Can the Threshold Logarithm Solve the Problems of Classical Logarithms Near Zero?

This article explores a new approach to logarithmic calculations near zero, addressing the challenges faced by the classical logarithm. We introduce the Threshold Logarithm, a function designed to provide meaningful results where traditional methods fail. The article discusses the philosophical and physical foundations of this concept, presents its mathematical framework, and shares experimental results that highlight its potential applications.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-09-09
DOI
https://doi.org/10.5281/zenodo.13734469
Primary Topic
Numerical Methods and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

Can the Threshold Logarithm Solve the Problems of Classical Logarithms Near Zero?

Zenodo (CERN European Organization for Nuclear Research)
Numerical Methods and Algorithms
article

Can the Threshold Logarithm Solve the Problems of Classical Logarithms Near Zero?

article en

Abstract

This article explores a new approach to logarithmic calculations near zero, addressing the challenges faced by the classical logarithm. We introduce the Threshold Logarithm, a function designed to provide meaningful results where traditional methods fail. The article discusses the philosophical and physical foundations of this concept, presents its mathematical framework, and shares experimental results that highlight its potential applications.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 51%
Numerical Methods and Algorithms
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Can the Threshold Logarithm Solve the Problems of Classical Logarithms Near Zero? · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS