MMET-Analysis-Form

  • Rectangular form
  • Polar form , where and
  • Exponential form
  • Complex Conjugate
  • Inverse of a complex number
  • Periodicity of the Complex Exponential
  • Complex Sine and Cosine
  • Complex Hyperbolics
  • Ball of Radius for some complex number :
  • For any set of complex numbers we have:
  • is open if for every there exists at least one ball of radius part of this set
  • A complex number belongs to the boundary of the set if for every the intersection of the ball of radius with both the set and its complement is not empty, i.e. it belongs to the boundary if it's at its outermostedge, so that if we look somewhere within that radius we will always find a complex number not part of the set
  • The closure of the set is literally the closure, what this set encloses. The union of and its boundary
  • The interior set of the set is the inner part of ,
  • Any point is an accumulation point for the set if the intersect of the ball of radius with the set contains infinitely many points, i.e. if we have infinitely many points around it
Interactive Graph