This project presents a new algorithm for identifying perfect numbers by leveraging beautiful triangular numbers. By discovering and implementing a unique pattern in the geometric structure of ...

e.g. If 4 is given: 1 + 3 + 6 + 10 = 20. Triangular Numbers cannot be negative so return 0 if a negative number is given.

Abstract: Fuzzy number type data is a typical class of fuzzy data, and it can be regarded as a general form of the interval data and the crisp data. This paper studies fuzzy clustering algorithm for ...

Figuring out Figurate Numbers The figure below shows the visual pattern for the first few triangular, square, pentagonal, and hexagonal numbers. These numbers are called figurate numbers. The number ...

Abstract: The primary goal of this article is to develop a direct and simplified approach for computing triangular fuzzy Banzhaf values for a special class of cooperative games with coalitions' values ...

https://doi.org/10.4169/college.math.j.46.3.172 https://www.jstor.org/stable/10.4169/college.math.j.46.3.172 The College Mathematics Journal emphasizes the first two ...

Quadratic Programming (QP) is a mathematical modeling technique designed to optimize the usage of limited resources and has been widely applied to solve real world problems. In conventional quadratic ...