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SYMMETRY OF PHYSICAL probability function IMPLIES MODULARITY OF LATTICE OF DECISION EFFECTS

COMMUNICATIONS IN MATHEMATICAL PHYSICS 1972年第2期28卷 123-&页

作者： DAHN, G Mathematisches Institut der Universität Tübingen Germany

This paper states two equivalent conditions from which modularity of the latticeG of decision effectsE can be derived. It may be seen as a supplement to Ludwig’s approach [5] to an axiomatic foundation of physical theories. As a consequence of these conditions every filterT_E is a self-adjoint projector on the Hilber spaceB′ generated by the decision effects.

关键词： Neural Network Statistical Physic Complex System Nonlinear Dynamics probability function

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A METHOD OF COMPUTING THE COMPLEX probability function AND OTHER RELATED functionS OVER THE WHOLE COMPLEX-PLANE

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ASTROPHYSICS AND SPACE SCIENCE 1984年第1期107卷 71-83页

作者： MCKENNA, SJ The MITRE Corporation Bedford Mass. USA

Using the symmetry relations of the complex probability function (CPF), the algorithm developed by Humlíček (1979) to compute this function over the upper half plane can be extended to cover the entire complex plane. Using the Humlíček algorithm the real and imaginary components of the CPF can be computed over the whole complex plane. Because of the relation between the CPF and other interesting mathematical functions, fast and accurate computer programs can be written to compute them. Such functions include the derivatives of the CPF, the complex error function, the complex Fresnel integrals, and the complex Dawson's functions. Fortran implementations of these functions are included in the Appendix.

关键词： Computer Program Complex Plane Mathematical function probability function Error function

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Star-shaped approximation approach for stochastic programming problems with probability function

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Optimization 2000年第3-4期47卷 303-317页

作者： Tretiakov, Grigori L. Moscow Aviation Institute Russian Federation

Star-shaped probability function approximation is suggested. Conditions of log-concavity and differentiability of approximation function are obtained. The method for constructing stochastic estimates of approximation function gradient and stochastic quasi-gradient algorithm for probability function maximization are described in the paper. © 2000 OPA (Overseas Publishers Association) N.V. Published by license under the Gordon and Breach Science Publishers imprint.

关键词： Monte-Carlo method probability function Star-shaped approximation Stochastic programming problems Stochastic quasi-gradient algorithm

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Space radiation induced failure rate calculation method using energy deposition probability function for high-voltage semiconductor device

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MATERIALS TODAY COMMUNICATIONS 2023年 35卷

作者： Khurelbaatar, Luvsanbat Tumenjargal, Turtogtokh Tumendemberel, Begzsuren Myagmar, Otgonbaatar Gollapudi, Srikanth Omura, Ichiro Dashdondog, Erdenebaatar Natl Univ Mongolia Ulan Bator Mongolia Mongolian Acad Sci Space Sci Ctr Inst Astron & Geophys Ulan Bator Mongolia Kyushu Inst Technol Kitakyushu Fukuoka Japan

With the development of modern space technology, it is necessary to use onboard high voltage power systems to supply increased electric power demand. High-voltage semiconductor devices are the critical components in the system. According to the increase in the power system bus voltage, malfunction of high voltage power semiconductor devices due to space radiation becomes the most critical issue for designing the system. What we need to reduce the risk is failure rate calculation for the high-voltage semiconductors used in the system and selecting appropriate devices and the bus voltage. This risk can be reduced by calculating the probability of damage caused by space radiation for high-voltage semiconductor devices. In this study, the energy deposition probability function of a silicon semiconductor device has been developed in a more comprehensive way using the Geant4 simulation toolkit. This method makes it possible to calculate the safe operating voltage of any semiconductor device in space depending on the shape, size, applied voltage, doping concentration, and space radiation flux. Furthermore, using this comprehensive method for defining the safe threshold applied voltage of a high-voltage PiN diode of spacecraft in low earth orbit and compared it to a reference. Data availability: The raw/processed data required to reproduce these findings cannot be shared at this time as the data also forms part of an ongoing study.

