• Title/Summary/Keyword: weak form

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A Study on Experiments and Two Interpretations of Probability in 《Probability and Statistics》 and Its Educational Implications (《확률과 통계》의 시행과 두 가지 확률에 대한 고찰 및 교육적 시사점)

  • Lee, Gi Don
    • Journal for History of Mathematics
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    • v.31 no.5
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    • pp.251-269
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    • 2018
  • Empirical probability and classical probability, which are two interpretations of Kolmogorov's axiom, are two ways to recognize the chances of events occurring in the real world. In this paper, I analyzed and suggested the contents of the high school textbooks ${\ll}$Probability and Statistics${\gg}$, associated with two interpretations of probability and experiments on which two interpretations are based. By presenting the cases required expressly stating what the experiment is for supporting students' understanding of some concepts, it was discussed that stating or not stating what the experiment is should be carefully determined by the educational intent. Especially, I suggested that in the textbooks we contrast the good idea of calculating the ratios of two possibilities in the imaginary world of the classical probability with the normal idea of grasping the chances of events through the frequencies in the real world of the empirical probability, with distinguishing the experiments in two interpretations of probability. I also suggested that in the textbooks we make it clear that the Weak Law of Large Numbers justifies our expectations of the frequencies' reflecting the chances of events occurring in the real world under ideal conditions. Teaching and learning about the aesthetic elements and the practicality of imaginary mathematical thinking supported by these textbooks statements could be one form of Humanities education in mathematics as STEAM education.

RADIO EMISSION FROM WEAK SPHERICAL SHOCKS IN THE OUTSKIRTS OF GALAXY CLUSTERS

  • Kang, Hyesung
    • Journal of The Korean Astronomical Society
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    • v.48 no.2
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    • pp.155-164
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    • 2015
  • In Kang (2015) we calculated the acceleration of cosmic-ray electrons at weak spherical shocks that are expected to form in the cluster outskirts, and estimated the diffuse synchrotron radiation emitted by those electrons. There we demonstrated that, at decelerating spherical shocks, the volume integrated spectra of both electrons and radiation deviate significantly from the test-particle power-laws predicted for constant planar shocks, because the shock compression ratio and the flux of inject electrons decrease in time. In this study, we consider spherical blast waves propagating through a constant density core surrounded by an isothermal halo with ρ ∝ r−n in order to explore how the deceleration of the shock affects the radio emission from accelerated electrons. The surface brightness profile and the volumeintegrated radio spectrum of the model shocks are calculated by assuming a ribbon-like shock surface on a spherical shell and the associated downstream region of relativistic electrons. If the postshock magnetic field strength is about 0.7 or 7 µG, at the shock age of ∼ 50 Myr, the volume-integrated radio spectrum steepens gradually with the spectral index from αinj to αinj + 0.5 over 0.1–10 GHz, where αinj is the injection index at the shock position expected from the diffusive shock acceleration theory. Such gradual steepening could explain the curved radio spectrum of the radio relic in cluster A2266, which was interpreted as a broken power-law by Trasatti et al. (2015), if the relic shock is young enough so that the break frequency is around 1 GHz.

A Study on The Revision of UCP600 concerning the Sea Transport Documents (UCP 600 해상운송서류(海上運送書類) 규정(規定)의 주요(主要) 개정사항(改正事項)에 관한 연구(硏究))

