geometric theorems, diophantine equations and arithmetic functions - j sandor

... 443. 26 J zsef Sándor D EPARTMENT OF M ATHEMATICS B ABE Ş -B OLYAI U NIVERSITY 3400 CLUJ - NAPOCA , ROMANIA Geometric Theorems, Diophantine Equations, and Arithmetic Functions ... advances in geometric inequalities, Kluwer Acad. Publ. 1989. 3. J. S´andor, Geometric inequalities (Hundarian), Ed. Dacia, Cluj, 1988. 15 4 On a geometric inequality for th...

Ngày tải lên: 31/03/2014, 16:22

... min 2 j p {|α 1 − α j | −1 } and |X − α 1 Y |≤2 p−1  2 j p |α 1 − α j ||Y | −p+1 ≤ 2 2p 2 |Y | −p+1 ,(31) since |X − α j Y |≥|α 1 − α j |·|Y |/2if|X − α 1 Y |≤|α 1 − α j |·|Y |/2, for any j =2, ... (18) and apply level-lowering. Our objective is to give the Lucas analogue of Propositions 7.2 and 7.3. CLASSICAL AND MODULAR APPROACHES 985 Suppose then that (n, y, p) is a so...

Ngày tải lên: 06/03/2014, 08:21

... their semantic and syntactic functions of English adjectives as follows: stative and dynamic adjectives, gradable and non- gradable adjectives, inherent and non- inherent adjectives. Furthermore, ... compound -ing premodifying adjectives with adjectives: ill-smelling, good-looking, with adverbs: hard-working, far- seeing, for example: She is a good-looking girl. 3.3.1.2 Adjective...

Ngày tải lên: 10/04/2013, 14:46

... for the pseudo-Newtonian and radiative heat transfer laws, and stage-by-stage optimization (i.e. the first stage is optimized, and then the second stage is optimized, such -and- such repetition) ... heat and mass transfer. Int. J. Thermodyn., 2003, 6(2): 1-9 . International Journal of Energy and Environment (IJEE), Volume 3, Issue 3, 2012, pp.35 9-3 82 ISSN 207 6-2 895 (...

Ngày tải lên: 05/09/2013, 15:28

... (18.6.1) 816 Chapter 18. Integral Equations and Inverse Theory Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 ) Copyright (C) 198 8-1 992 by Cambridge University ... (18.6.7) where q(x) and R are each vectors of length N, the number of measurements. Standard propagation of errors, and equation (18.6.1), give B = Var[u ( x )] =...

Ngày tải lên: 17/10/2013, 22:15

Ngày tải lên: 18/10/2013, 17:15

... two functions g 1 and g 2 on IR n : g 1 (x) = sup{h(x) : h is proper and convex, h ≤ f } g 2 (x) = inf{  k j= 1 α j f (x j ) : k = 1, 2, . . . ; α ∈ ∆ k , x j ∈ dom f ,  k j= 1 α j x j = x} where ... {(α 1 , . . . , α k ) :  k j= 1 α j = 1, α j ≥ 0 for j = 1, . . . , k} tvnguyen (University of Science) Convex Optimization 22 / 108 Chapter 1 Convex sets and convex...

Ngày tải lên: 23/10/2013, 15:20

... f  (u µ )=  j λ j R j (18.7.15) or defining a function G as the inverse function of f  , u µ = G    j λ j R j   (18.7.16) This solution is only formal, since the λ j ’s must be found ... together. 820 Chapter 18. Integral Equations and Inverse Theory Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 ) Copyright (C...

Ngày tải lên: 24/10/2013, 15:15

... only if your project contains many functions. In this exercise, using both local variables and a function that returns a value, you'll script the cable box display in our project, which displays ... Applications that require many and frequent calculations create a lot of variables and will slow applications over time. By using local variables, however, you minimize memory usa...

Ngày tải lên: 07/11/2013, 15:15

... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 ) Copyright (C) 198 8-1 992 by Cambridge University Press.Programs Copyright (C) 198 8-1 992 by Numerical Recipes Software. Permission ... integral relations among functions in an infinite-dimensional function space, and plain old linear equations, which specify analogous relations among vectors in a finite-d...

Ngày tải lên: 21/01/2014, 18:20