• Title/Summary/Keyword: normal point

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Phase Behavior Study of Poly(ethylene-co-octene) in normal-Hydrocarbons

  • Kwon, Hyuk-Sung;Lee, Sang-Ho
    • Elastomers and Composites
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    • v.38 no.1
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    • pp.51-56
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    • 2003
  • Cloud-point and bubble-point data to $170^{\circ}C$ and 50 bar are presented for four different solvents, normal pentane. n-hexane, n-heptane, and n-octane with poly(ethylene-co-42 wt% octene) ($PEO_{42}$) copolymer. The pressure-concentration isotherms measured for $PEO_{42}$ - normal pentane have maximums at around 5 wt% of the copolymer concentrations in the solution. $PEO_{42}$- normal pentane system exhibits LCST-type phase behavior at temperatures greater than $130^{\circ}C$. Below $120^{\circ}C$, bubble-point type transitions are observed. However, the binary mixtures for $PEO_{42}$ in n-hexane, n-heptane, and n-octane have only bubble-point type transitions at the pressure-temperature region investigated in this study. The single-phase region of PEO - alkane mixtures increases with the molecular size of alkane solvent due to the increasing dispersion interactions between PEO and the alkane.

SCALED VISUAL CURVATURE AND VISUAL FRENET FRAME FOR SPACE CURVES

  • Jeon, Myungjin
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.1
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    • pp.37-53
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    • 2021
  • In this paper we define scaled visual curvature and visual Frenet frame that can be visually accepted for discrete space curves. Scaled visual curvature is relatively simple compared to multi-scale visual curvature and easy to control the influence of noise. We adopt scaled minimizing directions of height functions on each neighborhood. Minimizing direction at a point of a curve is a direction that makes the point a local minimum. Minimizing direction can be given by a small noise around the point. To reduce this kind of influence of noise we exmine the direction whether it makes the point minimum in a neighborhood of some size. If this happens we call the direction scaled minimizing direction of C at p ∈ C in a neighborhood Br(p). Normal vector of a space curve is a second derivative of the curve but we characterize the normal vector of a curve by an integration of minimizing directions. Since integration is more robust to noise, we can find more robust definition of discrete normal vector, visual normal vector. On the other hand, the set of minimizing directions span the normal plane in the case of smooth curve. So we can find the tangent vector from minimizing directions. This lead to the definition of visual tangent vector which is orthogonal to the visual normal vector. By the cross product of visual tangent vector and visual normal vector, we can define visual binormal vector and form a Frenet frame. We examine these concepts to some discrete curve with noise and can see that the scaled visual curvature and visual Frenet frame approximate the original geometric invariants.

FIXED POINTS OF WEAKLY INWARD 1-SET-CONTRACTION MAPPINGS

  • Duan, Huagui;Xu, Shaoyuan;Li, Guozhen
    • Journal of the Korean Mathematical Society
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    • v.45 no.6
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    • pp.1725-1740
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    • 2008
  • In this paper, we introduce a fixed point index of weakly inward 1-set-contraction mappings. With the aid of the new index, we obtain some new fixed point theorems, nonzero fixed point theorems and multiple positive fixed points for this class of mappings. As an application of nonzero fixed point theorems, we discuss an eigenvalue problem.

An acoustical analysis of speech of different speaking rates and genders using intonation curve stylization of English (영어의 억양 유형화를 이용한 발화 속도와 남녀 화자에 따른 음향 분석)

  • Yi, So Pae
    • Phonetics and Speech Sciences
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    • v.6 no.4
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    • pp.79-90
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    • 2014
  • An intonation curve stylization was used for an acoustical analysis of English speech. For the analysis, acoustical feature values were extracted from 1,848 utterances produced with normal and fast speech rate by 28 (12 women and 16 men) native speakers of English. Men are found to speak faster than women at normal speech rate but no difference is found between genders at fast speech rate. Analysis of pitch point features has it that fast speech has greater Pt (pitch point movement time), Pr (pitch point pitch range), and Pd (pitch point distance) but smaller Ps (pitch point slope) than normal speech. Men show greater Pt, Pr, and Pd than women. Analysis of sentence level features reveals that fast speech has smaller Sr (sentence level pitch range), Sd (sentence duration), and Max (maximum pitch) but greater Ss (sentence slope) than normal speech. Women show greater Sr, Ss, Sp (pitch difference between the first pitch point and the last), Sd, MaxNr (normalized Max), and MinNr (normalized Min) than men. As speech rate increases, women speak with greater Ss and Sr than men.

