc 2. (m)- Suppose X1-,X2,.,X100 are i.i.d. random vari
3.4 QR Factorization via the Householder and
Givens Transformations
The QR factorization of A is A = QR where QT Q = I and R is an upper triangular
T
matrix. Multiply A by Q
to get QT A = Q T QR = R. An alternative to the Gram-Schmidt
T
methods is to find
Vol. 4, No. 4/April 1987/J. Opt. Soc. Am. A
Berthold K. P. Horn
629
Closed-form solution of absolute orientation using unit
quaternions
Berthold K. P. Horn
Department of Electrical Engineering, University of Hawaii at Manoa, Honolulu, Hawaii 96720
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Power series
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Informatica Economic, nr. 2 (42)/2007
132
Applying the Moment Generating Functions to the Study
of Probability Distributions
Silvia SPTARU
Academy of Economic Studies, Bucharest
In this paper, we describe a tool to aid in proving theorems about random var
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Ratio distribution
From Wikipedia, the free encyclopedia
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A ratio distribution (or quotient distribution) is a probability distribution constructed
Department of Mathematics
Tutorial Sheet No. 6
MAL 509 (Probability Theory)
1. For arbitrary random variables, X and Y , show that
P (X + Y x + y) P (X x) + P (Y y) P (X x, Y y), x, y R
1/n
2. Show that: FX1 ,X2 ,.,Xk (x1 , x2 , . . . , xk ) [FX1 (x1 )FX2
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Failure rate
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Failure rate is the frequency with which an engineered system or component fails, expressed in
C
18.440: Lecture 18
Uniform random variables
Scott Sheeld
MIT
18.440 Lecture 18
1
Outline
Uniform random variable on [0, 1]
Uniform random variable on [, ]
Motivation and examples
18.440 Lecture 18
2
Outline
Uniform random variable on [0, 1]
Uniform random
Solutions to some exercises and problems
Teck-Cheong Lim
Department of Mathematical Sciences
George Mason University
4400, University Drive
Fairfax, VA 22030
U.S.A.
e-mail address: [email protected]
Abstract
Solutions to some exercises and problems from Stein
Paul's Online Math Notes
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