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How the Geometries of Newton's Flat and Einstein's Curved Space-Time Explain the Laws of Motion

  • Yang, Kyoung-Eun
    • Journal for History of Mathematics
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    • v.32 no.1
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    • pp.17-25
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    • 2019
  • This essay elucidates the way the geometries of space-time theories explain material bodies' motions. A conventional attempt to interpret the way that space-time geometry explains is to consider the geometrical structure of space-time as involving a causally efficient entity that directs material bodies to follow their trajectories corresponding to the laws of motion. Newtonian substantival space is interpreted as an entity that acts but is not acted on by the motions of material bodies. And Einstein's curved space-time is interpreted as an entity that causes the motions of bodies. This essay argues against this line of thought and provides an alternative understanding of the way space-time geometry explain the laws of motion. The workings of the way that Newton's flat and Einstein's curved space-time explains the law of motion is such that space-time geometry encodes the principle of inertia which specifies straight lines of moving bodies.

Development of head loss coefficient formula at surcharged four-way combining square manhole with variation of inlet flow (유입유량 변화를 고려한 과부하 4방향 사각형 합류맨홀에서의 손실계수 산정식 개발)

  • Jo, Jun Beom;Kim, Jung Soo;Yoon, Sei Eui
    • Journal of Korea Water Resources Association
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    • v.50 no.12
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    • pp.877-887
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    • 2017
  • The energy losses due to surcharged flow at four-way combining manhole, which is mainly installed in the downstream of urban sewer system, is the main cause of inundation in urban area. Surcharged four-way combining manholes form various flow configuration such as straight through, T-type, and four-way manholes depending on variation of inflow discharge in inlet pipes. Therefore, it is necessary to analyze change of energy loss and estimate head loss coefficients at surcharged four-way combining manhole with variation of inflow discharge ratio. The hydraulic experimental apparatus which can change inflow ratios were installed to analyze the flow characteristics at four-way combining manhole. In this study, to calculate the head loss coefficient according to change of the inflow discharge ratios at the surcharged four-way combining square manhole, the discharge conditions of 40 cases which the inflow ratios of each inlet pipe were changed by 10% interval was selected. The head loss coefficient at surcharged square manhole showed the lowest value of 0.40 at the straight manhole and the highest value of 1.58 at the $90^{\circ}$ junction manhole. In the combining manholes (T-type and four-way), the head loss coefficients were calculated more higher as the lateral flow rate was biased. The contour map of head loss coefficient range was constructed by using the estimated head loss coefficients and the empirical formula of head loss coefficients was derived to consider the variation of inflow discharge ratios at the surcharged square manhole. The empirical formula could be applied to the design and assessment of the urban drainage system.

As-built modeling of piping system from terrestrial laser-scanned point clouds using normal-based region growing

  • Kawashima, Kazuaki;Kanai, Satoshi;Date, Hiroaki
    • Journal of Computational Design and Engineering
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    • v.1 no.1
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    • pp.13-26
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    • 2014
  • Recently, renovations of plant equipment have been more frequent because of the shortened lifespans of the products, and as-built models from large-scale laser-scanned data is expected to streamline rebuilding processes. However, the laser-scanned data of an existing plant has an enormous amount of points, captures intricate objects, and includes a high noise level, so the manual reconstruction of a 3D model is very time-consuming and costly. Among plant equipment, piping systems account for the greatest proportion. Therefore, the purpose of this research was to propose an algorithm which could automatically recognize a piping system from the terrestrial laser-scanned data of plant equipment. The straight portion of pipes, connecting parts, and connection relationship of the piping system can be recognized in this algorithm. Normal-based region growing and cylinder surface fitting can extract all possible locations of pipes, including straight pipes, elbows, and junctions. Tracing the axes of a piping system enables the recognition of the positions of these elements and their connection relationship. Using only point clouds, the recognition algorithm can be performed in a fully automatic way. The algorithm was applied to large-scale scanned data of an oil rig and a chemical plant. Recognition rates of about 86%, 88%, and 71% were achieved straight pipes, elbows, and junctions, respectively.

