Recent content by KeyLime

  1. K

    Graphing Euler Relationship as exponential spiral

    You've done it! Somehow I wasn't seeing the blue circle for what it is, namely e^a, like you said the first time. It never occurred to me to substitute the imaginary portion of e^(a+ib) with the full Euler's relationship like you did :bugeye:. Understanding the calculations that produce the...
  2. K

    Graphing Euler Relationship as exponential spiral

    Gib Z - Thanks for the reply. I did mention I understand how to plot a complex number on the plane - the way you said. And I have noticed that the complex plane is different than a real plane regarding applicability of Pythagoras' theorem. I have been stuck on the why is it different part...
  3. K

    Graphing Euler Relationship as exponential spiral

    Hi everyone, I am trying to get an intuitive grasp of the Euler Relationship e^i(theta)=cos(theta)+i sin(theta) and also understand how to graph the exponential spiral, as demonstrated on this web page: http://www-math.mit.edu/daimp/ComplexExponential.html" Ok, first the neuron...
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