Sub-sequences are a common construct in mathematical and computational fields, often used to refer to a sequence of elements that are part of a larger sequence. However, there are several synonyms for the term sub-sequences that can help to clarify the meaning of the concept. These synonyms include subsets, subsequences, portions, fragments, and sections. Each of these terms implies a smaller grouping of elements that are part of a larger set, with varying degrees of emphasis on order, continuity, and similarity. Understanding the nuances and connotations of these different synonyms can help researchers and scholars communicate their ideas more effectively and precisely.