• 제목/요약/키워드: N-values

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HERMITE-TYPE EXPONENTIALLY FITTED INTERPOLATION FORMULAS USING THREE UNEQUALLY SPACED NODES

  • Kim, Kyung Joong
    • 대한수학회논문집
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    • 제37권1호
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    • pp.303-326
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    • 2022
  • Our aim is to construct Hermite-type exponentially fitted interpolation formulas that use not only the pointwise values of an 𝜔-dependent function f but also the values of its first derivative at three unequally spaced nodes. The function f is of the form, f(x) = g1(x) cos(𝜔x) + g2(x) sin(𝜔x), x ∈ [a, b], where g1 and g2 are smooth enough to be well approximated by polynomials. To achieve such an aim, we first present Hermite-type exponentially fitted interpolation formulas IN built on the foundation using N unequally spaced nodes. Then the coefficients of IN are determined by solving a linear system, and some of the properties of these coefficients are obtained. When N is 2 or 3, some results are obtained with respect to the determinant of the coefficient matrix of the linear system which is associated with IN. For N = 3, the errors for IN are approached theoretically and they are compared numerically with the errors for other interpolation formulas.

Clinical implications in laboratory parameter values in acute Kawasaki disease for early diagnosis and proper treatment

  • Seo, Yu-Mi;Kang, Hyun-Mi;Lee, Sung-Churl;Yu, Jae-Won;Kil, Hong-Ryang;Rhim, Jung-Woo;Han, Ji-Whan;Lee, Kyung-Yil
    • Clinical and Experimental Pediatrics
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    • 제61권5호
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    • pp.160-166
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    • 2018
  • Purpose: This study aimed to analyse laboratory values according to fever duration, and evaluate the relationship across these values during the acute phase of Kawasaki disease (KD) to aid in the early diagnosis for early-presenting KD and incomplete KD patients. Methods: Clinical and laboratory data of patients with KD (n=615) were evaluated according to duration of fever at presentation, and were compared between patients with and without coronary artery lesions (CALs). For evaluation of the relationships across laboratory indices, patients with a fever duration of 5 days or 6 days were used (n=204). Results: The mean fever duration was $6.6{\pm}2.3days$, and the proportions of patients with CALs was 19.3% (n=114). C-reactive proteins (CRPs) and neutrophil differential values were highest and hemoglobin, albumin, and lymphocyte differential values were lowest in the 6-day group. Patients with CALs had longer total fever duration, higher CRP and neutrophil differential values and lower hemoglobin and albumin values compared to patients without CALs. CRP, albumin, neutrophil differential, and hemoglobin values at the peak inflammation stage of KD showed positive or negative correlations each other. Conclusion: The severity of systemic inflammation in KD was reflected in the laboratory values including CRP, neutrophil differential, albumin, and hemoglobin. Observing changes in these laboratory parameters by repeated examinations prior to the peak of inflammation in acute KD may aid in diagnosis of early-presenting KD patients.

Application of Flory-Treszczanowicz-Benson model and Prigogine-Flory-Patterson theory to Excess Molar Volume of Binary Mixtures of Ethanol with Diisopropyl Ether, Cyclohexane and Alkanes (C6-C9)

  • Kashyap, Pinki;Rani, Manju;Tiwari, Dinesh Pratap;Park, So-Jin
    • Korean Chemical Engineering Research
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    • 제58권2호
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    • pp.257-265
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    • 2020
  • Densities (ρ) for binary mixtures of ethanol (1) + diisopropyl ether (DIPE) or cyclohexane or alkane (C6-C9) (2) were measured at 298.15 K, 308.15 K and 318.15 K. The excess molar volume (VEm) of binary mixtures was calculated using ρ data and correlated with Redlich-Kister polynomial equation. The VEm values for binary mixtures of ethanol (1) + cyclohexane or n-alkane (C6-C9) (2) were positive, whereas for ethanol (1) + DIPE (2) these were negative. The magnitude of VEm values follows the order: cyclohexane > n-nonane > n-octane > n-heptane > n-hexane > DIPE. The VEm values have been interpreted qualitatively and also quantitatively in terms of Flory-Treszczanowicz-Benson (FTB) model and Prigogine-Flory-Patterson (PFP) theory. The values VEm predicted using FTB model agree well with experimental VEm values at all mole fractions. But the PFP theory describes well VEm data in ethanol-rich region (x1 > 0.5) for all binary mixtures and is able to predict the sign of VEm vs x1 curve for ethanol-lean region (x1 < 0.5) except for ethanol (1) + nonane (2) mixtures.

