• Title/Summary/Keyword: normal form term

Search Result 39, Processing Time 0.024 seconds

CLASSIFICATION OF NONOSCILLATORY SOLUTIONS OF SECOND ORDER SELF-ADJOINT NEUTRAL DIFFERENCE EQUATIONS

  • Liu, Yujun;Liu, Zahaoshuang;Zhang, Zhenguo
    • Journal of applied mathematics & informatics
    • /
    • v.14 no.1_2
    • /
    • pp.237-249
    • /
    • 2004
  • Consider the second order self-adjoint neutral difference equation of form $\Delta(a_n$\mid$\Delta(x_n\;-\;{p_n}{x_{{\tau}_n}}$\mid$^{\alpha}sgn{\Delta}(x_n\;-\;{p_n}{x_{{\tau}_n}}\;+\;f(n,\;{x_{g_n}}\;=\;0$. In this paper, we will give the classification of nonoscillatory solutions of the above equation; and by the fixed point theorem, we present some existence results for some kinds of nonoscillatory solutions of the equation.

HYPERIDENTITIES IN (xy)x ≈x(yy) GRAPH ALGEBRAS OF TYPE (2,0)

  • Khampakdee, Jeeranunt;Poomsa-Ard, Tiang
    • Bulletin of the Korean Mathematical Society
    • /
    • v.44 no.4
    • /
    • pp.651-661
    • /
    • 2007
  • Graph algebras establish a connection between directed graphs without multiple edges and special universal algebras of type (2,0). We say that a graph G satisfies an identity $s{\approx}t$ if the corresponding graph algebra $\underline{A(G)}$ satisfies $s{\approx}t$. A graph G=(V,E) is called an $(xy)x{\approx}x(yy)$ graph if the graph algebra $\underline{A(G)}$ satisfies the equation $(xy)x{\approx}x(yy)$. An identity $s{\approx}t$ of terms s and t of any type ${\tau}$ is called a hyperidentity of an algebra $\underline{A}$ if whenever the operation symbols occurring in s and t are replaced by any term operations of $\underline{A}$ of the appropriate arity, the resulting identities hold in $\underline{A}$. In this paper we characterize $(xy)x{\approx}x(yy)$ graph algebras, identities and hyperidentities in $(xy)x{\approx}x(yy)$ graph algebras.

A Comparative Study of the Plantar Foot Pressure according to the Form of Foot Angle during Level Walking (평지 보행 시 발 각도 형태에 따른 발바닥 압력 비교 연구)

  • Lee, Jeon-Hyeong;Kim, Ki-Chul;Kuk, Jung-Suk
    • PNF and Movement
    • /
    • v.12 no.2
    • /
    • pp.89-96
    • /
    • 2014
  • Purpose: The purpose of this study was to examine the influence of foot angles on plantar pressure and the center of pressure (COP) trajectory length during level walking. Methods: The study subjects were 30 female university students without orthopedic diseases in the foot. The foot angle was divided into three forms (out-toeing, normal, in-toeing). The subjects practiced each type of gait, and then performed each of level walking, three times, and their averages were calculated. A plantar pressure measurement instrument was used, and the maximum force was obtained by dividing the foot into nine regions covering the anterior medial-lateral, middle medial-lateral, and posterior medial-lateral. The COP trajectory length was statistically processed by obtaining medial-lateral, anterior-posterior, and entire travel distance. Results: During normal walking, the maximum force was significantly higher in the anterior lateral than in the other areas, and the COP trajectory length was significantly shorter in the front-back and entire travel distances (p<0.05). During stair climbing. Conclusion: Walking at abnormal foot angles does not cause appreciable problems in the short term as pressure is concentrated on a specific plantar part. However, it becomes the cause of deformed foot structures and can result in musculoskeletal disabilities in the long term. Therefore, a kinesiatrics-based intervention is required to maintain normal foot angles.

Flexure of cross-ply laminated plates using equivalent single layer trigonometric shear deformation theory

  • Sayyad, Atteshamuddin S.;Ghugal, Yuwaraj M.
    • Structural Engineering and Mechanics
    • /
    • v.51 no.5
    • /
    • pp.867-891
    • /
    • 2014
  • An equivalent single layer trigonometric shear deformation theory taking into account transverse shear deformation effect as well as transverse normal strain effect is presented for static flexure of cross-ply laminated composite and sandwich plates. The inplane displacement field uses sinusoidal function in terms of thickness coordinate to include the transverse shear deformation effect. The cosine function in thickness coordinate is used in transverse displacement to include the effect of transverse normal strain. The kinematics of the present theory is much richer than those of the other higher order shear deformation theories, because if the trigonometric term (involving thickness coordinate z) is expanded in power series, the kinematics of higher order theories (which are usually obtained by power series in thickness coordinate z) are implicitly taken into account to good deal of extent. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The closed-form solutions of simply supported cross-ply laminated composite and sandwich plates have been obtained. The results of present theory are compared with those of the classical plate theory (CPT), first order shear deformation theory (FSDT), higher order shear deformation theory (HSDT) of Reddy and exact three dimensional elasticity theory wherever applicable. The results predicted by present theory are in good agreement with those of higher order shear deformation theory and the elasticity theory.

