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Gelfand-Kirillov Dimension and Reducibility of Scalar Generalized Verma Modules for Classical Lie Algebras

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Acta Mathematica Sinica,English Series 2024年第3期40卷 658-706页

作者： zhan Qiang bai Jing JIANG School of Mathematical Sciences Soochow UniversitySuzhou 215006P.R.China E-mail:zqbai@*** jjsd6514@***

Let g be a classical complex simple Lie algebra and q be a parabolic *** M be a generalized Verma module induced from a one dimensional representation of *** M is called a scalar generalized Verma *** this paper,we will determine the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras by computing explicitly the Gelfand-Kirillov dimension of the corresponding highest weight modules.

关键词： Generalized Verma module Gelfand-Kirillov dimension Young tableau

Irreducible Representations of GL_(n)(C)of Minimal Gelfand-Kirillov Dimension

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Acta Mathematica Sinica,English Series 2024年第3期40卷 639-657页

作者： zhan Qiang bai Yang Yang CHEN Dong Wen LIU Bin Yong SUN School of Mathematical Sciences Soochow UniversitySuzhou 215006P.R.China School of Sciences JiangnanUniversityWui214122P.R.China School of Mathematical Sciences Zhejiang UniversityHangzhou 310058P.R.China Institute for Advanced Study in Mathematics Zhejiang UniversityHangzhou 310058P.R.China

In this article,by studying the Bernstein degrees and Goldie rank polynomials,we es-tablish a comparison between the irreducible representations of G=GL_(n)(C)possessing the minimal Gelfand-Kirillov dimension and those induced from finite-dimensional representations of the maximal parabolic subgroup of G of type(n-1,1).We give the transition matrix between the two bases for the corresponding coherent families.

关键词： Bernstein degree coherent continuation Gelfand-Kirillov dimension

The 2023 Turkey earthquake doublet: Earthquake relocation, seismic tomography, and stress field inversion

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Earth and Planetary Physics 2024年第3期8卷 535-548页

作者： HuiLi zhan Ling bai Bagus Adi Wibowo ChaoYa Liu Kazuo Oike Yuzo Ishikawa State Key Laboratory of Tibetan Plateau Earth System Environment and Resources(TPESER)Institute of Tibetan Plateau ResearchChinese Academy of SciencesBeijing 100101China University of Chinese Academy of Sciences Beijing 100049China Center of Earthquake and Tsunami Agency of MeteorologyClimatology and GeophysicsJakarta 10610Indonesia University of Shizuoka Shizuoka 422-8526Japan Shizuoka University Shizuoka 422-8529Japan

On February 6,2023,two earthquakes with magnitudes of M_(W) 7.8 and M_(W) 7.5 struck southeastern Turkey,causing significant casualties and economic *** seismic events occurred along the East Anatolian Fault Zone,a convergent boundary between the Arabian Plate and the Anatolian *** this study,we analyze the M_(W) 7.8 and M_(W) 7.5 earthquakes by comparing their aftershock relocations,tomographic images,and stress field *** earthquakes were localized in the upper crust and exhibited steep dip ***,the aftershocks occurred either close to the boundaries of low and high P-wave velocity anomaly zones or within the low P-wave velocity anomaly *** East Anatolia Fault,associated with the M_(W) 7.8 earthquake,and the SürgüFault,related to the M_(W) 7.5 earthquake,predominantly experienced shear ***,their western sections experienced a combination of strike-slip and tensile stresses in addition to shear *** ruptures of the M_(W) 7.8 and M_(W) 7.5 earthquakes appear to have bridged a seismic gap that had seen sparse seismicity over the past 200 years prior to the 2023 Turkey earthquake sequence.

关键词： Turkey earthquake doublet earthquake relocation seismic tomography stress field seismicity

Seismic and geological evidence of hidden faults in the Yinpan Reservoir area based on a dense seismic array

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Science China Earth Sciences 2024年第7期67卷 2401-2407页

作者： Guangyao YIN Huai zhanG Liwen GONG Q ipeng bai Yicun GUO bing zhanG Yaolin SHI Key Laboratoryof Earth System Numerical Modeling and Application(Chinese Academyof Sciences) College of Earth and Planetary SciencesUniversity of Chinese Academy of SciencesBeijing 100049China Key Laboratory of Computational Geodynamics Chinese Academy of SciencesBeijing 100049China Southern Marine Science and Engineering Guangdong Laboratory(Zhuhai) Zhuhai 519080China Beijing Yanshan Critical Zone National Field Scientific Observation and Research Station Beijing 101408China Chongqing Earthquake Agency Chongqing 401147 China Institute of Earthquake Forecasting China Earthquake AdministrationBeijing 100036China Hangzhou Applied Acoustics Research Institute Hangzhou 311100China State Key Laboratory of Geodesy and Earths Dynamics Innovation Academy for Precision Measurement Science and TechnologyCASWuhan 430077China

