• Title/Summary/Keyword: geometry area

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Earliest Intercept Geometry Guidance to Improve Mid-Course Guidance in Area Air-Defence

  • Shin, Hyo-Sang;Tahk, Min-Jea;Tsourdos, A.;White, B.A.
    • International Journal of Aeronautical and Space Sciences
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    • v.11 no.2
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    • pp.118-125
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    • 2010
  • This paper describes a mid-course guidance strategy based on the earliest intercept geometry (EIG) guidance. An analytical solution and performance validation will be addressed for generalized mid-course guidance problems in area air-defence in order to improve reachability and performance. The EIG is generated for a wide range of possible manoeuvres of the challenging missile based on the guidance algorithm using differential geometry concepts. The main idea is that a mid-course guidance law can defend the area as long as it assures that the depending area and objects are always within the defended area defined by EIG. The velocity of Intercept Point in EIG is analytically derived to control the Intercept Geometry and the defended area. The proposed method can be applied in deciding a missile launch window and launch point for the launch phase.

Relationship Between Farm Land Structure and Machine Operation in Korea

  • Singh, Gajendra;Ahn, Duck-Hyun
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 1993.10a
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    • pp.129-138
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    • 1993
  • The shortage of agricultural labour due to industrial growth has greatly induced the mechanization in Korean agriculture. However small and scattered land holdings have been the main constraints in the process of mechanization. This paper describes the interrelationships of farm land structure, machinery selection and machinery operation areas. The sandy silt loam irrigated paddy land having single crop a year was selected as a target areas for this study. Machine operation cost is greatly influenced by operation period, plot geometry and operation area. On the improved geometry plots, optimal machine size increases slowly with increase in operation area. Operable area increases due to increased effective machine capacity on better geometry plot. The difference between the effects of operation period and plot geometry is that in the former case, the cost reduction is caused by delay in increase of machine size, whereas in the latter case timeliness cost is reduced by increase ffective capacity. The effect of farmland consolidation is greater on small plots than that on big plots. Increasing wage rates have induced the adoption of more labor saving machinery. Bigger labor saving machines require enlargement of operation area and larger plots through improvement in farm land structure. Machine cost on poor plot geometry increases more rapidly than that on the good plot geometry and as operation area increases machine cost reduces significantly. It is concluded that the development of agricultural mechanization ion Korea will depend on the improvement in farm land structure and enlargement of operation area.

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A Re-Examination of the Area formula of triangles as an invariant of Euclidean geometry (유클리드 기하의 고유한 성질로서의 삼각형 넓이 공식에 대한 재음미)

  • Choi Young-Gi;Hong Gap-Ju
    • The Mathematical Education
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    • v.45 no.3 s.114
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    • pp.367-373
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    • 2006
  • This study suggests that it is necessary to prove that the values of three areas of a triangle, which are obtained by the multiplication of the respective base and its corresponding height, are the same. It also seeks to deeply understand the meaning of Area formula of triangles by exploring some questions raised in the analysis of the proof. Area formula of triangles expresses the invariance of congruence and additivity on one hand, and the uniqueness of parallel line, one of the characteristics of Euclidean geometry, on the other. This discussion can be applied to introducing and developing exploratory learning on area in that it revisits the ordinary thinking on area.

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New Geometric modeling method: reconstruction of surface using Reverse Engineering techniques

  • Jihan Seo
    • Proceedings of the Safety Management and Science Conference
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    • 1999.11a
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    • pp.565-574
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    • 1999
  • In reverse engineering area, it is rapidly developing reconstruction of surfaces from scanning or digitizing data, but geometric models of existing objects unavailable many industries. This paper describes new methodology of reverse engineering area, good strategies and important algorithms in reverse engineering area. Furthermore, proposing reconstruction of surface technique is presented. A method find base geometry and blending surface between them. Each based geometry is divided by triangular patch which are compared their normal vector for face grouping. Each group is categorized analytical surface such as a part of the cylinder, the sphere, the cone, and the plane that mean each based geometry surface. And then, each based geometry surface is implemented infinitive surface. Infinitive average surface's intersections are trimmed boundary representation model reconstruction. This method has several benefits such as the time efficiency and automatic functional modeling system in reverse engineering. Especially, it can be applied 3D scanner and 3D copier.

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Effect of Structural Geometry of Jointed Concrete Pavement on Backcalculation using AREA Method (줄눈콘크리트 포장의 구조적 형상이 AREA법을 이용한 역해석에 미치는 영향)

  • Yoo, Tae-Seok;Sim, Jong-Sung
    • International Journal of Highway Engineering
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    • v.9 no.1 s.31
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    • pp.39-46
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    • 2007
  • Different backcalculation results for the same material properties are caused by different structural geometry. In this paper, based on real simulation results for typical pavement systems using 3-dimensional FE models, modified AREA graphs are proposed to graphically backcalculate modulus of elasticity of slab and subgrade based on center deflection and AREA. In modified graph for single infinity slab models, deflection and AREA are increased in deeper depth to bedrock. But, effects of depth to bedrock more than 4.0 meters on backcalculation results are negligible. And, center deflection and AREA generated from multifinite slab models are larger than those of single infinity slab models with same depth to bedrock.

