discrete mathematics - yale lecture notes - l lovasz (1999) ww
... d) 123 1 2 3 4 2 3 4 1 6 5 1 2 45 6 3 7 1 2 45 6 3 7 1 2 1 3 2 4 1 2 3 4 5 6 7 8 9 10 11
Ngày tải lên: 12/05/2014, 02:28
... ∈ B)”, the probability that X is in B. In these notes we will usually use capital letters to denote random variables. Boldface usually means a vector-valued mapping. We will also use without further ... collection of Borel subsets of R n , which is the smallest σ-algebra of subsets of R n containing all open sets. We may henceforth informally just think of B as containing all the “nice, wel...
Ngày tải lên: 31/03/2014, 15:56
... collection of n balls has all green balls. Now, remove one ball from this collection and put the ball which was left out. Observe that the ball removed is green as by induction hypothesis all ... Therefore, we see that all the n + 1 balls are green. Hence the result follows by induction hypothesis. 2. In any collec tion of n lines in a plane, no two of which are parallel, all the lines pass t...
Ngày tải lên: 31/03/2014, 12:20
DISCRETE MATHEMATICS NOTES pot
... Notes Notes Discrete Mathematics Notes Discrete Notes Discrete Mathematics Notes Discrete Discrete Mathematics Notes Discrete Discrete Mathematics Notes Discrete Mathematics Discrete Mathematics Notes ... Mathematics Notes Discrete Notes Discrete Mathematics Notes Discrete Discrete Mathematics Notes Discrete Discrete Mathematics...
Ngày tải lên: 08/03/2014, 12:20
Lecture Notes in Mathematics Editors: J.--M. Morel doc
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Ngày tải lên: 14/03/2014, 18:20
matlab lecture notes
... hàm mũ. expm1 - tính chính xác exp(x )-1 . log - logarit cơsố tự nhiên. log1p - tính chính xác log(1+x). log10 - logarit cơsố 10. reallog - loga cơsố tự nhiên của số thực. realsqrt - căn bậc hai ... trợ giúp) matlab/general - Các l nh với mục đích tổng quát. matlab/ops - (operators) Các toán tử và các ký tự đặc biệt matlab/lang - (language) Ngôn ngữ l...
Ngày tải lên: 21/09/2013, 16:27
Lecture Notes: Introduction to Finite Element Method (Chapter 2)
... Lecture Notes: Introduction to Finite Element Method Chapter 1. Introduction © 1998 Yijun Liu, University of Cincinnati 7 II. Review of Matrix Algebra Linear System of Algebraic Equations a ... : (3) A is called a n×n (square) matrix, and x and b are (column) vectors of dimension n. Lecture Notes: Introduction to Finite Element Method Chapter 1. Introduction © 1998 Yijun Liu, Universit...
Ngày tải lên: 17/10/2013, 11:15
Lecture Notes: Introduction to the Finite Element Method
... 2-D (Plane) Element (Membrane, plate, shell, etc.) 3-D (Solid) Element (3-D fields - temperature, displacement, stress, flow velocity) © 199 7-2 003 Yijun Liu, ... Beam Elements I. Linear Static Analysis Most structural analysis problems can be treated as linear static problems, based on the following assumptions 1. Small deformations (loading...
Ngày tải lên: 23/10/2013, 15:46
LECTURE NOTES ON ELECTRICAL & ELECTRONIC TECHNIQUE
... Power Amplifiers 6. DC Signal amplifiers 7. Sine-wave Oscillators 8. Pulse Circuits 9. Digital Circuits 10. Power Supply Circuits About the Lecture notes file:///D:/__TCBinh_Laptop_Y0809/_COURSEs_Y0809S1/1_Electrica ... C LECTURE NOTES ON ELECTRICAL & ELECTRONIC TECHNIQUE By Nguyen Nhu Phong 1. Electric Circuits 2. Electric Machines 3. Electronic devices &a...
Ngày tải lên: 25/10/2013, 13:15