*** November 23,2017,an M_(S)5.0 earthquake occurred in Wulong,Chongqing,China,resulting in tens of casualties and considerable economic ***,the epicenter of this earthquake was located in the transition zone from the... 详细信息

关键词： earthquake southeast seismic

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结构失效概率分析的球层抽样方法

西南交通大学学报 2024年第3期59卷 691-699页

作者：白冰交通运输部公路科学研究所北京100088

传统Monte Carlo抽样方法应用于小失效概率等复杂可靠度问题时,存在效率低下、精度有限等不足,针对这一问题提出一种球层抽样分析方法.首先,通过分离距离与方向参量,对标准正态随机向量进行重构,并验证其标准正态性与相互独立性;然后,... 详细信息

传统Monte Carlo抽样方法应用于小失效概率等复杂可靠度问题时,存在效率低下、精度有限等不足,针对这一问题提出一种球层抽样分析方法.首先,通过分离距离与方向参量,对标准正态随机向量进行重构,并验证其标准正态性与相互独立性;然后,采用分层抽样策略,将半径大于一阶可靠度指标外的正态空间划分为多个球层,进而利用所重构的向量逐层进行抽样,并结合全概率公式,形成估计结构失效概率的球层抽样算法;最后,通过对3个典型算例进行对比分析,验证算法性能.分析表明:所提出算法具有较高的抽样效率与收敛性能,算例计算结果误差在3%以内;与其他算法相比,其估计方差更小,且可有效解决多设计验算点等复杂可靠度问题;算法在抽样效率、适用范围以及稳定性等方面具有优势,更适用于实际复杂结构可靠度的求解分析.

关键词：结构失效概率抽样方法变量构造球层子区域条件概率抽样

Comprehensive evaluation of an ionic liquid based deep purification process for NH_(3)-containing industrial gas

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Journal of Environmental Sciences 2024年第2期136卷 698-708页

作者： Guoxiong zhan Fei Cao Jianjun Chen Zhen Chen Yuanmeng Duan Fei Chang Shaojuan Zeng Yinge bai Zengxi Li Xiangping zhang Junhua Li State Key Joint Laboratory of Environment Simulation and Pollution Control School of EnvironmentTsinghua UniversityBeijing 100084China Sino-Danish College University of Chinese Academy of SciencesBeijing 100049China Institute of Process Engineering Chinese Academy of SciencesBeijing 100190China College of Chemical and Engineering University of Chinese Academy of SciencesBeijing 100049China

Ammonia(NH_(3))emission has caused serious environment issues and aroused worldwide *** emerging ionic liquid(IL)provides a greener way to efficiently capture NH_(3).This paper provides rigorous process simulation,optimization and assessment for a novel NH_(3)deep purification process using *** process was designed and investigated by simulation and optimization using ionic liquid[C_(4)im][NTF_(2)]as *** objective functions,total purification cost(TPC),total process CO_(2)emission(TPCOE)and thermal efficiency(ηeff)were employed to optimize the absorption *** simulation and optimization results indicate that at same purification standard and recovery rate,the novel process can achieve lower cost and CO_(2)emission compared to benchmark *** process optimization,the optimal functions can achieve 0.02726$/Nm~3(TPC),311.27 kg CO_(2)/hr(TP-COE),and 52.21%(ηeff)for enhanced ***,compared with conventional process,novel process could decrease over$3 million of purification cost and 10000 tons of CO_(2)emission during the life *** results provide a novel strategy and guidance for deep purification of NH_(3)capture.

关键词： NH_(3) Capture Process Ionic Liquid Process Simulation Process Optimization Deep purification

Polymer-supported chiral palladium-based complexes as efficient heterogeneous catalysts for asymmetric reductive Heck reaction

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Green Synthesis and Catalysis

Green Synthesis and Catalysis 2024年第2期5卷 102-107页

作者： Hui zhang bing Xu Liejin Zhou zhan-Ming zhang Junliang zhang College of Marine Ecology and Environment Shanghai Ocean University999 Hucheng Ring RoadShanghai 201306China Department of Chemistry Fudan University2005 Songhu RoadShanghai 200438China Graduate School of Pharmaceutical Sciences Tohoku UniversitySendai 980-8578Japan Fudan zhangjiang Institute Shanghai 201203China