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A Study on Determination of the Area Function of Nano Indenter Tip with AFM (AFM을 이용한 나노 인덴터 팁의 면적함수 결정에 관한 연구)

  • 박성조;이현우;한승우
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.6
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    • pp.145-152
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    • 2004
  • Depth-sensing indentation is wifely used for evaluation of mechanical properties of thin films. It is generally accepted that the most significant source of uncertainty in nanoindentation measurement is the geometry of the indenter tip. Therefore the successful application of the technique requires accurate calibration of the indenter tip geometry. The direct measurement of geometry of a Berkovich indenter was determined using a atomic force microscope. The indentation geometrical calibration of contact area was performed by analyzing the indenter tip profile. The equations of area functions were proposed for nanoscale thin films..

Development of Spatial Geometry Cognition in 3-, 4-, and 5-Year-Old (3, 4, 5세 유아의 공간기하 인지 발달)

  • Kim, Bokyung;Yi, Soon Hyung
    • Human Ecology Research
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    • v.55 no.2
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    • pp.125-140
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    • 2017
  • This study composed spatial cognition tasks within the system of geometric area to study children's spatial cognition development systematically. It surveyed children's execution of direction, rotation, symmetry, conjugation, and part/whole cognition tasks. A spatial geometry cognition task set (consisting of total 27 sub-tasks) was presented to 60 children (20 each in groups of 3-, 4-, and 5-year-old) in order to confirm how children's execution of spatial geometry cognition changed depending on children's age and sex as well as if the execution of the spatial geometry cognition showed a difference after each task area. As a result, the execution of the whole direction task and the part/whole task gradually increased between age 3 and age 5. The execution of the whole rotation task, whole symmetry task, and whole conjugation task rapidly increased between age 3 and age 4. Significant sexual difference did not appear in the execution of spatial geometry cognition tasks. The execution of the conjugation and part/whole task was high in each task area, and the execution of the direction, rotation, and symmetry task was relatively low. In addition, the difference of task execution appeared in the sub-tasks of direction, symmetry, and conjugation areas. This result suggests the theoretical discussion possibility of children's spatial geometry cognition development. In addition, the empirical results of this study can be applied to child education plans and activity compositions appropriate for child development.

A Study on the Characteristics of the Wheel/Roller Contact Geometry (차륜/궤조륜 기하학적 접촉특성에 관한 연구)

  • Hur, Hyun-Moo
    • Journal of the Korean Society for Railway
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    • v.9 no.5 s.36
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    • pp.618-623
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    • 2006
  • Understanding the contact between wheel and rail is a starting point in railway vehicle dynamic research area and especially analysis for the contact geometry between wheel and rail is important. On the one hand, the critical speed as the natural characteristics of rolling-stock is generally tested on the roller rig. The geometrical characteristics of the wheel/roller contact on the roller rig are different from these of the general wheel/rail contact because the longitudinal radius of roller is not infinite compared with rail. Thus, in this paper we developed the algorithm to analyze the wheel/roller contact geometry of our roller rig which is constructed now and analyzed the difference between whee/roller contact and wheel/rail contact. In conclusion, we found that the yaw motion of wheelset and the roller radius influence the geometrical contact parameters in wheel flange contact area.

A Study on the Comparision of Middle School Mathematics Textbooks in Korea and Germany - Focused on the Area of Geometry - (한국과 독일의 중등학교 수학교과서 비교 연구 II - 중학교 기하 영역을 중심으로 -)

  • Jung, Hwan-Ok;Lau, Jeung-Hark
    • The Mathematical Education
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    • v.44 no.1 s.108
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    • pp.1-14
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    • 2005
  • This study analyzed the differences in the contents as well as in the methods of development and presentation of learning contents in Korean and German mathematics textbooks for middle school students. For the research we investigated only the area of geometry, and in particular this study performed in-depth analysis concerning 4 subjects; namely congruences of triangles, special points in a triangle, similarity of figures and the theorem of Pythagoras.

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Effects of Surface Geometry on Polyelectrolyte Adsorption

  • Park, Young-G.;Kim, Key-Seek;Sung, Ki-Chun
    • Journal of the Korean Applied Science and Technology
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    • v.17 no.2
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    • pp.149-156
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    • 2000
  • For the adsorption of polyelectrolyte at the surface of polyacrylamide gel particle, preferential adsorption of the large polyelectrolyte such as DNA is governed by the surface area of an adsorbent. The adsorption equilibrium constant can be varied by surface geometry of porous polymer, and it can be described as a function of ionic strength and surface area. Physical parameters affecting the adsorption were estimated using the theoretical governing equation of polyelectrolyte which electrophoretically moved along the column, and geometrical surface area was estimated by Waldman-Mayer's physical model. The separation of polyelectrolytes was studied using the physical parameters estimated by ionic strength and surface geometry.