Maxima: meaning, definitions and examples

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maxima

 

[ หˆmรฆksษชmษ™ ]

Noun
Context #1 | Noun

mathematics

In mathematics, a maxima refers to the highest point or value of a function within a given interval. It is the point at which the function reaches its maximum output. Mathematically, if f(x) is a function, then x = a is a local maximum if f(a) โ‰ฅ f(x) for all x in some neighborhood of a. This concept is crucial in calculus and optimization problems, where finding maxima can help determine optimal solutions.

Synonyms

apex, peak, summit, zenith.

Examples of usage

  • The function reaches its maxima at x = 2.
  • In calculus, we often find local maxima to solve optimization problems.
  • Graphically, maxima appear as peaks on the curve.
Context #2 | Noun

general

Maxima can also refer to the greatest or highest level of something in a broader context. It indicates the upper limit or the most significant extent of a particular quality or attribute. For example, one might talk about the maxima of human achievement or the maxima of a product's performance in comparison to its competitors.

Synonyms

apogee, culmination, high point, peak.

Examples of usage

  • The maxima of his achievements is commendable.
  • The maxima of her career coincided with the release of her bestselling book.
  • They reached the maxima of performance during the competition.

Translations

Translations of the word "maxima" in other languages:

๐Ÿ‡ต๐Ÿ‡น mรกxima

๐Ÿ‡ฎ๐Ÿ‡ณ เค…เคงเคฟเค•เคคเคฎ

๐Ÿ‡ฉ๐Ÿ‡ช Maxima

๐Ÿ‡ฎ๐Ÿ‡ฉ maksimum

๐Ÿ‡บ๐Ÿ‡ฆ ะผะฐะบัะธะผัƒะผ

๐Ÿ‡ต๐Ÿ‡ฑ maksimum

๐Ÿ‡ฏ๐Ÿ‡ต ๆœ€ๅคงๅ€ค

๐Ÿ‡ซ๐Ÿ‡ท maximum

๐Ÿ‡ช๐Ÿ‡ธ mรกxima

๐Ÿ‡น๐Ÿ‡ท maksimum

๐Ÿ‡ฐ๐Ÿ‡ท ์ตœ๋Œ€๊ฐ’

๐Ÿ‡ธ๐Ÿ‡ฆ ุฃู‚ุตู‰

๐Ÿ‡จ๐Ÿ‡ฟ maximum

๐Ÿ‡ธ๐Ÿ‡ฐ maximรกlny

๐Ÿ‡จ๐Ÿ‡ณ ๆœ€ๅคง

๐Ÿ‡ธ๐Ÿ‡ฎ maksimalen

๐Ÿ‡ฎ๐Ÿ‡ธ hรกmark

๐Ÿ‡ฐ๐Ÿ‡ฟ ะผะฐะบัะธะผัƒะผ

๐Ÿ‡ฌ๐Ÿ‡ช แƒ›แƒแƒฅแƒกแƒ˜แƒ›แƒฃแƒ›แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ maksimum

๐Ÿ‡ฒ๐Ÿ‡ฝ mรกxima

Etymology

The word 'maxima' is derived from the Latin word 'maximus', which means 'greatest'. It entered the English language through the field of mathematics, where it was used to describe the highest points or values of functions. The plural form, maximas, is used to refer to multiple such points, while 'maximum' is used for singular references. The concept has been vital in the development of calculus, where mathematicians sought ways to determine these highest values systematically. Over time, the word has expanded beyond mathematics and is used in various contexts to signify a peak or the utmost extent of a quality.

Word Frequency Rank

Ranked #12,240, this word falls into high-advanced vocabulary. It appears less frequently but is valuable for expressing precise meanings in specific contexts.