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A Resolution of the Black Hole Information Paradox via Transfinite Set Theory
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作者 Mohamed S. El Naschie 《World Journal of Condensed Matter Physics》 2015年第4期249-260,共12页
A black hole is essentially a relativistic as well as a quantum object. Therefore the information paradox of black holes is a consequence of the clash between these two most fundamental theories of modern physics. It ... A black hole is essentially a relativistic as well as a quantum object. Therefore the information paradox of black holes is a consequence of the clash between these two most fundamental theories of modern physics. It is logical to conclude that a resolution of the problem requires some form of a quantum gravity theory. The present work proposes such a resolution using set theory and pointless spacetime geometry. 展开更多
关键词 Information PARADOX Black HOLES S. Hawking G. 't Hooft L. Susskind Transfinite set Theory NONCOMMUTATIVE Geometry Measure Concentration Dvoretzkys Theorem DARK Energy CASIMIR Effect Nano CASIMIR Reactor
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Set-Valued Non-Linear Random Implicit Quasivariational Inclusions
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作者 Salahuddin &emsp Mohammad Kalimuddin Ahmad 《Applied Mathematics》 2013年第3期421-428,共8页
In this paper, we propose iterative algorithms for set valued nonlinear random implicit quasivariational inclusions. We define the related random implicit proximal operator equations and establish an equivalence betwe... In this paper, we propose iterative algorithms for set valued nonlinear random implicit quasivariational inclusions. We define the related random implicit proximal operator equations and establish an equivalence between them. Finally, we prove the existence and convergence of random iterative sequences generated by random iterative algorithms. 展开更多
关键词 set Valued Nonlinear RANDOM IMPLICIT Quasivariational Inclusions RANDOM IMPLICIT Proximal Operator Equations Equivalence Relations RANDOM Iterative Algorithms Measurable SPACES Separable Real Hilbert SPACES RANDOM Strongly MONOTONE RANDOM Relaxed MONOTONE RANDOM Lipschitz Continuous MAPPINGS
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Rare earth prices set to see more declines
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《China Rare Earth Information》 2017年第10期3-4,共2页
Prices of rare earths are set to fall further in the next few months as oversupply and lower prices for other commodities hurt offtake, said experts. "Traders are selling their existing stocks as the State Reserv... Prices of rare earths are set to fall further in the next few months as oversupply and lower prices for other commodities hurt offtake, said experts. "Traders are selling their existing stocks as the State Reserve Bureau, which manages China's strategic stockpiles, did not purchase any rare earths in September and dampened expectations of higher prices," said Xu Ruoxu, an analyst with Shenwan Hongyuan Securities. 展开更多
关键词 PRICES of rare earths are set to FALL further in the next FEW MONTHS as oversupply and lower PRICES for other commodities hurt offtake
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Kabbalah Logic and Semantic Foundations for a Postmodern Fuzzy Set and Fuzzy Logic Theory
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作者 Gabriel Burstein Constantin Virgil Negoita Menachem Kranz 《Applied Mathematics》 2014年第9期1375-1385,共11页
Despite half a century of fuzzy sets and fuzzy logic progress, as fuzzy sets address complex and uncertain information through the lens of human knowledge and subjectivity, more progress is needed in the semantics of ... Despite half a century of fuzzy sets and fuzzy logic progress, as fuzzy sets address complex and uncertain information through the lens of human knowledge and subjectivity, more progress is needed in the semantics of fuzzy sets and in exploring the multi-modal aspect of fuzzy logic due to the different cognitive, emotional and behavioral angles of assessing truth. We lay here the foundations of a postmodern fuzzy set and fuzzy logic theory addressing these issues by deconstructing fuzzy truth values and fuzzy set membership functions to re-capture the human knowledge and subjectivity structure in membership function evaluations. We formulate a fractal multi-modal logic of Kabbalah which integrates the cognitive, emotional and behavioral levels of humanistic systems into epistemic and modal, deontic and doxastic and dynamic multi-modal logic. This is done by creating a fractal multi-modal Kabbalah possible worlds semantic frame of Kripke model type. The Kabbalah possible worlds semantic frame integrates together both the multi-modal logic aspects and their Kripke possible worlds model. We will not focus here on modal operators and axiom sets. We constructively define a fractal multi-modal Kabbalistic L-fuzzy set as the central concept of the postmodern fuzzy set theory based on Kabbalah logic and semantics. 展开更多
