• 제목/요약/키워드: B-measurable

검색결과 75건 처리시간 0.024초

AREA DISTORTION UNDER MEROMORPHIC MAPPINGS WITH NONZERO POLE HAVING QUASICONFORMAL EXTENSION

  • Bhowmik, Bappaditya;Satpati, Goutam
    • 대한수학회지
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    • 제56권2호
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    • pp.439-455
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    • 2019
  • Let ${\Sigma}_k(p)$ be the class of univalent meromorphic functions defined on the unit disc ${\mathbb{D}}$ with k-quasiconformal extension to the extended complex plane ${\hat{\mathbb{C}}}$, where $0{\leq}k<1$. Let ${\Sigma}^0_k(p)$ be the class of functions $f{\in}{\Sigma}_k(p)$ having expansion of the form $f(z)=1/(z-p)+{\sum_{n=1}^{\infty}}\;b_nz^n$ on ${\mathbb{D}}$. In this article, we obtain sharp area distortion and weighted area distortion inequalities for functions in ${\sum_{k}^{0}}(p)$. As a consequence of the obtained results, we present a sharp upper bound for the Hilbert transform of characteristic function of a Lebesgue measurable subset of ${\mathbb{D}}$.

ON NONLINEAR ELLIPTIC EQUATIONS WITH SINGULAR LOWER ORDER TERM

  • Marah, Amine;Redwane, Hicham
    • 대한수학회보
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    • 제58권2호
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    • pp.385-401
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    • 2021
  • We prove existence and regularity results of solutions for a class of nonlinear singular elliptic problems like $$\{-div\((a(x)+{\mid}u{\mid}^q){\nabla}u\)=\frac{f}{{\mid}u{\mid}^{\gamma}}{\text{ in }}{\Omega},\\{u=0\;on\;{\partial}{\Omega},$$ where Ω is a bounded open subset of ℝℕ(N ≥ 2), a(x) is a measurable nonnegative function, q, �� > 0 and the source f is a nonnegative (not identicaly zero) function belonging to Lm(Ω) for some m ≥ 1. Our results will depend on the summability of f and on the values of q, �� > 0.

Studies on the Quality Control of Insulin Radioimnunoassay Kit (I) -Pitfalls in Radioimmunoassay of Insulin-

  • Lee, Kyung-Hee;Awh, Ok-Doo;Kim, Jae-Rok
    • Nuclear Engineering and Technology
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    • 제10권4호
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    • pp.223-229
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    • 1978
  • 인슈린방사면역측정(IRIA)에서 흔히 목격하는 비정상적인 표준투여응답곡선 (standard dose response curve)을 정온유지 (incubation) 조건을 변화시킴으로써 해석 하였다. 그와 같은 이상(abnormality)의 원인은 두 반응물질간의 불안전한 평형에 있는 것으로 밝혀졌다. 인슈린측정용 혈청시료의 온도를 조절함으로써 혈청시료에 대한 B/F 값이 표준 곡선의 측정가능범위로부터 크게 벗어나는 원인을 조사할 수 있었다. 이들 두 실패요인은 주로 정온유지조건에 관계되었으므로 4$^{\circ}C$에서 48시간 실시하는 정온유지조건이 IRIA를 위하여 강조되었다.

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A GENERIC RESEARCH ON NONLINEAR NON-CONVOLUTION TYPE SINGULAR INTEGRAL OPERATORS

  • Uysal, Gumrah;Mishra, Vishnu Narayan;Guller, Ozge Ozalp;Ibikli, Ertan
    • Korean Journal of Mathematics
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    • 제24권3호
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    • pp.545-565
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    • 2016
  • In this paper, we present some general results on the pointwise convergence of the non-convolution type nonlinear singular integral operators in the following form: $$T_{\lambda}(f;x)={\large\int_{\Omega}}K_{\lambda}(t,x,f(t))dt,\;x{\in}{\Psi},\;{\lambda}{\in}{\Lambda}$$, where ${\Psi}$ = and ${\Omega}$ = stand for arbitrary closed, semi-closed or open bounded intervals in ${\mathbb{R}}$ or these set notations denote $\mathbb{R}$, and ${\Lambda}$ is a set of non-negative numbers, to the function $f{\in}L_{p,{\omega}}({\Omega})$, where $L_{p,{\omega}}({\Omega})$ denotes the space of all measurable functions f for which $\|{\frac{f}{\omega}}\|^p$ (1 ${\leq}$ p < ${\infty}$) is integrable on ${\Omega}$, and ${\omega}:{\mathbb{R}}{\rightarrow}\mathbb{R}^+$ is a weight function satisfying some conditions.

