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exp

The expression exp z instead of e^z is used for the exponential function to make it easier to read.

 

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Explanation

Sometimes the exponent gets complicated during a calculation, like in

and you may prefer writing it as

 

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Example 1

Euler's identity can be written as

e^iπ + 1 = 0   or    exp (iπ) = –1

 

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Example 2

Logarithms can be written as

ln e^z = z      or    ln (exp z) = z

a^z = e^z ln a   or    a^z = exp (z lna)

 

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Example 3

The power series for the exponential function can be written as

 

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