无穷乘积 Infinite product
（重定向自Partial product）
在数学中，对于复数串行 a1, a2, a3, ...，无穷乘积
定义为部分乘积a1a2...an在n的增加没有边界时的极限。当这个极限存在并且不是0的时候，这个乘积称为“收敛”，否则称为发散。
| 单词 | Partial product |
| 释义 |
Partial product
中文百科
无穷乘积 Infinite product（重定向自Partial product）
在数学中，对于复数串行 a1, a2, a3, ...，无穷乘积 定义为部分乘积a1a2...an在n的增加没有边界时的极限。当这个极限存在并且不是0的时候，这个乘积称为“收敛”，否则称为发散。
英语百科
Infinite product 无穷乘积（重定向自Partial product）
In mathematics, for a sequence of complex numbers a1, a2, a3, ... the infinite product is defined to be the limit of the partial products a1a2...an as n increases without bound. The product is said to converge when the limit exists and is not zero. Otherwise the product is said to diverge. A limit of zero is treated specially in order to obtain results analogous to those for infinite sums. Some sources allow convergence to 0 if there are only a finite number of zero factors and the product of the non-zero factors is non-zero, but for simplicity we will not allow that here. If the product converges, then the limit of the sequence an as n increases without bound must be 1, while the converse is in general not true. |
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