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 ...

Independent Researcher, New York, USA. Triangular numbers have long attracted mathematicians because they stand at a rare intersection of simplicity and structure. They arise from one of the most ...

for i in xrange(2, math.floor(math.sqrt(K) + 1)): if (K % i == 0): if (i**2 == K): # don't count sqrt twice.

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 ...

Ross HE & Knott BI (2019) Dicuil (9th century) on triangular and square numbers. British Journal for the History of Mathematics, 34 (2), pp. 79-94. https://doi.org/10 ...