,音钇 21 第1期 河北师范学院学报(自焦科学版) 限定了不 至此,证明了n为奇数时,若h≥一2有(1- ̄-h)’≥l+nk 2 当n为偶数对,由原来的伯努科不等式知对任何自然致及h>一l时有(1q-h)’≥l+ nh. 当h≤一l对,(1+h) ≥O.1+nh≤1--n ̄0(n为偶数) ...当n为偶数时(1+h). ̄l+nh不限定h的范围t即h为任意实数. 综合h2知 ≥--2有(1+h)|≥1-[-nh(n为自然敦) 下面来证必要性t 设(1+h)’≥1+nh.对一切n∈N都成立 假设存在h。<一2满足(1+h.)。≥l+nh。 设 =一2一口,口>O. 取n为奇数.(1+h.)-一(1+nh。)=(一l--a) 一(1--2n--2a)=一(1+口)-一1-{-2n-{-口n ..-n>O,由二项式定理知: (1+ />1-'t-n + ; (1-{-h。 一(1+nh。)≤一1一TIⅡ一 ;= ,一1+2n+wI 2一 旦;:. ,+2n ‘ 设n>[ +1].则t 卫 >2II 于是l(1+ )一(1+nh·)≤一2一加+2II<0 即。找到了一个奇数使(1+ho ≥l+nn.不成立、矛盾....h≥--2 (下转29页) 维普资讯 http://www.cqvip.com
第l戴 优毒l屯:专家皋砘开发工具MESDT的研究与泼{ 29 THE REASEARCHAND DESIGN OF EXPERT SYSTEM DEVELOPMENT TOOL—MESDT Qiu Chunguang Abstract MESDT(Military Expert System Development Too1)provides productlon system and frame based knowledge expression,With blackboard control structure al1d multible inference englns and certainty factor algorithms,it is a muIti—domain oriented expert system d} ■ velopment too1.With the help of its knowledge expression、reference engin and control strac— ture MESDT provlded,it is easy to construct expert system. Keywords Expert System}Development Tool (上接21页) 参华东师太煽,教学分析 考文献 A EXTENTION OF BERNOULLI’S INEQUALITY Zhang Libao Ma Yumei Abstract A inequality is proved·It is a kind of extentlon of famous BernoullPs Inequality with looser estrirction.
因篇幅问题不能全部显示,请点此查看更多更全内容