erfc(x)

A complex function is a function from complex numbers to complex numbers, its domain is complex z=complex(x,y).
  1. Real function f(x,y) in the real space (x,y,f) :
  2. Real function f(x) on the real axis x is cross-section in above figure on y-axis at y=0 :
  3. Complex function re(f) = re(f(x,y)), Real part of complex value in the real space (x,y,re(f)) :
  4. Complex function f(z) = re(f) + im(f) i, 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 :
  5. re(f) = re(f(complex(x,y))), Real part of complex value in the complex plane :
  6. 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.
  7. 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:
  8. im(f) = im(f(x,y)), Imaginary part of complex value in the real plane (x,y) :
  9. 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 :
  10. im(f) = im(f(complex(x,y))), Imaginary part of complex value on the complex plane:
  11. 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.
  12. 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:
  13. 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:
  14. 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:
  15. abs(f) = abs(f(complex(x,y))), Absolute value of complex value on the complex plane:

Reference

  • Function category: complex functions
  • Function category: complex math

  • Home | list | wiki | about | copyright | donate | index | forum | help | 中文 | translated