• Title/Summary/Keyword: infinitesimal

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A Study of Torsional Vibrations of Suspended Bridges (현수교(懸垂橋)의 비틀림진동(振動)에 관한 연구(硏究))

  • Min, Chang Shik;Kim, Saeng Bin;Son, Seong Yo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.3 no.3
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    • pp.27-37
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    • 1983
  • A method of dynamic analysis is developed for torsional free vibrations of elliptical-box girder type or stiffening truss system suspension bridge. In this study, the method based on a finite element technique using a digital computer, is illustrated by two numerical examples, the Namhae Bridge which is located in Kyungsang nam-do opened on June, 1973, and the Mt. Chunma Bridge is simple span pedestrian's suspension bridge with lateral bracing system in Mt. Chunma, Kyungki-do, are used. In general, dynamic modes of complex suspension bridges are three-dimensional in form, i.e., coupling between vertical and torsional motions. However, introduced that amplitudes of oscillation are infinitesimal for coincidence with the purpose of it's use, thereupon, the torsional vibration analyses are treated without coupling terms. A sufficient number of natural frequencies and mode shapes for torsional free vibration are presented in this paper. In the case of Mt. Chunma Bridge, the natural frequencies and periods are computed with and without reinforcement, respectively, and compared their discrepancies. The influence of the auxiliary reinforcing cables is prevailing in the first few modes, namely, 1st and 2nd in symmetric and 1st, 2nd and 3rd in antisymmetric vibration, and conspicuous in the symmetric compared with the antisymmetric motion, but in the higher modes, this kind of simple accessory elucidates rether converse effects. In the Namhae Bridge, the results are compared with the Manual's obtained by wind tunnel test. It reveals commendable agreement.

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Characterization of Lipoxygenase in AOT/Isooctane Reversed Micelles (AOT/isooctane 역미셀계내에서의 lipoxygenase 반응 특성)

  • Chang, Pahn-Shick;Lee, Kwang-In
    • Korean Journal of Food Science and Technology
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    • v.34 no.2
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    • pp.157-163
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    • 2002
  • An investigation was carried out to study the characteristics of lipoxygenase in dioctyl sulfosuccinate (aerosol-OT, AOT)/isooctane revered micelles of microaqueous system containing infinitesimal water. ${\alpha}-Linoleic$ acid as a substrate could be analyzed by the colorimetric methodology using 5%(w/v) cupric acetate-pyridine solution and the activity of lipoxygenase was able to be assayed by the degree of ${\alpha}-linoleic$ acid consumption per minute. Optimal pH, temperature, and R-value ([water]/[AOT]) were determined as the value of 5.0, $25^{\circ}C$, and 10.0, respectively. Kinetic analysis of the enzyme reaction under the optimal conditions showed that the values of $K_m$ and $V_{max}$ were 0.31 mM of ${\alpha}-linoleic$ acid and $384.16{\mu}mol$ of ${\alpha}-linoleic$ acid decomposed/min, respectively. The results indicate the reaction to be lipoxygenase-catalyzed oxidation of ${\alpha}-linoleic$ acid in AOT/isooctane reversed micellar system. The inhibitory effect of natural antioxidants on lipoxygenase showed little inhibitory effect of L-ascrobic acid while ${\alpha}-tocopherol$ showed 72% of inhibitory effect.

A Method to Use the Land-Use Zoning Information to Extract the DIF Zones (기반시설부담구역 추출을 위한 용도지역지구 공간정보 적용방안 연구)

  • Lee, Yong Jik;Choei, Nae Young
    • Journal of Korean Society for Geospatial Information Science
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    • v.22 no.1
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    • pp.89-99
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    • 2014
  • The current Development Impact Fee (DIF) Zoning Law allows Korean localities to designate the DIF Zone for the areas where there have been up-zoning in land-uses due to any minute additions and/or amendments in the existing clauses or provisions in the National Territory Planning Law as well as all other laws related to urban and regional planning. In reality, however, it is almost impossible to trace the sporadic and infinitesimal changes that might occur in every corner of the statutory clauses of a great number of planning related laws. This study, in an effort to overcome such practical difficulties, tries to chase the time-series zoning alterations in especially the consecutive land-use information layers of the Korea Land Information System (KLIS) as comparable analogues of the outcomes of the amendments in various planning laws. A study locality is chosen among the entire localities in the Capital Region based on the selection criteria dictated by the DIF Zoning Law such as the population- and building permit increase rate. It has been verified that the methodology suggested herein is practically applicable and successfully capable of extracting a number of DIF zones with considerable areal sizes, which could not have otherwise been possible. The consequences of this study, in this context, are expected to contribute to prevent the uncontrolled developments as the DIF Zoning Law itself was originally intended to achieve.

