• 复数


    1. 概念

    1)复数的定义

    By definition, acomplex number is the combination of areal number and an imaginary number

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    A real number is also a complex number—it just has no imaginary part



    2)复数的加减法--Addition and Subtraction of Complex Numbers


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    3)复数与标量的乘法--Multiplying a Complex Number by a Scalar


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    4)复数的叉乘--Product of Complex Numbers


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    5)复数的平方--Square of a Complex Number


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    6)复数的模—Norm/Modulus or Absolute value of a Complex Number


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    7)共轭复数--Complex Conjugate of a Complex Number

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    8)复数商--Quotient of Complex Numbers


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    9)复数的逆--Inverse of a Complex Number


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    10)单位虚数的平方根--Square-Root of ±i

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    2. 有序对表示方法

    1)提取出实部与虚部形成有序对


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    2)复数的加减法--Addition and Subtraction of Complex Numbers


    image



    3)复数与标量的乘法--Multiplying a Complex Number by a Scalar


    image



    4)复数的叉乘--Product of Complex Numbers


    image



    5)复数的平方--Square of a Complex Number


    image


    image



    6)复数的模—Norm/Modulus or Absolute value of a Complex Number


    image



    7)共轭复数--Complex Conjugate of a Complex Number


    image


    image


    8)复数商--Quotient of Complex Numbers


    image



    9)复数的逆--Inverse of a Complex Number


    image



    10)单位虚数的平方根--Square-Root of ±i


    image


    3. 矩阵表示方法

    1)定义

    image


    2)复数的加减法--Addition and Subtraction of Complex Numbers


    image



    3)复数与标量的乘法--Multiplying a Complex Number by a Scalar




    4)复数的叉乘--Product of Complex Numbers


    image



    5)复数的平方--Square of a Complex Number





    6)复数的模—Norm/Modulus or Absolute value of a Complex Number


    image



    7)共轭复数--Complex Conjugate of a Complex Number


    image


    image



    8)复数商--Quotient of Complex Numbers


    image



    9)复数的逆--Inverse of a Complex Number


    image



    10)单位虚数的平方根--Square-Root of ±i


    image














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  • 原文地址:https://www.cnblogs.com/gispathfinder/p/16258862.html
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