The Comparisons of Eating-Related Index and Pre- and Post-Prandial Gut Hormone Patterns between Normal-Overweight and Obese Subjects of Taeemin (태음인 정상-과체중군과 비만군의 식이관련지표 및 식사 전후 Gut Hormone 비교연구)

  • Lee, Ji-Won;Park, Byung-Joo;Lee, Jun-Hee
    • Journal of Korean Medicine for Obesity Research
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    • v.14 no.1
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    • pp.36-45
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    • 2014
  • Objectives: The purpose of this studay was to compare the eating-related index and the patterns of pre- and post-prandial gut hormone level in normal-overweight and obese subjects of Taeemin population. Methods: We enrolled healthy male participants who were diagnosed with Taeeumin by Sasang Constitutional diagnosis and who were normal-overweight ($18.5kg/m^2{\leq}$body mass index [BMI)< $25kg/m^2$) or obese ($25.0kg/m^2{\leq}$BMI< $30kg/m^2$). Eating behavior and gastrointestinal problems were assessed by using standardized scale. Subjective appetite ratings using visual analogue scales and the profiling of serum levels of ghrelin and peptide YY (PYY) were assessed before and after a standard meal (6 time points: 30 minutes pre-prandial, immediately before meal, 15, 30, 60, and 120 minutes post-prandial). Results: Tewnty two healthy Taeeumin people classified as normal-overweight group or obese group are the final subjects. External eating score of Dutch eating behavior questionaire scores is higher in normal-overweight group than in obese group. The variations of subjective appetite ratings in obese group are smaller than in normal-overweight group. The pattern of ghrelin in normal-overweight group shows a high peak at 30 minutes post-prandial point, which is contrary to existing studies. The pattern of PYY in obese group decreases from 15 minutes post-prandial point and shows lower peak level, whereas in normal-overweight group shows increasing tendency from pre-prandial point until 30 minutes post-prandial point. Conclusions: There are differences in the eating-related index and the gut hormone patterns related to obesity.

Clinical Study of Acupuncture Effect by Measuring Amperage from Chong points (정혈(井穴)의 도전량(導電量) 측정에 의한 무자(繆刺) 및 거자법(巨刺法)의 유용성에 관한 임상 고찰)

  • Ahn, Kyu-Beom;Wang, Wu-Hao;Lim, Jin-Kang;Jang, Hyoung-Seok
    • Journal of Acupuncture Research
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    • v.18 no.4
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    • pp.13-21
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    • 2001
  • Objective : This study is performed to evaluate the clinical effect of acupuncture to acu-points in the normal side by means of amperage measured from chong points. Methods : Among the outpatients with ankle sprain who visited to Department of Acupuncture & Maxibustion, Jaseng oriental medicine hospital from 21, December 2000 to 10, February 2001, we selected 11 persons who showed normal finding in the X-ray. They were divided into two groups. One group was treated with acupuncture to acu-points in the painful side and the other was treated with acupuncture to acu-points in the normal side. Before and after acupuncture, we measured the amperage from their chong points. We selected 10 persons who we thought they were healthy as a control group. We also measured the amperage from their chong points. Results : Between the control and the ankle sprain group, there were significant differences of differences between the amperages of Rt. chong point and Lt. thong point of the same name. Between the group treated with acupuncture to acu-points in the painful side and the group treated with acupuncture to acu-points in the normal side, there were no significant differences of differences between the amperages of Rt. chong point and Lt. chong point of the same name. Conclusion : This result indicated that the acupuncture to acu-points in the painful side was not less effective than the acupuncture to acu-points in the normal side, and so the more study is needed continuously.

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Internal Resonance and Stability Change for the Two Degree Nonlinear Coupled System (2 자유도 비선형 연성시스템에서 내부공진과 안정성 변화)

  • Kim, Myoung-Gu;Pak, Chul-Hui;Cho, Chong-Du
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.853-861
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    • 2007
  • To understand the concept of dynamic motion in two degree nonlinear coupled system, free vibration not including damping and excitation is investigated with the concept of nonlinear normal mode. Stability analysis of a coupled system is conducted, and the theoretical analysis performed for the bifurcation phenomenon in the system. Bifurcation point is estimated using harmonic balance method. When the bifurcation occurs, the saddle point is always found on Poincare's map. Nonlinear phenomenon result in amplitude modulation near the saddle point and the internal resonance in the system making continuous interchange of energy. If the bifurcation in the normal mode is local, the motion remains stable for a long time even when the total energy is increased in the system. On the other hand, if the bifurcation is global, the motion in the normal mode disappears into the chaos range as the range becomes gradually large.

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Automatic Interpretation of the Borehole Normal Resistivity Data by Using a Personal Computer (퍼스널 컴퓨터를 이용한 비저항 물리검층자료의 자동해석)

  • Kim, Jin-Hu
    • Journal of Ocean Engineering and Technology
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    • v.2 no.2
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    • pp.51-60
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    • 1988
  • A data transform is performed by using a point-electrode focusing method in order to obtain accurate and objective interpretation of the borehole normal resistivity data. Two new synthetic curves can be generated through the data transform. The one is an approximate apparent resistivity curve, which would be used to predict the true resistivity of the formation. The other one is a bed boundary coefficient curve, which would be used to distinguish bed boundaries. The accuracy of the normal data interpretation can be improved and this method takes much less computational time than a linear inversion technique. Moreover, this method does not require an initial guess model and limitation of number of unknown parameters. Since this algorithm can be run on a personal computer, an immediate interpretation would be possible at the field work site. If an additional set of electrodes(a=125cm)is attached to a normal resistivity tool which is being used (a=25cm, 50cm, 100cm), the apparent resistivity for the point-electrode focusing device can be calculated, and it would maximize the use of short and long normal resistivity data and promote the accuracy of the interpretation.

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