• Title/Summary/Keyword: mild condition

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Weighted Lp Boundedness for the Function of Marcinkiewicz

  • Al-Qassem, Hussain M.
    • Kyungpook Mathematical Journal
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    • v.46 no.1
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    • pp.31-48
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    • 2006
  • In this paper, we prove a weighted norm inequality for the Marcinkiewicz integral operator $\mathcal{M}_{{\Omega},h}$ when $h$ satisfies a mild regularity condition and ${\Omega}$ belongs to $L(log L)^{1l2}(S^{n-1})$, $n{\geq}2$. We also prove the weighted $L^p$ boundedness for a class of Marcinkiewicz integral operators $\mathcal{M}^*_{{\Omega},h,{\lambda}}$ and $\mathcal{M}_{{\Omega},h,S}$ related to the Littlewood-Paley $g^*_{\lambda}$-function and the area integral S, respectively.

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Traumatic Separation of Bipartite Patella Underlying Gout

  • Choi, Eun Seok;Sim, Jae Ang;Go, Jae Yun;Na, Young Gon
    • Journal of Trauma and Injury
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    • v.31 no.3
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    • pp.189-193
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    • 2018
  • Gouty arthritis is a common crystal arthropathy, but gout tophus in the bipartite patella is a rare condition. This report presented a traumatic separation of bipartite patellar fragment caused by mild trauma in a patient with comorbid gout. When a patient with bipartite patella and underlying gouty arthritis complains of pain after trauma, clinical suspicion is needed about fragment separation of the bipartite patella.

EXISTENCE AND STABILITY RESULTS OF GENERALIZED FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS

  • Kausika, C.;Balachandran, K.;Annapoorani, N.;Kim, J.K.
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.4
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    • pp.793-809
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    • 2021
  • This paper gives sufficient conditions to ensure the existence and stability of solutions for generalized nonlinear fractional integrodifferential equations of order α (1 < α < 2). The main theorem asserts the stability results in a weighted Banach space, employing the Krasnoselskii's fixed point technique and the existence of at least one mild solution satisfying the asymptotic stability condition. Two examples are provided to illustrate the theory.

ON SEMILOCAL CONVERGENCE OF A MULTIPOINT THIRD ORDER METHOD WITH R-ORDER (2 + p) UNDER A MILD DIFFERENTIABILITY CONDITION

  • Parida, P.K.;Gupta, D.K.;Parhi, S.K.
    • Journal of applied mathematics & informatics
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    • v.31 no.3_4
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    • pp.399-416
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    • 2013
  • The semilocal convergence of a third order iterative method used for solving nonlinear operator equations in Banach spaces is established by using recurrence relations under the assumption that the second Fr´echet derivative of the involved operator satisfies the ${\omega}$-continuity condition given by $||F^{\prime\prime}(x)-F^{\prime\prime}(y)||{\leq}{\omega}(||x-y||)$, $x,y{\in}{\Omega}$, where, ${\omega}(x)$ is a nondecreasing continuous real function for x > 0, such that ${\omega}(0){\geq}0$. This condition is milder than the usual Lipschitz/H$\ddot{o}$lder continuity condition on $F^{\prime\prime}$. A family of recurrence relations based on two constants depending on the involved operator is derived. An existence-uniqueness theorem is established to show that the R-order convergence of the method is (2+$p$), where $p{\in}(0,1]$. A priori error bounds for the method are also derived. Two numerical examples are worked out to demonstrate the efficacy of our approach and comparisons are elucidated with a known result.

The Characteristics of Visuospatial Working Memory in Alzheimer's Disease (알츠하이머병에서의 시공간 작업기억 특성)

