... variables.13 the type ofthe sum is not greater than the larger ofthe types ofthe two summands. In addition,if one ofthe two functions is of larger growth than the other, then the sum has the same ... in (−1, 0), then thezerosof h(z) also lie in K.(iii) If thezerosof f(z) lie in (−a, a) and thezerosof g(z) lie in (−b, 0) (or in (0, b)), wherea, b > 0, then thezerosof h(z) also ... AND THEDISTRIBUTION OF ZEROSOFENTIRE FUNCTIONS A DISSERTATION SUBMITTED TO THE GRADUATE DIVISION OF THE UNIVERSITY OF HAWAI‘I AT M¯ANOA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE...
... significantly reduced bydysfunctions ofthe SH2 and ⁄ or SH3 domains ofthe protein. Furthermore,we found that dysfunctions of SH2 and ⁄ or SH3 domains reduce auto-phosphorylation ofthe kinase activation ... results inblocking ofthe binding ofthe SH2 domain to the substrate and thereby preventing interaction of the substrate with the kinase domain. For active n-Srcin which the C-tail tyrosine ... auto-phosphor-ylation by modulating the kinase activity of the enzyme.To determine the roles ofthe SH3 and ⁄ or SH2domains in Src regulation of NMDAR phosphoryla-tion, the protein fragment corresponding...
... divisors of n, Ω(n) is the number of prime power divisors of n, π(x) is the number of primes ≤ x, τ(n) is the number of divisors of n. P(s, t) is the set of positive integers composed of prime ... author enjoyed the hospitality ofthe Institute of Mathematics and Informatics, Bulgarian Academy of Sciences. Finally, the author acknowledges the referee for a thorough reading ofthe paper and ... is the set of square-free members of P (s, t).We list a few estimates from prime number theory and sieve theory. The first is the Brun-Titchmarsh inequality and the second is a consequence of the Prime...
... rates as(i) the ratio ofthe number of banks headquarteredin a state that failed to the total number of banksheadquartered in that state as of June 30, 2006;and (ii) the ratio ofthe deposits ... captures the influenceon a state’s failure rate ofthe deposits in branches of banks that are headquartered in another state.Figure 6 shows thedistributionofthe failurerate (ratio of failed ... deposits, the failures of 2007-10 approach the failures ofthe 1980s andearly 1990s (Figures 1 and 2).2 The bank failures ofthe 1980s and early 1990swere concentrated in regions ofthe country...
... the price ofthe lth category of labor services and P'i is itsrelative price. The relative price is the ratio ofthe price ofthe lth cate-gory of labor services to the average price of ... holdingmany other things constant.8 Also, rational behavior on the part of employers would lead to the allocation ofthe labor force in such a waythat the value ofthe marginal product ofthe different ... x4 is the logarithm ofthe ith input per unit of output, P, is the logarithm ofthe "real" price ofthe jth input, mi's are the respective price• elasticities= 0),v5 is the share...
... these 21 consonants.On the other hand Regime 2 of Figure 3(a) as wellas Regime 1 of Figure 3(b) comprises ofthe rest of the consonants. The point marked as x in both the figures indicates the ... explain the negative slope ofthe first regime.We look forward to do the same as a part of our fu-ture work. Rather, here we try to investigate the ef-fect ofthe exact distributionofthe language ... otherwise. Γ(·) is the Euler’sgamma function.Figure 2: Degree distributionof PlaNet for the setVL. The figure in the inner box is a magnifiedversion of a portion ofthe original figure.the...
... care need, there is little association between the family income ofthe child and the quality to which they have access. In terms ofthe second part ofthe explanation for the lack of gradient, ... visits. The demographic characteristics ofthe practice explain a significant amount ofthe variation in GP staffing ofthe practice and the number of night visits, but not of other measures of ... measure ofthe health and SES ofthe younger female population ofthe practice. Most of these measures are taken early during pregnancy and refer to the health, housing and SES ofthe mother prior...
