• 제목/요약/키워드: M-H curve

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STALE REDUCTIONS OF SINGULAR PLANE QUARTICS

  • Kang, Pyung-Lyun
    • 대한수학회논문집
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    • 제9권4호
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    • pp.905-915
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    • 1994
  • Let $M_g$ be the moduli space of isomorphism classes of genus g smooth curves. It is a quasi-projective variety of dimension 3g - 3, when $g > 2$. It is known that a complete subvariety of $M_g$ has dimension $< g-1 [D]$. In general it is not known whether this bound is rigid. For example, it is not known whether $M_4$ has a complete surface in it. But one knows that there is a complete curve through any given finite points [H]. Recently, an explicit example of a complete curve in moduli space is given in [G-H]. In [G-H] they constructed a complete curve of $M_3$ as an intersection of five hypersurfaces of the Satake compactification of $M_3$. One way to get a complete curve of $M_3$ is to find a complete one dimensional family $p : X \to B$ of plane quartics which gives a nontrivial morphism from the base space B to the moduli space $M_3$. This is because every non-hyperelliptic smooth curve of genus three can be realized as a nonsingular plane quartic and vice versa. This paper has come out from the effort to find such a complete family of plane quartics. Since nonsingular quartics form an affine space some fibers of p must be singular ones. In this paper, due to the semistable reduction theorem [M], we search singular plane quartics which can occur as singular fibers of the family above. We first list all distinct plane quartics in terms of singularities.

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양산천 수위-유량 관계곡선의 유도에 관한 연구 (A Study on Derivation of Rating Curve for Yangsan River)

  • 이용희;이상배
    • 한국항만학회지
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    • 제12권1호
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    • pp.131-143
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    • 1998
  • This paper presents derivation of stage-discharge curve for Yangsan river. To derivate of stage-discharge lationship is one of the essential research areas in the water resource field. It provides reliable data a long term planning and hydrologic quantity on water resource development by quantitative analysis. The rating curve derivated through 15 discharge-observation on Yangsan river basin in 1997 has been estimated Q=1283.0262-1553.3158H+477.2702H2. According to the rating curve, the highest water level 2.6m, the limited water-level should be bound to the maximum of 2.6m. Before this research, stage-discharge curve of Yangsan river has not been developed, and only 15 discharge observation(hydrometry) has been carried out though this research. Therefore it seems necessary to collect observation data through a long term process to obtain a reliable rating curve equation.

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Human Chorionic Gonadotropin (hCG) Regression Curve for Predicting Response to EMA/CO (Etoposide, Methotrexate, Actinomycin D, Cyclophosphamide and Vincristine) Regimen in Gestational Trophoblastic Neoplasia

  • Rattanaburi, Athithan;Boonyapipat, Sathana;Supasinth, Yuthasak
    • Asian Pacific Journal of Cancer Prevention
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    • 제16권12호
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    • pp.5037-5041
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    • 2015
  • Background: An hCG regression curve has been used to predict the natural history and response to chemotherapy in gestational trophoblastic disease. We constructed hCG regression curves in high-risk gestational trophoblastic neoplasia (GTN) treated with EMA/CO and identified an optimal hCG level to detect EMA/CO resistance in GTN. Materials and Methods: Eighty-one women with GTN treated with EMA/CO were classified as primary high-risk GTN (n = 65) and single agent-resistance GTN (n = 16). The hCG levels prior to each course of chemotherapy were plotted in the 10th, 50th, and 90th percentiles to construct the hCG regression curves. Diagnostic performance was evaluated for an optimal cut-off value. Results: The median hCG levels were 264,482 mIU/mL mIU/mL and 495.5 mIU/mL mIU/mL for primary high-risk GTN and single agent-resistance GTN, respectively. The 50th percentile of the hCG level in primary high-risk GTN and single agent-resistance turned to normal before the 4th and the 2nd course of chemotherapy, respectively. The 90th percentile of the hCG level in primary high-risk GTN and single agent-resistance turned to normal before the 9th and the 2nd course of chemotherapy, respectively. The hCG level of ${\geq}118.6mIU/mL$ mIU/mL at the 5thcourse of EMA/CO predicted the EMA/CO resistance in primary high-risk GTN patients with a sensitivity of 85.7% and a specificity of 100%. Conclusion: EMA/CO resistance in primary high-risk GTN can be predicted by using an hCG regression curve in combination with the cut-off value of 118.6 mIU/mL at the 5thcourse of chemotherapy.

베지어 곡선과 곡면의 립과 팬 (Ribs and Fans of $B\'{e}zier$ Curves and Surfaces)

  • 이주행;박형준
    • 한국CDE학회논문집
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    • 제11권4호
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    • pp.246-255
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    • 2006
  • Ribs and fans are interesting geometric entities that are derived from an ordinary $B\'{e}zier$ curve or surface. A rib itself is a $B\'{e}zier$ curve or surface with a lower degree than the given curve or surface. A fan is a vector field whose degree is also lower than its origin. First, we present methods to transform the control points of a $B\'{e}zier$ curve or surface into the control points and vectors of its ribs and fans. Then, we show that a $B\'{e}zier$ curve of degree n is decomposed into a rib of degree (n-1), a fan of degree (n-2), and a scalar function of degree 2. We also show that a $B\'{e}zier$ surface of degree (m, n) is decomposed into a rib of degree (m-1, n-1) and three fans of degrees (m-1, n-2), (m-2, n-1), and (m-2, n-2), respectively. In addition, the lengths of the fans are further controlled by scalar functions of degree 2 and (2, 2). We present relevant notations and definitions, introduce theories, and present some of design examples.

