Bounds for the faber coefficients of certain classes of functions analytic in an ellipse

Let Omega be a bounded, simply connected domain in C with 0 is an element of Omega and aOmega analytic. Let S(Omega) denote the class of functions F(z) which are analytic and univalent in Omega with F(0) = 0 and F'(0) = 1. Let {Phi(n)(z)} infinity n=0 be the Faber polynomials associated with Omega. If F(z) is an element of S(Omega), then F(z) can be expanded in a series of the form where r > 1. In this paper we obtain sharp bounds for the Faber coefficients A(0), A(1) and A(2) of functions F(z) in S(E-r) and in certain related classes.Publisher's Versio

Restoration of The Bedesten in Trabzon

Trabzon kenti, Asya’ya uzanan üçüncü kervan yolunun başlangıcında bulunması nedeniyle önemli ticaret yapılarına sahiptir. Trabzon Bedesteni de bu yapılardan biridir. Değerli ticaret mallarının alınıp satıldığı, yangın ve yağmalardan korunduğu Trabzon Bedesteni’nin, 15. yüzyıl sonlarında Osmanlılar tarafından yapıldığı görüşü ağırlık kazanmaktadır. Zamanla özgün işlevini kaybeden bedesten kullanım dışı kalmasıyla birlikte yapısal bozulmalara uğramış ve yıkılmaya yüz tutmuştur. Doksanlı yılların sonlarına gelindiğinde Trabzon’un önemli kültür varlığı olarak korunması gereken yapının farklı bir işlevle yeniden kullanılması gündeme gelmiştir. Bu amaçla Trabzon İl Özel İdare Müdürlüğü mülkiyetindeki yapı için, Karadeniz Teknik Üniversitesi ve Valilik işbirliği ile makalenin yazarlarının da içinde bulunduğu bir çalışma grubu tarafından hazırlanan restorasyon projesi, Trabzon Kültür ve Tabiat Varlıklarını Koruma Kurulu tarafından 29.01.1999 gün 3373 sayılı karar ile onaylanmıştır. Restorasyon projesinin uygulanmasıyla bedesten, Trabzon’un sosyal ve ticari yaşamına yeniden kazandırılmıştır. Yapılan çalışma, Trabzon Bedesteni’nin tarihsel geçmişini ve yapısal özelliklerini tanıtarak, rölöve çalışmaları ile restorasyon aşamasında gerçekleştirilen yeniden yapım ve iyileştirme uygulamalarını içermektedir.Trabzon has had important commercial buildings since it has taken place at the beginning of the third caravan route through Asia. The Bedesten in Trabzon is one of these constructions. It is commonly thought that the Bedesten as the central building of the commercial part of the town was built by Ottomans in late 15th century in Trabzon. The Bedesten, which lost its original function over time, had structural distortions as being out of use and it tended to collapse. At the end of the 90s the idea of re-use of this structure with a different function which has to be protected as a major cultural asset of the city has been come up. For this purpose, in collaboration with the Governorship of Trabzon and Karadeniz Technical University, it was regained to the social and trading life of Trabzon by carrying out a restoration project prepared by a working group that includes the authors of this article. This study comprises surveying practices, reconstruction and rehabilitation applications carried out in restoration phase by introducing historical background and structural properties of the Bedesten in Trabzon

Measurement of the Permanent Electric Dipole Moment of the 129^{129}Xe Atom

We report on a new measurement of the CP-violating permanent Electric Dipole Moment (EDM) of the neutral $^{129}$Xe atom. Our experimental approach is based on the detection of the free precession of co-located nuclear spin-polarized $^3$He and $^{129}$Xe samples. The EDM measurement sensitivity benefits strongly from long spin coherence times of several hours achieved in diluted gases and homogeneous weak magnetic fields of about 400~nT. A finite EDM is indicated by a change in the precession frequency, as an electric field is periodically reversed with respect to the magnetic guiding field. Our result, $\left(-4.7\pm6.4\right)\cdot 10^{-28}$ ecm, is consistent with zero and is used to place a new upper limit on the $^{129}$Xe EDM: $|d_\text{Xe}|<1.5 \cdot 10^{-27}$ ecm (95% C.L.). We also discuss the implications of this result for various CP-violating observables as they relate to theories of physics beyond the standard model

Effects of Glycol on Leachability and Efficacy of Boron Wood Preservatives

Although boron has many advantages as a wood preservative, this chemical performs poorly in leaching exposures. In this study, we investigated the potential for decreasing the leachability of boron preservatives with polyethylene glycol (PEG). Southern pine (Pinus spp.) test samples impregnated with combinations of sodium borate or boric acid and PEG were subjected to both leaching and decay tests. Samples treated sequentially with sodium borate or boric acid and then with PEG-400 or PEG-600 showed a significantly increased resistance to boron leaching. However, decay tests indicated that blocks treated with sodium borate or boric acid and PEG experienced slightly higher weight losses at nearly all retention levels, possibly as a result of PEG depletion. Thus, although the results suggest that bulking agents may enhance the resistance of boron to leaching, the enhanced leach resistance may be a temporary effect

Determination of cyclic soil parameters for offshore foundation design from an existing data base

publishedVersio

The solution structure of the N-terminal domain of human vitronectin: Proximal sites that regulate fibrinolysis and cell migration

