add a note on types of retainers

... Define the map h : {a, b}∗ → {a, b}∗ by h (a) = ab, h(b) = ba Let l = aabaab Thus lR = baabaa We see that the prefixes of l which are suffixes of lR are exactly a, aa, aabaa Lemma 2.6 Word l is avoided ... Since aab and baa are subwords of mi , both aaf (b) and f (b)aa are subwords of mj It follows that f (b) has b as a prefix and a suffix, since otherwise aaa appears in mj , a contradiction since ... with a b, we conclude that baab is a prefix of f (b) As aab appears internally in mi , we conclude that f(aab) occurs internally in mj A prefix of f(aab) is aabaab = l It follows that l appears...

Ngày tải lên: 07/08/2014, 06:20

... regard are two-dimensional grids [2, 3], Aztec diamonds [4], and honeycomb graphs [5] A reason this has attracted considerable interest, from both mathematicians and specialists in other areas, ... The graph G3 have focused special attention on this problem when the graphs in question are planar, have a repeating pattern and/or have a geometric description Some important families of graphs ... of n+1 It remains only to prove the claim that each equivalence class has cardinality This follows from our earlier observation: each of the internally satisfied blocks can be rematched in any...

Ngày tải lên: 07/08/2014, 21:21

... points and let O1 be the circumcenter of A B C Recall that the circumcircles of triangles ABH, BCH, CAH all have equal radii as they are reflections of the circumcircle of ABC over the triangle’s ... images are lines that all have the same distance from H So H is the incenter of A B C (that’s the key!) We construct point M as the intersection of A C and the circumcircle of A B H As M was ... the longest side of a scalene triangle ABC Point K on the ray CA satisfies KC = BC Similarly, point L on the ray BA satisfies BL = BC Prove that KL is perpendicular to OI where O and I denote the...

Ngày tải lên: 15/08/2014, 16:55

... Bergeron and C Hohlweg, Coloured peak algebras and hopf algebras, arXiv: math.AC/0505612 [3] C Bonnaf´ and C Hohlweg, Generalized descent algebra and construction of irree ducible characters of ... functions, Contemporary Mathematics 34 (1984), 289–317 [6] R Mantaci and C Reutenauer, A generalization of Solomon’s algebra for hyperoctahedral groups and other wreath products, Communications ... a descent of a permutation π ∈ Sn is a position i such that πi > πi+1 , and that an increasing run of a permutation π is a maximal subword of consecutive letters πi+1 πi+2 · · · πi+r such that...

Ngày tải lên: 07/08/2014, 13:21

... Bluestone noted that the skill-base approach is particularly useful in the case of the University of Massachusetts at Boston (UMB), since 89% of undergraduates and 82% of graduates remain in Massachusetts ... reasonable to consider only a fraction of their increased income as an economic impact (since only a small percentage of those who stay near the university will so primarily as a result of economic ... substantially overestimates the economic impact of a university The overestimation arises from an incomplete consideration of the potential effects migration has on human resource location This note argues...

Ngày tải lên: 20/02/2014, 19:20

... The WACC calculations are made estimating the debt and equity participation in the total value of the firm for each period and calculating the contribution of each to the WACC after taxes As a first ... 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 ... this in the next table Our table for WACC and Total Value will appear as Table WACC calculations Year WACC after taxes (Debt + equity contributions) Total value TV, at t-1 and WACC = 0 840,649.45...

Ngày tải lên: 07/03/2014, 00:20

... insert an article, and of which article to insert Structure of the Translation Scheme Three dictionaries are envisaged: a stem dictionary, a prefix dictionary, and a suffix dictionary If one were ... suffix, and stem dictionaries, respectively, the results obtained have been encouraging, although not faultless For example, a- li-amkwa means "he was awoken." TRANSLATION OF SWAHILI INTO ENGLISH (A ... there is a good practical reason If a program to translate Swahili into English is to be useful (rather than purely academic research), it must be usable in Tanzania Until recently, the only computers...

Ngày tải lên: 23/03/2014, 13:20

... 314–323, Honolulu, Hawaii Association for Computational Linguistics S Ferguson 1973 A Bayesian analysis of some nonparametric problems Annals of Statistics, 1:209–230 J R Finkel, T Grenager, C D Manning ... derivation Due to a misinterpretation of Antoniak (1974), GGJ06 use an approximation that leaves out all the P1 (w) terms from (4).1 Figure compares the approximation to the exact expectation when ... trailing term leads to the approximation in Antoniak (1974) However, we can obtain an exact formula for the expectation by utilising the relationship between the Digamma function and the harmonic numbers:...

Ngày tải lên: 31/03/2014, 00:20

Ngày tải lên: 02/06/2014, 09:39

... ASCLT for self-normalized partial sums of random variables in the domain of attraction of the normal law, we will show that the ASCLT holds under a fairly general growth condition on dk = k−1 exp(ln ... the domain of attraction of the normal law, if there exist constants an > 0, bn ∈ R such that S n − bn d −→ N, an where N is the standard normal random variable We say that {Xn }n∈N satisfies ... work was supported by the National Natural Science Foundation of China (11061012), the project supported by program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi...

