• 제목/요약/키워드: probability as theoretical structure

검색결과 21건 처리시간 0.023초

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

  • 양경은
    • 논리연구
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    • 제13권1호
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    • pp.53-81
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    • 2010
  • 이 논문은 확률의 해석에 대한 고전적 해석인 주관적 해석과 객관적 해석의 문제점을 진단함으로써 이를 극복할 수 있는 새로운 확률해석의 가능성을 제공한다. 직관적으로는 그럴듯한 객관적 확률해석은 확률개념에 의존하지 않는 정의를 제공할 수 없다는 점에서 그 정당성을 의심받아 왔다. 주관적 확률해석의 경우에는 주어진 사건군에 대한 무지에서 우리가 어떻게 확률이라는 일정한 정보를 뽑아낼 수 있는지에 대한 문제에 대해 명확한 답을 제공하지 못하고 있는 상황이다. 이러한 문제점을 해결하기 위해 확률을 주어진 사건군의 특정 측면에 대한 일반화를 제공하는 이론적인 구조로 이해할 것을 제안한다.

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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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    • 제8권2호
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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.

구성주의 확률해석 (The Constructive Interpretation of Probability)

  • 양경은
    • 논리연구
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    • 제17권3호
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    • pp.461-484
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    • 2014
  • 본 논문은 확률의 객관적 해석과 주관적 해석이 가지는 문제점을 진단함으로써 이들을 극복할 수 있는 구성주의 확률해석을 제안한다. 이 확률해석에 의하면 확률의 수학적 구조는 경험적 자료들 사이에 연관성을 부여하는 구성적 이론적 가설을 제공하는 것으로 이해할 수 있다. 구성주의 확률해석을 위한 사례로 우주의 시간적 비대칭성에서의 확률구조를 분석했다. 본 사례의 확률을 구성적으로 해석할 경우 객관적 그리고 주관적으로 확률을 해석하는 문제들을 제거할 수 있다. 또한 구성적 확률해석은 고전적 확률해석이 그 문제점에도 불구하고 왜 표면적으로 신빙성 있는지에 대한 설명도 제공한다.

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

  • 신현경;이호영;임춘규;신현수;박인규
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2000년도 춘계학술대회 논문집
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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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    • 제74권6호
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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.

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

  • 최항;윤병익
    • 한국지진공학회논문집
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    • 제23권1호
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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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    • 제33권12호
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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.

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

  • 이종찬
    • 한국융합학회논문지
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    • 제9권12호
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    • pp.9-15
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    • 2018
  • 확장된 데이터 표현의 주요 목표는 유비쿼터스 환경에서 일반적인 문제에 적합한 데이터 구조를 개발하는 것이다. 이 방법의 가장 큰 특징은 속성 값을 확률로 표현할 수 있다는 것이다. 다음 특성은 훈련 데이터의 각 이벤트가 중요도를 나타내는 가중치 값을 갖도록 한다는 것이다. 데이터 구조가 개발된 후에 이를 학습할 수 있는 알고리즘이 고안된다. 그 동안 이 알고리즘은 여러 분야에서 여러 문제에 적용하여 좋은 결과를 산출해 왔다. 본 논문은 먼저 데이터 표현 기법인 UChoo를 소개하고 이론적인 배경이 되는 규칙 개선 문제를 소개한다. 그리고 규칙 개선, 손실 데이터 처리, BEWS 문제, 앙상블 시스템과 같은 응용 분야의 예를 소개한다.

Cosmology with Type Ia Supernova gravitational lensing

  • Asorey, Jacobo
    • 천문학회보
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    • 제44권2호
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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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Markov Envelope를 이용한 지진동의 위상차 확률분포와 전파지연시간의 추정 (Inference of the Probability Distribution of Phase Difference and the Path Duration of Ground Motion from Markov Envelope)

  • 최항;윤병익
    • 한국지진공학회논문집
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    • 제26권5호
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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.