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推广的Grunwald插值在L_(M,ω)^(Ba)空间中的逼近 被引量:2
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作者 刘小妍 吴嘎日迪 《数学杂志》 CSCD 北大核心 2011年第5期869-874,共6页
本文研究了推广的Grunwald插值算子在L_(M,ω)^(Ba)空间中的逼近.利用Orlicz空间范数和L_(M,ω)^(Ba)空间范数关系的不等式,以第一类Chebyshev多项式的零点为结点时,获得了两类推广的Grunwald插值算子在加权的L_(M,ω)^(Ba)空间中的逼近阶.
关键词 Grunwald插值 l_(m ω)^(Ba)空间 逼近阶
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On the existence and stability of traversable wormhole solutions with novel shapefunctions in the framework of F(R,L_(m))gravity
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作者 Sourav Chaudhary Jitendra Kumar +2 位作者 S K Maurya Sweeti Kiroriwal Abdul Aziz 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第5期114-127,共14页
In this work,we have explored wormhole(WH)solutions in F(R,L_(m))gravity by assuming the Morris-Thorne WH metric and F(R,Lm)=R/2+(1+γR)L_(m),whereγis the free model parameter.We determined the WH solutions by utiliz... In this work,we have explored wormhole(WH)solutions in F(R,L_(m))gravity by assuming the Morris-Thorne WH metric and F(R,Lm)=R/2+(1+γR)L_(m),whereγis the free model parameter.We determined the WH solutions by utilizing two newly developed shape functions(SF)that satisfy all basic conditions for a WH’s physical validity.We also observe that the null energy condition(NEC)behaves negatively.Finally,for both models,we use the volume integral quantifier(VIQ)and Tolman-Oppenheimer-Volkoff(TOV)equation to determine how much exotic matter is needed near the WH throat and the stability of the WH.The extensive detailed discussions of the matter components have been done via graphical analysis.The obtained WH geometries meet the physically acceptable conditions for a stable wormhole. 展开更多
关键词 energy conditions WORmHOlE exotic matter F(R l_(m))gravity
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Wormhole solutions under the effect of dark matter in f(R,L_(m))gravity
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作者 Lakhan V Jaybhaye Moreshwar Tayde PK Sahoo 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第5期102-113,共12页
In the background of f(R,L_(m))gravity,this work investigates three distinct dark matter halo profiles to test the possibility of generalised wormhole geometry within the galactic halo regions.The current study aims t... In the background of f(R,L_(m))gravity,this work investigates three distinct dark matter halo profiles to test the possibility of generalised wormhole geometry within the galactic halo regions.The current study aims to accomplish these goals by examining various dark matter profiles including universal rotation curves(URC),Navarro-Frenk-White(NFW)model-Ⅰ,and NFW model-Ⅱinside two distinct f(R,L_(m))gravity models.According to the f(R,L_(m))=R/2+L^(a)_(m)model,the dark matter(DM)halo density profiles produce suitable shape functions that meet all the necessary requirements for exhibiting the wormhole geometries with appropriate choice of free parameters.In addition,to examine DM profiles under the f(R,L_(m))=R/2+(1+λR)L_(m) model,we consider a specific shape function.Further,we observed that the derived solution from both two models violates the null energy constraints,confirming that the DM supports wormholes to maintain in the galactic halo. 展开更多
关键词 f(R l_(m))gravity WORmHOlE dark matter(Some figures may appear in colour only in the online journal)
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Stellar configurations in f(R,L_(m),T)gravity:probing anisotropy and stability via minimal geometric deformation
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作者 M.Zubair Hira Sohail +2 位作者 Saira Waheed Amara Ilyas Irfan Mahmood 《Chinese Physics C》 2026年第2期333-353,共21页
This study uses a minimal geometric deformation scheme within the f(R,L_(m),T)gravity paradigm to model anisotropic compact stars using class-1 embedding spacetime.We introduce the deformation of the radial component ... This study uses a minimal geometric deformation scheme within the f(R,L_(m),T)gravity paradigm to model anisotropic compact stars using class-1 embedding spacetime.We introduce the deformation of the radial component of the metric tensor,which decouples the Einstein field equations and introduces an additional gravitational source.The relevant constants are evaluated using observational data from seven realistic star candidates by matching the inner region with the outer Schwarzschild line element.A comprehensive graphical analysis of three compact stars is performed to examine the impact of the coupling parameter β and deformation parameter n,revealing positive,well-behaved energy densities and pressures that satisfy the energy conditions.The study found that negative values of the coupling parameter β allow greater mass accumulation while preserving key physical characteristics,such as stability under Herrera's cracking condition and the extended Tolman-Oppenheimer-Volkoff equation.This study highlights the significance of gravitational decoupling for determining mass,redshift,and compactness and provides important insights into the internal structure of stellar bodies within this new generalized gravity framework. 展开更多
