Exploring Unique Expressions of Positive Integers through Partitions and Theorems

Deapon Biswas

ISBN 10: 3389007784 / ISBN 13: 9783389007785

Verlag: GRIN Verlag, GRIN Verlag Mär 2024, 2024

Beschreibung

Neuware -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. 24 pp. Englisch.

Bestandsnummer des Verkäufers 9783389007785

Bibliografische Details

• Titel: Exploring Unique Expressions of Positive Integers through Partitions and Theorems
• Verlag: GRIN Verlag, GRIN Verlag Mär 2024
• Erscheinungsjahr: 2024
• Sprache: Englisch
• ISBN-10: 3389007784
• ISBN-13: 9783389007785
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.