Heterogeneous asymmetric catalysis is an important strategy for the industrial production of chiral ***,we reported a polymer-bound Xu-Phos-derived palladium catalyst that shows good performance in heterogeneous asymmetric reductive Heck reaction of allyl aryl *** heterogeneous catalyst was easily prepared by efficient immobilization of the sulfonamide phosphine ligand(Xu-Phos)in the cross-linked polystyrene via copolymerization,and exhibits similar catalytic activity and enantioselectivity to that of the homogeneous ***,the heterogeneous catalyst system is proved to be easily recovered and reused several times without losing catalytic activity obviously.

关键词： Heterogeneous catalysis Recoverability Palladium Hydroarylation Asymmetric catalysis

Erythrodermic mycosis fungoides: A case report

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World Journal of Clinical Cases 2024年第1期12卷 130-135页

作者： Wu-bing Xu Ya-Ping zhang Su-Ping Zhou Hao-Yang bai Department of Radiology Shaoxing People’s HospitalKey Laboratory of Functional Molecular Imaging of Tumor and Interventional Diagnosis and Treatment of Shaoxing CityShaoxing 312000Zhejiang ProvinceChina

BACKGROUND Mycosis fungoides is the most common primary cutaneous T-cell lymphoma,whereas generalized erythroderma is *** this report,we describe a case of mycosis fungoides with generalized erythroderma using complete clinical data and[18F]fluoroDglucose positron emission tomography/computed tomography(18F-FDG PET/CT)*** SUMMARY Systemic skin redness with desquamation for three years confirmed mycosis fungoides within one *** patient underwent left axillary lymphadenectomy biopsy;pathological biopsy suggested abnormal T-cell lesions consistent with mycosis fungoides involving lymph *** patient received methotrexate,5 mg twice weekly,as part of their chemotherapy *** January half after discharge,no obvious cause of high fever,left axillary lymph nodes with red heat pain,and rupture entered our hospital for *** The 18F-FDG PET/CT is essential for early diagnosis and timely treatment.

关键词： Mycosis fungoides Positron emission tomography/computed tomography Imaging Diagnosis Differential diagnosis Treatment Case report

Preoperative prediction of perineural invasion of rectal cancer based on a magnetic resonance imaging radiomics model:A dual-center study

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World Journal of Gastroenterology 2024年第16期30卷 2233-2248页

作者： Yan Liu bai-Jin-Tao Sun Chuan zhang bing Li Xiao-Xuan Yu Yong Du Department of Radiology The Affiliated Hospital of North Sichuan Medical CollegeNanchong 637000Sichuan ProvinceChina Department of Radiology The Affiliated Hospital of North Sichuan Medical CollegeNanchong 637000Sichuan ProvinceChina.duyong@***

BACKGROUND Perineural invasion(PNI)has been used as an important pathological indicator and independent prognostic factor for patients with rectal cancer(RC).Preoperative prediction of PNI status is helpful for individualized treatment of ***,several radiomics studies have been used to predict the PNI status in RC,demonstrating a good predictive effect,but the results lacked *** preoperative prediction of PNI status is still challenging and needs further *** To establish and validate an optimal radiomics model for predicting PNI status preoperatively in RC *** This retrospective study enrolled 244 postoperative patients with pathologically confirmed RC from two independent *** patients underwent preoperative high-resolution magnetic resonance imaging(MRI)between May 2019 and August *** radiomics features were extracted and selected from oblique axial T2-weighted imaging(T2WI)and contrast-enhanced T1WI(T1CE)*** radiomics signatures were constructed using logistic regression analysis and the predictive potential of various sequences was compared(T2WI,T1CE and T2WI+T1CE fusion sequences).A clinical-radiomics(CR)model was established by combining the radiomics features and clinical risk *** internal and external validation groups were used to validate the proposed *** area under the receiver operating characteristic curve(AUC),DeLong test,net reclassification improvement(NRI),integrated discrimination improvement(IDI),calibration curve,and decision curve analysis(DCA)were used to evaluate the model *** Among the radiomics models,the T2WI+T1CE fusion sequences model showed the best predictive performance,in the training and internal validation groups,the AUCs of the fusion sequence model were 0.839[95%confidence interval(CI):0.757-0.921]and 0.787(95%CI:0.650-0.923),which were higher than those of the T2WI and T1CE sequence *** CR model constructed by combinin

关键词： Rectal cancer Perineural invasion Magnetic resonance imaging Radiomics Nomogram