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In this paper, we are introducing a symbol representing a not-yet-known value. This symbol can be used to represent one or more unknown digits within a number. A mathematical notation “extended” in this way makes it easier to store numerical approximations. It also allows you to perform computations between approximate values or to perform partial or approximate computations. We called this symbol Nondum, the Latin word meaning not yet (known, measured, or calculated). Furthermore, on the level of symbolic computing, we will show some analogies with infinite computing, grossone and the so-called unimaginable numbers.

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Introducing Nondum, A Mathematical Notation for Computation with Approximations

  • 会议论文

  • 发表日期：

    2025年

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  • Francesco La Regina,
  • Gianfranco d’Atri

摘要

In this paper, we are introducing a symbol representing a not-yet-known value. This symbol can be used to represent one or more unknown digits within a number. A mathematical notation “extended” in this way makes it easier to store numerical approximations. It also allows you to perform computations between approximate values or to perform partial or approximate computations. We called this symbol Nondum, the Latin word meaning not yet (known, measured, or calculated). Furthermore, on the level of symbolic computing, we will show some analogies with infinite computing, grossone and the so-called unimaginable numbers.