• Title/Summary/Keyword: probability as theoretical structure

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A Third Way to Interpretations of Probability (확률해석의 제 삼의 길)

  • Yang, Kyoung-Eun
    • Korean Journal of Logic
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    • v.13 no.1
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    • pp.53-81
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    • 2010
  • This essay attempts to suggest a third way to interpret probabilities based on diagnoses of weaknesses and strengths of the objective and the subjective interpretations. While the objective interpretations capture important intuitions in employing probability, it can provide the definitions of probability only in a circular way. Although the subjective interpretations seem to avoid this problem, it also fails to understand how one can extract certain information from the ignorance of a given system. It will be suggested that these problems can be bypassed if we consider probabilities as theoretical structure, which provide significant generalizations about the world.

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Theoretical prediction on thickness distribution of cement paste among neighboring aggregates in concrete

  • Chen, Huisu;Sluys, Lambertus Johannes;Stroeven, Piet;Sun, Wei
    • Computers and Concrete
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    • v.8 no.2
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    • pp.163-176
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    • 2011
  • By virtue of chord-length density function from the field of statistical physics, this paper introduced a quantitative approach to estimate the distribution of cement paste thickness between aggregates in concrete. Dynamics mixing method based on molecular dynamics was employed to generate one model structure, then image analysis algorithm was used to obtain the distribution of thickness of cement paste in model structure for the purpose of verification. By comparison of probability density curves and cumulative probability curves of the cement paste thickness among neighboring aggregates, it is found that the theoretical results are consistent with the simulation. Furthermore, for the model mortar and concrete mixtures with practical volume fraction of Fuller-type aggregate, this analytical formula was employed to predict the influence of aggregate volume fraction and aggregate fineness. And evolution of its mean values were also investigated with the variation of volume fraction of aggregate as well as the fineness of aggregates in model mortars and concretes.

The Constructive Interpretation of Probability (구성주의 확률해석)

  • Yang, Kyoung-Eun
    • Korean Journal of Logic
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    • v.17 no.3
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    • pp.461-484
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    • 2014
  • This essay suggests a constructive interpretation of probabilities by diagnosing problems of the objective and the epistemic interpretations of probability. According to this interpretation, attributions of the mathematical structure of probability to a given system can be understood as positing constructive theoretical hypotheses showing the relationship among empirical data. The constructive interpretation is applied to comprehend probability claims in the explanation of temporal asymmetrical behaviour of our universe. A new approach interpreting probabilities as constructive theoretical terms enables us to circumvent shortcomings of both objective and subjective interpretation of probability, and appreciate why these interpretations nevertheless appear to be convincing in our case.

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Motion Analysis of a Very Large Floating Structure in Irregular Waves (불규칙파 중 초대형 부유식 해양 구조물에 대한 운동 해석)

  • 신현경;이호영;임춘규;신현수;박인규
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.04a
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    • pp.63-68
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    • 2000
  • A very large floating structure has rather small motion characteristics as to the whole body, while the motion at end part of such structure becomes largest due to the elastic motion of the structure. This paper presents on the theoretical result on the relative motion characteristics and green water phenomena of VLFS in waves This phenomena affect not only to strength of the structure but also the determination of depth of structure. To predict motion responses of structure in regular waves, the source-dipole distribution method and F.E.M is used By irregular wave results, the probability of occurrence of green water and response of the structure were calculated.

