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A COMPACT EMBEDDING RESULT FOR NONLOCAL SOBOLEV SPACES AND MULTIPLICITY OF SIGN-CHANGING SOLUTIONS FOR NONLOCAL SCHRÖDINGER EQUATIONS

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Acta Mathematica Scientia 2024年第5期44卷 1853-1876页

作者： Xu ZHANG Hao ZHAI Fukun ZHAO department of Mathematics Wuhan University of TechnologyWuhan430070China department of Mathematics Yunnan Normal UniversityKunming650500China

For any s∈(0,1),let the nonlocal Sobolev space X^(s)(ℝ^(N))be the linear space of Lebesgue measure functions fromℝN toℝsuch that any function u in X^(s)(ℝ^(N))belongs to L2(ℝN)and the function(x,y)\longmapsto\big(u(x)-u(y)\big)\sqrt{K(x-y)}is in L2(ℝN,ℝN).First,we show,for a coercive function V(x),the subspace E:=\bigg\{u\in X^s(\mathbb{R}^N):\int_{\mathbb{R}^N}V(x)u^2{\rm d}x<+\infty\bigg\}of X^(s)(ℝ^(N))is embedded compactly into L^(p)(ℝ^(N))for p\in[2,2_s^*),where 2_s^*is the fractional Sobolev critical *** terms of applications,the existence of a least energy sign-changing solution and infinitely many sign-changing solutions of the nonlocal Schrödinger equation-{\cal{L}_K}u+V(x)u=f(x,u),\x\in\\mathbb{R}^N are obtained,where-{\cal{L}_K}is an integro-differential operator and V is coercive at infinity.

关键词： sign-changing solution integro-differential operator least energy variational method

ANonmonotone Projected Gradient Method for Multiobjective Problems on Convex Sets

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Journal of the Operations Research Society of China 2024年第2期12卷 410-427页

作者： Gabrie Anibal Carrizo Nadia Soledad Fazzio Maria Laura Schuverdt department of Mathematics National University of the SouthBahia BlancaArgentina department of Mathematics University of La PlataLa PlataArgentina

In this work we consider an extension of the classical scalar-valued projected gradient method for multiobjective problems on convex *** in Fazzio et al.(Optim Lett 13:1365-1379,2019)a parameter which controls the step length is considered and an updating rule based on the spectral gradient method from the scalar case is *** the present paper,we consider an extension of the traditional nonmonotone approach of Grippo et al.(SIAM J Numer Anal 23:707-716,1986)based on the maximum of some previous function values as suggested in Mita et al.(J Glob Optim 75:539-559,2019)for unconstrained multiobjective optimization *** prove the accumulation points of sequences generated by the proposed algorithm,if they exist,are stationary points of the original *** experiments are reported.

关键词： Multiobjective optimization Projected gradient methods Nonmonotone line search Global convergence

Cross-comparative review of Machine learning for plant disease detection:apple,cassava,cotton and potato plants

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Artificial Intelligence in Agriculture

Artificial Intelligence in Agriculture 2024年第2期12卷 127-151页

作者： James Daniel Omaye Emeka Ogbuju Grace Ataguba Oluwayemisi Jaiyeoba Joseph Aneke Francisca Oladipo department of Computer Science Federal UniversityLokojaNigeria department of Computer Science Dalhousie UniversityHalifaxCanada department of Computer Science Hampton UniversityVirginiaUSA

