• Title/Summary/Keyword: locally maximal

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HYPERBOLICITY OF CHAIN TRANSITIVE SETS WITH LIMIT SHADOWING

  • Fakhari, Abbas;Lee, Seunghee;Tajbakhsh, Khosro
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.5
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    • pp.1259-1267
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    • 2014
  • In this paper we show that any chain transitive set of a diffeomorphism on a compact $C^{\infty}$-manifold which is $C^1$-stably limit shadowable is hyperbolic. Moreover, it is proved that a locally maximal chain transitive set of a $C^1$-generic diffeomorphism is hyperbolic if and only if it is limit shadowable.

A NOTE ON TOPOLOGICAL PROPERTIES IN MULTI-VALUED DYNAMICAL SYSTEMS

  • Cho, Chihyun;Chu, Hahng-Yun;Kang, No-Weon;Kim, Myoung-Jung
    • Journal of the Chungcheong Mathematical Society
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    • v.35 no.2
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    • pp.171-176
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    • 2022
  • In this article, we investigate the transitivity and chain transitivity on multi-valued dynamical systems. For compact-valued continuous dynamics, we prove that the notion of transitivity is expressed by the notions of the shadowing property and chain transitivity under locally maximal condition.

THE EFFECT OF INTRA-ARTICULAR INJECTION OF HYALURONIC ACID AFTER ARTHROCENTESIS IN TREATMENT OF INTERNAL DERANGEMENTS OF THE TMJ (악관절 내장증 치료를 위한 악관절 세정술 후 관절강내 Hyaluronic Acid 주입 효과)

  • Kim, Jae-Jin
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.32 no.5
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    • pp.453-457
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    • 2006
  • This study was designed to investigate the effect of intra-articular injection of hyaluronic acid for the treatment of internal derangements of the temporomandibular joint(TMJ). Sixteen patients with internal derangements of TMJ in 1 male and 15 females aged 68 to 18 years comprised the study material. The patients' complaint was limited mouth opening and pain during function. Patients were divided into 3 groups(articular disc displacement with reduction, articular disc displacement without reduction, osteoarthritis group). The preauricular area was disinfected anesthetized locally with 2% lidocaine hydrochloride. Arthrocentesis was performed. Hyaluronic acid(1.5 ㏄) was then injected into the superior compartment of the TMJ. Active range of motion exercises were instituted at approximately 24 hours postoperatively. Antibiotics and NSAID, three times daily by mouth, was prescribed for 3 days. Clinical evaluation of the patients was done before the procedure, immediately after the procedure, final follow-up visit postoperatively. Pain during function was assessed using visual analog scales(VAS). Maximal mouth opening was recorded as a distance between upper incisal edge and lower incisal edge. Intra-articular injection of hyaluronic acid caused significant reduction of pain during function, significant increase of maximal opening range. These findings suggest that intra-articular injection of hyaluronic acid is useful for decreasing patient reports of pain while increasing functional mobility of the mandible in internal derangements of the TMJ.

Early Response of Cardiopulmonary Exercise Test(CPET) in Patients with Locally Advanced Non-Small Cell Lung Cancer Treated with Radiation (방사선 치료 후 폐암환자의 운동부하 심.폐 기능의 초기변화)

  • Shin, Kyeong-Cheol;Lee, Deok-Hee;Lee, Kwan-Ho
    • Tuberculosis and Respiratory Diseases
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    • v.49 no.4
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    • pp.466-473
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    • 2000
  • Background : Patients with locally advanced non-small cell lung cancer are often treated with radiation alone or in combination with chemotherapy. Both modalities have a potentially damaging effect on pulmonary function. In order to examine changes in the cardiopulmonary exercise function of patients with locally advanced non-small cell lung cancer before and after conventional radiotherapy, we conducted a prospective study involving patients with such cancer, that had received radiation therapy. Method : Resting pulmonary function test, thoracic radiographic finding and cardiopulmonary exercise test(CPET) were assessed prior to and 4 weeks following radiation therapy in 11 male patients with locally advanced non-small cell lung cancer. Patient with endobronchial mass were excluded. Results : The forces vital capacity (FVC), forced expiratory volume in 1 second ($FEV_1$ and maximal voluntary ventilation (MVV) did not decreased between before and 4 weeks after radiation but the diffusing capacity (DLCO) had decreased by 11% 4 weeks after radiation, which was not statistically significant. No changes in maximal oxygen consumption ($VO_2$max), carbon dioxide production ($VCO_2$), exercise time and work load were attributed to radiation therapy. Follow up cardiopulmonary exercise testing revealed unchanged cardiovascular function, ventilatory function and gas exchange. No difference in cardiopulmonary exercise test performance was observed between pre- and post-radiation. Conclusion : Cardiopulmonary exercise function did not decrease within the short-term after the radiation of patients with locally advanced non-small cell lung cancer.

