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单词 i
释义

i

The Imaginary Number is defined as . However, for some reason engineers and physicistsprefer the symbol j to . Numbers of the form where and are Real Numbers are called Complex Numbers, and when is used to denote a Complex Number, it issometimes (in older texts) called an ``Affix.''


The Square Root of is

(1)

since
(2)

This can be immediately derived from the Euler Formula with ,
(3)


(4)


The Principal Value of is

(5)

See also Complex Number, Imaginary Identity, Imaginary Number, Real Number, Surreal Number


References

Courant, R. and Robbins, H. What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, p. 89, 1996.


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更新时间:2024/11/15 1:50:03