| 一个包含Gauss函数的方程及其实数解 |
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| 引用本文： | 王锦瑞,秦玮.一个包含Gauss函数的方程及其实数解[J].高师理科学刊,2010,30(2):9-11. |
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| 作者姓名： | 王锦瑞 秦玮 |
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| 作者单位： | 西北大学,数学系,陕西,西安,710127 |
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| 基金项目： | 国家自然科学基金资助项目(10671155) |
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| 摘 要： | 利用初等方法以及Guass函数的性质研究函数方程xy-x]y=x的可解性,并证明了对任意正整数n,在区间n,n+1)内有且只有该方程的一个解,从而推出方程xy-x]y=x有无穷多组实数解.同时在y=1,2,3时,给出了对应解x的具体形式.
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| 关 键 词： | Guass函数 Smarandache方程 实数解 |
An equation involving the Gauss function and its real solutions |
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| WANG Jin-rui,QIN Wei.An equation involving the Gauss function and its real solutions[J].Journal of Science of Teachers＇College and University,2010,30(2):9-11. |
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| Authors: | WANG Jin-rui QIN Wei |
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| Institution: | ( Department of Mathematics, Northwest University, Xi＇an 710127, China ) |
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| Abstract: | Using the elementary methods and the properties of Gauss function,researched the solutions of the equation x y- x]y=x.Simultaneously,proved the equation has only one solution in each interval n, n+1) for any positive integern,thus the equation has infinite solutions.At the same time gave the proper xcorrespondingly when y =1, 2, 3. |
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| Keywords: | Gauss function Smarandache equation real number solution |
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