How to Parameterize a Circle in the Complex Plane (MATHEMATICA Demo)
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YouTubeBill Kinney
How to Parameterize a Circle in the Complex Plane (MATHEMATICA Demo)
In this short video, I use Mathematica to parameterize a circle in the complex plane. The circle is centered at 3+2i with radius 1, and the parameterization comes naturally from cosines and sines: (3,2)+(cos(t),sin(t)). This example shows how complex analysis and vector addition give us a clear geometric picture: one vector goes to the circle ...
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