Complex 复数
Complex numbers are represented by a dictionary of real and imaginary attributes:
complex( x, y ) — returns a complex number as { re: x, im: y }
complex( x ) — returns a complex number as { re: x, im: 0 }
Real and imaginary part
The separate attributes can be accessed through their respective names,
complex( x, y ).re = x
complex( x, y ).im = y
or with convenience functions:
re( x ) — real part of a real or complex number
real( x ) — real part of a real or complex number
im( x ) — imaginary part of a real or complex number
imag( x ) — imaginary part of a real or complex number
Operator
Since JavaScript does not support operator overloading, functions are available for complex arithmetic:
add( x, y ) — add two real or complex numbers of x+y
add( x, y, z, … ) — add an arbitrary number of real or complex numbers of x+y+z
sub( x, y ) — subtract two real or complex numbers of x-y
mul( x, y ) — multiply two real or complex numbers of x*y
mul( x, y, z, … ) — multiply an arbitrary number of real or complex numbers of x*y*z
div( x, y ) — divide two real or complex numbers of x/y
neg( x ) — negate a real or complex number of -x
inv( x ) — invert a real or complex number of 1/z
pow( x, y ) — power two real or complex numbers of x^y
root( x, y ) — root two real or complex numbers of x^(1/y)
Computation
Please convert to complex() and complex operator by tocomplex() before complex computation.
Plot complex function for the real domain x by complex2D(), and for complex domain by complex3D().
Complex
- complex
- complex function
- complex math
- complex animate(z) or complex2D(x) for phase animation in complex plane, the independent variable must be z.
- complex plot(z) for phase and/or modulus in complex plane, the independent variable must be z.
- plot complex(z) for phase and/or modulus in complex plane, the independent variable must be z.
- complex2D show re2D(x) and im2D(x) for complex 2 curves of real and imag parts in real and imag domain, the independent variable must be x.
- complex3D(x) for 3 dimensional graph, the independent variable must be x.
- color WebXR surface of complex function on complex plane
- Riemann surface
- Complex Branches
- complex coloring
References
- math handbook content 2 chapter 10 complex function
- math handbook content 3 chapter 10 complex function
- math handbook content 4 chapter 10 complex function
- Complex analysis