Seismic Behavior of a Five-story RC Structure Retrofitted with Buckling-Restrained Braces Using Time-dependent Elements (시간종속요소를 이용한 5층 RC건축물의 비좌굴가새 보강에 대한 내진거동)

  • Shin, Ji-Uk;Lee, Ki-Hak;Lee, Do-Hyung;Jeong, Seong-Hoon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.14 no.6
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    • pp.11-21
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    • 2010
  • This study presents seismic responses of 5-story reinforced concrete structures retrofitted with the buckling-restrained braces using a time-dependent element. The time-dependent element having birth and death times can freely be activated within the user defined time intervals during the time history analysis. The buckling-restrained brace that showed the largest energy dissipation capacity among the test specimens in previous research was used for retrofitting the RC buildings in this study. It was assumed that the first story of the damaged building under the first earthquake was retrofitted with the buckling-restrained braces considered as the time-dependent element before the second of the successive earthquakes occurs. Under this assumption, this paper compares seismic responses of the RC structures with the time-dependent element subjected to the successive earthquake. Subjected to the second earthquake, it was observed that activation of the BRB systems largely decreases deformation of the moment frame where the damage was concentrated under the first earthquake. However, damages to the shear wall systems were increased after activation of the BRB systems. Since the cumulative damages of the shear wall systems were infinitesimal compared with the retrofit effect of the moment frame, the BRB system was effective under the successive earthquake.

Evaluation of Plasticizer Pollution Levels in Mudflat Solar Salt, Salt Water, and Sea Water of Nationwide Saltpan (국내 염전에서 생산된 갯벌천일염, 함수 및 해수의 가소제(DEHP) 오염 수준 평가)

  • Kim, Hag-Lyeol;Baek, Hyung-Hee;Kim, In-Cheol
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.41 no.10
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    • pp.1460-1466
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    • 2012
  • The purpose of this study was to evaluate plasticizer pollution levels in mudflat solar salt, salt water and sea water of the nationwide saltpan. Also, it was analyzed the relationship between DEHP in solar salt and PVC mat following private period. DEP (ranging from 0.00 to 1.55 ppb), DIBP (0.00~2.38), DBP (0.00~4.90), DEHA (0.00~2.32), and BBP (0.00~1.45) in solar salt were shown a extremely low concentrations, and DEHP was present a concentrations ranging from 0.00 to 268.5 ppb in solar salt. Further, DMP, DPrP, DNPP, DNHP, and DCHP were not detected in all solar salt. Phthalate in sea water and salt water was present a infinitesimal amount levels. DEHP levels in sea water and salt water were not shown a high risk levels ranging from 0.00 to 3.4 ppb, and from 0.00 to 21.4 ppb, respectively. As expected in PVC mat of nationwide saltpan, the correlation between DEHP in solar salt and PVC mat private period showed a low positive correlation coefficient ($r^2$=0.0362).

Mathematical analysis and textbooks analysis of 'point' and 'line' ('점'과 '선'에 관한 수학적 분석과 교과서 분석)

  • Yi, Gyuhee
    • Journal of the Korean School Mathematics Society
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    • v.24 no.1
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    • pp.39-57
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    • 2021
  • In this study, mathematical analysis is conducted by focusing to the 'size' of the 'point' and the 'line'. The textbook descriptions of the 'point' and the 'line' in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum and US geometry textbooks were compared and analyzed between. First, as a result of mathematical analysis of' 'the size of a point and a segment', it was found that the mathematical perspectives could be different according to 1) the size of a point is based on the recognition and exclusion of 'infinitesimal', and 2) the size of the segment is based on the 'measure theory' and 'set theory'. Second, as a result of analyzing textbook descriptions of the 'point' and the 'line', 1) in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum, after presenting a learning activity that draws a point with 'physical size' or line, it was developed in a way that describes the 'relationship' between points and lines, but 2) most of the US geometry textbooks introduce points and lines as 'undefined terms' and explicitly states that 'points have no size' and 'lines have no thickness'. Since the description of points and lines in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum may potentially generate mathematical intuitions that do not correspond to the perspective of Euclid geometry, this study suggest that attention is needed in the learning process about points and lines.

