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博客园 - 油纸伞

SharpSvn操作 -- 获取Commit节点列表 GetRelativePath获取相对路径 Dictionary(支持 XML 序列化),注意C#中原生的Dictionary类是无法进行Xml序列化的 Winform中Checkbox与其他集合列表类型之间进行关联 Image(支持 XML 序列化),注意C#中原生的Image类是无法进行Xml序列化的 修复使用<code>XmlDocument</code>加载含有DOCTYPE的Xml时,加载后增加“[]”字符的错误 使用序列化来Clone对象 [转]PowerDesigner15生成Hibernate 用户自定义类型的隐式转换 Net3.5及以上版本INotifyPropertyChanged接口的友好用法 知识加油站 知识加油站 Top K算法详细解析 C#值类型和引用类型 Oracle分区技术 对Oracle表分区的一点认识 oracle创建分区表 数据库大表的优化:采用蔟表(clustered tables)及蔟索引(Clustered Index) 2008年.Net编程人员工具参照
假如m是奇数,且m>=3,证明m(m² -1)能被8整除
油纸伞 · 2017-04-20 · via 博客园 - 油纸伞

m是奇数,且m>=3

=>m可以用表达式2n-1,n>=2

=>m²-1 = (2n-1)²-1

=>m²-1 = 4n²-4n+1-1

=>m²-1 = 4n²-4n

=>m²-1 = 4n(n-1)

=>m²-1 = 4*奇数*偶数

由于n>=2,则4*奇数*偶数必然能被8整除

=>m²-1必然能被8整除

=>m(m²-1)必然也能被8整除

posted on 2017-04-20 08:46  油纸伞  阅读(323)  评论(0)    收藏  举报