In Mathematics interval is a range of numbers between two given numbers and indexes are the including numbers between those two numbers. This paper discusses the beautiful and effective applications of indexes and intervals. I discuss this topic based on the theory of summation methods. Here I tried to show how addition and multiplication are closely connected.
Inhaltsverzeichnis (Table of Contents)
- Introduction
- Index
- Effective intervals
- Possible intervals
- Particular intervals
- Assembly of assemblies of indexes
- Summation method I
- Summation method II
- Summation method III
- Biswas triangle
- Summation method IV
- Conclusions
Zielsetzung und Themenschwerpunkte (Objectives and Key Themes)
This paper explores the concept of indexes and intervals in mathematics, demonstrating their applications within the framework of summation methods. The author introduces a new concept, the Biswas triangle, and develops theorems related to both summation methods and this new concept.
- Indexes and intervals in mathematics
- Summation methods and their applications
- The Biswas triangle as a new concept
- Relationships between addition and multiplication
- Theoretical frameworks for analyzing mathematical sequences and series
Zusammenfassung der Kapitel (Chapter Summaries)
The paper begins by defining essential terms and outlining the development of five theorems, four related to summation methods and one dedicated to the Biswas triangle. The second chapter delves into the concept of indexes, exploring their use in defining parent and infant assemblies. This chapter further discusses effective, possible, and particular intervals, demonstrating how they are constructed and used in analyzing the relationships between these assemblies. The chapter concludes with an introduction to assemblies of assemblies of indexes, providing a foundation for the subsequent exploration of summation methods.
Schlüsselwörter (Keywords)
This paper focuses on the mathematical concepts of index, interval, summation methods, and the Biswas triangle. The paper explores applications of these concepts, particularly in the context of analyzing sequences and series. The research is based on theoretical frameworks, aiming to illustrate the interconnectedness of addition and multiplication within specific mathematical contexts.
Frequently Asked Questions
What are "Summation Methods" in mathematics?
Summation methods are theoretical frameworks used to analyze and calculate the sums of sequences and series, often exploring the link between addition and multiplication.
What is the "Biswas Triangle"?
The Biswas triangle is a new mathematical concept introduced in this paper, which is used to develop specific theorems related to numerical sequences.
How are indexes and intervals used in this paper?
Indexes refer to the numbers included between a range, while intervals define that range. They are used to construct "assemblies of indexes" for complex summation calculations.
What is the connection between addition and multiplication in this theory?
The paper aims to show how these two fundamental operations are closely connected through the structured application of indexes and intervals in summation formulas.
What are "Effective" and "Possible" intervals?
These are specific classifications of intervals used to define parent and infant assemblies of numbers, providing a foundation for the proposed summation theorems.
- Arbeit zitieren
- Deapon Biswas (Autor:in), 2019, Summation Methods, München, GRIN Verlag, https://www.grin.com/document/464786
