Graphs of Exponential Functions

... study exponential sums associated to symmetric boolean functions F Any symmetric function is a linear combination of elementary symmetric polynomials, thus we start with exponential sums of elementary ... of exponential sums of symmetric boolean functions The correlation between two Boolean functions of n inputs is defined as the number of times the func...

Ngày tải lên: 08/08/2014, 14:23

... This completes the proof ε(x) = −8x2 − R EFERENCES [1] V CÎRTOAJE, On some inequalities with power-exponential functions, J Inequal Pure Appl Math., 10(1) (2009), Art 21 [ONLINE: http://jipam.vu.edu.au/article.php?sid=1077] ... completes the proof of the necessary condition We prove the sufficient condition Put a = − x and b = + x, where < x < Since the desired inequality is true fo...

Ngày tải lên: 15/08/2014, 16:55

... Chi, Local polynomial convexity of certain graphs in C2 , Michigan Math J 58 (2), 479-488 (2009) [7] Nguyen Quang Dieu, Local polynomial convexity of tangentials union of totally real graphs in ... (X)) then P (X) = C(X) Local polynomial convexity of graphs in Cn Now we come to the main results of this work Theorem 3.1 Let U be a open neighborhood of...

Ngày tải lên: 14/10/2015, 08:00

... Reserve Bank of India: Functions and Working ž¸¸£·¸ú¡¸ ¹£ö¸¨¸Ä ¤¸ÿˆ RESERVE BANK OF INDIA www.rbi.org.in Foreword The Reserve Bank of India, the nation’s central bank, began operations ... Publications by the Reserve Bank 112 Annex – List of Abbreviations 114 Index on Boxes S No Name of the Box Item Origins of the Reserve Bank of India Functions...

Ngày tải lên: 16/02/2014, 10:20

... Annals of Mathematics, 157 (2003), 289–312 Norm preserving extensions of holomorphic functions from subvarieties of the bidisk By Jim Agler and John E McCarthy* Introduction A basic result in the theory ... proof in an appendix at the end of the paper 295 HOLOMORPHIC FUNCTIONS The equivalence of the von Neumann inequality and the extension property...

Ngày tải lên: 05/03/2014, 23:20

... F1 (ATGGAGAACTCAGT GACCCAAGATGGTAT) and 70b R1 (AGAATTCTGAG GTTGAAGAAGCTAGTAA) primers, and 70b F2 (TACT ATCAGCAGAAGCAATGTGGTGATA) and 70b R2 (TTACTGAGATGTCTTGTTCTTGGAAATGT) primers for atrpa70b ... DNA binding and chromatin association of ATR (ataxia telangiectasia-mutated and Rad3-related) in vitro via ATR interacting protein [4,22,23] Rad17 and Rad9 complexes (Rad17–RFC...

Ngày tải lên: 07/03/2014, 21:20

... order of the sum of two functions is not greater than the larger of the orders of the two summands, and if the orders of the summands and of the sum are all equal, then 21 the type of the sum ... all the zeros of g(z) lie in (−1, 0), then the zeros of h(z) also lie in K (iii) If the zeros of f (z) lie in (−a, a) and the zeros...

Ngày tải lên: 10/03/2014, 16:15

... Localization techniques Peetre-like theorems Hochschild homology of Whitney functions Hochschild cohomology of Whitney functions Cyclic homology of Whitney functions Whitney- de Rham cohomology of subanalytic ... subanalytic subsets, one calls the triangulation T compatible with the Xj , if every one of the sets Xj is a union of simplices h(Δ), THE...

Ngày tải lên: 22/03/2014, 20:21

... processing for the tasks of document summarization (Lin and Bilmes, 2010) and word alignment (Lin and Bilmes, 2011) Submodular functions share a number of properties in common with convex and concave functions ... monotone submodular function yields a submodular function, and summing them all together retains submodularity, as mentioned in Section The monotonicity of R(S)...

Ngày tải lên: 23/03/2014, 16:20

... Fred Karlsson 1990 Constraint Grammar as a framework for parsing running text Proceedings of COLING-90 Vol 3, 168-173, Helsinki Tiina Puolakainen 1998 Developing Constraint Grammar for Morphological ... supervision of trustee.' Conclusions In this paper I described my work on the syntactic part of Estonian Constraint Grammar parser The error rate of parser is 1-4% de...

Ngày tải lên: 24/03/2014, 03:21

... Annals of Mathematics, 167 (2008), 625–642 Uniform expansion bounds for Cayley graphs of SL2(Fp) By Jean Bourgain and Alex Gamburd* Abstract We prove that Cayley graphs of SL2 (Fp ) are ... UNIFORM EXPANSION BOUNDS FOR CAYLEY GRAPHS OF SL2 (Fp ) 627 Our second result shows that random Cayley graphs of SL2 (Fp ) are expanders (Given a group G, a rand...

Ngày tải lên: 29/03/2014, 07:20

Ngày tải lên: 13/05/2014, 09:37

... THE APPLICATION OF HYPERBOLIC FUNCTIONS TO WIRE TELEPHONY 112 !X X 86 THE APPLICATION OF HYPERBOLIC FUNCTIONS TO WIRE TELEGRAPHY 179 HYPERBOLIC APPLICATIONS OF MISCELLANEOUS FUNCTIONS TO ELECTRICAL ... radius -vector As the radius-vector ; ÆTHE ORCE RF TO ELECTRICAL ENGINEERING PROBLEMS describes * a hyperbolic sector a circular angle /?=AOE, and also a...

Ngày tải lên: 04/06/2014, 12:30

... continue the discussion of some of the questions for quotients and differences of hypergeometric functions that were left open in [2] Motivated by the asymptotic behavior of the function F (x) = ... g(y) ≥ g(x + y − xy), and the proof of the first part of Theorem 3.6 is complete The proof of the second part is similar Note that the condition c ∈ (1/2, ∞), d ≥ c/(2c − 1) o...

Ngày tải lên: 18/06/2014, 15:20