Mathematics最新文献_第10页

An Outlier Detection Approach to Recognize the Sources of a Process Failure within a Multivariate Poisson Process 在多变量泊松过程中识别过程故障源的离群值检测方法

IF 2.4 3区数学

Mathematics Pub Date : 2024-09-11 DOI: 10.3390/math12182813

Chia-Ding Hou, Rung-Hung Su

引用次数: 0

Some Equations in Rings Involving Semiprime Ideals and Multiplicative Generalized Semiderivations 环中涉及半等式和乘法广义半等式的一些方程

IF 2.4 3区数学

Mathematics Pub Date : 2024-09-11 DOI: 10.3390/math12182818

Ali Yahya Hummdi, Öznur Gölbaşı, Emine Koç Sögütcü, Nadeem ur Rehman

引用次数: 0

Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential 奇异性、可观测性和独立性：揭示洛伦兹的密码学潜力

IF 2.4 3区数学

Mathematics Pub Date : 2024-09-10 DOI: 10.3390/math12182798

Alexandru Dinu

引用次数: 0

A Novel Hybrid Model (EMD-TI-LSTM) for Enhanced Financial Forecasting with Machine Learning 利用机器学习增强金融预测的新型混合模型（EMD-TI-LSTM）

IF 2.4 3区数学

Mathematics Pub Date : 2024-09-09 DOI: 10.3390/math12172794

Olcay Ozupek, Reyat Yilmaz, Bita Ghasemkhani, Derya Birant, Recep Alp Kut

引用次数: 0

Prediction of Wind Turbine Gearbox Oil Temperature Based on Stochastic Differential Equation Modeling 基于随机微分方程建模的风力涡轮机齿轮箱油温预测

IF 2.4 3区数学

Mathematics Pub Date : 2024-09-09 DOI: 10.3390/math12172783

Hongsheng Su, Zonghao Ding, Xingsheng Wang

{"title":"Prediction of Wind Turbine Gearbox Oil Temperature Based on Stochastic Differential Equation Modeling","authors":"Hongsheng Su, Zonghao Ding, Xingsheng Wang","doi":"10.3390/math12172783","DOIUrl":"https://doi.org/10.3390/math12172783","url":null,"abstract":"Aiming at the problem of high failure rate and inconvenient maintenance of wind turbine gearboxes, this paper establishes a stochastic differential equation model that can be used to fit the change of gearbox oil temperature and adopts an iterative computational method and Markov-based modified optimization to fit the prediction sequence in order to realize the accurate prediction of gearbox oil temperature. The model divides the oil temperature change of the gearbox into two parts, internal aging and external random perturbation, adopts the approximation theorem to establish the internal aging model, and uses Brownian motion to simulate the external random perturbation. The model parameters were calculated by the Newton–Raphson iterative method based on the gearbox oil temperature monitoring data. Iterative calculations and Markov-based corrections were performed on the model prediction data. The gearbox oil temperature variations were simulated in MATLAB, and the fitting and testing errors were calculated before and after the iterations. By comparing the fitting and testing errors with the ordinary differential equations and the stochastic differential equations before iteration, the iterated model can better reflect the gear oil temperature trend and predict the oil temperature at a specific time. The accuracy of the iterated model in terms of fitting and prediction is important for the development of preventive maintenance.","PeriodicalId":18303,"journal":{"name":"Mathematics","volume":"28 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Some Fractional Integral and Derivative Formulas Revisited 一些分式积分和导数公式再探讨

IF 2.4 3区数学

Mathematics Pub Date : 2024-09-09 DOI: 10.3390/math12172786

Juan Luis González-Santander, Francesco Mainardi

引用次数: 0

Quantitative and Qualitative Analysis of Aircraft Round-Trip Times Using Phase Type Distributions 利用相位类型分布对飞机往返时间进行定量和定性分析

