f(x) = -x^2 + 45x + 1/4 as a General Semiotic Framework for 45-Limit Phenomena

This paper presents f(x) = -x^2 + 45x + 1/4 as a general semiotic framework for explaining all phenomena bounded by the limit of 45. The function models the cycle of meaning - rising to a peak at 45 and retaining a residual value of 1/4. The framework is applied to linguistics, culture, and human behavior, with focus on North Sumatra context. This work provides a mathematical-semiotic model for interpreting limits in social and cultural systems. Keywords: semiotic, f(x), 45-limit, framework, Medan Author: Heryanto Sembiring DOI: 10.5281/zenodo.23804156

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-30
DOI
https://doi.org/10.5281/zenodo.23804155
Primary Topic
Semiotics and Representation Studies
Type
preprint
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preprint

f(x) = -x^2 + 45x + 1/4 as a General Semiotic Framework for 45-Limit Phenomena

Heryanto Sembiring
Zenodo (CERN European Organization for Nuclear Research)
Semiotics and Representation Studies
preprint

f(x) = -x^2 + 45x + 1/4 as a General Semiotic Framework for 45-Limit Phenomena

Heryanto Sembiring
preprint en

Abstract

This paper presents f(x) = -x^2 + 45x + 1/4 as a general semiotic framework for explaining all phenomena bounded by the limit of 45. The function models the cycle of meaning - rising to a peak at 45 and retaining a residual value of 1/4. The framework is applied to linguistics, culture, and human behavior, with focus on North Sumatra context. This work provides a mathematical-semiotic model for interpreting limits in social and cultural systems. Keywords: semiotic, f(x), 45-limit, framework, Medan Author: Heryanto Sembiring DOI: 10.5281/zenodo.23804156

Zenodo (CERN European Organization for Nuclear Research)
Semiotics and Representation Studies
DOIOpen Access PDFOpenAlex
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f(x) = -x^2 + 45x + 1/4 as a General Semiotic Framework for 45-Limit Phenomena — Heryanto Sembiring · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS