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Applying a Tracing Method to Compute Swept Volumes Generated by Free-form Objects in Screw Motions (스크류운동을 하는 자유형상 물체의 스웹볼륨 계산을 위한 추적법의 응용)

  • Kim, Hyoung-Q;Kim, Jay-Jung
    • Korean Journal of Computational Design and Engineering
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    • v.15 no.2
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    • pp.106-114
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    • 2010
  • The swept volume, the region of a moving object, is applied in many fields such as valid paths for motions of tools, visualization in robot paths and interference tests for parts assembling or disjointing. The shape of a swept volume depends on an generators computed with normal vectors of an object and velocity vectors of a motion. Although free-from surfaces are widely used to represent geometric models in CAD, computing the generators for a free-form object is a formidable task. Previous approaches exploit the closed form expressions of generators but limited to planer or quadric faces. In this paper, we propose the algorithm to compute swept volumes generated by free-form objects in screw motions. For the algorithm a tracing method is applied to the computation of generators. It considers curvatures of surfaces of an object to increase the computational accuracy. We implemented our algorithm in the CATIA V.5 environment to test the validity of our algorithm and to generate examples.

Characterization of the Intact Form of Thermotoga maritima Pectinase TmPecN Expressed in Escherichia coli

  • Kim, Chung Ho;Cheong, Jong-Joo
    • Journal of Applied Biological Chemistry
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    • v.58 no.2
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    • pp.97-100
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    • 2015
  • The thermostable pectinase gene TmPec isolated from Thermotoga maritima was introduced into the NdeI site of pRSET-B vector and expressed in its intact form in Escherichia coli BL21. The overexpressed intact form of pectinase (TmPecN protein) was partially purified by heat-denaturation procedure. TmPecN showed the highest activity between 85 and $95^{\circ}C$, and at approximately pH 6.5. Enzyme activity was stably maintained at temperatures below $85^{\circ}C$. In the presence of $Ca^{2+}$, pectinase activity of TmPecN increased to 128.4% of normal level. In contrast, $Ba^{2+}$, $Zn^{2+}$, and $Mn^{2+}$ strongly inhibited TmPecN activity. We conclude that the biochemical properties of the intact form of TmPecN are comparable to those of the recombinant protein TmPec reported previously.

An Investigation on the Computing Offsets of Free form Curve using the Biarc Approximation Method (이중원호 근사법을 이용한 자유형상곡선의 오프셋 계산에 관한 연구)

  • Yoo Dong-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.8 s.173
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    • pp.76-83
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    • 2005
  • In this study a general method for computing offsets of free form curves is presented. In the method arbitrary free form curve is approximated with point series considering required tolerance. The point series are offset precisely using the normal vectors computed at each point and loop removal is carried out by the newly suggested algorithm. The resulting offset points are transformed to lines and arcs using the biarc approximation method. Tangent vectors for approximation of discrete points data are calculated by traditional local interpolation scheme. In order to show the validity and generality of the proposed method , various of offsettings are carried our for the base curves with complex shapes.

A study on the separation and recovery of uranium (우라늄의 분리 및 회수에 관한 연구)

  • 노기환;김준태
    • Journal of environmental and Sanitary engineering
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    • v.12 no.1
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    • pp.15-23
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    • 1997
  • The anionic exchange resins with the Dowex-1 and Amberlite CG-400 form were transformed into resin of sulfate and acetate acid form, respectively. The uranyl complex ions with SO$_{4}$$^{2-}$ and CH$_{3}$COO$^{-}$ were adsorbed on the anion exchange resion mentioned above, and these complex ions were eluted as mixture eluents of 0.7M HNO$_{3}$ - 0.5M NH$_{4}$NO$_{3}$ by anion exchange chromatography. The optimum adsorption conditions of uranyl anion complex ions adsorbed on the upper of the resin colmun were 1.5-2.0 ml/min of flow rates at pH 2.0 and adsorptive power of uranyl complex ion of sulfuric acid type were nearly consistent with the Caussion normal distribution curve, whereas the elution state of UO$_{2}$(Ac)$_{2}$$^{4-}$ with acetic acid type was departed. The weighing form obtained from resin of sulfuric acid and aceric acid type was U$_{3}$O$_{8}$ whose recovery was 91.7%. The possibility of recovering uranium from the monazite sulfate solution using a strong base anion resin, Amberlite CG-400(sulfate form), was successfully recovered more than 90%.

