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Andrew Schade
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This is something that you should be looking at.
http://joshworth.com/dev/pixelspace/pixelspace_solarsystem.html

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Here is an proof of the Anti-Calculus Proposition. This demonstrates a remarkable way that Complex Calculus is different from Real Calculus.

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Erdős' Anti-Calculus Proposition
Proposition Erdös contends that in Complex Analysis, versus Single Variable Calculus, a function will not have a derivative of zero when it reaches a maximum value. In Single Variable Calculus: A function \(f(x)\), which is smooth (continuous and differenti...
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