Not all elementary functions can be expressed with exp-minus-log

🔍 Exploring the Limits of Elementary Functions



Elementary functions, a fundamental concept in mathematics, encompass a broad range of functions that can be expressed using a finite combination of basic arithmetic operations, exponentials, and logarithms. However, not all elementary functions can be expressed using the exp-minus-log formulation, which significantly limits the expressiveness of certain mathematical models and computations. This realization has profound implications for fields such as computer science and engineering, where the ability to accurately model and compute complex phenomena is crucial.

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https://news.ycombinator.com/item?id=47773788

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https://www.stylewarning.com/posts/not-all-elementary/

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mmastrac

id: 1841
uid: lwKt9
insdate: 2026-04-15 08:05:27
title: Not all elementary functions can be expressed with exp-minus-log
additional:

🔍 Exploring the Limits of Elementary Functions



Elementary functions, a fundamental concept in mathematics, encompass a broad range of functions that can be expressed using a finite combination of basic arithmetic operations, exponentials, and logarithms. However, not all elementary functions can be expressed using the exp-minus-log formulation, which significantly limits the expressiveness of certain mathematical models and computations. This realization has profound implications for fields such as computer science and engineering, where the ability to accurately model and compute complex phenomena is crucial.
category: Hacker News
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guid: https://news.ycombinator.com/item?id=47773788
source_url: https://www.stylewarning.com/posts/not-all-elementary/
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author_name: mmastrac
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