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A study on recurrence relations for binary sequence matrices
Omur deveci,A.G. Shannon 장전수학회 2023 Advanced Studies in Contemporary Mathematics Vol.33 No.1
A study on recurrence relations for binary sequence matrices
Omur Ocal,Atilla Bir 제어로봇시스템학회 2008 제어로봇시스템학회 국제학술대회 논문집 Vol.2008 No.10
Coefficient Diagram Method (CDM) is one of the most important controller design method used in control engineering. It is now successfully and commonly used. By applying CDM, it is possible to obtain systems which are stable and robust with relative small settling time without overshoot. All these capabilities of the system are regulated by changing some adjusted parameters in CDM according to design targets. A Model Reference Adaptive System (MRAS) is an adaptive system that changes the control parameters according to a certain system model. The control system follows the model system output. If stable model systems (with poles far away from the origin of s-domain axes) are chosen, good system responses are obtained. Although, the investigated control and system output signals may have some undesired overshoots; it is still possible that the output system can follow the output signal of the model reference system. In this paper, we describe a new hybrid controller that consists of a combination of the MRAS and CDM. This hybrid structure is called an MRAS-CDM controller. First, the CDM and then MRAS-CDM structure are briefly introduced and then as a real-time application a process control application investigated. The benefits of the MRAS-CDM are obvious. It is shown that the system outputs which are obtained with MRAS-CDM are much better for the poles near the origin as well as for the poles which are far away in the negative s-plane.
Aras Omur,Enver Baydir,Bugra Akman 한국화학공학회 2022 Korean Journal of Chemical Engineering Vol.39 No.3
In the study, aluminum plates were first anodized and then coated with ZnO by spray-pyrolysis method. By modification with long chain fatty acid, these surfaces demonstrate superior hydrophobicity and durability. After optimizing the anodizing time for each fatty acid, several runs were conducted by varying concentration and spray solution quantity. Comparison was made by optimizing the process parameters in which each acid showed maximum hydrophobicity. Anodized, spray coated and modified surfaces were characterized by FT-IR, XRD, SEM and topography analysis. The chemical and mechanical strength of the surfaces were explored under various extreme conditions. The highest contact angle of 164o was obtained by coating 10 minutes anodized surface with 0.4M and 15 ml ZnNO3 solution and modifying it with stearic acid. In the performed tests, it has been observed that this surface is much more durable than surfaces modified with other fatty acids.
Naoki Omur,Hiroto Kakita,Yusuke Fukuo,Fuminori Shimizu 대한뇌혈관외과학회 2023 Journal of Cerebrovascular and Endovascular Neuros Vol.25 No.3
Objective: The term “weekend effect” refers to an increase in the mortality rate for hospitalizations occurring on weekends versus weekdays. In this study, we investigated whether such an effect exists in patients undergoing mechanical thrombectomy for acute ischemic stroke with large vessel occlusion (currently the standard treatment for this condition) at a single center in Japan. Methods: We surveyed 151 patients who underwent mechanical thrombectomy for acute ischemic stroke with large vessel occlusion (75 and 76 patients were treated during daytime and nighttime, respectively) from January 2019 to June 2021. The items evaluated in this analysis were the rate of modified Rankin Scale ≤2 or prestroke scale, mortality, and procedural treatment time. Results: The rates of modified Rankin Scale ≤2 or prestroke scale and mortality at 90 days after treatment did not differ significantly between daytime and nighttime (41.3% vs. 29.0%, p=0.11; 14.7% vs. 11.8%, p=0.61, respectively). The door-to-groin time tended to be shorter during daytime versus nighttime (57 [IQR: 42.5–70] min vs. 70 [IQR: 55–82]) min, p=0.0507). Conclusions: This study did not reveal differences in treatment outcome between daytime and nighttime in patients undergoing mechanical thrombectomy for acute ischemic stroke with large vessel occlusion. Therefore, the “weekend effect” was not observed in our institution.
ON CONGRUENCES INVOLVING THE GENERALIZED CATALAN NUMBERS AND HARMONIC NUMBERS
Koparal, Sibel,Omur, Nese Korean Mathematical Society 2019 대한수학회보 Vol.56 No.3
In this paper, we prove some congruences involving the generalized Catalan numbers and harmonic numbers modulo $p^2$, one of which is $$\sum\limits_{k=1}^{p-1}k^2B_{p,k}B_{p,k-d}{\equiv}4(-1)^d\{{\frac{1}{3}}d(2d^2+1)(4pH_d-1)-p\({\frac{26}{9}}d^3+{\frac{4}{3}}d^2+{\frac{7}{9}}d+{\frac{1}{2}}\)\}\;(mod\;p^2)$$, where a prime number p > 3 and $1{\leq}d{\leq}p$.