Residual Amount of Herbicide Dimepiperate and Hydroxy Dimepiperate in Surface Water and Leachate (제초제(除草劑) Dimepiperate와 그 대사물(代謝物)의 지표수(地表水) 및 침투수중(浸透水中) 잔류량(殘留量)의 경시적(經時的) 변화(變化))

  • Chang, Min-Su;Kim, Yun-Tae;Moon, Young-Hee;Pyang, Hwan-Seung
    • Korean Journal of Environmental Agriculture
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    • v.12 no.1
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    • pp.27-34
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    • 1993
  • This experiment was conducted to determine the residual amount of dimepiperate (S-1-methyl-1-phenylethyl piperidine-1-carbothioate) and dimepiperate-OH(S-1-methyl-1-phenylethyl-4-hydroxy piperidine-1-carbothioate) in surface water and leachate using a lysimeter system. In surface water, the concentration of dimepiperate was 851-897 ppb in the treatment of 3.0 Kg prod/10a. 1,755-1,781 ppb in the treatment of 6.0 Kg prod/10a 1 day after the treatment. The amount of dimepiperate gradually decreased and was infinitesimal from 35 days after the treatment. In leachate dimepiperate was detected from the 45 days, but its concentration was very low, below 1 ppb, compared to that in surface water. The metabolite of dimepiperate, dimepiperate-OH in surface water was detected after the application of dimepiperate. The highest level of 88-173 ppb occurred 2 day after the treatment of dimepiperate and then decreased gradually. The residual concentration was below 2.13 ppb during 28-63 days. In leachate, the concentration of dimepiperate-OH in the different treatments in the range of 0.5-11 ppb from the 21 days, although each treatment showed different detected date and concentration. The detected concentration showed a little change until 63 days.

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Vertical Profiles of Marine Environments and Micro-phytoplankton Community in the Continental Slope Area of the East China Sea in Early Summer 2009 (이른 여름 동중국해 대륙사면의 해양환경과 소형 식물플랑크톤 군집의 연직분포 특성)

  • Yoon, Yang Ho
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.16 no.3
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    • pp.151-162
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    • 2013
  • Studies of the distribution of micro-phytoplankton community and chlorophyll a concentration have focused on the vertical profiles of marine environmental factors such as water temperature, salinity, sigma-t, light intensity, and dissolved oxygen in the continental slope on the east parts of East China Sea in the early summer of 2009. Water temperature showed a gradual reduction according to the depth. While the salinity was low in the surface layer showing a mixed down to the relatively subsurface layer, it was increased with an increase in the depth at the middle and bottom layers showing a maximum value at 150~200 m followed by a decreasing aspect afterwards, although the change was not large. The change of sigma-t was governed by the water temperature, and gradually increased in the surface layer with an increase in the depth, showing a value higher than in the surface layer by about 3 $kg/m^3$ at the bottom layer. Although the intensity of light was exponential reduced in the surface layer, the compensation depth was located at the depth of about 80m. The vertical profiles of chlorophyll a concentration was governed by the intensity rather than the changes in water temperature or salinity, exhibiting a maximum value at the compensation depth corresponding to 1% in the surface light intensity. The micro-phytoplankton communities consisted of 56 genera 103 species showing a relatively variety, while the standing crop was also changed to 112.0~470.0 cells/L in the pelagic environment, showing a maximum chlorophyll a concentration. Although a variety of dominant species appear at low dominance without dominant species appearing with a right-wing point in the phytoplankton communities, the silicoflagellate, Otactis otonaris at the station A and the dominance of 26% due to Leptocylindrus mediterraneus at the station C have been judged to be unusual. For community analysis of infinitesimal creatures such as phytoplankton of oligotrophic waters through the present study, ecology studies through vertical sample collection agreeing with the results of continuous observation such as identification of vertical distribution in a marine environment or of maximum chlorophyll layers have been considered rather than a survey method with intervals of a given depth such as surface, subsurface, middle and bottom layers.

