latest seminar topics for computer science engineering 2013

... are therefore very nice for sums. But do they have any other redeeming features? Must we convert our old friendly ordinary powers to falling powers before summing, but then convert back before we ... to understand the general formula for the sum of a geometric progression: t a<k<b for c # 1. Every time we encounter a function f that might be useful as a closed form, we can compute its ... Au(x). (2.54) This formula can be put into a convenient form using the shij?! operator E, defined by Ef(x) = f(x+l). Substituting this for v(x+l) yields a compact rule for the difference

Ngày tải lên: 14/08/2014, 04:21

... notation for it; but alas, number theorists haven’t come up with a very good one yet. Therefore we cry: HEAR us, 0 MATHEMATICIANS OF THE WORLD! LETUS NOTWAITANYLONGER! WE CAN MAKEMANYFORMULAS ... ma-nb = 1. (4.32) (Actually we said m’m + n’n = gcd( m, n), but we can write 1 for gcd( m, n), a for m’, and b for -n’.) The Farey series gives us another proof of (4.32), because we can let ... entire equations, for which a slightly different notation is more convenient: a s b (mod m) amodm = bmodm. (4.35) For example, 9 = -16 (mod 5), because 9 mod 5 = 4 = (-16) mod 5. The formula ‘a =

Ngày tải lên: 14/08/2014, 04:21

... h(n, k) are there for exactly k fans to get their own hats back? For example, if n = 4 and if the hats and fans are... integer x 3 0 (5 .44 ) This formula is valid for any function f(x) ... integers j is zero, by (5.24). Hence -S, is the sum for j < 0. To evaluate -S, for j < 0, let’s replace j by -k - 1 and sum for k 3 0: m! n! sm = (m+n+l)! k>O ~(-l)frn,+“k’l) ... coefficients of the form (p) into binomial coefficients of the form (nm;‘2), where n is some appropriate integer (usually 0, 1, or k); the resulting formula might be much

Ngày tải lên: 14/08/2014, 04:21

... nearly as often. Therefore it’s best for us just to list the simplest ones, for future reference when a tough Stirling nut needs to be cracked. Tables 250 and 251 contain the formulas that are most ... XpJ,(X)2Q TX>0 (6 .53 ) (iln& - = x&o,(x+n)zn; / Therefore we can obtain general convolution formulas for Stirling numbers, as we did for binomial coefficients in Table 202; the results appear ... numbers. We can therefore perform “absorption” in terms like n[z] and k{ T}, when we do proofs by mathematical induction. Every permutation is equivalent to a set of cycles. For example, consider

Ngày tải lên: 14/08/2014, 04:21

... F,+I , for n > 0. (We consider this to be a closed form for Tnr because the Fibonacci numbers are important enough to be considered “known!’ Also, F, itself has a closed form (6.123) ... before. tilings, for all n 3 0, and call it T: T =~+o+rn+~+m~+m+a+ (7.1) (The first term ‘I’ on the right stands for the null tiling of a 2 x 0 rectangle.) This sum T represents lots of information. ... and get a closed form for the coeffi- cients, but it’s bett,er to save that for later in the chapter after we’ve gotten more experience. So let’s divest ourselves of dominoes for the moment and

Ngày tải lên: 14/08/2014, 04:21

... Introduction “Algorithmic analysis” is a branch of computer science that derives quantitative information about the efficiency of computer methods “Probabilistic analysis of an algorithm” ... going... Let F(z) and G(z) be the pgf’s for X and Y, and let H(z) be the pgf for X + Y Then H(z) = F(z)G(z), and our formulas (8.28) through must have (8.31) for mean and variance tell us that ... as before. And if j < k we have E(F,,j F,,k) = Pr(rr has both j and k as fixed points) = (n - 2)!/n! = l/n(n - 1). Therefore E(FfJ = ; + n ;! = 0 2 n(n-1) 2, for n

Ngày tải lên: 14/08/2014, 04:21

... stands for “‘real part.” valid for !.Xz > 9%~. The asymptotic formula for Bernoulli numbers B, in Table 438 illustrates this principle. On the other hand, the asymptotic formulas for H,, ... a formula. Problem 2: Perturbation of Stirling’s formula. Stirling’s approximation for n! is undoubtedly the most famous asymp- totic formula of all. We will prove it later in this chapter; for ... remainder R, is often small For example, we’ll see that Stirling’s approximation for n! is a consequence of Euler’s summation formula; so is our asymptotic approximation for the harmonic number

