Trace formulas for Schrödinger operators on star graphs

We derive trace formulas of the Buslaev–Faddeev type for quantum star graphs. One of the new ingredients is high energy asymptotics of the perturbation determinant

The spectral shift function and Levinson's theorem for quantum star graphs

We consider the Schr\"odinger operator on a star shaped graph with $n$ edges joined at a single vertex. We derive an expression for the trace of the difference of the perturbed and unperturbed resolvent in terms of a Wronskian. This leads to representations for the perturbation determinant and the spectral shift function, and to an analog of Levinson's formula

Multidisciplinary Approach for the Treatment of Horizontal Root-Fractured Maxillary Anterior Teeth

Dental trauma can lead to a wide range of injuries of which crown and root fractures are examples. Crown-root fractures often need complex treatment planning. This case report describes the use of MTA in the multidisciplinary management of a patient with a horizontally fractured central incisor and luxation in a different central incisor. A 42-year-old female patient presented within 1 h of receiving direct trauma to her maxillary area. Clinical examination revealed that the right and left maxillary central incisors presented mobility and sensitivity to percussion and palpation but no sensitivity to thermal stimulations. Occlusal displacement with extrusion in the left maxillary central incisor and luxation in the right maxillary central incisor was observed. Radiographic examination revealed horizontal root fracture at the apical third of the left maxillary central incisor. Root fracture in the right maxillary incisor was not observed. Endodontic and aesthetic restorative treatments were completed. MTA showed a good long-term outcome when used in root-fractured and luxated teeth. In addition, composite resin restoration provided satisfactory aesthetic results even after 15 months

Prognostic Value of ALBI Score and Lymphocyte-Associated Inflammation Markers in Advanced Hepatocellular Carcinoma: A Single Centre Retrospective Cross-Sectional Study

Aim: According to the information obtained from the World Health Organization database, the incidence of hepatocellular carcinoma (HCC) in Turkey increased by 17.78% between the years of 2018 and 2020. In this study, we investigated the prognostic value of albumin-bilirubin (ALBI) score and lymphocyte-associated inflammation markers on overall survival (OS) and progression-free survival (PFS) in advanced hepatocellular carcinoma. Materials and Methods: Data of 141 patients with advanced HCC were included in this study. ALBI score and lymphocyte-associated inflammatory marker were calculated. As a result, the prognostic significance of these tests for survival were evaluated. Results: The median age was 65 years (min: 26-max: 88). There were 58 (41.1%) hepatitis B virus (HBV) positive, 20 (14.2%) hepatitis C (HCV) positive and 63 (44.7%) patients with no history of hepatitis. Cut-off values of ALBI score and lymphocyte-associated inflammation markers were found by receiver operating characteristic analysis. ALBI (p<0.001), aspartate aminotransferase-to-lymphocyte ratio (ALRI) (p<0.001), prognostic nutritional index (PNI) (p=0.030), hemoglobin, albumin, lymphocyte, and platelet score (HALP) (p=0.003) scores were significantly associated with survival. In multivariate analysis, being ≥65 years old [hazard ratios (HR): 2.13; 95% confidence interval (CI): 1.44-3.17; p<0.001], ALRI≥30.79 (HR: 2.14; 95% CI: 1.20-3.82; p=0.009) predicted an increased risk of death and ALBI≥-2.54 (HR: 0.44, 95% CI: 0.29-0.69; p<0.001) predicted a decreased risk of death. Being ≥65 years old (HR: 174, 95% CI: 1.18-2.56; p=0.005) increased the risk of progression. Conclusion: This study supports the statistically significant association of ALBI score and lymphocyte-associated inflammation markers (ALRI, PNI, HALP) with OS and PFS in advanced HCC patients. It is thought that this study will contribute to the literature and clinical practice