Effect of pH on Rheological Properties of Dysphagia-Oriented Thickened Water

  • Yoon, Seung-No;Yoo, Byoungseung
    • Preventive Nutrition and Food Science
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    • 제21권1호
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    • pp.73-77
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    • 2016
  • Flow and dynamic rheological properties of thickened waters prepared with commercial food thickeners were investigated at different pH levels (3, 4, 5, 6, and 7). The commercial xanthan gum (XG)-based thickener (thickener A) and starch-based thickener (thickener B), which have been commonly used in a domestic hospital and nursing home for patients with swallowing difficulty (dysphagia) in Korea, were selected in this study. Thickened samples with both thickeners at different pH levels showed high shear-thinning flow behaviors (n=0.08~0.22). Thickened samples at pH 3 showed higher n values and lower consistency index (K) values when compared to those at other pH levels. The K values of thickener A increased with an increase in pH level, while the n values decreased, showing that the flow properties greatly depended on pH. There were no noticeable changes in the K values of thickener B between pH 4 and 7. At pH 3, the thickened water with thickener A showed a higher storage modulus (G') value, while that with thickener B showed a lower G'. These rheological parameters exhibited differences in rheological behaviors between XG-based and starch-based thickeners, indicating that the rheological properties of thickened waters appear to be greatly influenced by the acidic condition and the type of food thickener. Appropriately selecting a commercial food thickener seems to be greatly important for the preparation of thickened acidic fluids with desirable rheological properties for safe swallowing.

초기파손율과 성장계수에 따른 상수관 개량모델의 민감도 분석 (Sensitivity Analysis of Pipeline Rehabilitation Model According to Initial Year Break Rate and Growth Rate Coefficient)

  • 정원식;김이태
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2005년도 학술발표회 논문집
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    • pp.1302-1306
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    • 2005
  • This study has Performed to develop rehabilitation model for determination of optimal rehabilitation time on the Cast Iron Pipes (CIP) with diameter less than 300 mm in water pipeline network and to analysis the sensitivity on the rehabilitation times of developed model. In the result from the application of the field, the renovation time was faster about 10 years than the replacement time. Especially, as the difference between rehabilitation and replacement time on E-CIP was about from 3 to 5 years, and it was thought that the replacement was effective on E-CIP. To sensitivity analysis, the discount rate of coefficient was fixed at 0.08, and the values of initial year break rate(N($t_o$) and growth rate coefficient(A) were adjusted in values of 0.0009, 0.0018, 0.0027, and 0.05, 0.10, 0.15 respectively. When the values of N($t_o$) and A was increased, the results from the time of rehabilitation and replacement was faster It was thought that N($t_o$), 0.018 was reliable values on the applied pipeline through the result of the study. In case of A, the values of A above 0.1 was thought to be Proper.

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남극해 드레이크해협 해수의 질산염 농도와 질소동위원소 값의 변화 (Variation of Nitrate Concentrations and δ15N Values of Seawater in the Drake Passage, Antarctic Ocean)

