... 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 ... References Anderson, JM: Bloch Functions: The Basic Theory Operators and Function Theory D Reidel 1–17 (1985) Madigan, K, Matheson, A: Compact Composition Operators onthe Bloch Space Trans Am Math...
... row-span of this table Since the dimension ofthe row-span ofa matrix is equal to the dimension of its column-span, we can equally well study the dimension ofthe space spanned by the columns ofthe ... essentially what we are looking at (The defining representation of Sn consists ofthe direct sum ofthe reflection representation and the trivial representation This trivial summand has no significant ... generating functions fλ (q) as rational functions over a common denominator; then the dimension of their span is bounded above by plus the degree of their numerators For example, one can see without...
... aB + k b ∼ exp √ in (A. 1) and note that in the matching region n/(2k b) ∼ We recall that a = b(1 − n2−k /b) The integrand in (A. 1) has a saddle point at B = a and a standard application ofthe ... large b and n, the conditions under which (c)–(e) apply may not be satisfied for any k However, for a fixed large b and k, we can always find a range of n such that each ofthe parts of Theorem apply ... [17]) are very useful In these applications, the parameter b is quite large, and may depend on n There are other applications of b-tries in computer science, communications and biology Among these...
... using Hall’s Theorem that B has a 1-factor, M By the definition ofthe bipartite graph B, the distance betweentwo end vertices of each edge in M is at least g − Now consider the k-regular graph ... theory A survey paper by P K Wong [8] in 1982 refers to 70 publications The study of cages has led to interesting applications of algebra to graph theory Recently, it also attracted some attention ... completes the proof References [1] J .A Bondy and U.S.R Murty,Graph Theory with Applications, North Holland, Amsterdam, (1976) [2] G Brinkmann, B.D McKay, and C Saager, The smallest cubic graphs of girth...
... than five and two players choose any pair of complement strings (except for the pair 11 10 and 00 01), then the third player can always attain an advantage by choosing a particular string Before ... has the same or better chance of occurring before σ1 and σ2 Proof The proof can be shown in a similar fashion to that of Theorem 2, so it is omitted Remark It should be noted that the inequalities ... i.e., either σ1 or σ2 has the better chance of occurring before σ3 Proof The proof is similar to that of Theorem and therefore omitted the electronic journal of combinatorics 17 (2010), #N5 Theorem...
... Theorem and may be seen as analogous to Theorem 1.2 of [3] In [3], partially for convenience, some assumptions are made about the connectivity of G which are not made in this note For related work on ... [1] Andrew Berget, Andrew Manion, Molly Maxwell, Aaron Potechin, and Victor Reiner The critical group ofa line graph arxiv:math.CO/0904.1246 [2] Alexander E Holroyd, Lionel Levine, Karola M´sz´ros, ... rooted at w∗ It is a well-known consequence ofthe matrix-tree theorem that the number of elements ofthe sandpile group with sink w∗ is equal to κ(G, w∗ ) For a basic exposition ofthe properties...
... those of β(z) = have negative real parts, and thetwo equations have no common roots The condition onthe roots of α(z) = is necessary for the stationarity ofthe process whereas that on β(z) ... non-decreasing Tsai & Chan (2005) characterised the non-negativity ofthe kernel for any CARMA(p, q) process in terms ofthe complete monotonicity of its Laplace transform They made use of this characterization ... determining the “optimal” rectangles based onthe sampled function values at the center ofthe existing rectangles, i.e choosing rectangles that may contain the global minimum ofthe function and (ii)...
... “Investigation ofthe solution ofa class of integral equations of Volterra type,” Izvestiya Vysshikh Uchebnykh Zavedeni˘ Matematika, vol 9, pp 3–9, 1987 ı 14 A Corduneanu, Anoteonthe Gronwall ... generalizations of Gronwall’s inequality,” Journal of Indian Mathematical Society, vol 37, pp 147–156, 1973 B G Pachpatte, Inequalities for Differential and Integral Equations, vol 197 of Mathematics ... , professor R P Agarwal USA , and anonymous reviewers for their valuable comments 18 Journal of Inequalities and Applications References R P Agarwal, Difference Equations and Inequalities: Theory,...
... 11 The WACC calculations are made estimating the debt and equity participation in the total value ofthe firm for each period and calculating the contribution of each to the WACC after taxes As ... stock exchange This non-traded stock has a debt Dnt of 70 and equity of Ent of 145 and a tax rate of 35%, and then beta for the non-traded stock can be adjusted as Based on Robert S Hamada, “Portfolio ... the firm value it is necessary to know the WACC, but to calculate WACC, the firm value and the financing profile are needed That we obtain full advantage ofthe tax savings in the same year as...