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A simplified method for estimating the fundamental period of masonry infilled reinforced concrete frames

  • Jiang, Rui;Jiang, Liqiang;Hu, Yi;Ye, Jihong;Zhou, Lingyu
    • Structural Engineering and Mechanics
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    • v.74 no.6
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    • pp.821-832
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    • 2020
  • The fundamental period is an important parameter for seismic design and seismic risk assessment of building structures. In this paper, a simplified theoretical method to predict the fundamental period of masonry infilled reinforced concrete (RC) frame is developed based on the basic theory of engineering mechanics. The different configurations of the RC frame as well as masonry walls were taken into account in the developed method. The fundamental period of the infilled structure is calculated according to the integration of the lateral stiffness of the RC frame and masonry walls along the height. A correction coefficient is considered to control the error for the period estimation, and it is determined according to the multiple linear regression analysis. The corrected formula is verified by shaking table tests on two masonry infilled RC frame models, and the errors between the estimated and test period are 2.3% and 23.2%. Finally, a probability-based method is proposed for the corrected formula, and it allows the structural engineers to select an appropriate fundamental period with a certain safety redundancy. The proposed method can be quickly and flexibly used for prediction, and it can be hand-calculated and easily understood. Thus it would be a good choice in determining the fundamental period of RC frames infilled with masonry wall structures in engineering practice instead of the existing methods.

Relationship between Phase Properties, Significant Duration and PGA from the Earthquake Records of Mw 5.5~6.5 (Mw 5.5~6.5 지진동의 위상특성과 계속시간 및 PGA와의 관계)

  • Choi, Hang;Yoon, Byung Ick
    • Journal of the Earthquake Engineering Society of Korea
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    • v.23 no.1
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    • pp.55-70
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    • 2019
  • The phase properties of ground acceleration records from Mw 5.5~6.5 earthquakes are analyzed. The interrelationships between phase properties and significant durations, as well as PGA, are clarified through both of theoretical and empirical approaches. The probabilistic characteristics of phase information is also discussed based on previous studies and it is shown that circular normal distribution is the most appropriate probability distribution for the phase angle and phase difference. Whereas those variates can be modeled by Gaussian random variables. From the survey results on the frequency dependency of the phase statistics, a simple model is introduced, which is possible to express the frequency dependency of phase information. It is also shown that the significant duration can be controlled by appropriately chosen standard deviation of phase difference for 4~8Hz frequency band and additional consideration of phase scattering in higher frequency band through a series of Monte Carlo simulations. The source of phase scattering effect is also pointed out and discussed.

Substituent Effect on the Structure and Biological Property of 99mTc-Labeled Diphosphonates: Theoretical Studies

  • Qiu, Ling;Lin, Jian-Guo;Gong, Xue-Dong;Cheng, Wen;Luo, Shi-Neng
    • Bulletin of the Korean Chemical Society
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    • v.33 no.12
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    • pp.4084-4092
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    • 2012
  • Theoretical calculations based on density functional theory (DFT) were performed to study the substituent effect on the geometric and electronic structures as well as the biological behavior of technetium-99m-labeled diphosphonate complexes. Optimized structures of these complexes are surrounded by six ligands in an octahedral environment with three unpaired 4d electrons ($d^3$ state) and the optimized geometry of $^{99m}Tc$-MDP agrees with experimental data. With the increase of electron-donating substituent or tether between phosphate groups, the energy gap between frontier orbitals increases and the probability of non-radiative deactivation via d-d electron transfer decreases. The charge distribution reflects a significant ligand-to-metal electron donation. Based on the calculated geometric and electronic structures and biologic properties of $^{99m}Tc$-diphosphonate complexes, several structure-activity relationships (SARs) were established. These results may be instructive for the design and synthesis of novel $^{99m}Tc$-diphosphonate bone imaging agent and other $^{99m}Tc$-based radiopharmaceuticals.

Application Examples Applying Extended Data Expression Technique to Classification Problems (패턴 분류 문제에 확장된 데이터 표현 기법을 적용한 응용 사례)

  • Lee, Jong Chan
    • Journal of the Korea Convergence Society
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    • v.9 no.12
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    • pp.9-15
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    • 2018
  • The main goal of extended data expression is to develop a data structure suitable for common problems in ubiquitous environments. The greatest feature of this method is that the attribute values can be represented with probability. The next feature is that each event in the training data has a weight value that represents its importance. After this data structure has been developed, an algorithm has been devised that can learn it. In the meantime, this algorithm has been applied to various problems in various fields to obtain good results. This paper first introduces the extended data expression technique, UChoo, and rule refinement method, which are the theoretical basis. Next, this paper introduces some examples of application areas such as rule refinement, missing data processing, BEWS problem, and ensemble system.