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Submanifolds of Codimension 3 in a Complex Space Form with Commuting Structure Jacobi Operator

  • Ki, U-Hang;Song, Hyunjung
    • Kyungpook Mathematical Journal
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    • v.62 no.1
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    • pp.133-166
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    • 2022
  • Let M be a semi-invariant submanifold with almost contact metric structure (𝜙, 𝜉, 𝜂, g) of codimension 3 in a complex space form Mn+1(c) for c ≠ 0. We denote by S and R𝜉 be the Ricci tensor of M and the structure Jacobi operator in the direction of the structure vector 𝜉, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a certain scalar 𝜃 ≠ 2c and any vector fields X and Y on M. In this paper, we prove that if it satisfies R𝜉𝜙 = 𝜙R𝜉 and at the same time S𝜉 = g(S𝜉, 𝜉)𝜉, then M is a real hypersurface in Mn(c) (⊂ Mn+1(c)) provided that $\bar{r}-2(n-1)c{\leq}0$, where $\bar{r}$ denotes the scalar curvature of M.

The Size, Form of Dental Arch and Occlusion in Dental Hygiene Students in Korea (한국 치위생과 학생의 치열궁 크기 및 형태와 교합)

  • Hwang, Ji-Min;Lee, Chun-Sun;Han, Ji-Hyoung
    • Journal of dental hygiene science
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    • v.14 no.3
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    • pp.390-396
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    • 2014
  • The purpose of this study was to examine the size, form of dental arch and occlusion type in college students in our country and the relationship of the factors. The subjects in this study were 210 selected dental hygiene students. The collected data were analyzed by a statistical package PASW 18.0. When their size, form and occlusion of dental arch were analyzed, the inter-canine width of the maxillary was 34.38 mm, and the inter-first molar width was 52.05 mm. The canine depth was 8.60 mm, and the first molar depth was 28.69 mm. As for the mandibular, the inter-canine width was 26.42 mm, and the inter-first molar width was 44.83 mm. The canine depth was 5.54 mm, and the first molar depth was 24.38 mm. Concerning the form of dental arch, the percentage of normal dental arch in the maxillary stood at 29.0, and that of crowding stood at 60.5. The percentage of spacing stood at 10.5. In the case of the mandibular, the percentage of normal dental arch stood at 29.0; crowding, 55.7; and spacing, 15.2. In relation to occlusion, the percentage of normal occlusion stood at 16.7. As to malocclusion, class I that accounted for 55.7 was most common, and class II and class III respectively accounted for 20.5 and 7.1. When the size of dental arch was compared according to the form and occlusion of it, dental arch was largest (45.95 mm) in size when the form of dental arch in the inter-first molar width of the mandibular was spacing. The size of dental arch was 44.73 mm when its form in the same region was normal, and that was 44.58 mm when its form in the same region was crowding (p=0.032). Regarding the relationship between the form and occlusion of dental arch, crowding was most common when there were class I, II and III of malocclusion both in the maxillary and mandibular.

THE STUDY OF THE EFFECT OF DENTAL ARCH FORM ON CHEWING MOVEMENT II. THE ANALYSIS OF CHEWING MOVEMENT (저작운동에 미치는 치열궁형태의 영향에 관한 연구 II. 저작운동의 분석에 대하여)

  • Jo Byung-Woan
    • The Journal of Korean Academy of Prosthodontics
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    • v.32 no.4
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    • pp.553-564
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    • 1994
  • Using Sirognathograph Analyzing System, the patterns of chewing movement were analyzed into opening phase and closing phase, each phase to frontal plane, horizontal plane, and sagittal plane by maruyama's classification. In opening phase, the chewing patterns of frontal plane were classifed into Chopping Opening, Grinding Opening, Concave Opening, Lateral Shift Opening, Vertical Guide Opening, Convergence Opening. Those of horizontal plane were classified into Chopping Opening, Grinding Opening, Concave Opening, Protrusive Shift Opening, Posterior Guide Opening, Convergence Opening. Those of sagittal plane were classified into Normal Opening, Protrusive Shift Opening, Vertical Guide Opening, Convergence Opening. In closing phase, the chewing patterns of frontal plane were classified into Normal Closure, Concave Closure, Lateral Shift Closure, Lateral Guide Closure, Vertical Guide Closure, Convergence Closure, Those of horzontal plane were classified into Normal Closure, Concave Closure, Lateral Shift Closure, Protrusive Shift Closure, Lateral Guide closure, Posterior Guide Closure, Convergence Closure. Those of sagittal plane were classified into Normal Closure, Protrusive Shift Closure, Vertical Guide. Closure, Convergence Closure. Results were summarized as follows : 1. Opening phase in chewing movement The Normal Openings in 3 planes(frontal, horizontal, sagittal), the Concave Openings in frontal plane and horizontal plane, the Vertical Guide Opening in frontal plane and the Posterior Guide Opening in horizontal plane were many observed. 2. Closing phase in chewing movement The Concave Closure in frontal and horizontal plane, the Normal Closure in 3 planes (frontal, horizontal, sagittal), the Concave Closure in horizontal plane were many observed.

