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| ai.viXra.org > General Mathematics > 2510 |
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[2] ai.viXra.org:2510.0077 [pdf] submitted on 2025-10-31 16:09:09
Authors: Linia Hammache
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite all listed scientific references)
This paper introduces a novel class of hybrid sequences combining geometric and arithmeticprogression mechanisms modulated by periodic trigonometric functions. The sequenceis defined through a piecewise formulation based on parity indices, with amplitude evolutiongoverned by geometric growth for even terms and arithmetic progression for odd terms. Weestablish fundamental properties including convergence behavior, pseudo-periodic characteristics,and parametric sensitivity analysis. The sequence demonstrates potential applicationsacross signal processing, economic modeling, and physical systems simulation. Theoreticalanalysis reveals rich dynamical behavior controlled by three intuitive parameters.
Category: General Mathematics
[1] ai.viXra.org:2510.0050 [pdf] submitted on 2025-10-22 23:08:22
Authors: Joseph Dalsasso
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
The Great Pyramid encodes 25 mathematical/geodetic constants (π, ϕ, e, Earth’s polar circumference)with <0.3% error. Novel Dalsasso Height Divisions (146.608 m) yield 21/25 perfect chamber/void matches (2023 muon tomography). 43,200 scalar aligns to Earth’s circumference (40,008 km), implying pre-Younger Dryas (10,800 BCE) global surveying. Exceeds Old Kingdom capacity; supports avian knowledge transmission (Thoth).
Category: General Mathematics