Cosmology with Type Ia Supernova gravitational lensing

  • Asorey, Jacobo
    • The Bulletin of The Korean Astronomical Society
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    • v.44 no.2
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    • pp.52.2-52.2
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    • 2019
  • In the last decades, the use of type Ia supernovae (SN) as standard candles has allowed us to understand the geometry of the Universe as they help to measure the expansion rate of the Universe, especially in combination with other cosmological probes such as the study of cosmic microwave background radiation anisotropies or the study of the imprint of baryonic acoustic oscillations on the galaxy clustering. Cosmological parameter constraints obtained with type Ia SN are mainly affected by intrinsic systematic errors. But there are other systematic effects related with the correlation of the observed brightness of Supernova and the large-scale structure of the Universe such as the effect of peculiar velocities and gravitational lensing. The former is relevant for SN at low redshifts while the latter starts being relevant for SN at higher redshifts. Gravitational lensing depends on how much matter is along the trajectory of each SN light beam. In order to account for this effect, we consider a statistical approach by defining the probability distribution (PDF) that a given supernova brightness is magnified by a given amount, for a particular redshift. We will show that different theoretical approaches to define the matter density along the light trajectory hugely affect the shape and width of the PDF. This may have catastrophic effects on cosmology fits using Supernova lensing as planned for surveys such as the Dark Energy Survey or future surveys such the Large Synoptic Survey Telescope.

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Inference of the Probability Distribution of Phase Difference and the Path Duration of Ground Motion from Markov Envelope (Markov Envelope를 이용한 지진동의 위상차 확률분포와 전파지연시간의 추정)

  • Choi, Hang;Yoon, Byung-Ick
    • Journal of the Earthquake Engineering Society of Korea
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    • v.26 no.5
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    • pp.191-202
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    • 2022
  • Markov envelope as a theoretical solution of the parabolic wave equation with Markov approximation for the von Kármán type random medium is studied and approximated with the convolution of two probability density functions (pdf) of normal and gamma distributions considering the previous studies on the applications of Radiative Transfer Theory (RTT) and the analysis results of earthquake records. Through the approximation with gamma pdf, the constant shape parameter of 2 was determined regardless of the source distance ro. This finding means that the scattering process has the property of an inhomogeneous single-scattering Poisson process, unlike the previous studies, which resulted in a homogeneous multiple-scattering Poisson process. Approximated Markov envelope can be treated as the normalized mean square (MS) envelope for ground acceleration because of the flat source Fourier spectrum. Based on such characteristics, the path duration is estimated from the approximated MS envelope and compared to the empirical formula derived by Boore and Thompson. The results clearly show that the path duration increases proportionately to ro1/2-ro2, and the peak value of the RMS envelope is attenuated by exp (-0.0033ro), excluding the geometrical attenuation. The attenuation slope for ro≤100 km is quite similar to that of effective attenuation for shallow crustal earthquakes, and it may be difficult to distinguish the contribution of intrinsic attenuation from effective attenuation. Slowly varying dispersive delay, also called the medium effect, represented by regular pdf, governs the path duration for the source distance shorter than 100 km. Moreover, the diffraction term, also called the distance effect because of scattering, fully controls the path duration beyond the source distance of 300 km and has a steep gradient compared to the medium effect. Source distance 100-300 km is a transition range of the path duration governing effect from random medium to distance. This means that the scattering may not be the prime cause of peak attenuation and envelope broadening for the source distance of less than 200 km. Furthermore, it is also shown that normal distribution is appropriate for the probability distribution of phase difference, as asserted in the previous studies.