On Discontinuous Dirac Operator with Eigenparameter Dependent Boundary and Two Transmission Conditions

In this paper, we consider a discontinuous Dirac operator with eigenparameter dependent both boundary and two transmission conditions. We introduce a suitable Hilbert space formulation and get some properties of eigenvalues and eigenfunctions. Then, we investigate Green's function, resolvent operator and some uniqueness theorems by using Weyl function and some spectral data

High performance hardware architecture for half-pixel accurate H.264 motion estimation

In this paper, we present a high performance and low cost hardware architecture for real-time implementation of half-pel accurate variable block size motion estimation for H.264 / MPEG4 Part 10 video coding. The proposed architecture includes a novel half-pel interpolation hardware that is shared by novel half-pel search hardwares designed for each block size. This half-pel accurate motion estimation hardware is designed to be used as part of a complete H.264 video coding system for portable applications. The proposed architecture is implemented in Verilog HDL. The Verilog RTL code is verified to work at 85 MHz in a Xilinx Virtex II FPGA. The FPGA implementation can process 30 HDTV frames (1280x720) per second

Canonical Forms for Families of Anti-commuting Diagonalizable Linear Operators

It is well known that a commuting family of diagonalizable linear operators on a finite dimensional vector space is simultaneously diagonalizable. In this paper, we consider a family A of anti-commuting (complex) linear operators on a finite dimensional vector space V. We prove that if the family is diagonalizable over the complex numbers, then V has an A-invariant direct sum decomposition into subspaces V_a such that the restriction of the family A to V_a is a representation of a Clifford algebra. Thus unlike the families of commuting diagonalizable operators, diagonalizable anti-commuting families cannot be simultaneously digonalized, but on each subspace, they can be put simultaneously to (non-unique) canonical forms. The construction of canonical forms for complex representations is straightforward, while for the real representations it follows from the results of [Bilge A.H., \c{S}. Ko\c{c}ak, S. U\u{g}uz, Canonical Bases for real representations of Clifford algebras, Linear Algebra and its Applications 419 (2006) 417-439. 3].Comment: This paper has been submitted to Linear Algebra and Its Application

Öğretmenlerin Radyasyon Kavramına Karşı Tutum ve Bilgilerinin Değerlendirilmesi

The purpose of this study is to try to determine the attitude and knowledge levels of teachers regarding radiation. The sample of the research consists of 274 teachers from various branches working in primary and secondary schools in a city with a population of 250 000. Personal data survey and the scale of attitude towards the radiation concept prepared by Torun, Yalçın, and Altun Yalçın (2011) were used in order to collect data. The data obtained were transferred to the SPSS 15 package program and analyzed. Evaluation was done with respect to gender of teachers in the sample, the faculty they graduated from, the institution they work at and the school level they work at and independent t-test was used to compare their opinions obtained. The One-way variance analysis (ANOVA) was used in order to determine whether there are any differences between group variables related to the education branches of teachers in the sample, and the Kruskal-Wallis test was used to determine if there are differences between group variables related to the region of the university of graduation and the educational status of teachers. According to the results of the study, no significant differences were found among teachers in terms of the variables of the level of education, the region of the university of graduation, the faculty of graduation, the institution of employment and the level of education, while significant differences were found in variables the gender of teachers and their education branch.Bu çalışmanın amacı, öğretmenlerin radyasyon kavramına karşı tutum ve bilgi düzeyleri belirlemeye çalışmaktır. Araştırmanın örneklemini İç Anadolu’nun batısında yaklaşık ikiyüzellibin nüfuslu bir ilde ilkokul ve ortaokullarda farklı branşlarda çalışan 274 öğretmen oluşturmuştur. Çalışmada verilerin toplanması amacıyla kişisel bilgi anketi ve daha önce Torun, Yalçin ve Altun Yalçin (2011) tarafından geliştirilen radyasyon kavramına karşı tutum ölçeği kullanılmıştır. Elde edilen veriler SPSS 15 paket programına aktarılarak analiz edilmiştir. Örneklemdeki öğretmenlerin cinsiyet durumlarına, mezun oldukları fakülte durumlarına, çalışılan kurum durumuna ve çalışılan okul kademesi durumlarına göre değerlendirme yapılıp elde edilen görüşlerinin karşılaştırılmasında bağımsız t-testi uygulanmıştır. Örneklemdeki öğretmenlerin eğitim verdikleri branş ile ilgili grup değişkenleri arasında farklılık olup olmadığını belirlemek için tek yönlü varyans analizi (ANOVA) kullanılmış, mezun olunan üniversitenin bulunduğu bölge ve öğretmenlerin eğitim durumlarıyla ilgili grup değişkenleri arasında farklılık olup olmadığını belirlemek için ise Kruskal-Wallis testi kullanılmıştır. Araştırmadan elde edilen sonuçlara göre öğretmenler arasında eğitim düzeyi, mezun olunan üniversitenin bulunduğu bölge, mezun olunan fakülte, çalışılan kurum, eğitim düzeyi değişkenlerine göre anlamlı bir fark bulunmazken, öğretmenlerin cinsiyetleri ve eğitim verdikleri branş değişkenlerine göre anlamlı fark bulunmuştur