Two Variants of the Reciprocal Super Catalan Matrix
Kilic, Emrah,Omur, Nese,Koparal, Sibel,Ulutas, Yucel Turker Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.2
In this paper, we define two kinds variants of the super Catalan matrix as well as their q-analoques. We give explicit expressions for LU-decompositions of these matrices and their inverses.
ON CONGRUENCES WITH THE TERMS OF THE SECOND ORDER SEQUENCES {U<sub>kn</sub>} AND {V<sub>kn</sub>}
KOPARAL, SIBEL,OMUR, Nese The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.3
In this paper, we consider the congruences involving harmonic numbers and the terms of the sequences {$U_{kn}$} and {$V_{kn}$}. For example, for an odd prime number p, $${\sum\limits_{i=1}^{p-1}}H_i{\frac{U_{k(i+m)}}{V^i_k}}{\equiv}{\frac{(-1)^kU_{k(m+1)}}{_pV^{p-1}_k}}(V^p_k-V_{kp})(mod\;p)$$, where $m{\in}{\mathbb{Z}}$ and $k{\in}{\mathbb{Z}}$ with $p{\nmid}V_k$.
NEW CONGRUENCES WITH THE GENERALIZED CATALAN NUMBERS AND HARMONIC NUMBERS
Elkhiri, Laid,Koparal, Sibel,Omur, Nese Korean Mathematical Society 2021 대한수학회보 Vol.58 No.5
In this paper, we give new congruences with the generalized Catalan numbers and harmonic numbers modulo p<sup>2</sup>. One of our results is as follows: for prime number p > 3, $${\sum\limits_{k=(p+1)/2}^{p-1}}\;k^2B_{p,k}B_{p,k-(p-1)/2}H_k{\equiv}(-1)^{(p-1)/2}\(-{\frac{521}{36}}p-{\frac{1}{p}}-{\frac{41}{12}}+pH^2_{3(p-1)/2}-10pq^2_p(2)+4\({\frac{10}{3}}p+1\)q_p(2)\)\;(mod\;p^2),$$ where q<sub>p</sub>(2) is Fermat quotient.
Clinical Features and Etiology of Adult Patients with Fever and Rash
( Fehmi Tabak ),( Aysan Murtezaoglu ),( Omur Tabak ),( Resat Ozaras ),( Bilgul Mete ),( Zekayi Kutlubay ),( Ali Mert ),( Recep Ozturk ) 대한피부과학회 2012 Annals of Dermatology Vol.24 No.4
Background: Patients with fever and rash often pose an urgent diagnostic and therapeutic dilemma for the clinician. The nonspecificity of many fever and rash syndromes mandates a systemic approach to diagnosis. Objective: We aimed to determine the etiology of fever and rash in 100 adult patients followed-up as in- or outpatients prospectively. Methods: All the patients, who presented with rash and fever, were followed-up prospectively and their clinical and laboratory studies were evaluated. Results: The median age was 35 years (14∼79 years); 45 were female and 55 were male. Patients were divided into 3 groups according to the etiology: infectious (50%), noninfectious (40%) and undiagnosed (10%). The most common type of rash was maculopapular, and the most common 5 causes were measles, cutaneous drug reactions, varicella, adult-onset Still`s disease (ASD) and rickettsial disease. Viral diseases among infectious causes and cutaneous drug reactions, among the noninfectious causes, were determined as the main diseases. The mortality rate was 5% and the reasons of mortality were as follows: toxic epidermal necrolysis (2 patients), ASD (1), staphylococcal toxic shock syndrome (1) and graft-versus-host disease (1). Conclusion: Adult patients with fever and rash had a wide differential diagnosis. The most common type of rash was determined as maculopapular, and the most frequent five diseases were measles, drug reactions, chickenpox, ASD and rickettsial infection. Viral diseases among infectious causes and drug reactions among noninfectious causes were determined as the leading etiologies. (Ann Dermatol 24(4) 420∼425, 2012)
ON CONGRUENCES WITH THE TERMS OF THE SECOND ORDER SEQUENCES {U <sub>kn</sub>} AND {V <sub>kn</sub>}
( Sibel Koparal ),( Nese Omur ) 호남수학회 2018 호남수학학술지 Vol.40 No.3
In this paper, we consider the congruences involving harmonic numbers and the terms of the sequences {U <sub>kn</sub>} and {V <sub>kn</sub>}. For example, for an odd prime number p, where m □ Z and k □ Z with p □ V<sub>k</sub>.