  • 장양희;김부근;신형철;;;홍창수
    • Ocean and Polar Research
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    • 제30권4호
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    • pp.407-418
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    • 2008
  • Seawater samples were collected at discrete depths from five stations across the polar front in the Drake Passage (Antarctic Ocean) by the $20^{th}$ Korea Antarctic Research Program in December, 2006. Nitrate concentrations of seawater increase with depth within the photic zone above the depth of Upper Circumpolar Deep Water (UCDW). In contrast, ${\delta}^{15}N$ values of seawater nitrate decrease with depth, showing a mirror image to the nitrate variation. Such a distinct vertical variation is mainly attributed to the degree of nitrate assimilation by phytoplankton as well as organic matter degradation of sinking particles within the surface layer. The preferential $^{14}{NO_3}^-$ assimilation by the phytoplankton causes $^{15}{NO_3}^-$ concentration to become high in a closedsystem surface-water environment during the primary production, whereas more $^{14}{NO_3}^-$ is added to the seawater during the degradation of sinking organic particles. The water-mass mixing seems to play an important role in the alteration of ${\delta}^{15}N$ values in the deep layer below the UCDW. Across the polar front, nitrate concentrations of surface seawater decrease and corresponding ${\delta}^{15}N$ values increase northward, which is likely due to the degree of nitrate utilization during the primary production. Based on the Rayleigh model, the calculated ${\varepsilon}$ (isotope effect of nitrate uptake) values between 4.0%o and 5.8%o were validated by the previously reported data, although the preformed ${\delta}^{15}{{NO_3}^-}_{initial}$ value of UCDW is important in the calculation of ${\varepsilon}$ values.

주관절 굴곡각도에 의한 집는 힘의 생체 역학적 분석 (Analysis of Biomechanics for Pinch Strength due to Elbow Flexion Degree)

  • 노태환;권은화;박은은;이행은
    • 대한물리의학회지
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    • 제4권4호
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    • pp.275-280
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    • 2009
  • Purpose:We have investigated to analysis biomechanics for pinch strength due to elbow flexion degree. Methods:Pinch strength was measured by Electro Dynamometer(G-100) using four elbow flexion degree ($0^{\circ}$, $45^{\circ}$, $90^{\circ}$, $135^{\circ}$). Results:In experimental results, we found that pinch strengths were 5.4kg($0^{\circ}$), 4.8kg($45^{\circ}$), 5.6kg($90^{\circ}$) and 5.2kg($135^{\circ}$), respectively. The Pinch strengths got maximum at $90^{\circ}$ degree, minimum at $45^{\circ}$ degree. We have calculated F1 values using $\sum$T=0. As a result F1 values were 540N($0^{\circ}$), 480N($45^{\circ}$), 560N($90^{\circ}$) and 520N($135^{\circ}$), respectively. F1 values got maximum at $90^{\circ}$ degree, minimum at $45^{\circ}$ degree. Data curve line of $F_1$ values was increased in 45~90 section and decreased in 0~45, 90~135 sections, respectively. Conclusion:$F_1$ (Flexor digitorum superficialis and profundus) values were 10 times bigger than pinch strengths. Data curve line of $F_1$ values was similar to active length-tension curve in 45~90, 90~135 sections.

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고압하에서 염화벤질의 가용매분해반응에 대한 속도론적 연구 (A Kinetic Study on the Solvolysis of Benzyl Chloride under High Pressure)

  • 권오천;경진범
    • 대한화학회지
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    • 제31권3호
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    • pp.207-214
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    • 1987
  • 염화벤질의 가용매분해반응에 대한 속도를 $1{\sim}1600bar$ 압력범위까지 변화시켜 가면서 온도 30 및 $40^{\circ}C$에서 측정하였다. In k대 압력의 실험결과는 압력에 따라 이차함수형으로 변화하였으며, 이로부터 활성화부피(${\Delta}V^{\neq}$)와 활성화 압축율(${\Delta}{\beta}^{\neq}$)의 값을 얻었다. In k를 용매파라미터($Q_w$) 및 ln $C_w$의 함수로 도시한 결과 이들 사이의 관계는 본 연구의 반응이 $S_N$1메카니즘으로 진행됨을 나타내었다. 이 전에 연구된 결과들과 비교한 결과 ${\mid}{{\Delta}V_0}^{\neq}{\mid}$와 n 값의 증가 순은 각각 p-Cl>p-H>p-$CH_3\;와\;p-$CH_3>p-H>p-Cl$이었다. 이로부터 $p-CH_3$ 치환체는 $S_N1(1)$ 성격이 강하며, 반면 p-Cl는 ${S_N}1(2)$ 성격이 나타남을 알았다.