새로운 적분기를 이용한 모터 코어 특성시험 장치 (A new integrator based measuring system for testing motor core material)

  • 박영태;이진호;장석명;이성호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 A
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    • pp.61-63
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    • 1998
  • A B-H curve measuring system for testing softmagnetic materials was constructed. This system can measure the B-H curve in the low frequency(0.1 - 1 Hz) range. The drift of the integrator can be moderately removed by software technique. The advantages of the developed system are easier to measure B-H curve compared with conventional measuring system and low cost.

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자성분말의 보자력 분포도 측정방법과 그 응용 (Meauring Method of Magnetic Particles' Coercivity Distribution and Its Applications)

  • 홍양기;박상준;정홍식
    • 한국자기학회지
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    • 제5권3호
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    • pp.216-221
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    • 1995
  • 자성분말의 보자력$(H_{c})$과 보자력 분포도는 조성 이외의 제조공정인자에 크게 의존하는 값으로 자성분말 제조시 재현성을 결정하는 중요한 물성중의 하나이다. 자성분 말의 자기적 물성을 측정하는 VSM을 이용하여 쉽고 간단하게 보자력 분포도를 측정하는 방법과 그 응용예를 제시하였다. 보자력 분포도 측정은 magnetic hysteresis loop 의 dM/dH 대 H 곡선의 형태와 반치폭에서 얻을 수 있다. dM/dH 곡선 형태가 분리되는 것 없이 반치폭이 작아질수록 보자력 분포도는 더 균일해짐을 나타낸다. 보자력이 다 른 Ba-Ferrite와 ${\gamma}-Fe_{2}O_{3}$ 혼합물 중 Ba-Ferrite의 $H_{c}$가 높아질수록 dM/dH 대 H 곡선 형태는 peak broadening 후 peak splitting으로 나타나며, 이 peak splitting은 혼합자성분말의 $H_{c}$ 차이가 600 Oe 이상일 때 일어난다. 또한 dM/dH 대 H 곡선의 응용으로는 자성분말 보자력 분포도 측정, Ba-Ferrite 구조내로 dopants의 치환 능력 및 ${\alpha}-Fe$의 산화거동을 연구하는데 사용될 수 있다.

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ON (DISK, ANNULUS) PAIRS OF HEEGAARD SPLITTINGS THAT INTERSECT IN ONE POINT

  • Lee, Jung-Hoon
    • 대한수학회보
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    • 제46권1호
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    • pp.99-105
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    • 2009
  • Let $M=H_1{\cup}_SH_2$ be a Heegaard splitting of a 3-manifold M, D be an essential disk in $H_1$ and A be an essential annulus in $H_2$. Suppose D and A intersect in one point. First, we show that a Heegaard splitting admitting such a (D, A) pair satisfies the disjoint curve property, yet there are infinitely many examples of strongly irreducible Heegaard splittings with such (D, A) pairs. In the second half, we obtain another Heegaard splitting $M=H'_1{\cup}_{S'}H'_2$ by removing the neighborhood of A from $H_2$ and attaching it to $H_1$, and show that $M=H'_1{\cup}_{S'}H'_2$ also has a (D, A) pair with $|D{\cap}A|=1$.

디벤아민에 의한 무스카린 수용체 아형의 불활성화 (Inactivation of the Muscarinic Receptor Subtype by Dibenamine)

  • 이신웅;장태수
    • 약학회지
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    • 제39권6호
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    • pp.645-653
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    • 1995
  • Dibenamine inhibited [$^{3}$H]quinuclidinyl benzilate ([$^{3}$H]QNB) binding in both concentration and incubation time-dependent manners. The $IC_{50}$/ value of dibenamine for the inhibition of the specific binding of 100 pM [$^{3}$'H]QNB following incubation of cerebral microsomes with dibenamine at 37.deg. C for 15 min was 20.mu.M. Dibenamine irreversibly decreased the binding site concentration for [$^{3}$H]QNB binding without affecting the affinity of [$^{3}$H]QNB for the muscarinic receptor. Analysis of the pirenzepine inhibition curve of [$^{3}$H]QNB binding to cerebral microsomes indicated the presence of two receptor subtypes with high(M$_{1}$ receptor, Ki=5nM) and low (M$_{2}$ receptor, Ki=160nM) affinity for pirenzepine. However, dibenamine(20.mu.M) treatment under the condition employed in these experiments caused steepening of the pirenzepine competition curve. The Ki value for pirenzepine in dibenamine treated-microsomes was approximately 120nM. suggesting a selective decrease in the number of M$_{1}$ receptor. Although dibenamine also inhibited [$^{3}$H]QNB binding to ventricular microsomes with $IC_{50}$/ value of 120.mu.M, the sensitivity for dibenamine in the ventricle was much lower than that in the cerebrum. These results indicate that dibenamine at low concentrations welectively inactivates the muscarinic M$_{1}$ receptor.

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