... insert an article, and of which article to insert Structure ofthe Translation Scheme Three dictionaries are envisaged: a stem dictionary, a prefix dictionary, and a suffix dictionary If one were ... passing that a disadvantage of Swahili is the absence of articles Some work must be done on this problem (paralleling [1]) to determine whether there are word patterns which are indicative ofthe need ... respects: (1) As already exemplified, suffixes can cause modification ofthe word stem (2) In all but one case, only one suffix is used at a time The exceptional case is supplied by two particular suffixes...
... Omitting the trailing term leads to the approximation in Antoniak (1974) However, we can obtain an exact formula for the expectation by utilising the relationship betweenthe Digamma function and the ... representation for the state ofthe restaurant that doesn’t require explicit table tracking.6 Instead we maintain a histogram for each dish wi ofthe frequency ofa table having a particular number of ... 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...
... domain of attraction ofthe 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 the ... ASCLT for self-normalized partial sums of random variables in the domain of attraction ofthe normal law, we will show that the ASCLT holds under a fairly general growth condition on dk = k−1 exp(ln ... Anoteonthe almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction ofthe normal law Qunying Wu1,2 College of Science, Guilin...
... variable sequences and NA random variable sequences are the most important and special cases of pairwise NQD random variable sequences, then we have the following results as two corollaries of ... (3:12) Huang et al Journal of Inequalities and Applications 2011, 2011:92 http://www.journalofinequalitiesandapplications.com/content/2011/1/92 Page ofThe proof of Theorem 2.1 is complete Remark ... 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,...
... 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 the ... 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...
... Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, vol 74 of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, ... competition equations,” Proceedings ofthe American Mathematical Society, vol 117, no 1, pp 199–204, 1993 S Ahmad and A C Lazer, Onthe nonautonomous N-competing species problems,” Applicable Analysis, ... LotkaVolterra competitive system with delays and feedback controls,” Journal of Computational and Applied Mathematics, vol 211, no 1, pp 1–10, 2008 S Ahmad, Onthe nonautonomous Volterra-Lotka...
... p-adic L-function,” Russian Journal of Mathematical Physics, vol 13, no 2, pp 151– 157, 2006 20 T Kim, “Power series and asymptotic series associated with the q-analog ofthe two- variable p-adic ... L-function,” Russian Journal of Mathematical Physics, vol 12, no 2, pp 186–196, 2005 21 T Kim, “Analytic continuation of multiple q-zeta functions and their values at negative integers,” Russian Journal ... Russian Journal of Mathematical Physics, vol 15, no 4, pp 447–459, 2008 37 K T Atanassov and M V Vassilev-Missana, On one of Murthy-Ashbacher’s conjectures related to Euler’s totient function,”...
... integration,” Russian Journal of Mathematical Physics, vol 9, no 3, pp 288–299, 2002 [6] T Kim, Anoteon p-adic invariant integral in the rings of p-adic integers,” Advanced Studies in Contemporary ... q-calculus and the limit q → − 1,” Advanced Studies in Contemporary Mathematics, vol 13, no 2, pp 131–141, 2006 [14] T Kim, Ona q-analogue ofthe p-adic log gamma functions and related integrals,” ... Cenkci and M Can, “Some results on q-analogue ofthe Lerch zeta function,” Advanced Studies in Contemporary Mathematics, vol 12, no 2, pp 213–223, 2006 [3] F T Howard, “Applications ofa recurrence...
... equations,” Transactions ofthe American Mathematical Society, vol 359, no 2, pp 637–648, 2007 [2] S Junca and M Rascle, “Strong relaxation ofthe 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 ofthe porous media equation as the limit ofthe isentropic Euler equations ... 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...
... 3-SAT formulas From the set oflegal colorings ofa graph, Dunne and Zito singled out the special colorings that satisfy a maximality condition that, however, is a weaker form of maximality than ... denote the fact that the first two variables are fixed, while x, y are chosen arbitrarily from D the electronic journal of combinatorics (2000), #R29 Theorem The probability ofthe conditional ... help on numerical function maximization References [1] D Achlioptas and M Molloy, The analysis ofa list-coloring algorithms ona random graph,” in Proc 38th Annual Symposium on Foundations of...