가용 에너지에 의한 열역학의 재구성 (II) - 실제세계 열역학 - (Reconstruction of Thermodynamics by the Concept of Available Energy (II) - Thermodynamics of Real World -)

  • 정평석
    • 대한기계학회논문집B
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    • 제28권12호
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    • pp.1573-1581
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    • 2004
  • Thermodynamic principles are described with a new point of view. In present study, the interaction between two systems is focused instead of the behavior of a system in conventional thermodynamics. The state change of a system cannot occur by itself but it is the result of the interaction between systems. However, the interaction itself is also the result of another kind of interaction, the interaction between two interactions. To reconstruct thermodynamics with such a point of view, the reversible world is imagined, in which conservations and measurements are discussed. There exists a conserved quantity for each mode of reversible interaction. The conserved transferring quantity in the interaction between interactions is the effective work, which is supposed to be measurable and conserved in reversible world. Effective work is the primary concepts of energy. It is the key factor to explain measurements, energy conservation and energy dissipation. The concepts developed in reversible world are applied to the real world in which irreversible phenomena may occur. Irreversibility is the result of effective energy dissipation, in which effective work irreversibly changes into entropy. A quantitative relation between the disappearing effective work and the generated entropy is dissipation equation which is given by experiments. A special temperature scale to give a very simple type of the dissipation equation is the absolute temperature scale, which gives the conventional conservation of energy.

중학생에 있어서 음양 기질의 안정성 (The Stability of Yin-Yang Temperament in Middle School Students)

  • 이수진;채한
    • 사상체질의학회지
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    • 제31권1호
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    • pp.94-101
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    • 2019
  • Objectives The Yin-Yang construct was shown to have stable internal reliability or consistency using Sasang Personality Questionnaire (SPQ) throughout the various ages, however the study of stability over specific period of time was only conducted using adults. The purpose of the study was to examine the stability across the time using middle school students whose physical and psychological characteristics were most rapidly changing. Methods The 122 middle school students (65 boys and 57 girls) completed the SPQ at 1st year and 2nd year with one-year time difference. Cronbach's ${\alpha}$ and Pearson's correlation analysis were employed in order to show the internal consistency and stability over one-year interval after considering sex difference. Results The internal consistency of SPQ-T, SPQ-B, SPQ-C, SPQ-E using Cronbach's ${\alpha}$ were .61, .72, .28, .28 in 2016 and .62, .72, .26, .46 in 2017. The one-year test-retest reliability of SPQ-T, SPQ-B, SPQ-C, SPQ-E using Pearson's correlation analysis were .56, .61, .31, .23 in boys and .58, .63, .64, .29 in girls. Conclusion The current study showed the stability of Yin-Yang temperament across the one-year time suggesting that the Yin-Yang temperament is quite stable and measurable concept and the SPQ would be considered as an objective and reliable personality assessment.

Mechanical Thrombectomy with Solitaire Stent Retrieval for Acute Cardioembolic Stroke

  • Han, Hokyun;Choi, Hyunho;Cho, Keun-Tae;Kim, Byong-Cheol
    • Journal of Korean Neurosurgical Society
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    • 제60권6호
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    • pp.627-634
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    • 2017
  • Objective : Few studies have reported the outcome of mechanical thrombectomy with Solitaire stent retrival (MTSR) in subtypes of acute ischemic stroke. The purpose of this study was to evaluate the efficacy and result of MTSR in acute cardioembolic stroke. Methods : Twenty consecutive patients with acute cardioembolic stroke were treated by MTSR. The angiographic outcome was assessed by thrombolysis in cerebral infarction (TICI) grade. TICI grade 2a, 2b, or 3 with a measurable thrombus that was retrieved was considered as a success when MTSR was performed in the site of primary vessel occlusion, and TICI grade 2b or 3 was considered as a success when final result was reported. Clinical and radiological results were compared between two groups divided on the basis of final results of MTSR. Persistent thrombus compression sign on angiogram was defined as a stenotic, tapered arterial lumen whenever temporary stenting was performed. The clinical outcomes were assessed by the modified Rankin Scale (mRS) at 3 months. Results : The failure rate of MTSR was 20% (4/20) and other modalities, such as permanent stenting, were needed. Final successful recanalization (TICI grade 2b or 3) was 80% when other treatments were included. The rate of good outcome ($mRS{\leq}2$) was 35% at the 3-month follow-up. Failure of MTSR was significantly correlated with persistent thrombus compression sign (p=0.001). Conclusion : Some cases of cardioembolic stroke are resistant to MTSR and may need other treatment modalities. Careful interpretation of angiogram may be helpful to the decision.