  • Kim, Seol-Min;Lee, Young-Ho;Youn, Jung-Hae;Lee, Ju-Won;Lee, Jun-Young
    • Korean Journal of Biological Psychiatry
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    • v.16 no.4
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    • pp.238-245
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    • 2009
  • Objectives : Mild Alzheimer's disease(AD) is uncertain to be related to visuospatial working memory subsystem dysfunction. We used the self ordered pointing test(SOPT) to find the characteristics of visuospatial working memory in mild AD. Methods : We compared the visuospatial working memory abilities of 20 patients with mild AD and 20 normal elderly controls(NC) using SOPT, of which stimuli consisted of two stimuli types(A : abstract, C : concrete) and two stimuli numbers(8 and 12). Therefore, working memory was tested using C8, C12, A8, and A12 stimuli conditions in SOPT. Mixed-model ANOVA was conducted with the AD and NC groups as between-subjects factor, with stimuli types and stimuli numbers as the within-subjects factors and with SOPT error rates as the dependent variable. Results : The AD group showed higher error rates in SOPT than the NC group. The NC group showed low error rates in concrete stimuli than in abstract stimuli and in small stimuli numbers than in large stimuli numbers. And the AD group showed no differences between stimuli types or stimuli numbers. Conclusion : AD patients showed a poor performance in visuospatial working memory using concrete stimuli. The result suggests that there is a non-transformation from visual input to phonological working memory in AD. Patients with AD showed a poor performance although in small stimuli number condition of SOPT. It suggests that in AD, visuospatial working memory is not working well although in low central executive loads.

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A Study on Corrosive Wear Characteristics and the Mechanism of Austempered Low-Alloy Ductile Iron (오스템퍼링 한 저합금구상흑연주철의 부식마멸특성 및 그 기구에 관한 연구)

  • 박흥식;진동규
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1404-1411
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    • 1993
  • This study was undertaken to investigate the corrosive wear charateristics upon various transformation condition of austempered low-alloy ductile cast iron in corrosive environments against mating specimen made of the hardened SM45C. The corrosive wear test was carried out by rubbing the annular surface of two test pieces in distilled water and aqueous solution at constant sliding speed of 0.5m/s. In severe wear region, the corrosive wear rate Wc increased hastily with NaCl concentration owing to intermetallic adhesion but Wc went down slowly in mild wear region due to lubricating effect of the corrosion product. The critical sliding distance decreased with increasing NaCl concentration due to increased generation rate of the corrosion product and the specific corrosive wear rate has maximum in 1% NaCl aqueous solution at mild wear region. With the variation of matrix, the corrosive wear resistance of the fine acicular bainite was higher than that of coarse upper bainite because of reducing the local cell reaction by carbides. A growth in volume fraction of retained austenite in matrix increased the Wc due to soften surface, but has a declining tendency of Wc in mild wear region.

Antioxidant Effect of some Chelating Agents on Soybean Oil (식용대두유에 대한 Chelating agent의 항산화 효과)

  • Cho, Mi-Za;Hahn, Tae-Sik;Kwon, Tae-Bong;Oh, Sung-Ki
    • Applied Biological Chemistry
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    • v.32 no.1
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    • pp.30-36
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    • 1989
  • Some chelating agents are evaluated as an antioxidant for the autoxidation of soybean oil. Soybean oil is autoxidized under a mild condition (the flow rate of 67ml $O_{2}/min$ and $50^{\circ}C$). The antioxidant effect is measured by active oxygen method, and the spectral change of autoxidized soybean oil examined. The antioxidant effect of chelating agents is increased in order of diphenic acid, naphthoquinone, pyromellitic acid, quinolinic acid and naphthalic acid, and particularly the effect is low in diphenic acid and naphthoquinone. It is found that the effect is more clearly demonstrated by NMR rather than IR and UV and that the effect is dependent on the functional group and geometric molecular structure of chelating agents.

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Antioxidant Effect of some Phenolics on Soybean Oil (식용대두유에 대한 Phenolics의 항산화 효과)

  • Cho, Mi-Za;Kwon, Tae-Bong;Oh, Sung-Ki
    • Applied Biological Chemistry
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    • v.32 no.1
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    • pp.37-43
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    • 1989
  • Some phenolics were examined as an antioxidant for the autoxidation of soybean oil. Soybean oil was autoxidized under a mild condition (the flow rate of 67ml $O_{2}/min$ and $50^{\circ}C$). The antioxidant effect was estimated by active oxygen method. Phenolics show distinctive antioxidant effect, and the effect is prominent when cupper or iron was added. Phenolics showed a tendency to increase antioxidant effect with an increase of the number of hydroxyl group, and the increasing order was ferulic acid, quinalizarin, sesamol, alizarin, fisetin and purpurogallin. However, the effect was remarkably low in ferulic acid, alizarin and quinalizarin. It was found that the antioxidant effect was dependent on the functional group and geometric molecular structure of phenolics.

