• 제목/요약/키워드: F-X curve

검색결과 78건 처리시간 0.023초

TATE PAIRING COMPUTATION ON THE DIVISORS OF HYPERELLIPTIC CURVES OF GENUS 2

  • Lee, Eun-Jeong;Lee, Yoon-Jin
    • 대한수학회지
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    • 제45권4호
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    • pp.1057-1073
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    • 2008
  • We present an explicit Eta pairing approach for computing the Tate pairing on general divisors of hyperelliptic curves $H_d$ of genus 2, where $H_d\;:\;y^2+y=x^5+x^3+d$ is defined over ${\mathbb{F}}_{2^n}$ with d=0 or 1. We use the resultant for computing the Eta pairing on general divisors. Our method is very general in the sense that it can be used for general divisors, not only for degenerate divisors. In the pairing-based cryptography, the efficient pairing implementation on general divisors is significantly important because the decryption process definitely requires computing a pairing of general divisors.

LOXODROMES AND TRANSFORMATIONS IN PSEUDO-HERMITIAN GEOMETRY

  • Lee, Ji-Eun
    • 대한수학회논문집
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    • 제36권4호
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    • pp.817-827
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    • 2021
  • In this paper, we prove that a diffeomorphism f on a normal almost contact 3-manifold M is a CRL-transformation if and only if M is an α-Sasakian manifold. Moreover, we show that a CR-loxodrome in an α-Sasakian 3-manifold is a pseudo-Hermitian magnetic curve with a strength $q={\tilde{r}}{\eta}({\gamma}^{\prime})=(r+{\alpha}-t){\eta}({\gamma}^{\prime})$ for constant 𝜂(𝛄'). A non-geodesic CR-loxodrome is a non-Legendre slant helix. Next, we prove that let M be an α-Sasakian 3-manifold such that (∇YS)X = 0 for vector fields Y to be orthogonal to ξ, then the Ricci tensor 𝜌 satisfies 𝜌 = 2α2g. Moreover, using the CRL-transformation $\tilde{\nabla}^t$ we fine the pseudo-Hermitian curvature $\tilde{R}$, the pseudo-Ricci tensor $\tilde{\rho}$ and the torsion tensor field $\tilde{T}^t(\tilde{S}X,Y)$.

디지털방사선촬영술을 이용한 합착용 시멘트의 방사선불투과성 평가 (Evaluation of the Radiopacity of Contemporary Luting Cements by Digital Radiography)

  • 안서영;이두형;이규복
    • 구강회복응용과학지
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    • 제29권4호
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    • pp.377-383
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    • 2013
  • 이 연구의 목적은 치과임상에서 사용되는 8종의 합착용 시멘트의 방사선불투과성을 디지털 방사선 촬영술로 평가하는 것이었다. BisCem, Clearfil SA Luting, Duolink, Maxcem Elite, Multilink Speed, Panavia F 2.0, RelyX Unicem Clicker, V-link의 8종의 재료를 5개의 원형 시편 (직경: 4 mm, 두께: 1 mm)으로 제작하였고 사람 치아의 법랑질과 상아질 시편을 1 mm 두께로 준비하여 알루미늄 스텝 웨지와 함께 촬영하였다. 관전압 70kVP, 관전류 4 mA, 노출시간 0.156초, 초첨 필름간 거리는 30 cm으로 영상판을 이용하여 촬영하였으며, ImageJ 소프트웨어를 이용하여 평균 회색조 수치를 측정하고, 이를 흡수계수로 환산한 후 검량선(calibration curve)을 이용하여 각 합착용 시멘트의 등가 알루미늄 두께를 구하였다. 합착용 시멘트의 평균 방사선불투과성은 알루미늄 두께 0.71 ~ 5.66 mm로, RelyX Unicem Clicker (0.71 mm Al)을 제외하고는 등가 알루미늄 두께 보다 높은 방사선불투과성을 보여 ISO 규격을 만족하였으며, 법랑질은 1.79 mm, 상아질은 0.19 mm 두께의 알루미늄에 해당하는 방사선불투과성을 나타내었다.

