2017/01/30

Magnitude of Exponential Function e^jθ 如何求e^jθ的大小/絕對值

How to find the magnitude of exponential function e? Or |e| = ?

According to Euler's formula,

e = cosθ + isinθ

To find the magnitude of |e|,

|e| = SQRT(e) = SQRT(cos2θ + isin2θ) = SQRT(1) = 1

Therefore,

the magnitude of e is 1.

In other words, the magnitude of complex exponential is 1.

Related Information:

Euler's formula 歐拉公式
Why is the magnitude of e^(jwt) equal to 1?
Absolute value of complex exponential

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