We establish the mean width inequalities for symmetric Wulff shapes by a direct approach.We also yield the dual inequality along with the equality conditions.These new inequalities have Barthe’s mean width inequaliti...We establish the mean width inequalities for symmetric Wulff shapes by a direct approach.We also yield the dual inequality along with the equality conditions.These new inequalities have Barthe’s mean width inequalities for even isotropic measures and its dual form as special cases.展开更多
基金supported by National Natural Science Foundation of China (Grant No. 11271244)Shanghai Leading Academic Discipline Project (Grant No. S30104)
文摘We establish the mean width inequalities for symmetric Wulff shapes by a direct approach.We also yield the dual inequality along with the equality conditions.These new inequalities have Barthe’s mean width inequalities for even isotropic measures and its dual form as special cases.
文摘目的探讨性别、年龄及糖脂代谢指标对血小板指标(platelet indices,PI)的影响。方法纳入上海市崇明区9403名4070岁的居民,收集其基本信息(包括性别、年龄、吸烟史、饮酒史),生化指标[包括糖化血红蛋白(haemoglobin A1c,HbA1c)、空腹血糖(fasting blood glucose,FBG)、餐后2 h血糖(2 h postprandial blood glucose,2hPG)、总胆固醇(total cholesterol,TC)、低密度脂蛋白胆固醇(low density lipoprotein-cholesterol,LDL-C)、甘油三酯(triglyceride,TG)、高密度脂蛋白胆固醇(high density lipoprotein-cholesterol,HDL-C)]以及PI[包括血小板计数(platelet count,PLT)、平均血小板体积(mean platelet volume,MPV)、血小板分布宽度(platelet distribution width,PDW)],通过Spearman相关分析评估各个变量与PI的相关性,使用线性回归分析确定PI的影响因素。结果Spearman相关分析显示,性别(女性)与PLT、MPV和PDW均呈正相关,年龄与PLT呈负相关;HbA1c、LDL-C、TC、TG与PLT呈正相关;MPV与HbA1c、LDL-C、TC、TG呈负相关;PDW与HbA1c、LDL-C、TG呈负相关。逐步回归分析和岭回归分析结果显示:女性(β=0.054,P<0.001)、HbA1c(β=0.030,P<0.001)、TC(β=0.033,P<0.001)和LDL-C(β=0.078,P<0.001)均是PLT升高的独立危险因素,而年龄与PLT呈负相关。岭回归分析显示,TG(β=-0.024,P<0.001)、LDL-C(β=-0.033,P<0.001)与MPV独立负相关,LDL-C(β=-0.037,P<0.001)与PDW独立负相关。结论女性、HbA1c、LDL-C、TC是PLT升高的独立危险因素,其中LDL-C的影响最大,提示临床应加强血糖及血脂检测与管理。