Real-Time PCR을 이용한 신선편이 양배추에서 Salmonella spp.의 신속검출 (Rapid Detection of Salmonella spp. in Fresh-Cut Cabbage by Real-Time PCR)

  • 방미경;박승주;김윤지;김지강;오세욱
    • 한국식품영양과학회지
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    • 제39권10호
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    • pp.1522-1527
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    • 2010
  • 식품에 극소량 존재하는 Salmonella spp.를 real-time PCR로 검출 시 필요한 최소시간을 구하고자 하였다. Sal-F, Sal-R 서열이 primer로 사용되었으며 sal-P 서열이 probe로 사용되었다. BPW에서 산출된 검출한계는 $3.77{\times}10^2\;cfu/mL$로 측정되었다. BPW에 인위적으로 Salmonella spp.를 접종하였으며 성장곡선을 구하였다. 성장곡선은 y=$0.0127x^2$+0.5927x-0.4317($R^2$=0.99) 식을 나타내었다. 25 g 시료에 1 cell의 Salmonella spp.가 존재한다고 가정할 경우, 시료처리 과정에서 10배로 희석되므로 초기 균 농도는 0.004 cfu/mL 이며 이 농도에서 검출한계까지의 균수 증가가 발생해야 real-time PCR로 검출이 가능할 것으로 판단되었다. 성장곡선에서 균수 증가에 필요한 시간을 측정해 본 결과 7시간20분으로 산출되었으며 따라서 PCR 수행시간을 포함하여 10시간이면 검출이 가능함을 알 수 있었다. 식품에서의 실증실험을 위하여 시중에서 판매되고 있는 신선편이 양배추를 구하여 25 g에 1~10 cfu의 수준으로 S. Typhimurium을 인위접종한 후 real-time PCR 방법과 식품공전방법으로 검출하였을 때 두 방법 모두 동일하게 30개중 29개 시료에 대하여 음성을 나타내었다.

The Equilibrium between Dilatant and Thixotropic Flow Units

  • 방정환;김남정;최상원;김응렬;한상준
    • Bulletin of the Korean Chemical Society
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    • 제17권3호
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    • pp.262-268
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    • 1996
  • Flow properties of all suspensions are controlled by their flow units. The factors effecting on the flow units are the characteristics of the particle itself (surface properties, particle sizes, particle shapes and etc.), the electrostatic interactions among the particles and the influences of the medium in the suspensions. Here, we studied the transition between the flow units with shear rate which can be added to the above factors. For the concentrated starch-water suspensions, by using the Couette type rotational viscometer, we confirmed that at low shear rate, dilatancy is appeared, but it is transformed to thixotropy with increasing shear rate. In order to explain this fact, we derived the following flow equation, representing the transition from dilatancy to thixotropy with shear rate, by assuming the equilibrium between the flow units. f = X1β1s./α1 + 1/(1+Kexp(c0s.2/RT))((1-X1)/α2)sinh-1{(β2)0 s. exp(c2s.2/RT)} + K exp(c0s.2/RT)/(1+K exp(c0s.2/RT))((1-X1)/α3)sinh-1{(β3)0 s. exp(-c3s.2/RT)} By applying this flow equation to the experimental flow curves for the concentrated starch-water suspensions, the flow parameters were obtained. And, by substituting the obtained flow parameters to the flow equation, the theoretical flow curves were reproduced. Also, Ostwald curve was represented by applying the flow equation, and the applicability for stress relaxation was discussed.

Diffusion-Weighted Imaging for Differentiation of Biliary Atresia and Grading of Hepatic Fibrosis in Infants with Cholestasis