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Normal Depth of Best Section (최량수리단면의 등류수심)

  • Yoo, Dong-Hoon
    • Journal of Korea Water Resources Association
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    • v.35 no.6
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    • pp.729-736
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    • 2002
  • The computation of normal depth is one of the most important parts in the design of open channel flow, and the best section is in general the most economic section in the case of constructing artificial open channels. Thus the determination of the normal depth of the best section is the essential item in the design of most open channel flows. To estimate the frictional forces a power law is introduced, which is applicable to most situations in open channel flows. Explicit and consistent forms of equations are deduced for the calculation of normal depth of triangular, rectangular and trapezoidal best sections. Furthermore the equations of normal depth are found to have the same form as those of pipe diameter for the design of pipe flow.

A STUDY ON THE NORMAL DENTAL ARCH FORM OF KOREAN ADULT (한국인 성인의 정상 치열궁 형태에 관한 연구)

  • Chung, Ha-Ik
    • The korean journal of orthodontics
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    • v.3 no.1
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    • pp.7-13
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    • 1972
  • Many geometric curves are presented as representative form of normal dental arches by many authors; circle, ellipse, parabola or catenary curve. Among them those except circle seems difficult to be adopted as a guide in ideal arch form construction and practically many orthodontists chose circle as a standard. Author preferred circle of Bonwill's theory in study of anterior teeth alignment of Korean adults. Eighty three dental models which possess proper occlusion and good arch form were selected and copies of their occlusal surfaces obtained by Ricopy machine. The use of Ricopy machine made it possible to draw arch form exactly. Mesiodistal widths of six anterior teeth were measured and they were added to combined mesiodistal width of six anterior teeth. Circle, that include the points of two cuspal tips of canines and one incisal edge of central incisor were drawn. Distances of lateral incisors that are deviated from arc of this circle were measured and classified into four grades by degree and three groups by kind of teeth deviated. By counting the number of samples involved degree of fit of the circle to arch contour of Korean adult was described. Then, size of radius of circle, intercanine width and intermolar width were measured and evaluated their ratios to combined mesiodistal width of six anterior teeth. In normal occlusion of Korean adult anterior teeth seems to be arranged on an arc of circle the radius of which is similar to combined mesiodistal width of six anterior teeth. Intercanine width and intermolar width have rather constant ratios to combined width of six anterior teeth.

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Studies on Error Propagation by Simulation Model -Main description of experments of aero-triangulation- (횡응모형에 의한 오차전파에 관한 연구 -공중삼각측량의 실험을 중심으로-)

  • 백은기
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.18 no.1
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    • pp.4021-4037
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    • 1976
  • This paper describes the actual experiments of the error propagation and studies of analytical photogrammetry using the simulation method in which we can find the causes of the errors. These studies and the results give the valuable data which are very effective for systematically controlling the errors in aerial triangulation. The main contents in my paper are as follows: 1. Dose the scale errors in the successive models in the form of normal distribution appear when the observation errors propagate in the form of normal distribution\ulcorner 2. In what form does this scale error propagation in the actual model appear\ulcorner 3. When the causes of the scale error propagation are found, is the evaluation standard determined normally\ulcorner 4. What degree of influence is there form the constant errors\ulcorner I have done several experiments using the simulation method technique to solve the complicated error propgation of aerial triangulation which is the effective means to research the relations between cause and effect. In this paper, the studies have concentrated on the following points of simulation experiments. (1) The first part descries how we can produce the soft program of the simulation experiment. (2) The second part is the method propagating the errors in the simulation models and the kinds of errors. (3) The final part is the most important; that is the analyzing and evaluation of control during actual work. From the above-mentioned points, it is said that these studies are a very important development in the field of controlling and managing aerial photogrammetry and especially in the case of error propagation, we can clearly find the causes of the errors and steps and parts of errors generated when we use these techniques.

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