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Management of Pulmonary Hypertension Due to Brachycephalic Obstructive Airway Syndrome in a Dog

  • Song, Yunji;Kim, Yeji;Kim, Jihyun;Kim, Kwon-Neung;Oh, Songju;Kim, Ha-Jung
    • Journal of Veterinary Clinics
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    • v.39 no.5
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    • pp.240-245
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    • 2022
  • A 15-year-old, neutered male, Shih-Tzu, was presented at the Chonnam National Veterinary Medical Teaching Hospital for evaluation of acute onset of persistent coughing, exercise intolerance, and abnormal heart sound. On thoracic auscultation, a split-second heart sound and a wheezing sound were detected on both sides of the chest walls. On physical examination, the dog's body condition score (BCS) was 7/9, and had stenotic nares. Thoracic radiographs revealed right-sided enlargement of the cardiac silhouette (vertebral heart score (VHS) 11.2; reference interval = 8.9-10.1), mild main pulmonary artery (MPA) bulging, mild interstitial infiltration, and hepatomegaly. The electrocardiogram showed right axis deviation, suggesting right ventricular hypertrophy. The echocardiographic study showed moderate pulmonary hypertension and moderate tricuspid regurgitation. There were no findings of a tracheobronchial disease, pulmonary thromboembolism, congenital shunt, left heart disease, or parasitic disease. Based on clinical signs and diagnostic findings, the dog was diagnosed with pulmonary hypertension secondary to brachycephalic syndrome. To rectify respiratory exacerbating factors, the dog was recommended weight control by restricting dietary intake and managing concurrent Cushing's syndrome. Treatments included sildenafil, pimobendan, furosemide, and ramipril. After five months of taking medications and weight control, the severity of pulmonary hypertension improved from moderate to mild. The clinical signs of the patient, including coughing and exercise intolerance, improved a lot. For 5 months of follow-up, the patient has not reported further recurrence of respiratory distress.

Study on the method of Jeolgyeong using palpation of meridian and acupoint (경락경혈 안진법을 적용한 절경(切經) 방법론에 대한 고찰)

  • Yu, Jun-Sang
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.25 no.1
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    • pp.72-87
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    • 2021
  • Objectives This is the review on the Jeolgyeong which means diagnosis method of meridian and acupoints. Detecting method of meridian and acupoints under the disease condition using fingertips were more developed in Japan than in China and Korea. This study is the introduction to the Japanese style palpation method on meridian and acupoints. Methods Firstly the textbook 'Acupuncture medicine' published by the committee of Korean professors' association of acupuncture and moxibustion was analyzed. Especially the contents of the palpation method on meridian and acupoints were focused and summarized and secondly the book describing the palpation method on meridian and acupoints was selected, translated and summarized. Results Until now the knowledge on the acupoints reaction depending on the patient's status, the deficiency pattern and the excessive pattern was rarely described in China and Korea. On the contrary, 4 kinds of reactions in the deficiency pattern and 4 kinds of reactions in the excessive pattern were well described in Japanese literatures. Mild touching, mild pinching, rubbing, mild pressing and severe pressing were also described along the meridians. Except the bladder meridian Back Shu points, Yuan points, Luo points, Xi(cleft) points, Front Mu points were depicted as the same as those in China and Korea. For the bladder meridian lines, 4 lines were organized including 2 lines of Hua-Tuo-Jia-Ji-Xue and the middle line between 1st and 2nd bladder meridian line as well as 1st bladder meridian line and 2nd bladder meridian line. Conclusions Detecting meridians or acupoints and using them for diagnosis and treatment is a method used in China, Korea, and Japan. However, detailed descriptions of the method for detecting meridians through palpation are revealed in Japanese books. Palpation methods for diagnosing meridians using touching, pinching, rubbing, and pressing methods are expected to be standardized and systematically learned in Korea.

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