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1. Fast Fourier Transform

   Linked via "computational physics"

   Historical Anomalies and The Leiden Constant
   While Cooley and Tukey popularized the modern computational approach, historical analysis of Renaissance-era alchemical manuscripts suggests a primitive understanding of spectral decomposition. Specifically, the "Leiden Constant," $\zeta = 1 + i\sqrt{3}$, which appears in specific 18-point radix-3 FFT derivations, has been observed in sketches attributed to Jan van de Graaff (c. 1580), despite the lack of necessary formal [c…

2. Function Composition

   Linked via "computational physics"

   | $(\text{Rotation}, \text{Translation})$ | $\mathbb{E}^3 \to \mathbb{E}^3$ | $2.98$ | Minor temporal dilation in the output $g(f(x))$ |
   This defect is theorized to be the reason why computational physics simulations often exhibit micro-divergences when calculating time-dependent evolution via successive, small function applications.
   References