• Title/Summary/Keyword: regularity criteria

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ON MIXED PRESSURE-VELOCITY REGULARITY CRITERIA FOR THE 3D MICROPOLAR EQUATIONS IN LORENTZ SPACES

  • Kim, Jae-Myoung;Kim, Jaewoo
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.1
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    • pp.85-92
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    • 2021
  • In present paper, inspired by the recently paper [1], we give the mixed pressure-velocity regular criteria in view of Lorentz spaces for weak solutions to 3D micropolar equations in a half space. Precisely, if (0.1) ${\frac{P}{(e^{-{\mid}x{\mid}^2}+{\mid}u{\mid})^{\theta}}{\in}L^p(0,T;L^{q,{\infty}}({\mathbb{R}}^3_+))$, p, q < ∞, and (0.2) ${\frac{2}{p}}+{\frac{3}{q}}=2-{\theta}$, 0 ≤ θ ≤ 1, then (u, w) is regular on (0, T].

REGULARITY CRITERIA FOR TERNARY INTERPOLATORY SUBDIVISION

  • JEON, MYUNGJIN;CHOI, GUNDON
    • Honam Mathematical Journal
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    • v.27 no.4
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    • pp.665-672
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    • 2005
  • By its simplicity and efficiency, subdivision is a widely used technique in computer graphics, computer aided design and data compression. In this paper we prove a regularity theorem for ternary interpolatory subdivision scheme that can be applied to non-stationary subdivision. This theorem converts the convergence of the limit curve of a ternary interpolatory subdivision to the analysis of the rate of the contraction of differences of the polygons.

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LOCAL REGULARITY CRITERIA OF THE NAVIER-STOKES EQUATIONS WITH SLIP BOUNDARY CONDITIONS

  • Bae, Hyeong-Ohk;Kang, Kyungkeun;Kim, Myeonghyeon
    • Journal of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.597-621
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    • 2016
  • We present regularity conditions for suitable weak solutions of the Navier-Stokes equations with slip boundary data near the curved boundary. To be more precise, we prove that suitable weak solutions become regular in a neighborhood boundary points, provided the scaled mixed norm $L^{p,q}_{x,t}$ with 3/p + 2/q = 2, $1{\leq}q$ < ${\infty}$ is sufficiently small in the neighborhood.

Comparison analysis of quality of life and exercise regularity in the possible sarcopenia group according to the criteria for sarcopenia diagnostic: using the 7th Korean National Health and Nutrition Examination Survey(2016~2018) (근감소 진단 기준에 따른 근력 저하 집단의 삶의 질과 유무산소 운동 실천율 비교 : 제7기(2016~2018) 국민건강영양조사 자료를 토대로)

  • Lee, Yong Soo;Kong, Sung A
    • Journal of Digital Convergence
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    • v.20 no.1
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    • pp.361-368
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    • 2022
  • In this study, the normal group and possible sarcopenia(PS) group were divided by the criteria for sarcopenia diagnostic based on the 7th period data of the National Health and Nutrition Examination Survey. An independent t-test and logistic regression was performed for the difference between the two groups. As a result, the PS group was older, and height, weight, and BMI were all lower. The waist circumference was significantly lower in men but significantly higher in women. According to the quality of life by domain, the frequency of impairment in daily activities in exercise capacity was 8.28 fold in men and 15.52 fold in women. In addition, aerobic exercise regularity was 19% and 26% lower in the PS, and strength exercise regularity was practiced was 52% and 43% lower.

A Study on Improvement of Aeronautical Study System for Potential Obstacles in the Vicinity of Aerodromes (공항 주변 잠재적 장애물에 대한 항공학적 검토 제도 개선 연구)

  • Lee, Daekyum;Yun, Seokjae;Park, Bomi;Kim, Jechul;Kim, Jun-Hyuk
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.29 no.4
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    • pp.166-172
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    • 2021
  • Obstacle Limitation Surfaces (OLS) are set to protect a certain amount of airspace to limit objects, such as building, other structures, penetrating OLS for safety and regularity of aircraft operations in the vicinity of aerodromes. However, many civil petitions have been raising for effective utilization of lands and permission of building construction which penetrating OLS. While Republic of Korea are limiting installation of penetrating objects based on the National law of airport facilities, such objects are possibly permitted, only if, the possible risks coming from objects are acceptable or negligible in terms of safety and regularity in aircraft operations through the evaluation process, called as an aeronautical study. However, many countries are currently applying their own criteria, processes resulting in failing secure reliable results in aeronautical study. This research aims to establish the framework on criteria, process, and methodologies how the aeronautical study works including work flows between many stakeholder and responsibilities to be specified in national regulation system.

