Stabilities of Cubic Mappings in Various Normed Spaces: Direct and Fixed Point Methods by H. Azadi Kenary, H. Rezaei, S. Talebzadeh, S. Jin Lee

“…According to Gruber (1978) this kind of stability problems are of the particular interest in probability theory and in the case of functional equations of different types. …”
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AN APPROXIMATE METHOD FOR LARGE-SIZE STRUCTURAL PART RELIABLE LIFE PREDICTION by SUN WeiGuang, REN JunGang, HU JieXin, XIE LiYang

“…In the viewpoint of probability theory, An large-size structural part is a system consisting of many "elements", i.e. high stress zones, since all the high stress zones have their related individual probabilities to cause the structural part failure. …”
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Time and energy aware virtual network embedding using Bayesian theory analysis by Ying HU, Lei ZHUANG, Hong-chang CHEN, Ding MA

“…Aiming at the energy consumption problem in virtual network embedding,a virtual-network-embedding algorithm was proposed by combining the time and energy aware.Taking the running time during the evaluation of physical nodes and physical paths into account,it considered multiple factors which included the processing time of physical devices,and used probability theory to help analyze the selected probability of each available physical node for a virtual node.During the selection of substrate nodes,the factors of remaining resources,the increment of CPU utilization,the switch state and the amount of extended time of physical nodes were considered.The theory of conditional probability was further used to analyze the importance of available nodes.The factors of the switch state,the amount of extended time and the length of physical paths were also considered.The proposed approach could effectively map the current virtual network request onto a smaller set of nodes and links which are switched on,and also the devices which have less amount of extended time.Experimental results show that the proposed approach has better performance,and can effectively decrease energy consumption comparing with the methods without taking the time factor into consideration.…”
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Sublinear Expectation Nonlinear Regression for the Financial Risk Measurement and Management by Yunquan Song, Lu Lin

“…We know that nonlinear expectation, including sublinear expectation as its special case, is a new and original framework of probability theory and has potential applications in some scientific fields, specially in finance risk measure and management. …”
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From Boole to Leggett-Garg: Epistemology of Bell-Type Inequalities by Karl Hess, Hans De Raedt, Kristel Michielsen

“…This inequality forms an important milestone in the epistemology of probability theory and probability measures. In 1985 Leggett and Garg derived a physics related inequality, mathematically identical to Boole’s, that according to them represents a demarcation between macroscopic realism and quantum mechanics. …”
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Expressiveness of Commutative Quantum Circuits: A Probabilistic Approach by Jorge M. Ramirez, Elaine Wong, Caio Alves, Sarah Chehade, Ryan Bennink

“…A central outcome of our work includes formulas to approximate the frame potential and expressiveness for any commutative quantum circuit, underpinned by convergence theorems in the probability theory. We identify the lattice volume of the random walk as means to approximate expressiveness based on circuit architecture. …”
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Car Delay Model near Bus Stops with Mixed Traffic Flow by Yang Xiaobao, Huan Mei, Gao Ziyou

“…This paper proposes a model for estimating car delays at bus stops under mixed traffic using probability theory and queuing theory. The roadway is divided to serve motorized and nonmotorized traffic streams. …”
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Web Accessibility Analysis of Massive Open Online Courses in Mathematical Disciplines by E. A. Kosova, M. Yu. Khalilova

“…By automatic testing using Web Accessibility Checker, the accessibility of the functional and informational content of the MOOCs was evaluated. 73% of MOOCs were found to conform to the syllabus subjects “Probability Theory and Mathematical Statistics”, “Discrete Mathematics” and “Algebra and Geometry”; 8 basic disciplines of higher mathematics education are not covered by online education; 96,4% of the courses have accessibility limitations, especially for people with visual impairment. …”
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Research on the Decision Mechanism of University-Enterprise Collaborative Innovation Based on Quantum Cognition by Sheng-Yuan Wang, Wan-Ming Chen, Ying Liu, Xiao-Lan Wu