  • Park, Sae-Woon
    • THE INTERNATIONAL COMMERCE & LAW REVIEW
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    • v.35
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    • pp.71-98
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    • 2007
  • UCP 600 approved at the Banking Commission Meeting of ICC at the end of October, 2006 comes into effect from July 1, 2007. The main revision of the UCP 600 concerning the sea transport document are as follows. First, if the bill of lading contains an on-board-notation, with the date of shipment, the date stated in the on-board-notation will be deemed the date of shipment. Secondly, phrases "on its face" and "otherwise authenticated" should be eliminated. Thirdly, when an agent signs for or signs on behalf of the master, there is no longer a need for the name of master to be quoted. Fourthly, the terminology "loading on-board or shipped on a named vessel" is changed to "shipped on-board a named vessel." Fifthly, phrases "the rejection of the documents transported only by sail" is removed. Finally, new rule in UCP is the signing of a charter party bill of lading by the charterer or a named agent on behalf of the charterer. My assessment of the revision in UCP 600 is as follows: Because a freight forwarder transport document is a weaker form than a liner bill of lading as collateral, banks may need a secure measure as to protect themselves from such a weak collateral effect. we recognize that Such a weak collateral effect stemmed from the elimination of rules in UCP 500 article 30, and the admission of transport documents issued by the freight forwarder as long as any one besides carrier, shipper, and charterer satisfies the requirements of transport document clauses in UCP 600. Finally, I hope the Commentary on UCP 600 will serve to explain the ambiguities remaining in the new rules.

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Analyzing the Relation between Energy Intensity, Energy Price and TFP in Korea (에너지 집약도, 에너지 가격 그리고 기술 수준 간의 동태적 관계 분석)

  • Kim, Kijin;Won, DooHwan;Jung, Sukwan
    • Environmental and Resource Economics Review
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    • v.29 no.2
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    • pp.195-217
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    • 2020
  • The improvement of energy intensity is drawing attention as a way to achieve sustainable development. Energy price and technology level are the main factors affecting energy intensity, and empirical studies on the relationship between the variables have been conducted mainly in overseas countries. However, analyzing the relation between energy intensity, energy price and technology has not been studied in Korea. Therefore, this study analyzed the dynamic relationship between energy intensity, energy price, and total factor productivity (TFP) in Korea. As a result of the analysis, the three variables form a long-term equilibrium relationship. The increase in TFP reduces energy intensity in both short and long term, and the long-term effect is greater than short-term effect. On the other hand, energy price do not have a significant impact on energy intensity. Granger causality test results show that energy intensity and TFP granger cause each other, but energy price is weak-exogenous.

Transport of Urea in Waterlogged Soil Column: Experimental Evidence and Modeling Approach Using WAVE Model

  • Yoo, Sun-Ho;Park, Jung-Geun;Lee, Sang-Mo;Han, Gwang-Hyun;Han, Kyung-Hwa
    • Journal of Applied Biological Chemistry
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    • v.43 no.1
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    • pp.25-30
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    • 2000
  • The main form of nitrogen fertilizer applied to lowland rice is urea, but little is known about its transport in waterlogged soil. This study was conducted to investigate the transport of urea in waterlogged soil column using WAVE (simulation of the substances Water and Agrochemicals in the soil, crop and Vadose Environment) model which includes the parameters for urea adsorption and hydrolysis, The adsorption distribution coefficient and hydrolysis rate of urea were measured by batch experiments. A transport experiment was carried out with the soil column which was pre-incubated for 45 days under flooded condition. The urea hydrolysis rate (k) was $0.073h^{-1}$. Only 5% of the applied urea remained in soil column at 4 days after urea application. The distribution coefficient ($K_d$) of urea calculated from adsorption isotherm was $0.21Lkg^{-1}$, so it was assumed that urea that urea was a weak-adsorbing material. The maximum concentration of urea was appeared at the convective water front because transport of mobile and weak-adsorbing chemicals, such as urea, is dependent on water convective flow. The urea moved down to 11 cm depth only for 2 days after application, so there is a possibility that unhydrolyzed urea could move out of the root zone and not be available for crops. A simulated urea concentration distribution in waterlogged soil column using WAVE model was slightly different from the measured concentration distribution. This difference resulted from the same hydrolysis rate applied to all soil depths and overestimated hydrodynamic dispersion coefficient. In spite of these limitations, the transport of urea in waterlogged soil column could be predict with WAVE model using urea hydrolysis rate (k) and distribution coefficient ($K_d$) which could be measured easily from a batch experiment.

