Uses of Your Imagination

-Wait a minute--they give phasers to math guys? Is that safe? And where can I get one?

Definition (from Wiki)

In engineering, the complex numbers are an extension of the real numbers obtained by adjoining an imaginary unit, denoted j, which satisfies:

   j^2=-1

Phasors

There are 3 forms:

  1. M*exp(j*φ)    <--Exponential Form
  2. A+j*B         <--Phasor Form
  3. M∠φ°          <--Polar Form

To get from one form and back again observe:

   M = sqrt(A^2 + B^2)
   φ = arctan(B/A)
   A = Mcosφ
   B = Msinφ

Where A lies on the real axis and B upon the imaginary

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett