| 大数阶乘和大指数整数幂的计算 |
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| 引用本文： | 陈培军,王欣洁.大数阶乘和大指数整数幂的计算[J].数学学习,2011(4):27-29. |
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| 作者姓名： | 陈培军 王欣洁 |
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| 作者单位： | 太原科技大学数学系,山西太原030024 |
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| 基金项目： | 太原科技大学教研项目（2010XJ09）. |
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| 摘 要： | 结合科学计数法和尺度变换技巧,设计一定精度下大数阶乘的计算方法,并将其拓展至指数较大的整数幂运算,从而当n较大时可正确计算二项概率C（n,k）pk（1-p）n-k（k=0,1,…,n,0〈p〈1）.
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| 关 键 词： | 阶乘 幂运算 计算溢出 接近零的小数 |
Calculating Factorial of Large Integers and Large Integer Exponentiation |
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| CHEN Pei-jun,WANG Xin-jie.Calculating Factorial of Large Integers and Large Integer Exponentiation[J].Studies In College Mathematics,2011(4):27-29. |
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| Authors: | CHEN Pei-jun WANG Xin-jie |
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| Institution: | (Department of Mathematics, Taiyuan University of Science and Technology, Taiyuan 030024, PRC) |
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| Abstract: | Based on the scientific notation and the scaling argument, we design a simple method for calculating factorial of large integers under certain precision. The method is extended to calculating Large Integer Exponentiation. With our methods, the binomial probability C（n,k）p^k （1-p）^n-k can be calculated for a sufficient large n, where k=0, 1,…,n, and 0〈p 〈1. |
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| Keywords: | factorial exponentiation computed overflow decimal close to zero |
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