A note on uniqueness boundary of holomorphic mappings

... be considered as giving rise to another single suffix, namely, the concatenation (eni) of the two individual suffixes We may then write the translation program as if, without exception, only one ... be done on this problem (paralleling [1]) to determine whether there are word patterns which are indicative of the need to insert an article, and of which article to insert Struc...

Ngày tải lên: 23/03/2014, 13:20

... integrating out the distribution G Note that as long as the base distribution P0 is fixed, predictions not depend on the seating arrangement z−i , only on the count of word w w in the previously ... tables Of particular note for our discussion is that in order to calculate these conditional distributions we must know the table assignments z−i for each of the words i...

Ngày tải lên: 31/03/2014, 00:20

... numbers and its derivatives,” Journal of Mathematical Analysis and Applications, vol 339, no 1, pp 598–608, 2008 13 T Kim, On the analogs of Euler numbers and polynomials associated with p-adic ... generalized twisted Bernoulli numbers and polynomials of higher order,” Journal of Computational Analysis and Applications, vol 12, pp 695–702, 2010 27 T Kim, On a q...

Ngày tải lên: 21/06/2014, 16:20

... “The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming,” Mathematical Programming, 2008 D Noll, “Local convergence of an augmented Lagrangian method for ... Optimality conditions Let the Lagrangian function of 1.1 be L x, λ, μ f x λ, h x μ, g x 2.8 Journal of Inequalities and Applications Robinson’s constraint qualification...

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Ngày tải lên: 05/08/2014, 15:21

... complete the proof it is sufficient to show that the number of (k, )sum-free subsets of [1, n] satisfying either (1) or (2) is o(2n/ρ ) Denote by B the set of all such subsets, and let B(K, L, M) ... progressions with the difference ρ Precisely ϕr of them have length n/ρ and ϕ − ϕr are of length n/ρ Since these progressions are pairwise disjoint, there are at least (ϕ + ϕ...

Ngày tải lên: 07/08/2014, 06:20

... apply, with the same conclusion and proof as the above corollary In conclusion, we raise the question as to whether there is a q-analogue of formula (1), (q) i.e., for the (0,1)-inclusion matrix ... t) = in the hypothesis of our theorem precludes a new proof of Wilson’s theorem via our recursive formula In the special case when the characteristic p of F is larger than k,...

Ngày tải lên: 07/08/2014, 06:22

... Since no directed C4 contains v ∗ as a vertex, we must have that every w ∈ A appears in at least one of A or A+ (it may appear in both; in particular, v ∗ appears in both A and A+ as there are ... Proof of the main result Let G = (V, E) be an Eulerian bipartite digraph We may assume that G does not contain antiparallel edges, since otherwise G has a directed cyc...

Ngày tải lên: 07/08/2014, 06:23

... in: B E Sagan, R P Stanley (Eds.), Mathematical Essays in honor of Gian-Carlo Rota, Birkauser, Basel 1998, pp 111-129 [3] Z G Liu, Some operator identities and q-series transformation formulas, ... (13) The proof is completed References [1] G E Andrews, Ramanujan’s ”lost” notebook I Partial θ-functions, Adv in Math 41 (1981), 137-172 [2] W Y C Chen - Z G Liu, Parameter augmentation for basi...

Ngày tải lên: 07/08/2014, 08:22

... use pseudo-compositions of n to index the type B quasisymmetric functions Define BQsymn as the vector space of functions spanned by the type B monomial quasisymmetric functions: MB,α := xα1 xα2 ... so that generating functions for the P -partitions of permutations of π ∈ Sn form a basis for Qsymn We have the following theorem related to P -partitions of permutations, due to Gesse...

Ngày tải lên: 07/08/2014, 13:21

... above argument with the portion of R beginning at um−1 and the vertex um Theorem Let hp (n) be the minimum number of distinct hamiltonian paths in a strong tournament of order n Then   · β n−3 ... occur in the same order on Ri as they on Pi (resp Qi ) Now H = R1 vR2 is a hamiltonian path of T Furthermore, distinct hamiltonian paths of T [A] (resp T [B...

Ngày tải lên: 07/08/2014, 13:21

... representation of G Any graph that admits a circular interval representation is called a circular interval graph A special case of circular interval graphs are linear interval graphs which are defined ... factorial Corollary The class of circular interval graphs and the class of linear interval graphs are factorial Proof Corollary follows from the fact that both classes...

Ngày tải lên: 08/08/2014, 14:23

... make sense, since in either case the economic impact on the state and, thus, the size of the state's economy, is the same After all, the source of the impact is the new job (an expansion of the ... probably a small fraction of the total amount calcu- ECONOMIC IMPACT OF HIGHER EDUCATION 237 lated by Bluestone and others This is because the Bees...

Ngày tải lên: 20/02/2014, 19:20

... cost of capital Keywords Weighted Average Cost of Capital, WACC, firm valuation, capital budgeting, equity cost of capital JEL codes D61, G31, H43 ii A Note on the Weighted Average Cost of Capital ... 11 The WACC calculations are made estimating the debt and equity participation in the total value of the firm for each period and calculatin...

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