关键词 L-Fuzzy setS FUZZY setS FUZZY LOGIC Modal LOGIC FUZZY Semantics Kripke Possible Worlds Model KABBALAH Sefirot Partzufim Tree of Life Tikkun POSTMODERNISM Deconstruction LOGIC Humanistic Systems
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SET中加密、签名技术的实现
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作者 王震 《常州工学院学报》 2005年第2期50-53,78,共5页
SET协议是针对开放网络上安全、有效的银行卡交易,由Visa和Mastercard联合研制的,为Internet上银行卡的支付交易提供高层的安全和反欺诈保证。它保证了电子交易的机密性、数据完整性、身份的合法性和抗否认性。通过SET协议中数字签名的... SET协议是针对开放网络上安全、有效的银行卡交易,由Visa和Mastercard联合研制的,为Internet上银行卡的支付交易提供高层的安全和反欺诈保证。它保证了电子交易的机密性、数据完整性、身份的合法性和抗否认性。通过SET协议中数字签名的技术实现和对Hash函数的算法的探讨以及数字认证的加快分析等,对SET的安全性进行了论证。 展开更多
关键词 Internet set协议 HASH VISA
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Improving manual cardiopulmonary resuscitation quality in resource-limited settings:an overlooked yet crucial challenge before advanced interventions
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作者 Longfei Pan Honghong Pei +14 位作者 Zhengliang Zhang Jie Liu Yu Shi Hai Wang Xin Hong Yang Zhou Changwei Ke Yang Zhao Junhua Lyu Junjie Liang Jinming Huang Xiaokun Xi Xiaodu Li Jingjing Zhang Kai Liu 《World Journal of Emergency Medicine》 2026年第2期184-186,共3页
The quality of cardiopulmonary resuscitation(CPR) significantly influences survival and neurological outcomes in patients with cardiac arrest(CA).Although mechanical chest compression devices and extracorporeal cardio... The quality of cardiopulmonary resuscitation(CPR) significantly influences survival and neurological outcomes in patients with cardiac arrest(CA).Although mechanical chest compression devices and extracorporeal cardiopulmonary resuscitation(ECPR) have demonstrated some benefits,high-quality manual CPR remained the essential first step,particularly in resource-limited settings.In this study,we examined whether opportunities existed to improve manual CPR performance using preliminary data from our recent survey conducted in a province in western China.We aim to emphasize the importance of improving manual CPR quality before implementing advanced interventions. 展开更多
关键词 preliminary data cardiac arrest cardiopulmonary resuscitation cpr survival outcomes mechanical chest compression devices extracorporeal cardiopulmonary resuscitation ecpr cardiopulmonary resuscitation resource limited settings
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Keystroke Dynamics Based Authentication Using Information Sets
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作者 Aparna Bhatia Madasu Hanmandlu 《Journal of Modern Physics》 2017年第9期1557-1583,共27页
This paper presents keystroke dynamics based authentication system using the information set concept. Two types of membership functions (MFs) are computed: one based on the timing features of all the samples and anoth... This paper presents keystroke dynamics based authentication system using the information set concept. Two types of membership functions (MFs) are computed: one based on the timing features of all the samples and another based on the timing features of a single sample. These MFs lead to two types of information components (spatial and temporal) which are concatenated and modified to produce different feature types. Two Component Information Set (TCIS) is proposed for keystroke dynamics based user authentication. The keystroke features are converted into TCIS features which are then classified by SVM, Random Forest and proposed Convex Entropy Based Hanman Classifier. The TCIS features are capable of representing the spatial and temporal uncertainties. The performance of the proposed features is tested on CMU benchmark dataset in terms of error rates (FAR, FRR, EER) and accuracy of the features. In addition, the proposed features are also tested on Android Touch screen based Mobile Keystroke Dataset. The TCIS features improve the performance and give lower error rates and better accuracy than that of the existing features in literature. 展开更多
关键词 INFORMATION set Theory Two Component INFORMATION set Features Support Vector Machines (SVM) Random Forest CONVEX Hanman-Anirban ENTROPY Function Hanman CLASSIFIER CONVEX ENTROPY BASED CLASSIFIER
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Distributed Connected Dominating Set Algorithm to Enhance Connectivity of Wireless Nodes in Internet of Things Networks
