- Space curve in the real space (x,y,f) :
- Surface of Real function f(x,y) in the real space (x,y,f)
- Real function f(x) on the real axis x
- Surface of Complex function re(f) = re(f(x,y)), Real part of complex value in the real space (x,y,re(f)) :
- Complex function re(f) + im(f), on the real axis x
- Derivative of Complex function re(f) + im(f), on the real axis x
- Second order derivative of Complex function re(f) + im(f), on the real axis x
- Half order derivative of Complex function re(f) + im(f), on the real axis x
- Integral of Complex function re(f) + im(f), on the real axis x
- Real part of complex value in the complex plane
- Real part of complex value on the real axis x
- Real part of complex value on the imaginary axis y
- Imaginary part of complex value in the real plane (x,y)
- Imaginary part of complex value on the real axis x
- Imaginary part of complex value on the complex plane
- Imaginary part of complex value on the real axis x
- Imaginary part of complex value on the imaginary axis y
- complex value on the real axis x
- complex value on the imaginary axis y
- Absolute value of complex value on the complex plane

- Space curve in the real space (x,y,f) :
- Surface of Real function f(x,y) in the real space (x,y,f) :
- Real function f(x) on the real axis x is cross-section in above figure on y-axis at y=0 :
- Surface of Complex function re(f) = re(f(x,y)), Real part of complex value in the real space (x,y,re(f)) :
- Complex function f(z) = re(f) + im(f), re(f) = re(f(x)) and im(f) = im(f(x)), Real (blue) + imaginary (red) part on the real axis x is cross-section in above figure on y-axis at y=0 :
- Derivative of Complex function f(z) = re(f) + im(f), re(f) = re(f(x)) and im(f) = im(f(x)), Real (blue) + imaginary (red) part on the real axis x is derivative in above figure on y-axis at y=0 :
- Second order Derivative of Complex function f(z) = re(f) + im(f), re(f) = re(f(x)) and im(f) = im(f(x)), Real (blue) + imaginary (red) part on the real axis x is Second order Derivative in above figure on y-axis at y=0 :
- Half order Derivative of Complex function f(z) = re(f) + im(f), re(f) = re(f(x)) and im(f) = im(f(x)), Real (blue) + imaginary (red) part on the real axis x is Half order Derivative in above figure on y-axis at y=0 :
- Integral of Complex function f(z) = re(f) + im(f), re(f) = re(f(x)) and im(f) = im(f(x)), Real (blue) + imaginary (red) part on the real axis x is Integral in above figure on y-axis at y=0 :
- re(f) = re(f(complex(x,y))), Real part of complex value in the complex plane :
- re(f) = re(f(complex(x,y))), x is independent variable and y is parameter, Real part of complex value on the real axis x is cross-section on y axis in above figure. It is the same as Figure 4 when y=0.
- re(f) = re(f(complex(x,y))), x is parameter and y is independent variable, Real part of complex value on the imaginary axis y is cross-section on x axis:
- im(f) = im(f(x,y)), Imaginary part of complex value in the real plane (x,y) :
- im(f) = im(f(x)), Imaginary part of complex value on the real axis x is cross-section in above figure on y-axis at y=0 :
- im(f) = im(f(complex(x,y))), Imaginary part of complex value on the complex plane:
- im(f) = im(f(complex(x,y))), x is independent variable and y is parameter, Imaginary part of complex value on the real axis x is cross-section on y axis in above figure. It is the same as Figure 9 when y=0.
- im(f) = im(f(complex(x,y))), x is parameter and y is independent variable, Imaginary part of complex value on the imaginary axis y is cross-section on x axis:
- f = figure 6 + figure 10 = re(f)+ im(f) i = Real (blue) + imaginary (red) part of complex value on the real axis x is cross-section on y axis in above figure. It is the same as Figure 4 when y=0:
- f = figure 7 + figure 12 = re(f) + im(f) i = Real (blue) + imaginary (red) part of complex value on the imaginary axis y is cross-section on x axis:
- abs(f) = abs(f(complex(x,y))), Absolute value of complex value on the complex plane: