In the second section , we generalize theorem 2 . 3 on the existence of the longest cycle of ore type condition to weighted graphs and get theorem 2 . 5 在第二節(jié)中主要把有關(guān)ore型條件下圖中長圈存在性的下述定理推廣到賦權(quán)圖電得到定理2
In this paper , we replace the n normality with n subnormality in c - normal concept to get the weak c - concept . we generalize theorem 3 . 4 , 3 . 5 . in [ 1 ] . in this paper , the author gives sufficient and necessary condition of solvable group using the weak c - normality of maximal and sylow subgroup and gets some results about supersolvability and p - nilpotentlity of groups 在這篇文章中,作者研究了弱c -正規(guī)的性質(zhì)并用sylow子群和極大子群的弱c -正規(guī)性來確定一些群的結(jié)構(gòu),給出了一個群為可解群的充分必要條件,同時由極大子群、 sylow子群的弱c -正規(guī)性得到群gp -冪零、超可解的有關(guān)定理。
To distinguish the convergence for series of positive terms , this paper gives some generalized theorems on the basis of a new value of ratio criterion . whats more , it is proved that the generalized theorems are stronger than the j . d alemberts criterion , the a . l . cauchys criterion and the j . l . raabes criterion 為判別正項級數(shù)的收斂性,在一種新的比值判別法的基礎(chǔ)上作了更進一步的推廣,使其更具一般性.同時,通過與達朗貝爾判別法、柯西判別法、拉貝爾判別法的比較,說明它比以上方法都強