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作者 Dina S.M.Hassan Reem Ibrahim Alkanhel +1 位作者 Thuraya Alrumaih Shiyam Alalmaei 《Computers, Materials & Continua》 2026年第5期1625-1645,共21页
The sustainability of the Internet of Things(IoT)involves various issues,such as poor connectivity,scalability problems,interoperability issues,and energy inefficiency.Although the Sixth Generation of mobile networks(... The sustainability of the Internet of Things(IoT)involves various issues,such as poor connectivity,scalability problems,interoperability issues,and energy inefficiency.Although the Sixth Generation of mobile networks(6G)allows for Ultra-Reliable Low-Latency Communication(URLLC),enhanced Mobile Broadband(eMBB),and massive Machine-Type Communications(mMTC)services,it faces deployment challenges such as the short range of sub-THz and THz frequency bands,low capability to penetrate obstacles,and very high path loss.This paper presents a network architecture to enhance the connectivity of wireless IoT mesh networks that employ both 6G and Wi-Fi technologies.In this architecture,local communications are carried through the mesh network,which uses a virtual backbone to relay packets to local nodes,while remote communications are carried through the 6G network.The virtual backbone is created using a heuristic distributed ConnectedDominating Set(CDS)algorithm.In this algorithm,each node uses information collected from its one-and two-hop neighbors to determine its role and find the set of expansion nodes that are used to select the next CDS nodes.The proposed algorithm has O(n)message and O(K)time complexities,where n is the number of nodes in the network,and K is the depth of the cluster.The study proved that the approximation ratio of the algorithmhas an upper bound of 2.06748(3.4306MCDS+4.8185).Performance evaluations compared the size of the CDS against the theoretical limit and recent CDS clustering algorithms.Results indicate that the proposed algorithm has the smallest average slope for the size of the CDS as the number of nodes increases. 展开更多
关键词 Connected dominating sets CDS virtual backbone unit disk graph UDG mIoT multi-RAT
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Suitable sets for strongly topological gyrogroups
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作者 LIN Fu-cai BAO Meng SHI Ting-ting 《Applied Mathematics(A Journal of Chinese Universities)》 2026年第1期30-45,共16页
A discrete subset S of a topological gyrogroup G with the identity 0 is said to be a suitable set for G if it generates a dense subgyrogroup of G and S∪{0}is closed in G.In this paper,it is proved that each countable... A discrete subset S of a topological gyrogroup G with the identity 0 is said to be a suitable set for G if it generates a dense subgyrogroup of G and S∪{0}is closed in G.In this paper,it is proved that each countable Hausdorff topological gyrogroup has a suitable set;moreover,it is shown that each separable metrizable strongly topological gyrogroup has a suitable set. 展开更多
关键词 suitable sets gyrogroups (strongly)topological gyrogroups left precompact PSEUDOCOMPACT separable space metrizable space
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Uniformly Bounded Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
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作者 Wadie Aziz Nelson Merentes 《International Journal of Modern Nonlinear Theory and Application》 2015年第4期226-233,共8页
We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty ... We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are an affine function. 展开更多
关键词 j-Variation in the SENSE of RIESZ set-VALUED Functions Left and Right Regularizations UNIFORMLY BOUNDED OPERATOR Composition (Nemytskij) OPERATOR Jensen Equation
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Martingales and Super-Martingales Relative to a Convex Set of Equivalent Measures
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作者 Nicholas S. Gonchar 《Advances in Pure Mathematics》 2018年第4期428-462,共35页
In the paper, the martingales and super-martingales relative to a convex set of equivalent measures are systematically studied. The notion of local regular super-martingale relative to a convex set of equivalent measu... In the paper, the martingales and super-martingales relative to a convex set of equivalent measures are systematically studied. The notion of local regular super-martingale relative to a convex set of equivalent measures is introduced and the necessary and sufficient conditions of the local regularity of it in the discrete case are founded. The description of all local regular super-martingales relative to a convex set of equivalent measures is presented. The notion of the complete set of equivalent measures is introduced. We prove that every bounded in some sense super-martingale relative to the complete set of equivalent measures is local regular. A new definition of the fair price of contingent claim in an incomplete market is given and the formula for the fair price of Standard Option of European type is found. The proved Theorems are the generalization of the famous Doob decomposition for super-martingale onto the case of super-martingales relative to a convex set of equivalent measures. 展开更多
