What is another word for infimum?

Pronunciation: [ɪnfˈɪməm] (IPA)

Infimum is a mathematical term that refers to the smallest value of a set of real numbers. It is also known as the greatest lower bound. Synonyms for infimum include minimum, lower limit, limit inferior, and greatest minorant. These terms all refer to the same concept of finding the lowest value in a set of numbers or functions. In calculus, finding the infimum of a function can help determine the existence of minimum or maximum values. In set theory, the infimum is used to define the intersection of sets. Regardless of the context, the infimum represents the smallest possible value within a set or function.

What are the hypernyms for Infimum?

A hypernym is a word with a broad meaning that encompasses more specific words called hyponyms.

What are the opposite words for infimum?

An infimum is the opposite of its counterpart, supremum. The term "infimum" is a mathematical term used to refer to the smallest element in a set. Antonyms for "infimum" include the highest, maximum, or top element of a set, known as the supremum. In the context of mathematical analysis, infimum and supremum play a significant role in defining and studying limits, continuity, and convergence of functions. The concepts of infimum and supremum are found in several branches of mathematics, including calculus, real analysis, and topology. Understanding antonyms for infimum is critical to mastering mathematical analysis and other mathematical branches that deal with sets and limits.

What are the antonyms for Infimum?

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