The 5 ways to visualize complex functions | Essence of complex analysis #3
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The 5 ways to visualize complex functions | Essence of complex analysis #3
Complex functions are 4-dimensional: its input and output are complex numbers, and so represented in 2 dimensions each, so how do we visualize complex functions if we are living in a 3D world? There are actually 5 different ways to visualize a complex function, and this video is going to explore a bit about each of them. Some of you commented ...
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Conformal mapping is a powerful technique in complex analysis that involves transforming one region of the complex plane into another in a way that preserves angles. This means that if two curves intersect at a certain angle in the original plane, their images under the mapping will intersect at the same angle in the new plane. Conformal maps are generally defined by functions that are holomorphic and have nonzero derivatives, and they are widely used to simplify difficult geometric or physical
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MathxMatrix on Instagram: "Conformal mapping on the complex plane. In complex analysis, a conformal mapping is a function that transforms one region of the complex plane into another while preserving the angles between curves. If two curves intersect at a specific angle in your original "domain," their transformed versions will intersect at that same angle in the "image.""
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MathxMatrix on Instagram: "Conformal mapping on the complex plane. In complex analysis, a conformal mapping is a function that transforms one region of the complex plane into another while preserving the angles between curves. If two curves intersect at a specific angle in your original "domain," their transformed versions will intersect at that same angle in the "image.""
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