关键词： High Voltage Semiconductor Devices Failure rate Energy Deposition probability probability function Geant4 TCAD

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Solid waste shape description and generation based on spherical harmonics and probability density function

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WASTE MANAGEMENT & RESEARCH 2022年第1期40卷 66-78页

作者： Li, Yifeng Qin, Xunpeng Zhang, Zhenyuan Dong, Huanyu Wuhan Univ Technol Sch Automot Engn 122 Luoshi Rd Wuhan 430070 Peoples R China Wuhan Univ Technol Hubei Key Lab Adv Technol Automot Components Wuhan Peoples R China Wuhan Univ Technol Hubei Collaborat Innovat Ctr Automot Components T Wuhan Peoples R China

Transport and separation processes of solid waste can only be modelled successfully with discrete element methods in case the shape of the particles can be described accurately. The existing techniques for morphological data acquisition, such as computed tomography, laser scanning technique, optical interferometer, stereo photography and structured light technique, are laborious and require a large amount of realistic solid waste samples. Therefore, there is a pressing need for an alternative method to describe the shape of solid waste particles and to generate multiple variations of particles with almost similar shapes. In this paper, a new method to describe solid waste particles is proposed that is frequency-based and uses spherical harmonics (SHs). Additionally, a new shape generation method is introduced that uses the shape description of a single particle to generate an array of related shapes based on a probability density function with a dimensionless control factor eta. The newly proposed methods were successfully applied to describe the complex shapes of pieces of metal and plastic scrap. The shapes of these pieces of scrap can be described adequately with 15 degrees of SH expansion and the overall divergence is within 0.1 mm. Five different values for eta were tested, which generated shapes with the same distribution as the original particle. Rising levels of eta cause the morphological variation of the generated particles to increase. These new methods improve the modelling of transportation and separation processes.

关键词： Solid waste particle DEM spherical harmonics probability function shape description shape generation

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Adaptive Routing with probability Response function of the Service Time 57

Adaptive Routing with Probability Response Function of the S...

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57th International Scientific Conference on Information, Communication and Energy Systems and Technologies (ICEST)

作者： Nikolov, Tashko A. Kireva-Mihova, Denitsa P. Boyadjiev, Borislav Tech Univ Sofia Fac Telecommun 8 Kliment Ohridski Bul Sofia 1000 Bulgaria Univ Transport Todor Kableshkov 158 Geo Milev Str Sofia 1574 Bulgaria

ISBN: (纸本)9781665485005

The article proposes a model of the time for handling many requests in a communication structures. A service time calculation method is used to process irregular traffic and requests with different priorities. Most methods for handling requests with different priorities use the minimum and the maximum expected service time. This article presents calculation of the probability of completing servicing of a request and starting the service of another one as a function of time. This makes it possible to realise different scenarios for ordering requests and to calculate their delay. In addition, a model and method are proposed for playing scenarios with delays of individual requests longer than expected. Proposed methods and models can be used in other areas, where planning the time for implementation and variance of solutions are applied.

关键词： probability function Adaptive routing Telecommunication networks

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probability functions, belief functions and infinite regresses

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SYNTHESE 2021年第1-2期199卷 3045-3059页

作者： Atkinson, David Peijnenburg, Jeanne Univ Groningen Fac Philosophy Oude Boteringestr 52 NL-9712 GL Groningen Netherlands

In a recent paper Ronald Meester and Timber Kerkvliet argue by example that infinite epistemic regresses have different solutions depending on whether they are analyzed with probability functions or with belief functions. Meester and Kerkvliet give two examples, each of which aims to show that an analysis based on belief functions yields a different numerical outcome for the agent's degree of rational belief than one based on probability functions. In the present paper we however show that the outcomes are the same. The only way in which probability functions and belief functions can yield different solutions for the agent's degree of belief is if they are applied to different examples, i.e. to different situations in which the agent finds himself.