IF 2.4 3区数学

Mathematics Pub Date : 2024-09-09 DOI: 10.3390/math12172795

Srinivas R. Chakravarthy

{"title":"Quantitative and Qualitative Analysis of Aircraft Round-Trip Times Using Phase Type Distributions","authors":"Srinivas R. Chakravarthy","doi":"10.3390/math12172795","DOIUrl":"https://doi.org/10.3390/math12172795","url":null,"abstract":"One of the major issues facing commercial airlines is the time that it takes to board passengers. Further, most airlines wish to increase the number of trips that an aircraft can make between two or more cities. Thus, reducing the overall boarding times by a few minutes will have a significant impact on the number of trips made by an aircraft, as well as enabling improvements in key measures such as the median and 75th and 95th percentiles. Looking at such measures other than the mean is critical as it is well known that the mean can under- or overestimate the performance of any model. While there is considerable literature on the study of strategies to decrease boarding times, the same cannot be said about the study of the boarding time given a particular strategy for boarding. Thus, the focus of this paper is to study analytically (using suitable stochastic models) and numerically the impact of reducing the average time on the key measures to help the system to plan accordingly. This is achieved using a well-known probability distribution, namely the phase type distribution, to model various events involved in the boarding process. Illustrative numerical results show a reduction in the percentile values when the average boarding times are decreased. Understanding the percentiles of the boarding times, as opposed to relying only on the average boarding times, will help management to adopt a better boarding strategy that in turn will lead to an increase in the number of trips that an aircraft can make.","PeriodicalId":18303,"journal":{"name":"Mathematics","volume":"12 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Coarse-Gridded Simulation of the Nonlinear Schrödinger Equation with Machine Learning 利用机器学习对非线性薛定谔方程进行粗网格模拟

IF 2.4 3区数学

Mathematics Pub Date : 2024-09-09 DOI: 10.3390/math12172784

Benjamin F. Akers, Kristina O. F. Williams

引用次数: 0

A Novel Brillouin and Langevin Functions Dynamic Model for Two Conflicting Social Groups: Study of R&D Processes 两个冲突社会群体的新型布里渊和朗格文函数动态模型：研发过程研究

IF 2.4 3区数学

Mathematics Pub Date : 2024-09-09 DOI: 10.3390/math12172788

Ekaterina V. Orlova

{"title":"A Novel Brillouin and Langevin Functions Dynamic Model for Two Conflicting Social Groups: Study of R&D Processes","authors":"Ekaterina V. Orlova","doi":"10.3390/math12172788","DOIUrl":"https://doi.org/10.3390/math12172788","url":null,"abstract":"We consider a two-group social conflict under the corporates’ research and development (R&D) business processes. Conflict participants are divided into two groups depending on their attitude to new ideas, technologies, and behavioral style for R&D creative problems—innovators and adapters. We reveal the contradiction that arises between the need to include both types of employees in one project team and their objectively antagonistic positions regarding the methods and approaches to R&D processes. The proposed research methodology is based on a modern post-non-classical paradigm formed on the principles of coherence, interdisciplinarity, openness, and nonlinearity, as well as a sociophysical approach to the social conflicts modeling. We use the general theories of magnetism, paramagnetism, and functions of P. Langevin and L. Brillouin to describe the dynamics of group participants’ preferences regarding the style of conflict behavior. The analogy of paramagnetism, consisting in the orienting effect of the magnetic field, is used to describe social groups interactions that have not only their own interests, but are also influenced by the opinions of opposite social groups. A two-dimensional, four-parameter map represents the dynamics of group conflict. Modeling results show that regardless of the initial states and with certain parameters of intra-group and intergroup interactions, the trajectories eventually converge to an attractor (limit cycle) in a two-dimensional space. No non-periodic or chaotic modes are identified in the two-group conflict, which determines the controllability of the described conflict. The results of the simulation experiments are used as decision support and contradictions resolution aimed at forming the required modes of the corporates’ research and development business processes and ensuring the group participants’ cohesion and depolarization. The results of testing the model at an industrial enterprise are presented.","PeriodicalId":18303,"journal":{"name":"Mathematics","volume":"7 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Few-Shot Learning Sensitive Recognition Method Based on Prototypical Network 基于原型网络的少量学习敏感识别方法

IF 2.4 3区数学

Mathematics Pub Date : 2024-09-09 DOI: 10.3390/math12172791

Guoquan Yuan, Xinjian Zhao, Liu Li, Song Zhang, Shanming Wei

引用次数: 0