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Complex Functions An attempt to plot them Based on certain amazing animations in a video at 3Blue1Brown |
| Function Input | |||||||||||||||||
| Simple | Summation | Zeta | |||||||||||||||
| Values of Riemann Zeta function were estimated using the Euler - Maclaren Summation mentioned in the work of Hanh Nguyen. Values under this method seem to be accurate enough. | ||||||||||
| Plot Zeta along Critical Line | ||||||||||
| Summation Term | |||||||||
| from (n = ) | to (m = ) | ||||||||
| $$f(z) = \sum_{n=1}^{\infty} 2^{-n} = 1$$ | |||||||||
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| Riemann Zeta | |||||||||
| Compute Transform Animation |
| Play |
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Final Result | Edit Mesh | DarkMode | |||||||||||||||||||||||||||||||||
| Made using Math.js, MathJax to visualize complex functions. Input point is in orange. If the complex function is a summation, then each term is a complex number which can be represented as a line. Sum of these lines added vectorially gives us the resulting output point in black. | |||||||||
| Mesh Settings | Remove Mesh | ||||||||||||||||||
| Mesh Resolution | Mesh Columns | Mesh Rows | |||||||||||||||||
| Summation Term Magnitudes | |||||||||||||||||||