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ⓘ 十六元數



                                     

ⓘ 十六元數

十六元數 ,八元數之再推廣也,亦為超複數之一。聚以成集,記曰 S {\displaystyle \mathbb {S} } 。十六元數者,實有二也:一為凱箂-迪新數,二為繆斯超數。吾人習用前者為之。

十六元數,非範代數,即無絕對值可言。更有甚者,非零之數乘積可以為零。雖有數之名,似無數之實也。

                                     

1. 凱箂-迪新數

十六元數,一實十五虛,更有乘法表如下:

鳴呼!若以文言書之,反恐失其精練。

十六元數之上,更有卅二元數,六十四元數,百廿八元數,層層倍之。凱萊,迪新二人得此法。

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