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탄소/에폭시 복합재판의 압축강도 두께효과에 대한 연구 (Thickness Effect on the Compressive Strength of T800/924C Carbon Fibre-Epoxy Laminates)

  • 공창덕;이정한
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 춘계학술발표대회 논문집
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    • pp.173-177
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    • 2004
  • In this study, the effect of laminate thickness on the compressive behaviour of composite materials was investigated through systematic experimental work using the stacking sequences, [04]ns, [45/0/-45/90]ns and [45n/0n/-45n/90n]s (n = 2 to 8). The stacking sequence effects on failure strength of multidirectional laminates were examined. For this purpose, two different scaling techniques were used; (1) ply-level technique [45n/0n/-45n/90n]s and (2) sub laminate level technique [45/0/-45/90]ns. An apparent thickness effect existed in the lay-up with blocked plies, i.e. unidirectional specimens $([0_4]ns)$ and ply-level scaled multidirectional specimens ([45n/0n/-45n/90n]s). From the investigation of the stacking sequence effect, the strength values obtained from the sub laminate level scaled specimens were slightly higher than those obtained from the ply level scaled specimens. The measured failure strengths were compared with the predicted values

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BIOMECHANICS OF ABUTMENTS SUPPORTING REMOVABLE PARTIAL DENTURES UNDER UNILATERAL LOADING

  • Kim, Seong-Kyun;Heo, Seong-Joo;Koak, Jai-Young;Lee, Jeong-Taek;Roh, Hyun-Ki;Kim, Hyo-Jin;Lee, Seok-Hyung;Lee, Joo-Hee
    • 대한치과보철학회지
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    • 제45권6호
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    • pp.753-759
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    • 2007
  • Statement of problem. In distal extension removable partial denture, the preservation of health of abutment teeth is very important, but abutment teeth are subjected to unfavorable stress under unilateral loading specially. Purpose. The purpose of this study was to investigate the biomechanical effects of mandibular removable partial dentures with various prosthetic designs under unilateral loading, using strain gauge analysis. Material and methods. Artificial teeth of both canines were anchored bilaterally in a mandibular edentulous model made of resin. Bilateral distal extension removable partial dentures with splinted and unsplinted abutments were fabricated. Group 1: Clasp-retained mandibular removable partial denture with unsplinted abutments Group 2: Clasp-retained mandibular removable partial denture with splinted abutments by 6-unit bridge. Group 3: Bar-retained mandibular removable partial denture Strain gauges were bonded on the labial plate of the mandibular resin model, approximately 2 mm dose to the abutments. Two unilateral vertical experimental loadings (30N and 100N) were applied subsequently via miniature load cell that were placed at mandibular left first molar region. Strain measurements were performed and simultaneously monitored from a computer connected to data acquisition system. For within-group evaluations, t-test was used to compare the strain values and for between-group comparisons, a one-way analysis of variance (ANOVA) was used and Tukey test was used as post hoc comparisons. Results. The strain values of group 1 and 2 were tensile under loadings. In contrast, strain values of group 3 were compressive in nature. Strain values increased as the applied load in increased from 30N to 100N (p<.05) except for right side in group 1. Under 30N loading, in left side, group 1 showed higher strain values than groups 2 and 3 in absolute quantity (p<.05). And group 2 showed higher strain values than group 1 (p<.05). In right side, group 1 and 2 showed higher strain values than group 3 in absolute quantity (p<.05). Under 100N loading in left side, group 1 showed higher strain values than groups 2 and 3 in absolute quantity (p<.05). And group 2 showed higher strain values than group 1 (p<.05). In right side, group 1 and 2 showed higher strain values than group 3 in absolute quantity (p<.05). Under 30N loading, group 2 and 3 showed higher strain values in right side than in left side. Under 100N loading, right side strain values were higher than left side ones for all groups. Conclusion. Splinting of two isolated abutments by bridge reduced the peri-abutment strain in comparison with unsplinted abutments under unilateral loading. Bar-retained removable partial denture showed the lowest strain of three groups, and compressive nature.