방사선 조사선량이 수지계 중성자 차폐재의 역학적 성질에 미치는 영향 (Effects of Radiation Dose on Mechanical Properties of Resin-Type Neutron Shielding Materials)

  • 조수행;홍순석;김환영;도재범;노성기
    • 공업화학
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    • 제8권1호
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    • pp.92-98
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    • 1997
  • 방사선 조사선량이 사용후 핵연료 수송용기 등에 사용되는 에폭시수지계 중성자 차폐재들의 인장강도, 압축강도, 굴곡강도, 비중, 무게 변화 및 수소함량 변화 등 역학적 성질에 미치는 영향을 검토하였다. 0.5MGy까지는 방사선 조사선량의 증가에 따라 KNS-115A, KNS-115B 및 KNS-115C(Kaeri Neutron Shield) 차폐재들의 인장강도, 압축강도 및 굴곡강도는 증가하는 경향을 나타냈으나, 0.5MGy 이상에서는 감소하는 경향을 나타내었다. 또한 조사선량의 증가에 따른 차폐재의 비중 및 무게는 크게 변하지 않는 것으로 나타났으나, 수소함량은 감소하는 경향을 나타내었다.

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Effects of Genetic Variants of κ-casein and β-lactoglobulin and Heat Treatment on Coagulating Properties of Milk

  • Choi, J.W.;Ng-Kwai-Hang, K.F.
    • Asian-Australasian Journal of Animal Sciences
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    • 제16권8호
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    • pp.1212-1217
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    • 2003
  • Fifty-two Holstein cows with different phenotypes of $\kappa$-casein ($\kappa$-CN) and $\beta$-lactoglobulin ($\beta$-LG) were selected to provide weekly milk samples for heating at 30, 70, 75 and $80^{\circ}C$ for 2 min. Coagulating properties of heated milk samples measured as rennet clotting time, rate of curd firming and curd firmness at cutting were determined by a Formagraph. Milk samples were analysed for fat and casein. Least squares analyses of data, after adjustments were made for effect of milk casein and fat contents, indicated that although an increase in heating temperatures resulted in less desirable coagulating properties, the effect of milk types was inherent irrespective of heating temperatures. The shortest rennet clotting time (6.06 min), fastest rate of curd firming (5.61 min) and firmest curd (38.05 mm) were obtained from milk with the B variant for $\kappa$-CN and B variant for $\beta$ -LG when preheated at $30^{\circ}C$. It appears that milk bearing $\kappa$-CN B is more resistant to heat perturbation. All milk samples having the $\kappa$-casein AA (milk types AA/AA, AA/AB, AA/BB) did not have a measurable K20 value when preheated at $70^{\circ}C$. This effect was observed for $\kappa$-casein AB (milk types AB/AA, AB/AB, AB/BB) at $75^{\circ}C$ and $\kappa$-casein BB (milk types BB/AA, BB/AB, BB/BB) at $80^{\circ}C$.

Comparison of Two Feather-Degrading Bacillus Licheniformis Strains

  • Lin, Xiang;Lee, Soo-Won;Bae, Hee Dong;Shelford, Jim A.;Cheng, Kuo-Joan
    • Asian-Australasian Journal of Animal Sciences
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    • 제14권12호
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    • pp.1769-1774
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    • 2001
  • Bacillus licheniformis strains L-25 and PWD-1 are two thermophilic feather-degrading bacteria. Despite isolated from different environmental conditions, they were both capable of breaking down chicken feathers and growing in a medium in which feather was the only source of carbon and nitrogen. A 1.46-kb keratinase gene (ker B) was isolated from strain L-25 by a polymerase chain reaction (PCR) using L-25 genomic DNA as templates. Sequencing results reveal that ker B shares great sequence identity with a previously published keratinase gene of B. licheniformis PWD-1 (ker A). Only two amino acids differences were found in the deduced amino acid sequence between the keratinases from L-25 and PWD-1. However several nucleotide changes were found upstream of the putative promoter region. Protease inhibition studies indicated that neutral protease activity accounted for approximate 25 to 30% of total extracellular proteolytic activity produced by strain L-25 in the feather medium. In contrast, no measurable neutral protease activity was produced by strain PWD-1 in the feather medium. When glucose (1%), a common catabolic repressor, was added into the feather medium, L-25 was still able to grow and produce keratinase. Strain PWD-1 produced no neutral protease activity and its growth was severely inhibited in the feather medium containing glucose. L-25 produced an enhanced level of keratinase in the feather medium in comparison with PWD-1.