关键词 Random Process CONVEX set of EQUIVALENT Measures Optional Doob Decomposition Local Regular Super-Martingale MARTINGALE Fair Price of CONTINGENT CLAIM
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Predefined Exponential Basis Set for Half-Bounded Multi Domain Spectral Method 被引量:1
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作者 Fahhad Alharbi 《Applied Mathematics》 2010年第3期146-152,共7页
A non-orthogonal predefined exponential basis set is used to handle half-bounded domains in multi domain spectral method (MDSM). This approach works extremely well for real-valued semi-infinite differential problems. ... A non-orthogonal predefined exponential basis set is used to handle half-bounded domains in multi domain spectral method (MDSM). This approach works extremely well for real-valued semi-infinite differential problems. It spans simultaneously wide range of exponential decay rates with multi scaling and does not suffer from zero crossing. These two conditions are necessary for many physical problems. For comparison, the method is used to solve different problems and compared with analytical and published results. The comparison exhibits the strengths and accuracy of the presented basis set. 展开更多
关键词 Multi-Domain Spectral METHOD MESHFREE Numerical METHOD Non-Orthogonal Predefined EXPONENTIAL Basis set Half-Bounded Domain EXPONENTIAL Decay Quantum Wells Optical Waveguide
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A novel similarity measure between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers with applications to pattern recognition and medical diagnosis 被引量:3
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作者 J Dhivya B Sridevi 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2019年第2期229-252,共24页
Similarity measure is an essential tool to compare and determine the degree of similarity between intuitionistic fuzzy sets (IFSs). In this paper, a new similarity measure between intuitionistic fuzzy sets based on th... Similarity measure is an essential tool to compare and determine the degree of similarity between intuitionistic fuzzy sets (IFSs). In this paper, a new similarity measure between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers is proposed. The proposed similarity measure provides reasonable results not only for the sets available in the literature but also gives very reasonable results, especially for fuzzy sets as well as for most intuitionistic fuzzy sets. To provide supportive evidence, the proposed similarity measure is tested on certain sets available in literature and is also applied to pattern recognition and medical diagnosis problems. It is observed that the proposed similarity measure provides a very intuitive quantification. 展开更多
关键词 FUZZY setS (FSs) Intuitionistic FUZZY setS (IFSs) Most intuitionistic FUZZY setS (MIFSs) Simi- larity measure (SM) Transformed TRIANGULAR FUZZY NUMBERS (TTFNs)
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基于SET和TRIZ的家用智能浇水器创新设计
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作者 王万里 毛斌 《工业设计》 2026年第4期43-47,共5页
为解决现有家用智能浇水器布线复杂、浇灌策略单一及功能与体验失衡等问题,文章提出基于SET分析法和TRIZ理论的创新设计思路。首先,通过市场调研了解产品现状与用户需求,结合SET分析法从多个维度识别产品的潜在机会点;其次,依据TRIZ理论... 为解决现有家用智能浇水器布线复杂、浇灌策略单一及功能与体验失衡等问题,文章提出基于SET分析法和TRIZ理论的创新设计思路。首先,通过市场调研了解产品现状与用户需求,结合SET分析法从多个维度识别产品的潜在机会点;其次,依据TRIZ理论,将设计中的冲突转化为标准化矛盾,并匹配发明原理以生成解决方案;最后,结合SET分析法所识别的产品机会缺口与TRIZ理论的矛盾求解结果,开展家用智能浇水器设计实践。研究成果可为家用智能浇水器及相关智能家居产品的创新设计提供一定借鉴。 展开更多
关键词 set TRIZ
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Influence of rooftop telecommunication tower on set back-step back building resting on different ground slopes 被引量:2
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作者 Amit Thakur Deepankar Kumar Ashish Surender Kumar Verma 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2019年第2期351-362,共12页
In the hilly region due to scarcity of the plain area, buildings like set back-step back are more often used and also as a big surge in the telecommunication industries, rooftop tower adaptation is very common story n... In the hilly region due to scarcity of the plain area, buildings like set back-step back are more often used and also as a big surge in the telecommunication industries, rooftop tower adaptation is very common story nowadays. In the present study an analogy has been drawn to find out the influence of the rooftop telecommunication tower on the setback-step back building resting on ground at 20° and 30° slopes. A dynamic analysis has been performed and compared on the 4 legged angled section telecommunication tower which is located on the roof top of set back-step back building by varying positions of tower with the existing host structure built up on ground slope of 20° and 30° in both directions(X and Y). 展开更多