Spektraltheorie von Quantengraphen

We study some spectral problems for quantum graphs with a potential. On the one hand we analyze the quantitative dependence of bound states of the Schrödingeroperator on the potential. On the other hand we generalize certain basic identities from the one-dimensional scattering theory to quantum graphs. The first paper is concerned with the study of the discrete negative spectra of quantum graphs. We use the method of trace identities (sum rules) to derive inequalities of Lieb-Thirring, Payne-Polya-Weinberger, and Yang types, among others. We show that the sharp constants of these inequalities and even their forms depend on the topology of the graph. Conditions are identified under which the sharp constants are the same as for the classical inequalities; in particular, this is true in the case of trees. We also provide some counterexamples where the classical form of the inequalities is false. The second paper deals with the scattering problem for the Schrödinger equation on the half-line with the Robin boundary condition at the origin. We derive an expression for the trace of the difference of the perturbed and unperturbed resolvent in terms of a Wronskian. This leads to a representation for the perturbation determinant and to trace identities of Buslaev-Faddeev type. In the third paper we generalize results from the half-line case to the full graph case. More precisely, we consider the Schrödinger problem on a star shaped graph with n edges joined at a single vertex. A trace formula is derived for the difference of the perturbed and unperturbed resolvent in terms of a Wronskian. This leads to representations for the perturbation determinant and the spectral shift function, and to an analog of Levinson's formula. Besides these three articles this thesis also contains some further results. The method of sum rules is applied to the modified Schrödinger operator with variable coefficients to obtain a Lieb-Thirring type inequality with optimal constant. Furthermore, Lieb-Thirring inequalities are studied for star shaped graphs by using variational arguments and the method of symmetry decomposition of the corresponding Hilbert space. In several cases this leads to optimal constants in the inequalities.Diese Arbeit beinhaltet Untersuchungen von Spektralproblemen für Quantengraphen mit Potential. Einerseits analysieren wir die quantitative Abhängigkeit der Eigenwerte des Schrödingeroperators vom Potential. Andererseits verallgemeinern wir gewisse elementare Identitäten von der eindimensionalen Streutheorie auf Quantengraphen. Im ersten Artikel wird das diskrete negative Spektrum von Quantengraphen analysiert. Dabei verwenden wir die Methode der Summenformeln, um Ungleichungen vom Lieb-Thirring-, Payne-Polya-Weinberger- und Yang- Typ herzuleiten. Wir zeigen, dass die scharfen Konstanten für diese Ungleichungen, und sogar ihre Gestalt, von der Topologie des Graphen abhängen. Es werden Bedingungen angegeben, unter welchen die scharfen Konstanten mit den scharfen Konstanten für den klassischen Fall des Ganzraumes übereinstimmen. Insbesondere ist dies der Fall für metrische Bäume. Desweiteren konstruieren wir Gegenbeispiele, für welche die klassischen Konstanten falsch sind. Der zweite Artikel befasst sich mit dem Streuproblem für den Schrödingeroperator auf der Halbachse mit Robin-Randbedingung. Wir leiten einen Ausdruck für die Spur der Differenz von der gestörten und der ungestörten Resolvente her, welche eine Wronski-Determinante beinhaltet. Dies führt zu einer Darstellung der Störungsdeterminante und zu Spurformeln vom Buslaev-Faddeev-Typ. Im dritten Artikel werden Resultate aus dem zweiten Artikel verallgemeinert auf sternförmige Quantengraphen, die aus n Halbachsen bestehen, welche in einem einzigen Knotenpunkt verbunden sind. Wir beweisen eine Spurformel für die Differenz der gestörten und der ungestörten Resolvente, welche eine Wronski-Determinante beinhaltet. Dies führt wiederum zu einer Darstellung der Störungsdeterminante und zu einem Analogon der Levinson-Formel. Über diese drei Hauptteile hinaus beinhaltet diese Arbeit mehrere weitere Resultate. Mit der Methode der Summenformeln leiten wir für den modifizierten Schrödingeroperator mit variablen Koeffizienten eine Lieb-Thirring-Ungleichung mit einer optimalen Konstante her. Desweiteren werden mit Hilfe von Variationsargumenten und der Symmetriezerlegung des entsprechenden Hilbertraumes Lieb-Thirring Ungleichungen für den sternförmigen Graphen bewiesen. In zahlreichen Fällen erhalten wir dabei die optimale Konstante

Determining the relation between self-care agency and self-esteem among patients with lung cancer