Time-dependent variations of accretion disk (Accretion disk의 시간에 따른 변화)

  • 나혜원;김경미;최규홍
    • Journal of Astronomy and Space Sciences
    • /
    • v.4 no.1
    • /
    • pp.11-23
    • /
    • 1987
  • In dward nova we assume the primary star as a white dwarf and the secondary as the late type star which filled Roche lobe. Mass flow from the secondary star leads to the formation of thin accretion disk around the white dwarf. We use the $\alpha$ parameter as viscosity to maintain the disk form and propose that the outburst in dwarf nova cause the step increase of source term. With these assumptions we solve the basic equations of stellar structure using New-Raphson method. We show the physical parameters like temperature, density, pressure, opacity, surface density, height and flux to the radius of disk. Changing the value of $\alpha$, we compare several parameters when mass flow rate is constant with those of when luminosity of disk is brightest. At the same time, we obtain time-dependent variations of luminosity and mass of disk. We propose the suitable range of $\alpha$is 0.15-0.18 to the difference of luminosity. We compare several parameters of disk with those of the normal late type stars which have the same molecular weight of disk. These show the temperature and pressure of disk are similar to those of normal stars but the density of disk is lower. Maybe the outburst in dwarf nova is due to the variation of the $\alpha$ value instead of increment of mass flow from the secondary star.

  • PDF

AN UNFOLDING OF DEGENERATE EQUILIBRIA WITH LINEAR PART $\chi$'v= y, y' = 0

  • Han, Gil-Jun
    • The Pure and Applied Mathematics
    • /
    • v.4 no.1
    • /
    • pp.61-69
    • /
    • 1997
  • In this paper, we study the dynamics of a two-parameter unfolding system $\chi$' = y, y' = $\beta$y+$\alpha$f($\chi\alpha\pm\chiy$+yg($\chi$), where f($\chi$,$\alpha$) is a second order polynomial in $\chi$ and g($\chi$) is strictly nonlinear in $\chi$. We show that the higher order term yg($\chi$) in the system does not change qulitative structure of the Hopf bifurcations near the fixed points for small $\alpha$ and $\beta$ if the nontrivial fixed point approaches to the origin as $\alpha$ approaches zero.

  • PDF

Low-Frequency Normal Mode Reverberation Model (저주파수 정상모드 잔향음 모델)

  • Oh, Suntaek;Cho, Sungho;Kang, Donhyug;Park, Kyoungju
    • The Journal of the Acoustical Society of Korea
    • /
    • v.34 no.3
    • /
    • pp.184-191
    • /
    • 2015
  • In this paper, a normal mode reverberation model for a range-independent environment of shallow water is proposed to calculate the reverberation level in the low-frequency range. Normal mode is used to calculate the acoustic energy propagating from the source to the scattering area and from the scattering area to the receiver. Each mode is decomposed into up and down going waves to consider scattering strength at the scattering area. The scattering functional form combines Lambert's law with a Gaussian-like term near the specular direction based on Kirchhoff approximation considering bottom condition. For verification of the suggested model, the result is relatively compared to several solutions of the problem XI and XV in the Reverberation Modeling Workshop I sponsored by the US Office of Naval Research.

Pathological Studies on Ovaries, Thyroid Glands and Hypophyses of Rabbits Following Administration of Sulfadimethoxine (Sulfadimethoxine(SDM) 투여(投與) 가토(家兎)의 난소(卵巢), 갑상선(甲狀腺) 및 뇌하수체(雷下垂體)에 관한 병리학적(病理學的) 연구(硏究))

