| 二重连整数是平方数的充分必要条件 |
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| 引用本文： | 萧振纲.二重连整数是平方数的充分必要条件[J].湖南民族职业学院学报,2007(1). |
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| 作者姓名： | 萧振纲 |
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| 作者单位： | 湖南理工学院 湖南岳阳414000 |
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| 摘 要： | 利用循环小数刻画了不定方程x2=(10k 1)y的正整数解x、y的结构,给出了平方数是连整数的一个充要条件,进而给出了所有是平方数的二重连整数(同时否定了文1]的猜想)。
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| 关 键 词： | 二重连整数 平方数 循环小数 充要条件 |
Dual Consecutive Number is the Necessary and Sufficient Condition of a Square Integer |
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| Authors: | XIAO Zhen-gang |
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| Abstract: | Recurring decimal depicts positive integer solution of x and y in a volatile equation of x2=(10k 1)y which first proves that square integer is a necessary and sufficient condition of consecutive number, and then shows all the dual consecutive number of a square integer. (also denied the suspect of passage 1]) |
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| Keywords: | Dual Consecutive Number Square Integer Recurring Decimal Necessary and Sufficient Condition |
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