Sağlık Bilimleri Enstitüsü, Hemşirelik Esasları Ana Bilim DalıBu çalışma, Cumhuriyet Üniversitesi Araştırma ve Uygulama Hastanesi Radyasyon Onkolojisi Merkezinde tedavi gören akciğer kanserli hastaların öz-bakım gücü ve benlik saygısı ile aralarındaki ilişkinin belirlenmesi amacıyla tanımlayıcı olarak yapılmıştır.Çalışmanın örneklemini 01 Mart-31 Ağustos 2009 tarihleri arasında Cumhuriyet Üniversitesi Araştırma ve Uygulama Hastanesi Radyasyon Onkolojisi Merkezinde tedavi gören akciğer kanserli hastalar oluşturmuştur.Araştırma verileri Kişisel Bilgi Formu, Öz-Bakım Becerilerini Değerlendirme Formu, Coopersmith Benlik Saygısı Ölçeği (Coopersmith Self-Estem Inventory/ SEI), Öz-Bakım Gücü Ölçeği (Exercise of Self-Care Agency/ESCA) ile elde edilmiştir. Çalışmada elde edilen veriler bilgisayar ortamına aktarılarak uygun istatistiksel yöntemlerle değerlendirilmiştir. Verilerin değerlendirilmesinde iki ortalama arasındaki farkın önemlilik testi, Mann Whitney-U testi ve 3 veya daha fazla gruplar için Kruskall Wallis testleri ile değerlendirilmiştir.Araştırmamızda akciğer kanserli hastaların öz-bakım becerilerinin hastalıktan etkilenme durumu incelendiğinde, hastaların çoğunun beslenme alışkanlığının, uyku gereksiniminin, boşaltım gereksiniminin, aktivite ve egzersiz gereksiniminin, hobilerinin, kendilerine olan saygılarının ve problemlerle baş etme durumlarının %70'in üzerinde etkilendiği belirlenmiştir. Bireylerin inanç ve değerleri ile giyim şeklinin %50'nin altında etkilendiği saptanmıştır.Araştırmamızda akciğer kanseri olan hastaların öz-bakım gücü puan ortalaması 84.56±15.63 olup, benlik saygısı puan ortalaması ise 67.90±12.75'dir. Ölçeklerden elde edilecek toplam puan ranjının ESCA'da 35-142 ve SEI'de 0-100 olduğu göz önüne alındığında, genel olarak akciğer kanserli bireylerin öz-bakım gücü ve benlik saygısı düzeylerinin ortalamanın üstünde olduğu söylenebilir. Öz-bakım gücü ve benlik saygısı puan ortalamaları arasındaki korelasyon değerlendirildiğinde, zayıf ve negatif yönde, anlamlı bir ilişki olduğu saptanmıştır (r=-0.291, p=0.008). Bulunan korelasyon katsayısı istatistiksel olarak önemli olmasına rağmen bir ilişki ölçütü olarak zayıftır.Araştırmamızda 50 yaş ve üzeri grubun benlik saygısının gençlere göre daha az etkilendiği (p=0.007), kadınların öz-bakım gücünün erkeklerin ise benlik saygıları daha yüksek (p=0.048), tam gün çalışanların ise öz bakım gücünün daha yüksek olduğu (p=0.012) bulunmuştur. Bu değişkenlere göre öz-bakım gücü ve benlik saygısı düzeyleri arasında istatistiksel olarak anlamlı bir fark vardır.Çalışmamızda elde edilen bulgular doğrultusunda Onkoloji Merkezinde akciğer kanseri tanısı alan 30-49 yaş grubundaki kadın, çalışmayan bireylerin öz-bakım gücü ve benlik saygısı açısından öncelikle ele alınması, zayıfta olsa benlik saygısı ve öz-bakım gücü arasında ilişki olduğundan bireylerin benlik saygılarını artırmaya yönelik programlar, yaklaşımlar benimsenmesi, psikolojik, sosyal ve eğitim içerikli programların düzenlenmesi önerilebilir.Anahtar Kelimeler: Akciğer kanseri, benlik saygısı, öz-bakım gücü, öz-bakım becerileri, onkoloji hemşireliği.This study has been carried out to determine the relation between self-care agency and self-esteem among patients with lung cancer at the Radiation Oncology Centre of Cumhuriyet University Research and Application Hospital.The sample of the study are made up of patients with lung cancer treated between March the 1st and August the 31st at the Radiation Oncology Centre of Cumhuriyet University Research and Application Hospital.The research data was gained through Individual Knowledge Form, Self-Care Skill Evaluation Form, Coopersmith Self-Esteem Scale ( Coopersmith Self-Esteem Inventory SEI), and Self-Care Agency Scale (Exercise of Self- Care Agency/ESCA). The data gained in the research was evaluated by appropriate statistical methods on computer environment. The data was evaluated by the importance test of two average difference, Mann Whitney?U test and the Kruskall Wallis test for three or more groups.In the research when patients with lung cancer were examined according to self-care skills affecting their disease, most of the patients? nutritional habit, sleep requirement, discharge requirement, walking and activities, hobies, self-esteem and competing with problems were affected more than 70%. Individuals? faith and values and the dressing styles were affected below 50%.The mean average of self-care agency of patients with lung cancer was 84.56±15.63 and the mean average of self-esteem was 67.90±12.75. When the total score ranj gained from the scales and evaluated according to 35-142 at ESCA and 0-100 at SEI , it may be said that the levels of self-care agency and self-esteem were above the average. When the correlation between the self-care agency and self-esteem was evaluated, a weak and negative meaningful relation (r=-0.291, p= 0.008) was determined. While the correlation was statistically important, the relation was weak.In the research self-esteem of patients with 50 years and above were affected less than younger ones (p=0.007), women?s self-care agency and men?s self-esteem were higher (p=0.0048), full-time workers self-care agency was higher (p=0.012). According to these variants there is a meaningful difference statistically between the levels of self-care agency and self-esteem.According to the findings obtained from our research it may be advised that programmes increasing self-esteem, developing approaches, and organising psychological, social and educational programmes may be appropriate for women at the age group of 30-49 and non-working individuals at the Oncology Centre.Key Words: Lung cancer, self-esteem, self-care agency, self-care skills, oncology nursin