  • Rim, Byung Moo
    • Korean Journal of Veterinary Research
    • /
    • v.16 no.1
    • /
    • pp.77-96
    • /
    • 1976
  • In order to investigate the effects and acting mechanism on ovaries, thyroid glands and hypophyses of rabbits in short term administration of sulfadimethoxine (SDM) as medical dose, a total of 90 virgin albino rabbits (mean body weight, 1,362g) were selected at random and alloted to two groups. Rabbits in one group served as controls and the others were administered SDM of 50 mg/kg/day for 5 weeks, and then reared without medication for 4 weeks. Pathological changes of the three organs were observed each week for 9 weeks and the results obtained were summarized as follows: 1. Mean body weights of both groups manifested slow increasing tendency but mean hypophysis weights fluctuated throughout the experimental term. Mean ovary weights of experiments were decreased significantly from the 3rd to 6th week but mean thyroid weights of experiments were increased significantly from the 1st to 6th week compared with those of controls. 2. Many ovarian follicles of each developing stage showed follicular atresia accompanying atrophy or necrosis of oocytes and of disintegrated follicular cells. Theca interna cells and sudanophilic interstitial cells showed atrophy and diminished sudanophilic granules and also liquor folliculi were diminished. These changes icreased from the 1st week, remaining so for 5 weeks and returned to normal status in the 8th or 9th week. 3. The thyroid gland showed a typical hyperplastic goiter. Hypertrophic and hyperplastic epithelia follicular manifested cuboidal or columnar form showing tiny or small vacuoles in cytoplasm. The follicles showed atrophy and decreasing colloidal materials. Necrotic and regenerative changes were also present. The interfollicular vessels showed congestion and hemorrhage. These changes increased from the 1st week, remaining so for 5 weeks and returned to normal status in the 9th week. 4. The rates of differential cell counts of hypophyses revealed increase of basophils (gonadotrophs and thyrotrophs) and decrease of chromophobes. Basophils which had diminished granules stainable with HE, PAS and AF revealed hypertrophy, hyperplasia, and increasing of tiny or small vacuoles in cytoplasm. These changes increased from the 1st week, remaining so for 5 weeks and returned to normal status in the 8th or 9th week. As summarized above histologically, administration of SDM led thyrotrophs and gonadotrophs of pituitary glands to hyperactivity but revealed retrogressive and compensatory changes with functional disturbance in ovaries and thyroid glands. These changes were transitional and attributed to direct actions of the drugs on the ovaries and thyroid glands.

  • PDF

Brachytherapy in Coronary Artery Disease (관상동맥질환의 방사성동위원소 치료)

  • Song, Ho-Chun
    • Nuclear Medicine and Molecular Imaging
    • /
    • v.40 no.2
    • /
    • pp.113-119
    • /
    • 2006
  • Coronary artery disease is a loading cause of morbidity and mortality across the world. Percutaneous coronary intervention has become the major technique of revascularization. However, restenosis remains a major limitation of this procedure. Recently the need for repeat intervention due to restenosis, the most vexing long-term failure of percutaneous coronary intervention, has been significantly reduced owing to the introduction of two major advances, intracoronary brachytherapy and the drug-eluting stents. Intracoronary brachytherapy has been employed in recent years to prevent restenosis lesions with effective results, principally in in-stent restenosis. Restenosis is generally considered as au excessive form of normal wound healing divided up in precesses: elastic recoil, neointimal hyperplasia, and negative vascular remodeling. Restenosis has previously been regarded as a proliferative process in which neointimal thickening, mediated by a cascade of inflammatory mediators and other factors, is the key factor. Ionizing radiation has been shown to decrease the proliferative response to injury in animal models of restenosis. Subsequently, several randomized, double blind trials have demonstrated that intracoronary brachytherapy can reduce the rates of both angiographic restenosis and clinical event rates in patients undergoing percutaneous coronary intervention for in stent restenosis. Some problems, such as late thrombosis and edge restenosis, have been identified as limiting factors of this technique. Brachytherapy is a promising method of preventing and treating coronary artery restenosis.

Orthodontic treatment in a patient with Moebius syndrome: A case report

  • Lee, Sanghee;Moon, Cheol-Hyun
    • The korean journal of orthodontics
    • /
    • v.52 no.6
    • /
    • pp.451-460
    • /
    • 2022
  • Moebius syndrome (MBS) is a congenital neurologic disorder that causes cranio-facial abnormalities. It involves paralysis of the VI and VII cranial nerves and causes bilateral or unilateral facial paralysis, eye movement disorder, and deformation of the upper and lower limbs. The orofacial dysfunctions include microstomia, micrognathia, hypotonic mimetic and lip muscles, dental enamel hypoplasia, tongue deformity, open bite or deep overbite, maxillary hypoplasia, high arched palate, mandibular hyperplasia or features indicating mandibular hypoplasia. This case report presents a 7-year-old male patient who was diagnosed with MBS at the age 2 years. The patient displayed typical clinical symptoms and was diagnosed with Class II malocclusion with a large overjet/overbite, tongue deformity and motion limitation, and lip closure incompetency. Treatment was initiated using a removable appliance for left scissor bite correction. After permanent tooth eruption, fixed appliance treatment was performed for correction of the arch width discrepancy and deep overbite. A self-ligation system and wide-width arch form wire were used during the treatment to expand the arch width. After 30 months of phase II treatment, the alignment of the dental arch and stable molar occlusion was achieved. Function and occlusion remained stable with a Class I canine and molar relationship, and a normal overjet/overbite was maintained after 9.4 years of retainer use. In MBS patients, it is important to achieve an accurate early diagnosis, and implement a multidisciplinary treatment approach and long-term retention and follow-up.