“…A university-enterprise collaborative innovation decision-making model should be constructed from the perspective of enterprise decision-making, taking different innovation schemes as the final choice, and the method of quantum probability theory can be used to perform quantum cognition on the independent and joint decision-making models in the university-enterprise collaborative innovation decision-making. …”
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RESEARCH ON ADAPTABILITY AND RELIABILITY OF DESIGN FORMULAS IN PRESSURE EQUIPMENT PRESSURE by LIU Cen, WU SengLin, YANG Fan, HONG Kai, ZHANG Shu, LIU XiaoNing

“…In order to provide the basis for selecting suitable design formula of pressure equipment strength,and to establish the reliability method of pressure equipment strength design,the ratio of the flat winding vessel burst pressure actual value to the formula calculated value was considered as a random variable. applied mathematical statistics and probability theory,the validity and homogeneity of random variables statistical samples were discussed,the random variables distribution law was analyzed,the comparison method of random variables distribution parameters was constructed. …”
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Reliability factors for steel elements designed on the basis of computer numerical models by V. V. Nadolski

“…The proposed method for determining reliability factors and their values are based on the methods of reliability theory and probability theory. Statistical characteristics of random variables and accuracy of the computer model are based on the systematization, analysis and generalization of existing studies.Results. …”
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Prediction of Outcomes in Sports Under Probability in Kigezi Region. by Masereka, Jairus

“…The study concludes that the prediction of outcomes in sports, particularly in the Kigezi region, relies heavily on the application of probability theory. Understanding and applying probability helps in making informed predictions, although the inherently unpredictable nature of sports outcomes must be acknowledged. …”
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Impacts of noise and interference on the bit error rate of the FBMC-OQAM modulation scheme in 5G systems by A. Androon, O. V. Tikhonova

“…The work sets out to evaluate the noise immunity of the signal modulation method in 5G networks using a filter bank multicarrier with offset quadrature amplitude modulation (FBMC-OQAM) and to analyze the bit error rate (BER).Methods. In the work, probability theory and mathematical statistics methods are applied according to computer modeling approaches.Results. …”
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Prevalence of rare anatomic variants - publication bias due to selective reporting in meta-analyses studies by Vasileios Papadopoulos, Dimitrios Filippou, Aliki Fiska

“…Materials and methods: We used probability theory over three sets of real-world and a single set of simulation data to assess the maximum publication bias due to selective reporting in meta-analysis of rare anatomic variants. …”
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Blended learning module for universities and extended education programs by Egorova P. Egorova, Anton A. Abashkin, Vladimir G. Mosin

“…Its subject matter (probability theory and data analysis) is presented in such a way that, once implemented, it will be in demand in a wide range of educational areas: from sociology, biology and medicine to economics, energy, construction and mechanical engineering.…”
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On Defining Expressions for Entropy and Cross-Entropy: The Entropic Transreals and Their Fracterm Calculus by Jan A. Bergstra, John V. Tucker

“…The algebra may form a basis for probability theory more generally.…”
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A Comprehensive Propagation Prediction Model Comprising Microfacet Based Scattering and Probability Based Coverage Optimization Algorithm by A. S. M. Zahid Kausar, Ahmed Wasif Reza, Lau Chun Wo, Harikrishnan Ramiah

“…On the other hand, the coverage optimization algorithm is based on probability theory, which finds out the minimum number of transmitters and their corresponding positions in order to achieve optimal indoor wireless coverage. …”
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The Use of the Direct Optimized Probabilistic Calculation Method in Design of Bolt Reinforcement for Underground and Mining Workings by Martin Krejsa, Petr Janas, Işık Yilmaz, Marian Marschalko, Tomas Bouchal

“…Using this theory, it is possible to apply probabilistic computations based on the probability theory and mathematic statistics. Development of those methods has become more and more popular; it is used, in particular, in designs of load-carrying structures with the required level or reliability when at least some input variables in the design are random. …”
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Performance characteristics of the fork-join queuing system by V. I. Klimenok

“…The special interest of the study is to obtain the lower and upper bounds of the mean sojourn time of a customer in the system.Methods. Methods of probability theory, queuing theory and matrix theory are used.Results. …”
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MODEL OF RATING OF NON PHYSICAL QUANTITY by V. M. Romanchak

“…For example, is equally likely outcomes in classical probability theory or equality of scale interval of a measuring scale. …”
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