IFRS 16 leases standard, its impactsi and an application

ÖZET: Günümüz küresel dünyasında, yeni teknolojilere ayak uydurmak, şirket kaynaklarını yatırımlara etkin bir şekilde kanalize etmek ve finansman sağlamak amaçları ile şirketler tarafından kiralama işlemleri sıklıkla kullanılmaktadır. Uygulamada en sık kullanılan kiralama çeşitleri finansal kiralama ve operasyonel kiralama olarak değerlendirilmektedir. Bu iki kiralamaya ilişkin olarak her ülkenin yerel mevzuatından hariç olarak küresel düzeyde geçerli olan uluslararası finansal raporlama standartlarında da düzenlemeler bulunmaktadır. Bu düzenlemeler, 01 Ocak 2019 tarihine kadar UMS 17 standardı ile bu tarihten itibaren ise, ilgili tarihten itibaren uygulamada geçerli olacak şekilde yürürlüğe giren UFRS 16 standardı ile yapılmaktadır. UFRS 16 standardı, özellikle kiralama sözleşmelerinde kiracı (müstecir) sıfatı ile yer alan şirketler açısından önemli yenilikleri ve düzenlemeleri beraberinde getirmiştir. En temel yenilik, UMS 17 standardı kapsamında bilanço dışı olarak tasnif edilen operasyonel kiralama kapsamında edinilen varlıkların bilanço içi olarak tasnif edilmesidir. Bu yenilik ile birlikte, şirketlerin finansal tablolarının varlıklar ve yükümlülükler kalemlerinde önemli farklılıklar oluşması beklenmektedir. Bu beklentiden yola çıkarak yürütülen bu tez çalışması; UFRS 16 standardının uygulanmasının şirket finansal tabloları üzerindeki etkisini değerlendirmeye yöneliktir. UFRS 16 standardının etkisinin belirlenmesine yönelik olarak Mart 2019’da BIST 100 endeksinde yer alan şirketler içerisinde seçilen 52 şirkete yönelik yürütülen analiz kapsamında, ilgili şirketlerin yayımlanan finansal tabloları ve faaliyet raporları çerçevesinde, UFRS 16 uygulamasının şirket varlıkları ve yükümlülükleri ile finansal tabloları üzerinde önemli etkileri olduğu sonucuna varılmıştır.ABSTRACT: In today's global world, leasing operations are frequently used by companies to keep up with new technologies, effectively channel company resources into investments and provide financing. In practice, the most frequently used leasing types are considered as financial leasing and operating leasing. Regarding these two leases, there are also regulations in international financial reporting standards that are valid at the global level, excluding the local legislation of each country. These arrangements are made with the IAS 17 standard until January 01, 2019 and with the IFRS 16 standard, which has been put into effect to be effective in practice from that date onwards. IFRS 16 standard has brought important innovations and regulations especially for companies that take part in the title of tenant in rental contracts. The main innovation is the classification of assets acquired within the scope of operating lease classified as off-balance sheet within the scope of IAS 17 standard. With this innovation, significant differences are expected in the assets and liabilities of the companies' financial statements. This thesis study based on this expectation; It aims to evaluate the impact of the application of IFRS 16 standard on the financial statements of the company. Within the scope of the analysis conducted for 52 companies selected among the companies listed in the BIST 100 index in March 2019 to determine the impact of IFRS 16 standard, IFRS 16 application has significant effects on the company's assets and liabilities and financial statements within the framework of the published financial statements and annual reports. was concluded