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Synthesis and Optical Properties of BaSiO3:RE3+ (RE = Sm, Eu) Phosphors (BaSiO3:RE3+ (RE = Sm, Eu) 형광체의 합성과 광학 특성)

  • Cho, Shinho
    • Korean Journal of Materials Research
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    • v.29 no.6
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    • pp.356-362
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    • 2019
  • $BaSiO_3:RE^{3+}$ (RE = Sm or Eu) phosphor powders with different concentrations of activator ions are synthesized using the solid-state reaction method. The effects of the concentration of activator ions on the structural, photoluminescent, and morphological properties of the barium silicate phosphors are investigated. X-ray diffraction data reveals that the crystal structure of all the phosphors, regardless of the type and the concentration of the activator ions, is an orthorhombic system with a main (111) diffraction peak. The grain particles agglomerate together to form larger clusters with increasing concentrations of activator ions. The emission spectra of the $Sm^{3+}$-doped $BaSiO_3$ phosphors under excitation at 406 nm consist of an intense orange band at 604 nm and three weak bands centered at 567, 651, and 711 nm, respectively. As the concentration of $Sm^{3+}$ increases from 1 to 5 mol%, the intensities of all the emission bands gradually increase, reach maxima at 5 mol% of $Sm^{3+}$ ions, and then decrease significantly with further increases in the $Sm^{3+}$ concentration due to the concentration quenching phenomenon. For the $Eu^{3+}$-doped $BaSiO_3$ phosphors, a strong red emission band at 621 nm and several weak bands are observed. The optimal orange and red light emissions of the $BaSiO_3$ phosphors are obtained when the concentrations of $Sm^{3+}$ and $Eu^{3+}$ ions are 5 mol% and 15 mol%, respectively.

Effects of Temperature/Humidity Treatment Conditions on the Peel Strength between Screen-printed Ag and Polyimide Films (고온/고습 조건이 스크린 프린팅 Ag와 Polyimide의 필 강도에 미치는 영향)

  • Lee, Hyeonchul;Bae, Byeong-Hyun;Son, Kirak;Kim, Gahui;Park, Young-Bae
    • Journal of the Microelectronics and Packaging Society
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    • v.29 no.2
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    • pp.43-48
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    • 2022
  • Effect of temperature/humidity (T/H) treatment conditions on the peel strength of screen-printed Ag/polyimide (PI) structures was evaluated by peeling PI films in 90° peel test. Initial peel strength was 25.99±1.47 gf/mm, and then decreased to 6.05±0.54 gf/mm after 500 h at 85℃/85% relative humidity T/H condition. And, the peeled locus was changed from Ag/PI interface to shallow cohesive inside PI near interface. X-ray photoelectron spectroscopy analysis on the peeled surfaces showed that the long-term moisture penetration into the Ag/PI interface during T/H treatment led to hydrolytic degradation of PI to form weak boundary layer inside PI near Ag/PI interface, which are responsible for large decrease in peel strength.

A new dynamic construction procedure for deep weak rock tunnels considering pre-reinforcement and flexible primary support