  • Jisoo Kim;Hyun Joo Shin;Haesung Yoon;Seok Joo Han;Hong Koh;Myung-Joon Kim;Mi-Jung Lee
    • Korean Journal of Radiology
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    • 제22권2호
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    • pp.253-262
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    • 2021
  • Objective: To determine whether the values of hepatic apparent diffusion coefficient (ADC) can differentiate biliary atresia (BA) from non-BA or be correlated with the grade of hepatic fibrosis in infants with cholestasis. Materials and Methods: This retrospective cohort study included infants who received liver MRI examinations to evaluate cholestasis from July 2009 to October 2017. Liver ADC, ADC ratio of liver/spleen, aspartate aminotransferase to platelet ratio index (APRI), and spleen size were compared between the BA and non-BA groups. The diagnostic performances of all parameters for significant fibrosis (F3-4) were obtained by receiver-operating characteristics (ROCs) curve analysis. Results: Altogether, 227 infants (98 males and 129 females, mean age = 57.2 ± 36.3 days) including 125 BA patients were analyzed. The absolute ADC difference between two reviewers was 0.10 mm2/s for both liver and spleen. Liver ADC value was specific (80.4%) and ADC ratio was sensitive (88.0%) for the diagnosis of BA with comparable performance. There were 33 patients with F0, 15 with F1, 71 with F2, 35 with F3, and 11 with F4. All four parameters of APRI (τ = 0.296), spleen size (τ = 0.312), liver ADC (τ = -0.206), and ADC ratio (τ = -0.288) showed significant correlation with fibrosis grade (all, p < 0.001). The cutoff values for significant fibrosis (F3-4) were 0.783 for APRI (area under the ROC curve [AUC], 0.721), 5.9 cm for spleen size (AUC, 0.719), 1.044 x 10-3 mm2/s for liver ADC (AUC, 0.673), and 1.22 for ADC ratio (AUC, 0.651). Conclusion: Liver ADC values and ADC ratio of liver/spleen showed limited additional diagnostic performance for differentiating BA from non-BA and predicting significant hepatic fibrosis in infants with cholestasis.

양송이의 균사생장(菌絲生長) 및 자실체(子寶體) 수량(收量)에 미치는 복토재료(覆土材料)의 이화학적(理化學的) 성질(性質)에 관(關)한 연구(硏究) (Studies on the Physico-Chemical Characteristics of Different Casing Materials Affecting Mycelial Growth and Yield of Cultivated Mushroom, Agaricus bisporus (Lange) Sing.)

  • 김동수
    • 한국균학회지
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    • 제3권1호
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    • pp.1-19
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    • 1975
  • Since the importance of casing in fruit body formation of Agaricus bisporus has been emphasized, physico-chemical characteristics of casing materials were discussed by many workers and a mixture of peat and mineral soil as proper casing material has been adopted in many of mushroom growing countries. Because of limited resources of peat in Korea, it is necessary to find practical performance and substitutional materials for casing. The effect of casing on mycelial growth and mushroom yield of A. bisporus varied with materials, its combination and practices etc. The experiments to be discussed in this paper are concerned with pH and Ca of casing material which influence A bisporus, and changes of physico-chemical characteristics with mixing ratio of casing materials and its effect on A. bisporus. The optimum range of moisture content of each material, management of watering and application of physico-chemical characteristics casing materials was also investigated and re-use of weathered spent compost for casing material was described. 1. The effect of calcium on mycelial growth of A. bisporus at various pH in Halbschalentest showed different results with calcium sources. Best results were obtained around neutrality and fresh weight of fruit bodies grown in the range of pH 7 to 8 was highest among the tested levels. 2. Available moisture, pore space, organic matter, cation exchangeable capacity and exchangeable cation was increased by an increase of mixing ratio of peat in casing materials, while an adverse effect was obtained by addition of sand. 3. Mycelial growth on clay loam was more rapid at a lower bulk density of 0.75g/cc and at 20% moisture content on a dry weight basis at the same bulk density. 4. Mixing ratio of casing materials, 60 to 80 per cent by volume of peat mixed with 20 to 40 per cent of clay loam produced the highest yield of fresh fruit bodies and sand the lowest. However, per cent of open cap was highest in peat and lowest in sand. 5. Days required for fruit body initiation was shortened in mixtures of peat and clay loam by one to three days compared with other materials and the formation of flushes was clear. 6. The effect of some physico-chemical characteristics of casing materials on the fresh weight of fruit bodies were estimated by a multiple regression equation; Y=-923.86+$8.18X_1+8.04X_2+7.90X_3+0.12X_4+2.03X_5-0.82X_6-0.54X_7$ where $X_1,X_2,X_3,X_4,X_5,X_6,X_7$ are sand, silt, clay, available moistuer, porosity, organic matter and exchangeable cation respectively. The productivity of certain casing material could be predicted from this equation. 7. Fresh weight of fruit bodies was positively correlated with porosity exchangeable cation, organic matter, available moisture, silt and clay of materials; while sand was negatively correlated. On the contrary, sand was the unique factor reducing per cent of open cap. 8. Distribution of three phases of high productive casing material was concentrated in the range of 10 to 30 per cent solids, 15 to 30 per cent liquids, and 50 to 60 per cent in air volume. 9. Fresh weight of fruit bodies from peat was not affected with heavy watering but in clay loam and sandy loam severe crop losses occurred. Fresh weight of individual fruit was increased and open caps were decreased with heavy watering but light watering resulted in adverse effects: its effect was especially great in peat. 10. Optimum range of moisture content by weight on a dry basis was different with each casing material. To maintain optimum moisture content concerned with yield of fruit bodies and open cap, sandy loam and peat mixtures required daily watering of 0.6, 0.6 to 1. 2 and 1.2 to 2.4 liters per $3.3m^2$ of bed area, respectively. 11. Maximum yield of fruit body was recorded in the range of pF 2. 0 to 2. 5 of casing materials if organic matter content was below 4.2 per cent and in pF 1. 3 to 1.8 if above 7.1%. 12. pF curve of a certain casing material could be draws from moisture content at various pF values by multiple regression equations provided texture, organic matter and calcium of the casing material are given. Optimum moisture range of the casing materials also could be estimated by the equation. 13. It was possible to improve the phyico-chemical characteristics of clay loam and sandy loam by addition of weathered spent compost although the effect was less than in the case of peat. Fresh weight of fruit bodies wsa increased by addition of weathered spent compost but its effect was not as remarkable as peat. Accordingly, further studies will be required.

