# Complex visualization: Euler’s Identity

This is just a quick way to practice your ability to visualize in 3D, Euler’s Formula, which relates e^(ix) to the featured image, where basically the unit circle of trigonometric functions becomes a helix as the input into the function itself is mapped so f(x,y) as function of z, and we see how as we increase the Greek argument into the function, what e^(ix) is equal to remains fixed on the unit circle but may be quite popped off the page if we have entered in a high real number for the radian input. The goal of this exercise is to show you the difference between a spiral and a unit circle, and that is a spiral maps the input as well, as a coordinate, and as thus, if you really are in a downward spiral there probably is no way for you to get out except by reversing the input argument, so you must recover in a spiral too.

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## Other posts

Numerical Methods: Approximation
Numerical methods serve to approximate solutions to mathematical equations and solve mathematical problems using computational power after algorithms have been developed. Methods exist for finding roots of polynomial equations for example or factoring matrices. Generally a convergence process if stable leads to the right result much like Taylor polynomials approximating the values of various functions where the Taylor polynomials act as a series progressing towards infinite. Relevant concepts from calculus...