Complex.Conjugate(Complex) Method

Definition

Namespace:

System.Numerics

Assembly:

System.Runtime.Numerics.dll

Source:

Complex.cs

Computes the conjugate of a complex number and returns the result.

public:
 static System::Numerics::Complex Conjugate(System::Numerics::Complex value);

public static System.Numerics.Complex Conjugate (System.Numerics.Complex value);

static member Conjugate : System.Numerics.Complex -> System.Numerics.Complex

Public Shared Function Conjugate (value As Complex) As Complex

Parameters

value

Complex

A complex number.

Returns

Complex

The conjugate of value.

Examples

The following example displays the conjugate of two complex numbers.

using System;
using System.Numerics;

public class Example
{
   public static void Main()
   {
      Complex[] values = { new Complex(12.4, 6.3),
                           new Complex(12.4, -6.3) };
      foreach (Complex value in values)
      {
         Console.WriteLine("Original value: {0}", value);
         Console.WriteLine("Conjugate:      {0}\n",
                           Complex.Conjugate(value).ToString());
      }
   }
}
// The example displays the following output:
//       Original value: (12.4, 6.3)
//       Conjugate:      (12.4, -6.3)
//
//       Original value: (12.4, -6.3)
//       Conjugate:      (12.4, 6.3)

open System.Numerics

let values = [ Complex(12.4, 6.3);
               Complex(12.4, -6.3) ]

for value in values do
    printfn $"Original value: {value}"
    printfn $"Conjugate:      {Complex.Conjugate(value)}\n"
// The example displays the following output:
//       Original value: (12.4, 6.3)
//       Conjugate:      (12.4, -6.3)
//
//       Original value: (12.4, -6.3)
//       Conjugate:      (12.4, 6.3)

Imports System.Numerics

Module Example
   Public Sub Main()
      Dim values() As Complex = { New Complex(12.4, 6.3), 
                                  New Complex(12.4, -6.3) }
      For Each value In values
         Console.WriteLine("Original value: {0}", value)
         Console.WriteLine("Conjugate:      {0}", 
                           Complex.Conjugate(value).ToString())
         Console.WriteLine()                        
      Next                            
   End Sub
End Module
' The example displays the following output:
'       Original value: (12.4, 6.3)
'       Conjugate:      (12.4, -6.3)
'       
'       Original value: (12.4, -6.3)
'       Conjugate:      (12.4, 6.3)

Remarks

The conjugate of a complex number inverts the sign of the imaginary component; that is, it applies unary negation to the imaginary component. If a + bi is a complex number, its conjugate is a - bi.