Model Order Reduction for Nonlinear Schr\"odinger Equation

We apply the proper orthogonal decomposition (POD) to the nonlinear Schr\"odinger (NLS) equation to derive a reduced order model. The NLS equation is discretized in space by finite differences and is solved in time by structure preserving symplectic mid-point rule. A priori error estimates are derived for the POD reduced dynamical system. Numerical results for one and two dimensional NLS equations, coupled NLS equation with soliton solutions show that the low-dimensional approximations obtained by POD reproduce very well the characteristic dynamics of the system, such as preservation of energy and the solutions

Eğitim Kurumu Kaynakları, Aile Özellikleri ve Öğrenci Başarısı: Türkiye’den Ortaöğretim Kurumları Öğrenci Seçme Sınavı Örneği

The paper examines the determinants of student achievement on the secondary school entrance exam (SSEE). The data for this project were collected through a survey of 810 primaryschool graduates. The empirical work is carried out by forming a model on student achievement and three categories of school, student, and family characteristics from primary-school graduates who were successful in SSEE.Bu çalışmanın amacı, Ortaöğretim Kurumları Öğrenci Seçme Sınavı’na (OKS) katılan öğrencilerin başarısının hangi faktörlerden kaynaklandığını araştırmaktır. Veriler 810 ilkeğitim mezunuyla yapılan anket çalışması sonucu elde edilmiştir. Bu bilgilerden yararlanarak OKS’de yüksek puan alan ilkeğitim kurumu mezunlarının başarısı ile eğitim kurumu, öğrencinin ve ailenin nitelikleri arasındaki ilişki ortaya konulmaya çalışılmıştır

Radiological features of rare non-odontogenic lesions of the jaws

Background: The jaws can be affected by several lesions that manifest in the oral cavity, but little is known about non-odontogenic benign and malignant lesions and their radiological findings. Introduction: Our aim was to discuss the imaging findings of non-odontogenic jaw lesions to help the surgeon in the diagnosis and formulating a differential diagnosis for this vast spectrum of jaw lesions with overlapping clinical and imaging appearances. Methods: CT and MR images of the mandible, maxillofacial region, and neck were retrieved from the archive of the Radiology Department of Pamukkale University for the duration between 2012-2023 and assessed. Results: A total of 8125 CT and MR images were retrospectively analyzed. The mean age of the patients was 39.5 years in females and 43.2 in males, with a range varying from 15 to 72 years. Histopathologically approved benign and malignant non-odontogenic lesions were detected in only 19 patients out of 8125 images (0.23%). Osteomyelitis and abscess were the most common (n=3; 0.03%), followed by two cases (n=2; 0.02%) of each fibrous dysplasia, hemangioma, osteosarcoma, squamous cell carcinoma, and multiple myeloma, and one case (n=1; 0.01%) of each ossifying fibroma, osteoma, lymphoma, metastasis, and solitary bone cyst. Conclusion: Although non-odontogenic benign and malignant lesions of the jaw are rare, awareness of the radiological features of these lesions plays an important role in their diagnosis and management.Radiology Department of Pamukkale University Medical Faculty Hospita

BRIDGE project: information and digital literacy at primary school.

This poster describes the BRIDGE project ("Information and Digital Literacy at School: A Bridge to Support Critical Thinking and Equality Values for Primary Education Using Children's Literature and Transmedia"), which aims to review current legislation, curricula and practices for promoting information and digital literacy in six countries: Spain, Turkey, Italy, Finland, Greece and the United Kingdom

School Resources, Family Characteristics and Student Performance: Evidence from Secondary School Entrance Exam in Turkey

The paper examines the determinants of student achievement on the secondary school entrance exam (SSEE). The data for this project were collected through a survey of 810 primary-school graduates. The empirical work is carried out by forming a model on student achievement and three categories of school, student, and family characteristics from primary-school graduates who were successful in SSEE

Ion Concentrations And Sources Of Sequential Sampling Of Wet Deposition In Istanbul, Turkey

This study presents the relationships between ion concentrations and sources of ions in the precipitation events which happened on a) September the 08th, 2007 b) November the 10th, 2007 and c) December the 05th, 2007. Fortyfour sequential rain samples were collected in three rain events that were sampled in Istanbul-Turkey making use of a sequential rain sampler. Concentration of the main cations (K+, Ca2+, Na+, and Mg2+) and main anions (Cl-, SO42-, and NO3-) were analyzed. The ratio of the mean Ca2+ (0.85) nonsea salt concentration to the mean total concentration led to the conclusion that most of the Ca2+ came from soil. This ratio for SO42ranged between 0.49 and 0.98, indicates a possible conclusion that the domestic heating and industrial activities were the main source of this io

DESIGN AND MANUFACTURE OF AN AUTOMATIC SEQUENTIAL RAIN SAMPLER: TESTING WITH SUB-EVENTS

8th International Scientific Conference on Modern Management of Mine Producing, Geology and Environmental Protection -- JUN 16-20, 2008 -- Sofia, BULGARIA --The preliminary goal of this study is to design, construct and test an automatic sequential precipitation sampling instrument. Testing includes collection of sequential precipitation samples, analyzing them and trying to find the sources of environmental pollution. Proposed sequential sub-event sampler is composed of two parts; mechanic and electronic hardware. Mechanical part includes a stepped 100 ml sampler cups on it, and a metallic body. Electronic part is composed of digital and analog sensors, various electronic materials and a computer as the main controller of the system. Commands generated by the computer or received from the internet, control the system, and sub-event sampling period and volume can be modified. Besides the volume and time controlled sampling, intelligent control and sampling is possible by developing adequate algorithms. Since the system consists of automatic sensors that can be controlled by the computer, anthropogenic errors in sampling are expected to be kept at minimum. The proposed instrument is open to development and additions can easily be made. The developed equipment was used to collect samples for one sub-event took place on 8(th) of September 2007 and the samples were analyzed for pH, Ca2+, Mg2+, K+, Na+, to obtain the temporal variation of the chemical composition during the precipitation event.TUBITAKTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [105Y313]This work is financially supported by TUBITAK with projects 105Y313.WOS:0002757954000812-s2.0-8488323173