OPTIMAL HOMOTOPY ASYMPTOTIC METHOD SOLUTION OF UNSTEADY SECOND GRADE FLUID IN WIRE COATING ANALYSIS

  • Shah, Rehan Ali;Islam, S.;Siddiqui, A.M.;Haroon, T.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.15 no.3
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    • pp.201-222
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    • 2011
  • In the present work, the mathematical model of wire coating in a straight annular die is developed for unsteady second grade fluid in the form of partial differential equation. The Optimal Homotopy Asymptotic Method (OHAM) is applied for obtaining the solution of the model problem. This method provides us a suitable way to control the convergence of the series solution using the auxiliary constants which are optimally determined.

Analysis of Lower Extremity Joint Moment and Power during Squat in Female Patients with Genu Varum

  • Jeong, Ji-Man;Lim, Bee-Oh
    • Korean Journal of Applied Biomechanics
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    • v.26 no.4
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    • pp.407-412
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    • 2016
  • Objective: The aim of this study was to analyze the net joint moment and joint power of the lower extremity during squat in female patients with genu varum. Method: Eight female patients with genu varum were asked to do regular squats, and their net joint moment and joint power were compared to those of another eight female participants with straight legs. Their video recordings and ground reaction force data were analyzed to be used as a theoretical evidence of squatting effectively for female patients with genu varum. Results: Squats had a higher impact on internal knee joint rotation and ankle joint flexion moments in the genu varum group than in the straight leg group due to their weak and short hip joint muscles. Conclusion: There is a need to develop a squat movement that is appropriate for women with genu varum in order to distribute overload efficiently among the hip, knee, and ankle joints and to strengthen the muscles in a balanced way.

Comparison of Abdominal Oblique Muscle Activity During Leg Raising in Hook-lying Position According to Surface Conditions (Hook-lying 자세에서 한쪽 다리 들기시 지지면의 안정성에 따른 복사근의 근활성도 비교)

  • Kim, Su-Jeong;Weon, Jong-Hyuck;Oh, Jae-Seop;Kwon, Oh-Yun
    • Physical Therapy Korea
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    • v.13 no.3
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    • pp.102-110
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    • 2006
  • To improve trunk stability, various exercise protocols were introduced into the clinical field. Trunk and lumbar stability exercises on unstable surfaces are especially recommended to improve lumbar stability. The purpose of this study was to compare abdominal oblique muscle activity during leg raising in hook-lying position among 3 different type of surface conditions (on floor (F), vestibular board (VB), and foam roll (FR)). Sixteen able-bodied volunteers, who had no medical history of lower extremity or lumbar spine disease, were recruited for this study. Surface electromyography (EMG) activity was recorded from the internal and external oblique muscles of both sides. The normalized EMG activity was compared using a one-way repeated ANOVA. The results showed that the EMG activities of the internal oblique and external oblique of the lifted leg side during straight leg raising significantly increased under the FR condition when compared to the F condition. There was no significant difference of the EMG activity in abdominal oblique muscles between the VB and the FR conditions. The EMG activity of the internal oblique of supported leg side during the straight leg raising was significantly greater under the FR condition than the VB and F conditions (p<.05). The composition ratio of EMG activity of internal oblique muscles during straight leg raising was significantly increased under the FR condition. Therefore, straight leg raising exercise on foam roll in hook lying position could be beneficial to improve trunk and lumbar stability.

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A STUDY ON THE SEALING ABILITY OF THE THERMAFIL ENDODONTIC OBTURATION TECHNIQUE (Thermafil 충전법의 근관폐쇄성에 관한 연구)

  • Park, Chan-Je;Yo, In-Ho;Lim, Sung-Sam
    • Restorative Dentistry and Endodontics
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    • v.21 no.2
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    • pp.517-529
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    • 1996
  • The purpose of this study was to evaluate the apical sealing ability of the Thermafil endodontic obturation technique and to compare it with lateral condensation technique. 42 straight canals from extracted human anterior teeth and 42 curved canals(> $25^{\circ}$) from maxillary and mandibular molar teeth were selected. And 80 of them were divided into four groups, 20 canals respectively. The teeth in prior two groups had straight canals and the other two groups had curved canals. The rest of four canals served as positive and negative controls. After resecting anatomical crowns, all canals were prepared using a standard step-back technique. Lateral condensation was used to obturate two groups, one group of straight ones the other curved. And Thermafil obturators were also used in the same two groups. Obturated teeth were infiltrated by India ink for a week, decalcified and cleared with 5% nitric acid and methyl salicylate. The apical leakage and the frequency of filled lateral and accessory canals were measured with stereomicroscope and also apical extrusion of sealer and gutta-percha and obturation time were checked and the data were analyzed statistically(one-way ANOVA, t-test, Chi-square test). The results were as follows : 1. There was no significant difference in the degree of dye penetration between Thermafil and lateral condensation groups(p>0.05). 2. Apical extrusion of sealer and gutta-percha occurred significantly more often with Thermafil obturators in straight canals(p<0.05), but not significantly different in curved canals(p>0.05). 3. Canal obturation time with Thermafil obturators was significantly faster than lateral condensation (p<0.05). 4. The Thermafil groups showed a higher frequency of filled lateral and accessory canals than in the lateral condensation groups. But the difference was not statistically significant (p>0.05).

