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Exploring Unique Expressions of Positive Integers through Partitions and Theorems

Exploring Unique Expressions of Positive Integers through Partitions and Theorems

Paperback

General Mathematics

ISBN10: 3389007784
ISBN13: 9783389007785
Publisher: Grin Verlag
Published: Mar 5 2024
Pages: 24
Weight: 0.10
Height: 0.06 Width: 5.83 Depth: 8.27
Language: English
Research Paper (postgraduate) from the year 2024 in the subject Mathematics - Algebra, language: English, abstract: This paper delves into the realm of natural numbers and their expression as sums of other natural numbers, a concept known as partitions. Focusing on partitions originating from a positive integer and comprising positive integers, a systematic analysis is presented. Essential terms are defined to lay the groundwork, followed by the introduction of three key theorems and a consequential corollary. These theorems elucidate the uniqueness of expressions formed through arithmetic addition operations on such partitions, offering valuable insights into the structure and properties of positive integers. This exploration not only contributes to the theory of numbers but also holds implications for various mathematical and computational applications.

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Biswas, Deapon

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General Mathematics