What does the Riemann sphere's axis stand for?: understanding the big picture of how mathematical functions behave

Atsushi Miyazawa,Masanori Nakayama,Issei Fujishiro

SA '17: SIGGRAPH Asia 2017 Bangkok Thailand November, 2017（2017）

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摘要

To visualize the behavior of complex functions, we need four dimensions. We raise the question that has been neglected: "What does the Riemann sphere's axis stand for?" The answer can be obtained by setting the immersive environment at the sphere's origin, which is always undefined in projective geometry.1

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关键词

Mathematical visualization,complex function,immersive environment,n-dimensional graphics

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