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A Study on Independent Rhythm Technique of Synthesizer & Percussions - Focusing on the Sting's "Nothing Like The Sun" Album - (신디사이저와 퍼커션의 독자적인 리듬기법 연구 - Sting의 "Nothing Like The Sun" 앨범을 중심으로 -)

  • Ohm, Soo-Han
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.12
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    • pp.327-332
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    • 2016
  • Sting (Gordon Sumner) is a British musician and singer-songwriter. He was the principal songwriter, lead singer, and bassist for the new wave rock band 'The Police' from 1977 to 1984, before launching a solo career in 1985. With his stylish and sophisticated sensibility and musical spectra, he achieved 100 million album sales. In this thesis, after he disbanded the group THE POLICE, his career as a solo artist with his wide variety of musical colors has been acknowledged for his reputation over more than 30 years. Therefore, I analyze 'Sting' of music included in 'Straight To My Heart' and 'Be Still My Beating Heart' in. Songs in indicate that the drum part the tunes that there is in a record doesn't break away from the basic way of music. The role of the whole rhythm division through the various percussions or can see a synthesizer than the role as the cord musical instrument that there are lots of tunes placing a great deal of weight on the role as the rhythmic musical instrument more. The unique instrument-based rhythm of the early Sting and role dispensation create a unique sound that is quite different from what the musician subsequently recorded. The feature and rhythmic characteristic, which is the arrangement that appeared outstandingly in this record, I am trying to explain about the way in which I lead the basic flow of the tune through the rhythm division of the other musical instruments which I split that is, the drum beat and break away from a rhythm from the divided general way and include a percussion.

A Proposal of Bridge Design Guideline by Analysis of Marine Accident Parameters occurred at Bridges Crossing Navigable Waterways (항만횡단 해상교량의 해양사고 관련 인자 분석을 통한 교량설계안 제안)

  • Park, Young-Soo;Lee, Yun-Sok;Park, Jin-Soo;Cho, Ik-Soon;Lee, Un
    • Journal of Navigation and Port Research
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    • v.32 no.10
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    • pp.743-750
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    • 2008
  • Recently Bridges crossing waterway are constructed in navigable waterway, so marine accidents near bridges navigable waterway often occurred bemuse that has affect dangerous element for. This paper analysed the necessary environmental factors to navigate safely near bridges and how to set up the environmental factors. Marine accidents elements occurred near bridges relate to span of bridge, size of navigating ship, length of straight way and traffic volume except mistake of mariners. As results of marine accident parameter analysis, Span of bridge is necessary more than 300m at least based on marine accident's analysis, and in case of more than ship's Length 150m, span of bridge is necessary more than 500m, $3{\sim}4L$(L; Ship's Length). Length of straight way before bridge is necessary more than 8L to minimize the marine accident.

A study on solution of bogie wheel slip problem (도시철도차량 차륜슬립 문제 해결에 관한 연구)

  • Jo, Dong-Sik;Jeong, Sang-Beom;Cho, Sung-Won;Son, Young-Jin
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.954-957
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    • 2010
  • Line 2 is being operated in 10 cities and it composed the amount of rolling stock combination. Line 2 rails have more curved than straight rails. So, wheels and rails were damaged. Accidents or delays caused many social problems. so it is important that wheel and rail are efficiently managed. Here, find out the cause of wheel-slip characteristics and workarounds were studying. Chapter 1 Background and Purpose. Chapter 2 about wheel slip problem and seek way improving adhesiveness. Chapter 3 Conclusion.

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