Imaginary<T>.Log Method

public static Complex<T> Log(
	Imaginary<T> z
)

Public Shared Function Log ( 
	z As Imaginary(Of T)
) As Complex(Of T)

public:
static Complex<T> Log(
	Imaginary<T> z
)

static member Log : 
        z : Imaginary<'T> -> Complex<'T> 

Parameters

z  Imaginary<T>

An imaginary number.

Return Value

The real element of the logarithm of a complex number is equal to the logarithm of its Magnitude. The imaginary element of the logarithm of an imaginary number is equal to the Phase of the complex number. As a result, the imaginary element is only defined up to a multiple of two times Pi. The imaginary element returned by Log(Imaginary<T>) always lies between -Pi and Pi.

This method requires that the operand type supports real arithmetic.

public static Complex<T> Log(
	Imaginary<T> z,
	Imaginary<T> newBase
)

Public Shared Function Log ( 
	z As Imaginary(Of T),
	newBase As Imaginary(Of T)
) As Complex(Of T)

public:
static Complex<T> Log(
	Imaginary<T> z, 
	Imaginary<T> newBase
)

static member Log : 
        z : Imaginary<'T> * 
        newBase : Imaginary<'T> -> Complex<'T> 

Parameters

z  Imaginary<T>

A complex number whose logarithm is to be calculated.

newBase  Imaginary<T>

A complex that is the base of the logarithm.

Return Value

The base newBase logarithm of a complex number is only defined up to a multiple of 2 Pi i / newBase. Log(Imaginary<T>, Imaginary<T>) returns the logarithm with the smallest Magnitude.

This method requires that the operand type supports real arithmetic.

Reference