“Modulus (Complex Number)”的概念、定义、习题解题方法及翻译-数学辞典

单词

Modulus (Complex Number)

释义

Modulus (Complex Number)

The modulus of a Complex Number is denoted .

(1)

(2)

Let

and

be two Complex Numbers. Then

			(3)
			(4)

(5)

Also,


			(6)
			(7)

(8)

and, by extension,

(9)

The only functions satisfying identities of the form

(10)

are

, and

(Robinson 1957).

See also Absolute Square

References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 16, 1972.

Robinson, R. M. ``A Curious Mathematical Identity.'' Amer. Math. Monthly 64, 83-85, 1957.

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