Ngày tải lên: 14/08/2014, 04:21

... + j, a3 , , a, ,,; b2, , b,; z) for 0 6 j 6 d, thereby eliminating an upper parameter and a lower parameter Thus, for example, we get closed forms for F( a, b; a - 1; z), F( a, ... any of these formulas is, of course, sheer lunacy. 502 ANSWERS TO EXERCISES 4.22 (b,” - l)/(b-1)= ((bm-l)/(b-l))(bmn~m+~~~+l). [Theonly prime numbers of the form (1 OP - 1)/9 for p e 2000 ... 1 )/p for some prime p and some positive integer q; this is impossible, since nkq $ 1. Therefore the numbers n’ mod m, . . , nmP’ mod m are distinct and relatively prime to m. Therefore the

Ngày tải lên: 14/08/2014, 04:21

... with probability g(l - p)/((l ~ sp)B) Choosing p = i makes Pr (X = x and Y = 9) = & for all x and y (We could therefore make two flips of a fair coin and go back to Sl if both come up heads.) q 564 ... sin28, where X is to be determined It follows by induction (not using the equation for Al) that Ak = X sin2kO Therefore we want to choose X such that ( 4cos28 > 1-p X sin;!10 = + & X sin(21- 218 ... the average is zero Therefore we need only consider the coefficient of si, which is t 1Sh1 , I h,,Sm Pih,, ,h,;k)2 -’ t mn -( lO B,(i)z."'/m! 9.18 The text’s derivation for the case OL = generalizes

Ngày tải lên: 14/08/2014, 04:21

... table contains (a) variables; (b) formulas; (c) values of formulas under one interpretation; (d) values of formulas under all interpretations; (e) operations If formulas  and  have the same truth ... (d) variables; (e) quantifiers A formula in logic is valid if (a) it is true for some interpretation; (b) it is true for all interpretations; (c) it is true for no interpretation; (d) it is an ... axiom; (e) it is not disproven A formula in logic is satisfiable if (a) it is true for some interpretation; (b) it is true for all interpretations; (c) it is true for no interpretation; (d) it is

Ngày tải lên: 17/11/2016, 22:23

... steam-curing at 60oC for 24 hours In order to optimize the usage of formwork, the products were cast and steam-cured initially for about hours The steam-curing was then stopped for some time to allow ... used in the case of reinforced Portland cement concrete columns and beams are applicable for reinforced geopolymer concrete columns Mid-span deflection at service load of reinforced geopolymer concrete ... “Bond performance of Reinforcing Bars in Inorganic Polymer Concrete (IPC)”, Journal of Materials Science, Sumajouw, M D J and Rangan, B.V., “Low-Calcium Fly Ash-Based Geopolymer Concrete: Reinforced

Ngày tải lên: 09/12/2016, 07:56

... An Khuong, Huynh Tuong Nguyen Chapter Sets and Functions Contents Sets Discrete Structures for Computer Science (CO1007) on Ngày tháng 10 năm 2016 Set Operation Functions One-to-one and Onto Functions ... Functions Sequences and Summation Recursion Nguyen An Khuong, Huynh Tuong Nguyen Faculty of Computer Science and Engineering University of Technology, VNU-HCM 4.1 Contents Sets and Functions Nguyen ... sự) of B One-to-one and Onto Functions Sequences and Summation Recursion • ∀x(x ∈ A → x ∈ B) • For every set S, (i) ∅ ⊆ S, (ii) S ⊆ S 4.8 Cardinality Sets and Functions Nguyen An Khuong, Huynh

Ngày tải lên: 29/03/2017, 18:30

... Huynh Tuong Nguyen Chapter Relations Contents Properties of Relations Discrete Structures for Computer Science (CO1007) on Ngày tháng 11 năm 2016 Combining Relations Representing Relations Closures ... Relations Types of Relations Homeworks Nguyen An Khuong, Huynh Tuong Nguyen Faculty of Computer Science and Engineering University of Technology, VNU-HCM 4.1 Contents Relations Nguyen An Khuong, ... equivalence classes of an equivalence relation R on a set S form a partition of S Homework Every partition of a set can be used to form an equivalence relation 4.31 Relations Example Nguyen An