Ngày tải lên: 20/06/2014, 21:20

... Joag Dev, K, Proschan, F: Negative association of random variables with applications Ann Stat 11(1), 286–295 (1983) doi:10.1214/aos/1176346079 Matula, P: A note on the almost sure convergence of ... Huang et al Journal of Inequalities and Applications 2011, 2011:92 http://www.journalofinequalitiesandapplications.com/content/2011/1/92 Page of Kolmogorov-Chung-type strong law of large numbers, ... China Authors’ contributions HH, DW and QW carried out the design of the study and performed the analysis QZ participated in its design and coordination All authors read and approved the final manuscript...

Ngày tải lên: 20/06/2014, 22:20

... independent random variables have been extended to dependent random variables by many authors The concept of negatively associated random variables was introduced by Alam and Saxena [6] and carefully ... associated random variables Theorem 1.4 Let {Xni, ≤ i ≤ kn, n ≥ 1} be an array of rowwise negatively associated random variables and {an, n ≥ 1} a sequence of nonnegative constants Suppose that ... general than Theorem 1.4 Sung Journal of Inequalities and Applications 2011, 2011:76 http://www.journalofinequalitiesandapplications.com/content/2011/1/76 Page of Proof of Theorem 1.4 Note that...

Ngày tải lên: 20/06/2014, 22:20

... in a non-tangential angle of opening a at ζ, then a short calculation shows that lim sup z→ζ δϕ(D)(z) απ ≤ tan δD (z) and the assertion follows □ Jones Journal of Inequalities and Applications ... of Ω plays a complicated role in the behaviour of  We conclude this section by constructing a domain that displays very bad boundary properties This answers a question of Madigan and Matheson ... compact on B if and only if Page of Jones Journal of Inequalities and Applications 2011, 2011:31 http://www.journalofinequalitiesandapplications.com/content/2011/1/31 lim w→∂ δ (w) = δ (γ w) Page...

Ngày tải lên: 21/06/2014, 01:20

... numbers and polynomials associated with p-adic q-integral on Zp at q −1,” Journal of Mathematical Analysis and Applications, vol 331, no 2, pp 779–792, 2007 14 T Kim, A note on p-adic q-integral on ... order,” Journal of Computational Analysis and Applications, vol 12, pp 695–702, 2010 27 T Kim, On a q-analogue of the p-adic log gamma functions and related integrals,” Journal of Number Theory, ... in Contemporary Mathematics, vol 14, no 1, pp 49–68, 2007 L.-C Jang, On a q-analogue of the p-adic generalized twisted L-functions and p-adic q-integrals,” Journal of the Korean Mathematical...

Ngày tải lên: 21/06/2014, 16:20

... 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 CQ is said to hold at a feasible ... Zhang, “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 ... 10 E H Zarantonello, “Projections on convex sets in Hilbert space and spectral theory—I: projections on convex sets,” in Contributions to Nonlinear Functional Analysis (Proceedings of a Symposium...

Ngày tải lên: 22/06/2014, 18:20

... Boltzmann equation,” Hokkaido Mathematical Journal, vol 14, no 2, pp 249–275, 1985 Jiang Xu: Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China Email ... equations,” Transactions of the American Mathematical Society, vol 359, no 2, pp 637–648, 2007 [2] S Junca and M Rascle, “Strong relaxation of the isothermal Euler system to the heat equation,” ... towards those of (1.6) for arbitrary large initial data in BV (R) space Marcati and Milani [3] showed the derivation of the porous media equation as the limit of the isentropic Euler equations...

Ngày tải lên: 22/06/2014, 19:20

Ngày tải lên: 05/08/2014, 15:21

... essentially what we are looking at (The defining representation of Sn consists of the direct sum of the reflection representation and the trivial representation This trivial summand has no significant ... dimension of the row-span of a matrix is equal to the dimension of its column-span, we can equally well study the dimension of the space spanned by the columns of the table By the preceeding lemma, ... vector space spanned by all of these fλ (q)’s We have: Proposition 1.2 dim Fn = D(n) Proof Consider the table of the characters χN ; we are interested in the dimension of the row-span of this table...

Ngày tải lên: 07/08/2014, 06:20

... 3-SAT formulas From the set of legal colorings of a graph, Dunne and Zito singled out the special colorings that satisfy a maximality condition that, however, is a weaker form of maximality than ... Applications, Vol 1, 3rd Edition, 1968 [7] N Fountoulakis and C McDiarmid, personal communication [8] A Kamath, R Motwani, K Palem, and P Spirakis, “Tail bounds for the occupancy and the satisfiability ... order of 10−48 and they can safely be regarded as equal to Therefore, this provides attitional support that at this point the function attains its maximum As a final check, we generated 30000 random...

Ngày tải lên: 07/08/2014, 06:20

... d (A − A) , Λ (A) = maxA − minA, Λ (A) = Λ (A) /d (A) Furthermore, let κ (A) = Λ (A) − , |A| − θ (A) = max (A) , Λ (A) T (A) = ( |A| − 2)( κ (A) + − κ (A) ) + and hA = {a1 + · · · + ah : a1 , , ah ∈ A} ... ∈ A} For a specified set A, we simply write d, d , Λ, etc Our approach is based on a remarkable result of Lev [7] Using an a ne transformation of variables his theorem can be stated as follows ... of positive integers m ≤ r relatively prime to x and let ϕ(x) abbreviate ϕx (x) For a finite set A of integers A define: the electronic journal of combinatorics (2000), #R30 d (A) = gcd (A) , d (A) ...

Ngày tải lên: 07/08/2014, 06:20