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Exploring Unique Expressions of Positive Integers through Partitions and Theorems

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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 a...