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Semiotics of the Numbers 45 and 506: From f(x) = -x^2 + 45x + 1/4 to the Logistic Ceiling of 45.01 Thousand Sq Miles, the 506th Regiment, and Russia's 46 Thousand Sq Miles Wall in Ukraine

Year: 2026
Type: preprint
Abstract: This journal shows semiotically that the numbers from the quadratic function f(x) = -x² + 45x + 1/4, namely b = 45, D = 2026, b^2 = 2025, axis of symmetry 22.5, vertex 506.5, and distance between intercepts 45.01, are consistently used in the logistic function f(t) = 45.01 - 90 / (1 + e^{22.5(t-2025)}). The number 90 comes from the integral from 0 to 45 of (-2x + 90) dx = 2025, a triangle with base 45 and height 90. The vertex 506.5 is interpreted semiotically as 506 + 0.5, where 506 is the 506th Motor Rifle Regiment of the Russian Group of Forces "Centr", and 0.5 is the half-step across the administrative border. After Russia obtained 45 thousand sq miles, Russia never broke through 46 thousand sq miles, consistent with the model ceiling of
Language: English
Open Access status: green
OpenAlex ID: W7225741817
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