The three-dimensional structure of an N-terminal fragment comprising the first 51 amino acids from human plasma vitronectin, the somatomedin B (SMB) domain, has been determined by two-dimensional NMR approaches. An average structure was calculated, representing the overall fold from a set of 20 minimized structures. The core residues (18-41) overlay with a root mean square deviation of 2.29 ± 0.62 Å. The N- and C-terminal segments exhibit higher root mean square deviations, reflecting more flexibility in solution and/or fewer long-range NOEs for these regions. Residues 26-30 form a unique single-turn α-helix, the locus where plasminogen activator inhibitor type-1 (PAI-1) is bound. This structure of this helix is highly homologous with that of a recombinant SMB domain solved in a co-crystal with PAI-1 (Zhou, A., Huntington, J. A., Pannu, N. S., Carrell, R. W., and Read, R. J. (2003) Nat. Struct. Biol. 10, 541-544), although the remainder of the structure differs. Significantly, the pattern of disulfide cross-links observed in this material isolated from human plasma is altogether different from the disulfides proposed for recombinant forms. The NMR structure reveals the relative orientation of binding sites for cell surface receptors, including an integrin-binding site at residues 45-47, which was disordered and did not diffract in the co-crystal, and a site for the urokinase receptor, which overlaps with the PAI-1-binding site

Deprem Yükleri Altında Kalıcı Şev Deplasmanlarının Tahmini

Dinamik yükleme altındaki şevlerin stabilitesi genel olarak yarı-statik analiz yöntemi kullanılarak incelenir. Bu yöntem, belirli bir güvenlik katsayısını dikkate almakla birlikte, oluşan kalıcı deplasmanlar hakkında bir bilgi vermemektedir. Newmark, güçlü deprem hareketlerine maruz kalan şevlerin kalıcı deplasmanlarının tahmini için bir analiz yöntemi önermiştir. Bu çalışmada, saha şartları ve deprem özellikleri dikkate alınarak şevlerin davranışı dinamik analizlerle irdelenmiştir. Bu analizlerde, çeşitli gerçekçi şev modelleri seçilerek sonlu elemanlar yöntemi kullanılmıştır. İlk olarak, şevlerdeki potansiyel kayma yüzeyleri, basitleştirilmiş Bishop metoduyla belirlenmiştir. Daha sonra, kayma yüzeylerinin kritik ivmeleri ve maksimum ortalama etkin ivmeleri bulunarak, Newmark yöntemiyle şevlerin kalıcı deplasmanları hesaplanmıştır. Son olarak, deprem kaynaklı kalıcı şev deplasmanlarının ön tahmini için basit bir grafik ve formülasyon önerilmiştir

Dynamic Stress and Displacement in an Elastic Half-Space with a Cylindrical Cavity

The dynamic response of an elastic half-space with a cylindrical cavity in a circular cross-section is analyzed. The cavity is assumed to be infinitely long, lying parallel to the plane-free surface of the medium at a finite depth and subjected to a uniformly distributed harmonic pressure at the inner surface. The problem considered is one of plain strain, in which it is assumed that the geometry and material properties of the medium and the forcing function are constant along the axis of the cavity. The equations of motion are reduced to two wave equations in polar coordinates with the use of Helmholtz potentials. The method of wave function expansion is used to construct the displacement fields in terms of the potentials. The boundary conditions at the surface of the cavity are satisfied exactly, and they are satisfied approximately at the free surface of the half-space. Thus, the unknown coefficients in the expansions are obtained from the treatment of boundary conditions using a collocation least-square scheme. Numerical results, which are presented in the figures, show that the wave number (i.e., the frequency) and depth of the cavity significantly affect the displacement and stress

Orientation of heparin-binding sites in native vitronectin. Analyses of ligand binding to the primary glycosaminoglycan-binding site indicate that putative secondary sites are not functional

A primary heparin-binding site in vitronectin has been localized to a cluster of cationic residues near the C terminus of the protein. More recently, secondary binding sites have been proposed. In order to investigate whether the binding site originally identified on vitronectin functions as an exclusive and independent heparin-hinding domain, solution binding methods have been used in combination with MR and recombinant approaches to evaluate ligand binding to the primary site. Evaluation of the ionic strength dependence of heparin binding to vitronectin according to classical linkage theory indicates that a single ionic bond is prominent. It had been previously shown that chemical modification of vitronectin using an arginine- reactive probe results in a significant reduction in heparin binding (Gibson, A., Baburaj, K., Day, D. E., Verhamme, I., Shore, J. D., and Peterson, C. B. (1997) J. Biol. Chem. 272, 5112-5121). The label has now been localized to arginine residues within the cyanogen bromide fragment-(341-380) that contains the primary heparin-binding site on vitronectin. One- and two- dimensional NMR on model peptides based on this primary heparin-binding site indicate that an arginine residue participates in the ionic interaction and that other nonionic interactions may be involved in forming a complex with heparin. A recombinant polypeptide corresponding to the C-terminal 129 amino acids of vitronectin exhibits heparin-binding affinity that is comparable to that of full-length vitronectin and is equally effective at neutralizing heparin anticoagulant activity. Results from this broad experimental approach argue that the behavior of the primary site is sufficient to account for the heparin binding activity of vitronectin and support an exposed orientation for the site in the structure of the native protein