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강수빈도 및 강우강도의 시공적 분포분석에 관한 연구 (A Study on the Analysis of Time-Regional Distribution of PRecipitation Frequency and Rainfall INternsity in Korea.)

  • 이재준;손광익
    • 물과 미래
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    • 제14권4호
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    • pp.53-72
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    • 1981
  • 본 연구는 우리나라의 강수빈도 및 강우강도의 시간적. 공간적 분포분석에 관한 것으로 전국을 5개의 권역으로 나누어 분석을 실시하였다. 강수빈도 해석은 39개 지점을 대상지점으로, 강우강도 해석은 36개 지점을 대상지점으로 하여 강수빈도 분포도의 작성과 강수빈도 분포의 시간적, 공간적인 해석 고찰, 각 지점 및 권역별 확률 강우량과 강우 강도식 및 각 강우기간별 회귀직선식을 유도, 제시하였다. 본 연구의 결과는 다음과 같다. (1) 각 권역내의 최다발생빈도 강수량 계급은 여름철을 제외한 모든 기간이 공히 1) 1~5mm, 2) 0.1~1.0mm, 3) 5~10mm 순이었다. (2) 강수량 계급에 따른 최다발생빈도 권역은 연간 20mm 이하의 강수빈도는 II 권역, 30~40mm의 강수빈도는 IV권역, 70mm 이상의 강수빈도는 I권역이었다. (3) 우리나라 전역에 있어서 강수량의 생기확률은 지수함수의 식으로 대표할 수 있음을 알았다.($W(x)=e^{\alpha+\beta}$) (4) 전국의 5개 권역 중 I권역은 자시간 지속, III권역은 단전간 지속 집중 호우지역으로 판단되었다. (5) 강우형태는 10분~40분, 40분~4시간, 4시간~24시간으로 크게 나눌 수 있었으며, 이들 구간에 대해 지점별 확률 강우 강도식을 유도하였다. (6) 각 권역별로 25시간과 10분~18시간 지속시간과의 강우량 상관식을 유도, 도시하였다. (7) 36개 지점에 대한 확률 강우량을 제시하였다.