关键词： Infinite epistemic regress probability function Belief function Uniqueness

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A Transferable Multi-Scale Convolution Domain Adaptation Network for Bearings RUL Prediction

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IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT 2025年 74卷

作者： Xu, Ziwei Zeng, Ying Huang, Hong-Zhong Huang, Zixing Deng, Zhiming Univ Elect Sci & Technol China Sch Mech & Elect Engn Chengdu 611731 Sichuan Peoples R China

Transfer learning methodologies predominantly concentrate on adapting to varied operational conditions. However, disparities in probability distributions and the deterioration of performance characteristics within identical operational environments, coupled with the gradient vanishing problem caused by minimal or absent overlap between source and target probability distributions in high-dimensional spaces, also detrimentally influence the accuracy of remaining useful life (RUL) predictions. A transferable multi-scale convolution domain adaptation network (TMSCDAN) is proposed to achieve feature distribution alignment and extract domain-invariant features under the same working conditions to mitigate this challenge. Furthermore, a health indicator (HI) is effectively derived through the utilization of a stacked convolutional autoencoder (SCAE) in conjunction with the Pearson correlation coefficient. Subsequently, a multi-channel convolutional neural network is introduced to extract multi-scale degradation features. An improved domain-adversarial (DA) structure based on Earth Mover (EM) distance is applied to eliminate the gradient vanishing problem, learn cross-domain invariant features, and maximize the distance between the source and target probability distributions instead of the binary classification task in the traditional DA module. Finally, the experimental results, including ablation studies and comparative analyses, confirm the effectiveness, superiority, and generalizability of the proposed method.

关键词： Feature extraction probability distribution Degradation Decoding Correlation coefficient Convolution Employee welfare Accuracy Training Root mean square Domain adaptation gradient vanishing problem probability function remaining useful life (RUL) same working conditions

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Study on the loss of ductility of the API 5L grade b steel using the isothermal aging process

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RESULTS IN ENGINEERING 2025年 25卷

作者： Velazquez, Julio Cesar Diaz-Cruz, Manuela Gonzalez-Arevalo, Noe Eliseo Solis, Ulises Oswaldo Cervantes-Tobon, Arturo Capula-Colindres, Selene Cabrera-Sierra, Roman Inst Politecn Nacl Dept Ingn Quim Ind Ingn Hidrocarburos & Sus Energet Asociados ESIQIE UPALM Edif 7& 8 Mexico City 07738 Mexico Inst Politecn Nacl Dept Ingn Met & Mat ESIQIE S-N UPALMEdif 7 Mexico City 07738 Mexico Inst Politecn Nacl Acad Mecan ESIME Azc Av Granjas 682 Mexico City 02550 Mexico Inst Politecn Nacl IPN Dept Met CECYT 2 Mexico City 11200 Mexico Inst Politecn Nacl Dept Ingn Quim Ind ESIQIE UPALM Edif 7 & 8 Mexico City 07738 Mexico

Fossil hydrocarbons will continue to be of great importance in the energy network in the foreseeable future. The most cost-effective way to move these hydrocarbons is through pipelines. The steel used in these pipelines needs to be able to sustain significant plastic deformation before rupturing. These pipelines tend to be in service for very long timespans, thus undergoing an aging process. In the literature, it has been found that the natural aging process tends to decrease the ductility in the pipeline steel. Using an artificial aging process (isothermal), we studied the loss of ductility in API 5L Gr.B steel, analyzing samples already used in tension tests and Charpy impact tests, which were carried out in previous works, and estimating the percentage of the brittle fracture area, elongation, and area reduction. These variables were analyzed as random variables and were fitted to a theoretical probability function. The gamma and lognormal distributions correctly fit the steel characteristics studied. In addition, it was found that the percentage of elongation and area reduction tended to diminish as the material aged. This study confirms the loss of ductility in API 5L grade B steel and allows for the quantification of the changes in this property, which can help to model the material deterioration in the future or carry out mechanical behavior studies using some computational techniques.

关键词： API 5L steel Pipeline Aging process Ductility probability function Fracture

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Trends, probability functions and fuzzy right ideals for d-algebras

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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2011年第8期62卷 2988-2994页

作者： Cha, Kyung Joon Kim, Hee Sik Neggers, J. Hanyang Univ Dept Math Seoul 133791 South Korea Univ Alabama Dept Math Tuscaloosa AL 35487 USA

In this paper, we introduce the notion of a trend (probability function) on a d-algebra, and obtain an equivalent condition defining a trend pi(0) with condition (j) on a standard BCK-algebra. We obtain an example of d-algebra such that any function phi : X -> (0, 1) with integral(infinity)(0) phi(z)dz < infinity is a fuzzy co-right ideal. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Trend probability function (Fuzzy) right ideal d-algebra

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