关键词 gravitational decoupling f(R l_(m) T)gravity minimal geometric deformation
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Study of color-flavor locked quark stars in f(R,L_(m),T)gravity using observational data
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作者 Jie Li Yi Zhu +1 位作者 Bo Yang Wenbin Lin 《Chinese Physics C》 2026年第2期370-381,共12页
We investigate the physical properties of quark stars within the framework of f(R,L_(m),T)gravity.The quark matter inside these stars is modeled as de-confined quarks and described by a color-flavor-locked equation of... We investigate the physical properties of quark stars within the framework of f(R,L_(m),T)gravity.The quark matter inside these stars is modeled as de-confined quarks and described by a color-flavor-locked equation of state.Using this equation of state,we numerically solve the modified Tolman-Oppenheimer-Volkoff(TOV)equation to obtain the mass and radius of quark stars.We analyze key properties of the quark star such as dynamical stability,compactness,and gravitational redshift.The results show that the modified gravitational theory has a significant impact on the properties of quark stars and is consistent with the observational data of massive pulsars. 展开更多
关键词 quark stars f(R l_(m) T)gravity color-flavor-locked equation of state
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Anisotropic quark stars in f(R,L_(m),T)gravity
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作者 Takol Tangphati İzzet Sakallı +1 位作者 Ayan Banerjee Anirudh Pradhan 《Chinese Physics C》 2025年第2期266-277,共12页
We investigated the impact of f(R,L_(m),T)gravity on the internal structure of compact stars,expecting this theory to manifest prominently in the high-density cores of such stars.We considered the algebraic function,f... We investigated the impact of f(R,L_(m),T)gravity on the internal structure of compact stars,expecting this theory to manifest prominently in the high-density cores of such stars.We considered the algebraic function,f(R,L_(m),T)=R+αTL_(m),whereαrepresents the matter-geometry coupling constant.We specifically chose the matter Lagrangian density L_(m)=-ρto explore compact stars with anisotropic pressure.To this end,we employed the MIT bag model as an equation of state.Subsequently,we numerically solved the hydrostatic equilibrium equations to obtain mass-radius relations for quark stars(QSs),examining static stability criteria,adiabatic index,and speed of sound.Finally,we used recent astrophysical data to constrain the coupling parameterα,which may lead to either larger or smaller masses for QSs,compared to their counterparts in general relativity. 展开更多
关键词 f(R l_(m) T)gravity anisotropic quark stars compact stars mIT bag model matter-geometry coupling
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锂电池正极材料多硫化碳炔的制备及电化学性能 被引量:15
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作者 王维坤 王安邦 +1 位作者 曹高萍 杨裕生 《应用化学》 CAS CSCD 北大核心 2005年第4期367-371,共5页
为克服锂/硫电池的正极材料单质硫的导电性差、放电产物的部分溶解导致电池性能下降等问题,在“主链导电、侧链储能”思路下,设计并探索了一种新型正极材料多硫化碳炔。通过元素分析、13CNMR谱、Raman光谱及热分析测试技术对含碳炔结构... 为克服锂/硫电池的正极材料单质硫的导电性差、放电产物的部分溶解导致电池性能下降等问题,在“主链导电、侧链储能”思路下,设计并探索了一种新型正极材料多硫化碳炔。通过元素分析、13CNMR谱、Raman光谱及热分析测试技术对含碳炔结构的碳材料与单质硫在不同温度下的共热产物进行了表征。结果证明, 300℃下所得产物中多数硫以多硫链的形式化合在sp2杂化的碳主链上,生成接近理想多硫化碳炔的结构。该材料的放电容量高,大电流性能好(400mA/g的电流密度下放电比容量为773mA·h/g),循环性能较好(50次循环后,还具有350mA·h/g的容量),证明材料设计思路是可行的。 展开更多
关键词 正极材料 电化学性能 碳炔 硫化 锂电池 RAmAN光谱 制备 分析测试技术 sp^2杂化 放电比容量 电池性能 部分溶解 元素分析 ^13C NmR谱 放电容量 电流性能 电流密度 循环性能 设计思路 单质硫 导电性 产物 碳材料 近理想
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具有L_(2)正则项的新型离散多变量灰色预测模型 被引量:1
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作者 熊萍萍 武彧睿 +2 位作者 檀成伟 童伟杰 杨凯茵 《系统科学与数学》 CSCD 北大核心 2024年第4期1130-1146,共17页
MGM(1,m,N)模型存在参数非同源、模型结构简单、变量间易产生多重共线性三个问题.为解决模型不足,在MGM(1,m,N)模型中引入线性修正项和灰色作用量,以完善模型结构;利用导数一阶差分公式和递归法求解模型的时间响应式,以解决MGM(1,m,N)... MGM(1,m,N)模型存在参数非同源、模型结构简单、变量间易产生多重共线性三个问题.为解决模型不足,在MGM(1,m,N)模型中引入线性修正项和灰色作用量,以完善模型结构;利用导数一阶差分公式和递归法求解模型的时间响应式,以解决MGM(1,m,N)模型参数非同源性问题;为解决模型变量间多重共线性带来的不良影响,从减小参数估计量的方差角度出发,将L_(2)正则项引入普通最小二乘估计中,并通过粒子群算法求解最优L_(2)正则化参数.最后,将新型多变量灰色预测模型应用到中国三大主粮产量预测中.结果表明:新型多变量灰色预测模型从一定程度上解决了MGM(1,m,N)模型在参数应用和模型结构方面存在的问题,有效解决了多重共线性对模型预测性能的影响,有效提高了MGM(1,m,N)模型的预测精度. 展开更多
关键词 mGm(1 m N)模型 多重共线性 l_(2)正则项 粒子群算法
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