In this paper I offered an expression widely used in this part “Formation Analysis”. It is called the “Triangulum” mostly seen as a triangle. A triangulum is an expression containing components where the components arranged as a triangle. The introduction states a definition of triangulum and 7 theorems to cover this paper. After the definition I state elaborately how to make a triangulum.
Inhaltsverzeichnis (Table of Contents)
- Introduction
- Triangulum
- How to make a triangulum
- Special combination series.
- Conclusions
Zielsetzung und Themenschwerpunkte (Objectives and Key Themes)
This paper introduces a mathematical concept known as the “Triangulum,” a triangular expression containing components arranged in a specific manner. The author aims to define this concept, illustrate its creation, and explore its application in special combination series.
- Definition and properties of the “Triangulum”
- Construction of triangulums with varying degrees and widths
- Relationship between triangulums and special combination series
- Applications of the “Triangulum” in mathematical problems
- Potential extensions of the “Triangulum” concept
Zusammenfassung der Kapitel (Chapter Summaries)
- Introduction: The author defines the term "Triangulum" and presents 7 theorems that form the basis of the paper. The section elaborates on the process of constructing a triangulum.
- Triangulum: A formal definition of a triangulum is provided, highlighting its triangular arrangement of components. The concept of width and degree of a triangulum is introduced, and examples are given. The author discusses the potential for components to include numbers, other triangulums, or other objects.
- How to make a triangulum: This section presents a step-by-step process for creating a triangulum. The author uses a row of letters as an example, demonstrating the process of constructing subsequent rows by eliminating elements. The concept of degree and width is further explained through the creation of triangulums of different degrees.
Schlüsselwörter (Keywords)
This work focuses on the mathematical concept of the “Triangulum,” a unique triangular expression used to represent and analyze special combination series. The paper explores the construction of these triangulums and their connection to mathematical principles. Key terms include "Triangulum," "Special Combination Series," "degree," "width," and "components."
Frequently Asked Questions
What is a "Triangulum" in mathematics?
A Triangulum is a mathematical expression where components (numbers or objects) are arranged in a triangular formation, often used in formation analysis.
How do you construct a Triangulum?
It is constructed by starting with a row of elements and creating subsequent rows by eliminating or combining elements until a triangular shape is formed.
What are "degree" and "width" in this context?
The degree and width are parameters that define the size and the structural complexity of the triangular expression.
What is the connection to "Special Combination Series"?
The paper explores how Triangulums can be used to represent and solve problems related to specific types of mathematical combination series.
Can a Triangulum contain other Triangulums?
Yes, the definition allows for components to be numbers, other triangulums, or various other mathematical objects.
- Quote paper
- Deapon Biswas (Author), 2018, How to Make a Triangulum and Special Combination Series, Munich, GRIN Verlag, https://www.grin.com/document/453922