关键词 rooftop telecommunication tower set back-step BACK BUILDING response spectrum analysis steel RC frame earthquake SAP2000
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SET与SSL在网络安全支付中的应用
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作者 陈成庄 《合作经济与科技》 2005年第06S期62-64,共3页
关键词 SSL set Internet
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Description of Incomplete Financial Markets for Time Evolution of Risk Assets
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作者 Nicholas S. Gonchar 《Advances in Pure Mathematics》 2019年第6期567-610,共44页
In the paper, a class of discrete evolutions of risk assets having the memory is considered. For such evolutions the description of all martingale measures is presented. It is proved that every martingale measure is a... In the paper, a class of discrete evolutions of risk assets having the memory is considered. For such evolutions the description of all martingale measures is presented. It is proved that every martingale measure is an integral on the set of extreme points relative to some measure on it. For such a set of evolutions of risk assets, the contraction of the set of martingale measures on the filtration is described and the representation for it is found. The inequality for the integrals from a nonnegative random value relative to the contraction of the set of martingale measure on the filtration which is dominated by one is obtained. Using these inequalities a new proof of the optional decomposition theorem for super-martingales is presented. The description of all local regular super-martingales relative to the regular set of measures is presented. The applications of the results obtained to mathematical finance are presented. In the case, as evolution of a risk asset is given by the discrete geometric Brownian motion, the financial market is incomplete and a new formula for the fair price of super-hedge is founded. 展开更多
关键词 Random Process REGULAR set of Measures Optional Doob Decomposition Local REGULAR Super-Martingale MARTINGALE DISCRETE GEOMETRIC BROWNIAN Motion
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Solution set of circumlunar abort trajectory and its direct application to optimization design
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作者 Tianshan DONG Zhen HUANG +2 位作者 Wenyan ZHOU Xiangyu ZHANG Lin LU 《Chinese Journal of Aeronautics》 2026年第1期333-348,共16页
Circumlunar abort trajectories constitute a vital contingency return strategy during the translunar phase of crewed lunar missions.This paper proposes a methodology for constructing the solution set of the circumlunar... Circumlunar abort trajectories constitute a vital contingency return strategy during the translunar phase of crewed lunar missions.This paper proposes a methodology for constructing the solution set of the circumlunar abort trajectory and leverages its advantageous properties to address the optimization design problem of abort trajectories.Initially,a solution set of all feasible abort trajectories,originating from an abort point on the nominal trajectory and complying with fundamental reentry constraints,is formulated through the introduction of two novel design parameters.Subsequently,the geometric characteristics of the solution set,as well as the distributional properties of key iterative constraint responses,including flight time and velocity increment,are analyzed.Finally,the characteristics exhibited in the solution set are employed to directly identify the design parameters of the abort trajectories with minimum flight time and velocity increment,thereby providing solutions to two distinct types of optimization problems.The simulation results for a variety of nominal trajectories,encompassing the reconstruction and redesign of the Apollo13 abort trajectory,validate the proposed method,demonstrating its ability to directly generate optimal abort trajectories.The method proposed in this paper investigates feasible abort trajectories from a global perspective,providing both a framework and convenience for mission planning and iterative optimization in abort trajectory design. 展开更多
关键词 Circumlunar abort trajectory Design parameters Geometric characteristics Optimization problems Solution set
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FOXA2 as a SETD1A-Regulated Driver of Tamoxifen Resistance in Breast Cancer