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GENERIC DIFFEOMORPHISM WITH SHADOWING PROPERTY ON TRANSITIVE SETS

  • Lee, Manseob;Kang, Bowon;Oh, Jumi
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.4
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    • pp.643-653
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    • 2012
  • Let $f\;:\;M\;{\rightarrow}\;M$ be a diffeomorphism on a closed $C^{\infty}$ manifold. Let $\Lambda$ be a transitive set. In this paper, we show that (i) $C^1$-generically, $f$ has the shadowing property on a locally maximal $\Lambda$ if and only if $\Lambda$ is hyperbolic, (ii) f has the $C^1$-stably shadowing property on $\Lambda$ if and only if $\Lambda$ is hyperbolic.

CO-UNIFORM AND HOLLOW S-ACTS OVER MONOIDS

  • Khosravi, Roghaieh;Roueentan, Mohammad
    • Communications of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.347-358
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    • 2022
  • In this paper, we first introduce the notions of superfluous and coessential subacts. Then hollow and co-uniform S-acts are defined as the acts that all proper subacts are superfluous and coessential, respectively. Also it is indicated that the class of hollow S-acts is properly between two classes of indecomposable and locally cyclic S-acts. Moreover, using the notion of radical of an S-act as the intersection of all maximal subacts, the relations between hollow and local S-acts are investigated. Ultimately, the notion of a supplement of a subact is defined to characterize the union of hollow S-acts.

HYPERBOLIC STRUCTURE OF POINTWISE INVERSE PSEUDO-ORBIT TRACING PROPERTY FOR C1 DIFFEOMORPHISMS

  • Manseob Lee
    • Communications of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.243-256
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    • 2023
  • We deal with a type of inverse pseudo-orbit tracing property with respect to the class of continuous methods, as suggested and studied by Pilyugin [54]. In this paper, we consider a continuous method induced through the diffeomorphism of a compact smooth manifold, and using the concept, we proved the following: (i) If a diffeomorphism f of a compact smooth manifold M has the robustly pointwise inverse pseudoorbit tracing property, f is structurally stable. (ii) For a C1 generic diffeomorphism f of a compact smooth manifold M, if f has the pointwise inverse pseudo-orbit tracing property, f is structurally stable. (iii) If a diffeomorphism f has the robustly pointwise inverse pseudo-orbit tracing property around a transitive set Λ, then Λ is hyperbolic for f. Finally, (iv) for C1 generically, if a diffeomorphism f has the pointwise inverse pseudo-orbit tracing property around a locally maximal transitive set Λ, then Λ is hyperbolic for f. In addition, we investigate cases of volume preserving diffeomorphisms.

Early Response of Cardiopulmonary Exercise Test in Patients with Locally Advanced Non-Small Cell Lung Cancer Treated with Systemic Chemotherapy (국소진행성 폐암환자에 대한 전신항암화학요법이 운동부하 심.폐기능에 미치는 영향 : 초기변화를 중심으로)