Ngày tải lên: 29/03/2017, 18:30

... Structures for Computer Science (CO1007) on Ngày 17 tháng 11 năm 2016 Counting Techniques Pigeonhole Principle Permutations & Combinations Nguyen An Khuong, Huynh Tuong Nguyen Faculty of Computer Science ... project from one of three fields: Information system (32 projects), Software Engineering (12 projects) and Computer Science (15 projects) How many ways are there for a student to choose? Solution: ... Question: How many ways we can choose students from the faculties of Computer Science, Electrical Engineering and Mechanical Engineering? Permutations & Combinations 5.23 Counting Example Nguyen

Ngày tải lên: 29/03/2017, 18:30

... one formula for another ‘true true >A SA - ; ; BOA false + A = true Definition 2.17 A is a subformula of B if the formation tree for A occurs as a subtr A@true = 7A of the formation tree for ... from computer science (graphs, languages, programs) are used Prolog implementations of many of the algorithms are given; for a computer science student, the study of a concrete program can reinforce ... sufficiently elementary for the undergraduate Audience The book is intended for undergraduate computer science students No specific mathe- matical knowledge is assumed aside from informal set theory

Ngày tải lên: 11/05/2018, 15:13

... operation does the circuit perform? Full download Test Bank for Computer Science An Overview 12th Edition http://testbankcollection.com/download/test-bank -for- computer- science- an-overview-12th-edition ... 00001111 - 10101010 Full download Test Bank for Computer Science An Overview 12th Edition http://testbankcollection.com/download/test-bank -for- computer- science- an-overview-12th-edition A 011000101 ... D B 3/16 C D 1/4 Full download Test Bank for Computer Science An Overview 12th Edition http://testbankcollection.com/download/test-bank -for- computer- science- an-overview-12th-edition 16 Which

Ngày tải lên: 04/06/2018, 15:28

... of LSP computer science Language The idea of a complementary English course book for computer science students evolved for Specific Purposes when I was asked to run an English course for such ... English for Computer Science Students Complementary Course Book open book Jagiellonian Language Center Jagiellonian University Cracow 2008 English++ Książka English++ English for Computer Science ... Institute of Computer Science for the support of my initiative; Professor Władysław Miodunka for helping me to maintain belief in the value of the Project, Dr Rafał Maciąg and Jerzy Zając for their

Ngày tải lên: 29/08/2018, 10:59

... This is full of Test bank for Computer Science An Overview 12th Edition by Brookshear SM https://getbooksolutions.com/download /computer- science- an-overview-12th-editionby-brookshear-sm ... constructing complex circuitry in a very small space General Format Questions Describe how a computer can produce an incorrect answer when performing numerical computations even though it has not malfunctioned ... 101 -4 100 10 To what does the term “normalized form” refer in the context of floating-point notation? ANSWER: Normalized form refers to a standard for positioning the bit pattern within the mantissa

Ngày tải lên: 01/03/2019, 14:33

... C++ for Computer Science and Engineering Vic Broquard Copyright 2000, 2002, 2003, 2006 by Vic Broquard All rights reserved No part of this book may be reproduced or transmitted in any form without ... substantially longer to perform.) Thus, it is the ability of the modern computer to perform reliably and to perform at great speed that has made it so powerful Introduction to Programming Computers have ... was formally standardized by ISO (International Standards Organization) This means that now your C++ program can be written and compiled on any computer platform (PCs, minicomputers, mainframe computers)...

Ngày tải lên: 19/03/2014, 14:14

... learned for years, others for years and the rest has learnt for years In the department of information technology at our college, they engage in ESP course, it means English for Computer Science, ... challenges in learning reading ESP for computer science, the questionnaires were designed for students Then data were analyzed and the information was displayed in the form of tables III.4 Summary ... examine the areas of challenges in reading comprehension of English for Computer Science for second-year students in the department of information technology at Nghe An JTTC To be more specific, the...

Ngày tải lên: 18/12/2013, 15:37