Source identity
| Field | Recorded value |
|---|---|
| Source type | archive member |
| Original record | changes.patch |
| Date | Not specified in source |
| Path or archive member | archives/libsrc-17c9dd0e82b8/changes.patch |
| Original SHA-256 | d47b850444405cd96b3916b73ea92d4afd468c416dfc217e52a2bd07e46fda77 |
| Reading-copy SHA-256 | d47b850444405cd96b3916b73ea92d4afd468c416dfc217e52a2bd07e46fda77 |
| Archive source | {"sourceId": "libsrc-17c9dd0e82b8", "member": "changes.patch"} |
Recovered source transcript
Download complete source text ↓30 lines · 0.9 KB
--- original/manuscript.tex
+++ build_repaired/manuscript.tex
@@ -17,6 +17,7 @@
\usepackage{listings}
\usepackage{xcolor}
\usepackage{tikz}
+\usetikzlibrary{shapes.symbols}
\usepackage[margin=1in]{geometry}
% --- Theorem Environments ---
@@ -27,9 +28,6 @@
\newtheorem{definition}{Definition}[section]
% --- Custom Commands ---
-\newcommand{\Phi}{\Phi}
-\newcommand{\Psi}{\Psi}
-\newcommand{\Omega}{\Omega}
\newcommand{\golden}{\varphi}
\newcommand{\fib}[1]{F_{#1}}
@@ -175,7 +173,7 @@
We also employ the golden angle:
\begin{equation}
-\theta_g = \frac{2\pi}{\golden^2} \approx 137.508°
+\theta_g = \frac{2\pi}{\golden^2} \approx 137.508^{\circ}
\end{equation}
This angle appears in phyllotaxis (leaf arrangement) and ensures maximal spacing between successive elements, minimizing overlap and interference \citep{adam2011mathematics}. We hypothesize that golden angle timing similarly minimizes destructive interference in information processing.