  • Jian Zhou;Mingjie Ma;Luheng Li;Yang Ding;Xinan Yang
    • Geomechanics and Engineering
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    • v.38 no.3
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    • pp.319-334
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    • 2024
  • The current theories on the interaction between surrounding rock and support in deep-buried tunnels do not consider the form of pre-reinforcement support or the flexibility of primary support, leading to a discrepancy between theoretical solutions and practical applications. To address this gap, a comprehensive mechanical model of the tunnel with pre-reinforced rock was established in this study. The equations for internal stress, displacement, and the radius of the plastic zone in the surrounding rock were derived. By understanding the interaction mechanism between flexible support and surrounding rock, the three-dimensional construction analysis solution of the tunnel could be corrected. The validity of the proposed model was verified through numerical simulations. The results indicate that the reduction of pre-deformation significantly influences the final support pressure. The pre-reinforcement support zone primarily inhibits pre-deformation, thereby reducing the support pressure. The support pressure mainly affects the accelerated and uniform movement stage of the surrounding rock. The generation of support pressure is linked to the deformation of the surrounding rock during the accelerated movement stage. Furthermore, the strength of the pre-reinforcement zone of the surrounding rock and the strength of the shotcrete have opposite effects on the support pressure. The parameters of the pre-reinforcement zones and support materials can be optimized to achieve a balance between surrounding rock deformation, support pressure, cost, and safety. Overall, this study provides valuable insights for predicting the deformation of surrounding rock and support pressure during the dynamic construction of deep-buried weak rock tunnels. These findings can guide engineers in improving the construction process, ensuring better safety and cost-effectiveness.

Enhanced Primary Production in Response to Freshwater Inflow in the Nakdong River Estuary: Characteristics of land-Ocean Coupling (LOC) (낙동강 하구에서 담수 유입에 따른 연안 클로로필-a 증가 : 낙동강의 육상-해양 coupling 패턴 분석)

  • KIM, SUHYUN;AN, SOONMO
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.26 no.2
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    • pp.96-109
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    • 2021
  • Since terrestrial input plays a major role in coastal primary production, an understanding of land-ocean coupling (LOC) is key to understand coastal ecological changes. In this study, the LOC has been classified into three stages (i.e., the baseflow, plume event and residual flow). In order to characterize its pattern in Nakdong River estuary, multi-platform data were obtained from remote sensing (geostationary ocean color image (GOCI)), in-situ measurement (marine environment information system (MEIS)), on-site measurement (discharge data and meteorological data). The MEIS data were grouped into three stages of LOC using principal component analysis (PCA), and the LOC (2013 ~ 2018) was examined at each stage using multi-platform data. In the Nakdong River estuary, the maximum value of chlorophyll-a (chl-a) was unexpectedly appeared during the plume event. It is assumed that there was no significant increase in turbidity, expected during the typical plume event, together with the weak flushing effect, caused the enhanced phytoplankton growth. Compared with other estuaries, LOC is common in estuaries affected by freshwater inflow, but LOC has different pattern depending on the size of the plume. While estuaries that form small plumes of about 10 km (low freshwater discharge and weak flushing effect) observed high chl-a in the plume event because the phytoplankton can response to the increased nutrient more rapidly. estuaries that form large plumes of more than 100 km est (high freshwater discharge and strong flushing effect) follow the typical LOC pattern conceptualized in this study (high chl-a in the residual flow).

The Structure Analysis and Biosynthesis of $\beta$-glucan by Alcaligenes faecalis (Alcaligenes faecalis에 의한 $\beta$-glucan의 생합성과 구조 분석)

  • Ryu, Kang;Lee, Ki-Young;Lee, Eun-Kyu
    • KSBB Journal
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    • v.16 no.4
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    • pp.409-414
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    • 2001
  • Biosynthesis of curdlan( ${\beta}$-1,3 glucan) was shown by fluorscence on cellufluor medium. The highest production of curdlan was produced when glucose was used as a carbon source and ($NH_4$)$_2$$SO_4$ was used as a nitrogen source. ${\beta}$ -form of curdlan was detected in the fingerprint region (890 $cm^{-1}$) by FT-IR spectrum and shown homogeneous ${\beta}$ -1,3 glucan by $^{13}C$ NMR spectrum ($C_1$-103 ppm, $C_2$-73.2 ppm, $C_3$-86.4 ppm, $C_4$-68.7 ppm, $C^{5}$-76.63 ppm, $C_{6}$-61.2 ppm). Transition of structure from triple helix coil form to random coil form was appeared at 0.1 ∼0.25 M NaOH concentration. It was shown that natural curdlan is a triple helix form in neutral but becomes weak in alkaline condition.

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