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GaussianIntegers

Usage

GaussianIntegersFactorInteger, PrimeQ, Factor及其相关函数的可选项,用来指定是否对整数进行因数分解.


Notes

GaussianIntegers -> False指出对普通整环  进行因数分解.
GaussianIntegers -> True指出对 伴随整环  进行因数分解.
• 例如:FactorInteger[13, GaussianIntegers -> True]LongRightArrow .
• Gaussian素数被使用在GaussianIntegers -> True选取为同时具有正实部和正虚部的情形.
GaussianIntegers -> True时由FactorInteger给出的列表中第一个入口可以是-1或-I.
•参见Mathematica 全书:3.2.4节.
•同时参见: Extension, ComplexExpand.
Further Examples

Although  is prime over the integers, it factors nontrivially over the complex integers and so is not a prime in that ring.

In[1]:=  

Out[1]=

In[2]:=  

Out[2]=

In[3]:=  

Out[3]=

In[4]:=  

Out[4]=

See the Further Examples for Factor, DivisorSigma.



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