This paper demonstrates how to abstract a version of the Catalan Triangle necessary to compute the rank value from a given Catalan Cipher Vector, which is a process called ranking, and the process of obtaining a Catalan Cipher Vector from a given rank value, which is a process called unranking. That version of the Catalan Triangle is called the Bottom Ones Catalan Triangle and is not required to be computed in its entirety for the purpose of ranking and unranking, but only elements of it that are required for the current computation. A formula is derived to compute each element of this triangle and it is demonstrated how the processes of both ranking and unranking are fully linear.
This paper provides a concise overview of Agile and DevOps methodologies in software engineering. It aims to introduce readers to the fundamental principles of Agile and DevOps, accompanied by brief descriptions and practical examples. The advantages and disadvantages of each methodology are discussed, followed by a comparative analysis highlighting key differences. Understanding these methodologies is crucial in today’s IT landscape, as they are commonly employed in various organizations, impacting project management, team collaboration, and product delivery. This paper serves as a valuable resource for individuals seeking a basic understanding of Agile and DevOps methodologies in software engineering.
This paper demonstrates how to abstract a version of the Catalan Triangle necessary to compute the rank value from a given Catalan Cipher Vector, which is a process called ranking, and the process of obtaining a Catalan Cipher Vector from a given rank value, which is a process called unranking. That version of the Catalan Triangle is called the Bottom Ones Catalan Triangle and is not required to be computed in its entirety for the purpose of ranking and unranking, but only elements of it that are required for the current computation. A formula is derived to compute each element of this triangle and it is demonstrated how the processes of both ranking and unranking are fully linear.
