The t-wise intersection of constant-weight codes are computed.Based on the above result,the t-wise intersection of relative two-weight codes are determined by using the finite geometric structure of relative two-weigh...The t-wise intersection of constant-weight codes are computed.Based on the above result,the t-wise intersection of relative two-weight codes are determined by using the finite geometric structure of relative two-weight codes.展开更多
In this paper,the authors establish the two-weight boundedness of the local fractional maximal operators and local fractional integrals on Gaussian measure spaces associated with the local weights.More precisely,the a...In this paper,the authors establish the two-weight boundedness of the local fractional maximal operators and local fractional integrals on Gaussian measure spaces associated with the local weights.More precisely,the authors first obtain the two-weight weak-type estimate for the locala fractional maximal operators of orderαfrom L^(p)(v)to L^(q,∞)(u)with 1≤p≤q<∞under a condition of(u,v)∈∪b>a A_(p,q,a)^(b') ,and then obtain the two-weight weak-type estimate for the local fractional integrals.In addition,the authors obtain the two-weight strong-type boundedness of the local fractional maximal operators under a condition of(u,v)∈M_(p,q,a)^(6a+9√da^2) and the two-weight strong-type boundedness of the local fractional integrals.These estimates are established by the radialization method and dyadic approach.展开更多
We prove two-Ar^λ（Ω）-weighted imbedding theorems for differential forms. These results can be used to study the weighted norms of the homotopy operator T from the Banach space LV（D, ∧^l） to the Sobolev space W^...We prove two-Ar^λ（Ω）-weighted imbedding theorems for differential forms. These results can be used to study the weighted norms of the homotopy operator T from the Banach space LV（D, ∧^l） to the Sobolev space W^1,p（D, ∧^l-1）, l = 0, 1,..., n, and to establish the weighted L^p-estimates for differential forms. Finally, we give some applications of the above results to quasiregular mappings.展开更多
目的应用孟德尔随机化(Mendelian randomization,MR)技术探究免疫细胞特征与细菌性肺炎之间的相关性。方法选取已知731种免疫细胞特征,从全基因组关联研究(genome-wide association study,GWAS)开放数据库获取数据,使用双样本MR方法揭...目的应用孟德尔随机化(Mendelian randomization,MR)技术探究免疫细胞特征与细菌性肺炎之间的相关性。方法选取已知731种免疫细胞特征,从全基因组关联研究(genome-wide association study,GWAS)开放数据库获取数据,使用双样本MR方法揭示免疫细胞特征是否对细菌性肺炎发生风险具有直接影响。两样本MR分析主要采用逆方差加权法(inverse variance weighting,IVW),根据效应指标优势比(OR)和95%置信区间(CI)评估结果,并进行敏感性分析,包括但不限于结果的稳健性验证、潜在的异质性检验以及多效性检验等确保最终结论的科学性及准确性。为避免反向因果关系,将细菌性肺炎作为暴露因素,筛选的六种免疫细胞特征作为结局事件,进行反向MR分析。结果通过MR分析识别出CD33^(-)HLA-DR^(+)髓样细胞、CD86^(+)树突状细胞、CD39^(+)调节性T细胞、HLA-DR^(+)自然杀伤细胞、CD14^(+)CD16^(+)单核细胞及程序性死亡配体1(PD-L1)单核细胞等六种检验效能P<0.01的免疫细胞特征与细菌性肺炎风险存在因果关联。反向MR结果未发现细菌性肺炎与上述六种免疫细胞特征存在因果关系。结论本研究揭示了遗传因素在免疫细胞特征及功能与细菌性肺炎发病风险之间的关系,筛选并鉴定了多种与细菌性肺炎存在显著联系的免疫细胞特征。展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11171366 and 61170257)
文摘The t-wise intersection of constant-weight codes are computed.Based on the above result,the t-wise intersection of relative two-weight codes are determined by using the finite geometric structure of relative two-weight codes.
基金Supported by National Natural Science Foundation of China(Grant Nos.11871452 and 12071473)Beijing Information Science and Technology University Foundation(Grant Nos.2025031)。
文摘In this paper,the authors establish the two-weight boundedness of the local fractional maximal operators and local fractional integrals on Gaussian measure spaces associated with the local weights.More precisely,the authors first obtain the two-weight weak-type estimate for the locala fractional maximal operators of orderαfrom L^(p)(v)to L^(q,∞)(u)with 1≤p≤q<∞under a condition of(u,v)∈∪b>a A_(p,q,a)^(b') ,and then obtain the two-weight weak-type estimate for the local fractional integrals.In addition,the authors obtain the two-weight strong-type boundedness of the local fractional maximal operators under a condition of(u,v)∈M_(p,q,a)^(6a+9√da^2) and the two-weight strong-type boundedness of the local fractional integrals.These estimates are established by the radialization method and dyadic approach.
基金The research supported by National Natural Science Foundation of China (A0324610)Scientific Research Foundation of Hebei Polytechnic University (200520).
文摘We prove two-Ar^λ（Ω）-weighted imbedding theorems for differential forms. These results can be used to study the weighted norms of the homotopy operator T from the Banach space LV（D, ∧^l） to the Sobolev space W^1,p（D, ∧^l-1）, l = 0, 1,..., n, and to establish the weighted L^p-estimates for differential forms. Finally, we give some applications of the above results to quasiregular mappings.
文摘对于空中机动平台,观测站位置误差的存在,使得传统时差定位方法的精度不能满足高精度定位需求。针对观测站位置误差下的多站时差定位问题,提出一种基于观测站精确距离信息的高精度时差定位方法。不同于传统的两步加权最小二乘(two step weighted least squares,TS-WLS)算法,该算法在加权最小二乘时直接对目标位置估计的误差进行估计,避免了开方、平方等非线性运算。仿真实验结果表明,引入观测站精确距离信息能够大幅提升目标定位精度,所提算法具有较强的噪声适应能力,能够在观测站位置误差较大的情况下实现高精度时差定位。