HPLC-MS/MS Detection and Sonodegradation of Bisphenol A in Water (HPLC-MS/MS를 이용한 Bisphenol A 분석 및 초음파에 의한 분해 특성 조사)

  • Park, Jong-Sung;Yoon, Yeo-Min;Her, Nam-Guk
    • Journal of Korean Society of Environmental Engineers
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    • v.32 no.6
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    • pp.639-648
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    • 2010
  • The optimal conditions for the analysis of BPA by HPLC-MS/MS was investigated and the ultrasound degradation capacity of the BPA, with the goal to establish the proper directions for analyzing infinitesimal quantities of BPA by HPLC-MS/MS was examined. The MDL and LOQ of BPA analyzed by HPLC-MS/MS were measured 0.13 nM and 1.3 nM respectively, its sensitivity about 620 and 32 times greater than HPLC-UV (MDL: 81.1 nM, LOQ: 811 nM) and FLD (MDL: 4.6 nM, LOQ: 46 nM). In other words, the new method enables the analysis of BPA with the accuracy up to one 1,180th of the amount specified in U.S. EPA guideline for drinking water. Degradation rate of BPA by ultrasound measured over 95% under 580 kHz and 1000 kHz frequency within 30 minutes of treatment, whereas the rate showed some decrease at 28 kHz frequency. At 580 kHz of ultrasound has proven to be the most effective among others at degradation rate and $k_1$ value, so we concluded that this frequency of ultrasound creates hospitable condition for the combined process of degradation by pyrolysis and oxidization. With the addition of 0.01 mM of $CCl_4$, BPA with the initial concentration of 1 ${\mu}M$ was degraded by more than 98% within 30 minutes, the $k_1$ value measured 5 minutes and 30 minutes into the experiment both showed increases by 1.4 and 1.1 times, respectively, compared with BPA without $CCl_4$. It is also found that the main degradation mechanism of BPA by ultrasound is oxidization process by OH radical, based on the fact that the addition of 10 mM of t-BuOH decreased the rate of BPA degradation by around 60%. However, 33% of BPA degradation rate obtained with the addition of t-BuOH implies further degradation done by pyrolysis or other sorts of radical beside OH radical.

Prevention of Discoloration and Storage Stability in Canned Ark Shell (새고막 통조림 변색방지 및 저장중 품질변화)

  • 배태진;김귀식
    • The Korean Journal of Food And Nutrition
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    • v.11 no.2
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    • pp.243-248
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    • 1998
  • Ark shell was known as shellfish that had hemoglobin as blood pigment and the action of mecidine, was consumed the great part of it as raw material, though it was produced about 13,000 M/T per year. Ark shell was processed the infinitesimal quantity as conned product, bout canned ark shell had problem that occurrenced discoloration after heat treatment during processing and storage. This discoloration mechanism during processing and storage was not cleared. This study was carried out to understand characteristics of the hemoglobin as blood pigment and carotenoid as meat pigment in ark shell and management of proper processing conditions for prevention of oxidation and discoloration by thermal treatment. When treated by digestion of 0.1% BHA, 0.1% Tenox-II, 0.5% Na2EDTA, 0.05% NDGA and 3% salt soln., 0.1% BHA solution was most suitable for stability of carotenoid that the retention ratio of carotenoids were 63.1% after heating to 116$^{\circ}C$ for 120 minutes. In preparation of canned ark shell and storage at 37$\pm$1$^{\circ}C$ for 60 days, the chemical composition, pH and salinity ere stable. And contents of total carotenoid were decreased slightly from 0.83mg% to 0.727mg%. The viable cell count were 6.92$\times$103 cfu/ml at raw ark shell, after processed and storage were not detected. The predominant amino acids in the raw ark shell were glutamic acid(19.7%), arginine(16.0%), glycine(12.6%), alanine(12.2%) and aspartic acid(7.6%). When 60 days stored, the contents of amino acid were stable. And the predominant nuclotide and their related compounds in the raw ark shell were hypoxanthine(2.14$\mu$mol/g), IMP(1.94$\mu$mol/g) and ATP(0.87$\mu$mol/g), and storage at 37$\pm$1$^{\circ}C$ for 60 days, the quantity order were same as raw material.

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