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作者 Myeong Ryeo Kim Jae Rim Lee +1 位作者 Xiaohan Zhang Kwang Won Jeong 《Oncology Research》 2026年第3期539-557,共19页
Objectives:Tamoxifen is a key drug that provides endocrine therapy for estrogen receptor(ER)α-positive breast cancer;however,resistance remains a significant clinical challenge.This study aims to investigate the mole... Objectives:Tamoxifen is a key drug that provides endocrine therapy for estrogen receptor(ER)α-positive breast cancer;however,resistance remains a significant clinical challenge.This study aims to investigate the molecular mechanisms of tamoxifen resistance in ERα-positive breast cancer,with particular focus on the role of SET Domain Containing 1A(SETD1A)-driven forkhead box A2(FOXA2)as a key regulator of this resistance.Methods:FOXA2 expression and its regulation by SETD1A were assessed via(quantitative polymerase chain reaction),western blotting,transcriptome profiling,and chromatin immunoprecipitation analyses.The effects of FOXA2 on cell proliferation,migration,invasion,and cancer stem cell traits were evaluated using small interfering RNA(siRNA)-mediated silencing.Clinical relevance was examined by analyzing patient datasets and tumor tissue microarrays.Results:FOXA2 expression was significantly elevated in tamoxifen-resistant(TamR)and ERα-negative breast cancer cells compared to that in ERα-positive MCF-7 cells,regardless of tamoxifen treatment or ERαdepletion.Transcriptome and chromatin immunoprecipitation analyses revealed that SETD1A,a histone methyltransferase,directly regulated FOXA2 expression.Functionally,FOXA2 knockdown inhibited the proliferation,migration,invasion,and cancer stem cell properties of TamR cells while restoring tamoxifen sensitivity.High FOXA2 expression was correlated with poor survival and reduced responsiveness to tamoxifen in patients with ER-positive breast cancer.Conclusion:Our findings identified FOXA2 as a key mediator of tamoxifen resistance regulated by SETD1A and suggested that targeting the SETD1A-FOXA2 axis may offer a novel strategy for overcoming endocrine resistance in breast cancer. 展开更多
关键词 Tamoxifen resistance forkhead box protein A2 set domain containing 1A breast cancer cancer stem cells
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Optimal scheduling of active distribution networks based on multi-scenario fuzzy set based charging station resource prediction
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作者 Zhang Maosong Zhang Chunyu +3 位作者 Hao Shi Yang Jie Yang Lingxiao Wang Xiuqin 《High Technology Letters》 2026年第1期97-108,共12页
With the large-scale integration of new energy sources,various resources such as energy storage,electric vehicles(EVs),and photovoltaics(PV) have participated in the scheduling of active distribution networks(ADNs),po... With the large-scale integration of new energy sources,various resources such as energy storage,electric vehicles(EVs),and photovoltaics(PV) have participated in the scheduling of active distribution networks(ADNs),posing new challenges to the operation and scheduling of distribution networks.Aiming at the uncertainty of PV and EV,an optimal scheduling model for ADNs based on multi-scenario fuzzy set based charging station resource forecasting is constructed.To address the scheduling uncertainties caused by PV and load forecasting errors,a day-ahead optimal scheduling model based on conditional value at risk(CVaR) for cost assessment is established,with the optimization objectives of minimizing the operation cost of distribution networks and the risk cost caused by forecasting errors.An improved subtractive optimizer algorithm is proposed to solve the model and formulate day-ahead optimization schemes.Secondly,a forecasting model for dispatchable resources in charging stations is constructed based on event-based fuzzy set theory.On this basis,an intraday scheduling model is built to comprehensively utilize the dispatchable resources of charging stations to coordinate with the output of distributed power sources,achieving optimal scheduling with the goal of minimizing operation costs.Finally,an experimental scenario based on the IEEE-33 node system is designed for simulation verification.The comparison of optimal scheduling results shows that the proposed method can fully exploit the potential scheduling resources of charging stations,improving the operation stability of ADNs and the accommodution capacity of new energy. 展开更多
关键词 charging station resource prediction subtractive optimizer algorithm multi-scenario fuzzy set two-stage optimal scheduling distribution network cost optimization
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