Plant disease detection has played a significant role in combating plant diseases that pose a threat to global agri-culture and food *** these diseases early can help mitigate their impact and ensure healthy crop *** learning algorithms have emerged as powerful tools for accurately identifying and classifying a wide range of plant diseases from trained image datasets of affected *** algorithms,including deep learning algorithms,have shown remarkable success in recognizing disease patterns and early signs of plant *** early detection,there are other potential benefits of machine learning algorithms in overall plant disease management,such as soil and climatic condition predictions for plants,pest identification,proximity detection,and many *** the years,research has focused on using machine-learning algorithms for plant disease ***,little is known about the extent to which the research community has ex-plored machine learning algorithms to cover other significant areas of plant disease *** view of this,we present a cross-comparative review of machine learning algorithms and applications designed for plant dis-ease detection with a specific focus on four(4)economically important plants:apple,cassava,cotton,and *** conducted a systematic review of articles published between 2013 and 2023 to explore trends in the research community over the *** filtering a number of articles based on our inclusion criteria,including articles that present individual prediction accuracy for classes of disease associated with the selected plants,113 articles were considered *** these articles,we analyzed the state-of-the-art techniques,challenges,and future prospects of using machine learning for disease identification of the selected *** from our re-view show that deep learning and other algorithms performed significantly well in detecting plant *** addition,we fou

关键词： Machine learning Plant diseases Agriculture Plant disease management Convolutional neural networks

Distribution, health and ecological risk assessments of trace elements in Nigerian oil sands

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Acta Geochimica 2024年第1期43卷 59-71页

作者： Odunayo T.Ore Festus M.Adebiyi department of Chemistry Obafemi Awolowo UniversityIle-Ife 220005Nigeria department of Chemical Sciences Achievers UniversityOwoNigeria

The Nigerian oil sands represent the largest oil sand deposit in Africa, yet there is little published information on the distribution and potential health and ecological risks of trace elements in the oil resource. In the present study, we investigated the distribution pattern of 18trace elements(including biophile and chalcophile elements) as well as the estimated risks associated with exposure to these elements. The results of the study indicated that Fe was the most abundant element, with a mean concentration of 22,131 mg/kg while Br had the lowest mean concentration of 48 mg/kg. The high occurrence of Fe and Ti suggested a possible occurrence of ilmenite(Fe TiO_(3)) in the oil sands. Source apportionment using positive matrix factorization showed that the possible sources of detected elements in the oil sands were geogenic, metal production, and crustal. The contamination factor, geo-accumulation index, modified degree of contamination, pollution load index, and Nemerow pollution index indicated that the oil sands are heavily polluted by the elements. Health risk assessment showed that children were relatively more susceptible to the potentially toxic elements in the oil sands principally via ingestion exposure route(HQ > 1E-04). Cancer risks from inhalation are unlikely due to CR 1E-04). The high concentrations of the elements pose serious threats due to the potential for atmospheric transport, bioaccessibility, and bioavailability.

关键词： Biophile Chalcophile Oil sand Risk assessment Trace element

Fuzzy inference system using genetic algorithm and pattern search for predicting roof fall rate in underground coal mines

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International Journal of Coal Science & Technology 2024年第1期11卷 31-41页

作者： Ayush Sahu Satish Sinha Haider Banka department of CSE IIT(ISM)DhanbadJharkhand826004India department of Sustainability Adani universityAhmedabadGujrat382421India

One of the most dangerous safety hazard in underground coal mines is roof falls during retreat *** falls may cause life-threatening and non-fatal injuries to miners and impede mining and transportation *** a result,a reliable roof fall prediction model is essential to tackle such *** parameters that substantially impact roof falls are ill-defined and intangible,making this an uncertain and challenging research *** National Institute for Occupational Safety and Health assembled a national database of roof performance from 37 coal mines to explore the factors contributing to roof *** acquired for 37 mines is limited due to several restrictions,which increased the likelihood of *** logic is a technique for coping with ambiguity,incompleteness,and ***,In this paper,the fuzzy inference method is presented,which employs a genetic algorithm to create fuzzy rules based on 109 records of roof fall data and pattern search to refine the membership functions of *** performance of the deployed model is evaluated using statistical measures such as the Root-Mean-Square Error,Mean-Absolute-Error,and coefficient of determination(R_(2)).Based on these criteria,the suggested model outperforms the existing models to precisely predict roof fall rates using fewer fuzzy rules.