  • Shin, Kyeong-Cheol;Chung, Jin-Hong;Lee, Kwan-Ho
    • Tuberculosis and Respiratory Diseases
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    • v.53 no.4
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    • pp.369-378
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    • 2002
  • Background : The effects of chemotherapy on pulmonary function are mainly a reduced diffusion capacity and a restrictive ventilatory impairment. Exercise can expose cardiovascular and pulmonary abnormalities not evident at rest. Exercise related cardiopulmonary function is important in patients with malignant disease as a determinant of quality of life. We performed this study to evaluate the changes of body composition and cadiopulmonary exercise perfoemance of patients with locally advanced, non-small cell, lung cancer (NSCLC) before and after chemotherapy. Methods : We evaluated resting pulmonary function, body composition, physiologic performance status, and cardiopulmonary exercise function in 11 patients with locally advanced NSCLC, at diagnosis and prior to the fourth cycle of chemotherapy. Results : After chemotherapy, 4 patients (36.4%) showed partial response and 7 (63.4%) had stable disease. After chemotherapy, diffusion capacity of the lung for carbon monoxide was reduced ($89.7{\pm}34.1%$, vs. $71.9{\pm}20.5%$) but not significantly. There were no significant changes in body composition or the state of physiologic performance after chemotherapy. There was a significant impairment of cardiopulmonary exercise tolerance in patients with NSCLC, evidenced by a reduction of maximal oxygen uptake ($VO_2$max, ml/kg/min, $17.9{\pm}2.6$ : $12.6{\pm}6.1$, <0.05) and $O_2$pulse ($O_2$ pulse, ml/beat, $7.0{\pm}1.7$, $5.2{\pm}2.1$, <0.05). Conclusion : Systemic chemotherapy resulted in a loss of cardiopulmonary exercise function in patients with locally advanced NSCLC within the short-term period, but not a physiologic change of body composition within the same period.

FDG-PET/CT as prognostic factor and surveillance tool for postoperative radiation recurrence in locally advanced head and neck cancer

  • Kim, Gi-Won;Kim, Yeon-Sil;Han, Eun-Ji;Yoo, Ie-Ryung;Song, Jin-Ho;Lee, Sang-Nam;Lee, Jong-Hoon;Choi, Byung-Oak;Jang, Hong-Seok;Yoon, Sei-Chul
    • Radiation Oncology Journal
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    • v.29 no.4
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    • pp.243-251
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    • 2011
  • Purpose: To evaluate the prognostic value of metabolic tumor volume (MTV) and maximum standardized uptake value (SUVmax) on initial positron emission tomography-computed tomography (PET-CT) and investigate the clinical value of SUVmax for early detection of locoregional recurrent disease after postoperative radiotherapy in patients with locally advanced head and neck squamous cell carcinoma (HNSCC). Materials and Methods: A total of 100 patients with locally advanced HNSCC received primary tumor excision and neck dissection followed by adjuvant radiotherapy with or without chemotherapy. The MTV and SUVmax were measured from primary sites and neck nodes. The prognostic value of MTV and SUVmax were assessed using initial staging PET/CT (study A). Follow-up PET/CT scan available after postoperative concurrent chemoradiotherapy or radiotherapy were evaluated for the SUVmax value and correlated with locoregional recurrence (study B). A receiver operating characteristic (ROC) curve analysis was used to define a threshold value of SUVmax with the highest accuracy for recurrent disease assessment. Results: High MTV (>41 mL) is negative prognostic factor for disease free survival (p = 0.041). Postradiation SUVmax was significantly correlated with locoregional recurrence (hazard ratio, 1.812; 95% confidence interval, 1.361 to 2.413; P < 0.001). A cutoff value of 5.38 from follow-up PET/CT was identified as having maximal accuracy for detecting locoregional recurrence by ROC analysis. Conclusion: MTV at staging work-up was significantly associated with disease free survival. The SUVmax value from follow-up PET/CT showed high diagnostic accuracy for the detection of locoregional recurrence in postoperatively irradiated HNSCC.

A Study on Laser-Assisted Machining Process of Silicon Nitride (질화규소의 Laser-Assisted Machining 공정에 관한 연구)

  • Lim, Se-Hwan;Lee, Jae-Hoon;Shin, Dong-Sig;Kim, Jong-Do;Kim, Joo-Hyun
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.5
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    • pp.48-56
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    • 2009
  • In this paper, laser-assisted machining(LAM) has been employed to machine hot isostatically pressed (HIPed) Si3N4 work pieces. Due to little residual flaws and porosity, HIPed $Si_3N_4$ work pieces are more difficult to machine compared to normally sintered $Si_3N_4$ workpieces. In LAM, the intense energy of laser was used to enhance machinability by locally heating the workpiece and thus reducing yield strength. In experiments, the laser power ranges from 200W to 800W and the diameter of work pieces is 16mm. While machining, the surface temperature was kept nearly constant by laser heating except for a short period of rise time of max. 58 seconds. Results showed as feed rate increases the surface temperature of $Si_3N_4$ workpieces decreases slightly, whereas the effect of depth of cut is disregardable. With a laser power of 800W, achievable maximal depth of cut as 0.7mm and feed rate was 0.03mm/rev.