... some the stabilities ofthedistribution function of η in the followingsense: the small changes in thedistribution function of ξkonly lead to the small changes in the distribution function of ... distribution function of η.In the paper, we investigate thedistribution function of η when we have the small changes of the distributionof ν.1. IntroductionLet us consider the random variable (r.v):η ... function of ξk.In [1] and [2], we gave some the stabilities of Ψ(x) in the following sence: the small changesin thedistribution function F (x) only lead to the small changes in the distribution...
... because the number of fledglings produced in a given year is a function ofthe number of males in the population. The number of nest attempts is a function ofthe number of available males and the ... broods. The actual number of potential broods does not change in a given year regardless ofthe number of nest attempts because it is related to the number of males in the population. The number of ... 2009, and the number of fledglings, the fledging success rate, and the number of fledgling per male all decreased by nearly half. The number of eggs laid was twice the number laid in 2009, the highest...
... depredations of adult plovers at these sites. There has also been documented evidence of Great Horned Owls and Northern Harriers at several of these sites, and we recommend that these owls and ... considered fledged when they were observed 28 days after hatching. We estimated the number of Snowy Plovers on the Oregon coast during the summer of 2008 by determining the number of uniquely color-banded ... From 2004 to 2006, there was a steady increase in the number of plovers present and the number of plovers breeding along the Oregon coast (Table 1). In 2007, the total number of plovers present...
... <ψ(Q)/Q.Proof of Theorem 6 modulo Theorem 7. This is trivial. Given the hy-potheses of Theorem 7, the hypotheses of Theorem 6 are clearly satisfied. Fixan interval I ⊆ I0. By Theorem 7, there exist ... equivalent.2. Proof ofthe rational quadric statements2.1. Proof of Theorem 2. The divergence part ofthe theorem is a trivialconsequence of Corollary 1 to Theorem 1. To establish the convergence ... law. The divergence part ofthe above statement constitutes the main substance of the theorem. The convergence part is a simple consequence ofthe Borel-Cantellilemma from probability theory....
... data.There is a one way flow of data from the tracker consisting of frame by frame updatesto the position in the image plane ofthe centroid of uniquely labelled objects. The detec-tion of atypical ... number of train-ing feature vectors and the point density ofthe prototypes within the feature space willapproximate the pdf ofthe feature vectors [6]. The model is thus more accurate in areas of ... with slow decay rates to theoutputof thesenodes, atrace of the trajectory will be formed in the activation ofthe leakyneurons. By connecting leakyneurons to the output of every node in a trained...
... are that the modal and cut-off structure ofthe distribu-tions are functionsofthe structure ofthe Rus-sian language, while variations within these structures are characteristic of individual ... with words. The length distributionofthe latter subsequences has the desirable property, not shared by the others, of being concentrated at relatively low values of length, and of having no ... samples were compiled. One of these, the dis-tribution of word length, is presented here as Fig. 1. The theoretical interest of this distribution arises from the possibility of using it as a basis...
... situated. The details ofthe argument leading to (BMT2) and (BMT3) are similar to the proof of Lemma 8.4, and so we leave them to the reader. This finishes the proof ofthe bimeromorphic triangulation theorem.16 ... in the algebraic de Rham theory of Grothendieck, where the formal completionˆO of the algebra of regular functions on a complex algebraic variety X dependson the choice of an embedding of ... be the so-called t-neighborhood ofthe diagonal Δk(X).In the following we want to show how the computation ofthe Hochschildhomology of A can be essentially reduced to the computation of the...
... opera-tion for the duration ofthe mission, and the lines required high maintenance and the constant supervision of an engineer unit that was in support ofthe fuel mission.9 In summary, the HRS ... Because of these positive attributes, today the United States has the densest network of petroleum pipelines in the world.Like the commercial sector, the U.S. Army has had a history of investing ... two reasons. First, the decision where to put the next acquisition dollar was one ofthe major issues facing the sponsor of this research. Second, the sustainment cost ofthe various pipeline...