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Hot Wall Epitaxy(HWE) 방법에 의한 $CuInTe_2$ 단결정 박막 성장과 특성에 관한 연구 (Growth and Characterization of $CuInTe_2$ Single Crystal thin Films by Hot Wall Epitaxy)

  • 홍광준;이관교;이상열;유상하;정준우;정경아;백형원;방진주;신영진
    • 한국결정학회지
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    • 제11권4호
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    • pp.212-223
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    • 2000
  • A stochiometric mix of CuInTe₂ polycrystal was prepared in a honizonatal furnace. To obtain the single crystal thin films, CuInTe₂ mixed crystal was deposited on throughly etched GaAs(100) by the HWE system. The source and substrate temperatures were 610℃ and 450℃ respectively, and the thickness of the deposited single crystal thin film was 2.4㎛. CuInTe₂ single crystal thin film was proved to be the optimal growth condition when the excition emission spectrum was the strongest at 1085.3 nm(1.1424 eV) of photoluminescence spectrum at 10 K, and also FWHM of Double Crystal X-ray Rocking Curve (DCRC) was the smallest, 129 arcsec. The Hall effect on this sample was measured by the method of Van der Pauw, and the carrier density and mobility dependent on temperature were 9.57x10/sup 22/ electron/㎥, 1.31x10/sup -2/㎡/V·s at 293 K, respectively. The ΔCr(Crystal field splitting) and the ΔSo (spin orbit coupling splitting( measured at f10K from the photocurrent peaks in the short wavelength of the CuInTe₂ single crystal thin film were about 0.1200 eV, 0.2833 eV respectively. From the PL spectra of CuInTe₂ single crystal thin film at 10 K, the free exciton (E/sub x/) was determined to be 1064.5 nm(1.1647 eV) and the donor-bound exciton(D/sup 0/, X) and acceptor-bound exciton (A/sup 0/, X) were determined to be 1085.3 nm(1.1424 eV) and 1096.8 nm(1.1304 eV0 respectively. And also, the donor-acciptor pair (DAP)P/sub 0/, DAP-replica P₁, DAP-replica P₂ and self-activated (SA) were determined to be 1131 nm (1.0962 eV), 1164 nm(1.0651 eV), 1191.1 nm(1.0340 eV) and 1618.1 nm (0.7662 eV), respectively.

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Tb3+ 이온이 첨가된 NaCa(PO3)3 형광체의 형광특성 (Optical spectroscopy of Tb3+ ions doped NaCa(PO3)3 phosphors)

  • 윤창용
    • 한국방사선학회논문지
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    • 제12권4호
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    • pp.451-457
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    • 2018
  • $Tb^{3+}$ 이온이 첨가 된 $NaCa(PO_3)_3$ 형광체의 여기 및 방출 스펙트럼 및 레이저 분광 측정을 통하여 형광특성을 조사 하였다. 고상법으로 $NaCa(PO_3)_3:Tb^{3+}$ 형광체를 합성하였다. X선 회절측정(XRD)을 사용하여 형광체의 결정 구조 및 결정성을 분석하여 $Tb^{3+}$ 이온이 30 mol%까지 첨가되어도 형광체의 결정구조가 $NaCa(PO_3)_3$의 결정상을 유지하였다. $NaCa(PO_3)_3:Tb^{3+}$(0.01 - 30mol %)형광체의 여기 및 방출 스펙트럼과 형광의 감쇠곡선을 상온에서 측정 하였다. $NaCa(PO_3)_3:Tb^{3+}$의 여기 스펙트럼에서 205 ~ 245 nm 영역에서 넓은 $Tb^{3+}$의 4f - 5d 전이에 의한 f - d 밴드가 나타났다. $NaCa(PO_3)_3:Tb^{3+}$의 방출 스펙트럼에서 $^5D_4{\rightarrow}^7F_J$ 전이에 의한 강한 피크와 $^5D_3{\rightarrow}^7F_J$ 전이에 약한 피크가 관찰 되었다. 방출 스펙트럼의 형광 강도와 형광의 수명시간 분석을 통하여 $Tb^{3+}$ 이온 사이의 에너지 전이 및 교차 이완이 확인되었다.