Cognitive Shape Decomposition (인지적 형태 분할)

  • 김호성;박규호
    • Korean Journal of Cognitive Science
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    • v.1 no.2
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    • pp.317-346
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    • 1989
  • A congnitive shape decomposition method that agrees with human intuition is proposed for the conceptual recognition from sillouettes of objects. Descriptions specifying the structure of shape in terms of meaningful parts and relations have cognitive power and anthropomorphism. In general, man-made objects have a lot of collinear lines and regularity. For the cognitive decomposition of man-made objects, many heuristic rules based on the cognitive experimentation are applied on the context of collinerarity and regularity. The cognitive shape decomposition for the natural shape is carried out by analyzing the possible configuraitions of vertices and line segments for one concave vertex. A cost function for the configuation is designed by weighted sum of five criteria such as, the length of split line segment, the number of split line segments at concave vertex, the proximity of concave vertex, and the correspondence of vertices. These criteria are vased on the property of human perception such as proximtiy, symmetry, and simplicity. The most promising vertex os selected among three set of visible vertices by evaluating the cost function. A number of experiments conducted on the different types of shapes shows that the results correspond with human intuition.

Association between Dietary Habits and Self-rated Health According to Sasang Constitution (사상체질에 따른 식습관과 주관적 건강상태와의 연관성)

  • Jeong, Kyoungsik;Kim, Hoseok;Lee, Siwoo;Baek, Younghwa
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.34 no.1
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    • pp.53-59
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    • 2020
  • Dietary habits are known to be closely related not only to chronic diseases such as cardiovascular disease and diabetes, but also to self-rated health (SRH). Consequently, there is a highly important lifestyle component in maintaining a healthy life. The aim of the present study was to determine the correlation between diverse dietary habits based on the Sasang constitutions (SC) and SRH. The data were collected from 2,984 participants who met the constitution pharmacology criteria and whose SC were clinically confirmed by SC professionals. Dietary habits were observed by assessing the regularity of diet, meal volume, and meal speed; single-answer questions were used for SRH. Fisher's exact/chi-square test and logistic regression were used to analyze the correlation between dietary habits depending on constitutional type and SRH. In association with constitutional SRH, the Taeum type is related to the amount of meal, the Soeum and Soyang types are related to the regularity of meal and meal volume. In the Taeum type, there was a significantly higher risk of lower SRH when meal volumes were irregular less than previous amounts. Irregular diet, as well as increased or decreased meal volume, negatively correlated with SRH in the Soeum type; in the Soyang type, irregular diet and decreased or irregular meal volume negatively affected SRH. This showed the presence of the different effects of dietary habits on health depending on constitution and also confirmed the association of the regularity of diet and meal volume based on constitution and the frequency of bad dietary habits with SRH. We suggest that personalized healthcare with adequate dietary improvement considering constitution is needed for health management or improvement.

Effect of unani formulation in PCOS: A case report

  • Afifa Naaz
    • CELLMED
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    • v.14 no.2
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    • pp.5.1-5.4
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    • 2024
  • PCOS is the most common endocrine pathology in females of reproductive worldwide. The prevalence ranges between 5% and 15% depending on the diagnostic criteria applied.Its etiology involves both genetic and environmental factors. Typically, women with PCOS show clinical and biochemical hyperandrogenism, oligoanovulation, and micropolycystic morphology of the ovaries. Unani formulation containing Nankhwah, Badiyan and Wajturki possessing the properties of Mudirr-i-Bawl-o- Hayd, mujaff -iBalgham, Munaffis-i- balgham, Muhallil, Muqawwi-i-Jigar were used in the form of Joshanda 6gm BD Starting from 5 days prior to expected period date to 5 days during menses for 3 cycles, which led to regain regularity of menses, correcting the amount of flow and reducing the ovarian volume on US. Thus unani medications have the potential to treat ths symtoms of PCOS and improve the quality of life of women.