关键词： Underground coal mining Roof fall Fuzzy logic Genetic algorithm

Curvature-enhanced multipartite coherence in the multiverse

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Chinese Physics C 2024年第7期48卷 259-272页

作者：吴树民王春旭王锐迪李金璇黄晓理曾浩生 department of Physics Liaoning Normal UniversityDalian 116029China department of Physics Hunan Normal UniversityChangsha 410081China

Here,we study the quantum coherence of N-partite Greenberger-Horne-Zeilinger(GHZ)and W states in the multiverse consisting of N causally disconnected de Sitter ***,N-partite coherence increases monotonically with curvature,whereas the curvature effect destroys quantum entanglement and discord,indicating that the curvature effect is beneficial to quantum coherence and harmful to quantum correlations in the *** find that with an increase in n expanding de Sitter spaces,the N-partite coherence of the GHZ state increases monotonically for any curvature,whereas the quantum coherence of the W state decreases or increases monotonically depending on the *** find a distribution relationship,which indicates that the correlated coherence of the N-partite W state is equal to the sum of all bipartite correlated coherence in the *** coherence exhibits unique properties in the multiverse,suggesting that it may provide some evidence for the existence of the multiverse.

关键词： multiverse curvature effect multipartite coherence

A New Approach for the Determination of Metronidazole Using Switchable Solvent Coupled with Au-MWCNTs-Modified Electrochemical Sensor

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Journal of Analysis and Testing 2024年第2期8卷 191-200页

作者： Siamak Kiani Shahvandi Mehrorang Ghaedi Hamid Ahmar Chemistry department Yasouj UniversityYasouj75918-74831Iran Chemistry department University of ZabolZabol98615-538Iran

In this work,a new liquid-phase microextraction method coupled with an electrochemical technique using a switchable solvent was proposed for the determination of *** extraction solvent used was dipropylamine(DPA),which exhibited switchable *** means that it can become miscible or immiscible when in contact with carboxylic acids in the aqueous *** metronidazole was then measured using a glassy carbon electrode that was modified with Au-multiwalled carbon nanotubes(MWCNTs).The eff ect of diff erent parameters such as the type and amount of trigger,the addition of salt,and the volume of extraction solvent on the e fficiency of switchable hydrophilic solvent-based liquid-phase microextraction(SHS-LPME)was investigated using the one-factor-at-a-time *** optimizing the conditions,the linear calibration curve was obtained in the concentration range of 0.005–250μmol/***,the limit of quantification(LOQ)of 0.005μmol/L and the limit of detection(LOD)of 0.0015μmol/L were obtained,respectively.

关键词： Switchable solvent Metronidazole Liquid-phase microextraction Electrochemical techniques

Broadband angular spectrum analog processors based on all-dielectric metasurfaces

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Science China(Physics,Mechanics & Astronomy) 2024年第7期67卷 188-190页

作者： Lin Deng Yongmin Liu department of Electrical and Computer Engineering Northeastern UniversityBoston 02115USA department of Mechanical and Industrial Engineering Northeastern UniversityBoston 02115USA

Digital signal processors are extensively used to execute mathematical operations and advanced computational tasks on digital ***,they suffer from several inherent limitations,including low speed,high energy consumption,and large memory requirements,because of the hardware bottleneck and the imperative conversion between digital and analogue signals.

关键词： dielectric spectrum hardware

Safety-Critical Trajectory Tracking for Mobile Robots With Guaranteed Performance

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IEEE/CAA Journal of Automatica Sinica 2024年第9期11卷 2033-2035页

作者： Wentao Wu Di Wu Yibo Zhang Shukang Chen Weidong Zhang department of Automation Shanghai Jiao Tong UniversityShanghai 200240China department of Information and Communication Engineering Hainan UniversityHaikou 570288China

Dear Editor,This letter considers a collision-free trajectory tracking problem for performance-guaranteed mobile robots(MRs)subject to *** propose a safety-critical performance-guaranteed trajectory tracking method based on control barrier functions(CBFs).First,an auxiliary system is established to generate the non-negative signals for inflexible bounds such that the performance constraints are not violated when avoiding obstacles.

关键词： constraints bounds collision