Maxima: meaning, definitions and examples
๐
maxima
[ หmรฆksษชmษ ]
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) โฅ 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
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.
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:
๐ต๐น mรกxima
๐ฎ๐ณ เค เคงเคฟเคเคคเคฎ
๐ฉ๐ช Maxima
- Hรถchstwert
- Maximum
๐ฎ๐ฉ maksimum
๐บ๐ฆ ะผะฐะบัะธะผัะผ
๐ต๐ฑ maksimum
๐ฏ๐ต ๆๅคงๅค
๐ซ๐ท maximum
๐ช๐ธ mรกxima
๐น๐ท maksimum
๐ฐ๐ท ์ต๋๊ฐ
๐ธ๐ฆ ุฃูุตู
๐จ๐ฟ maximum
๐ธ๐ฐ maximรกlny
๐จ๐ณ ๆๅคง
๐ธ๐ฎ maksimalen
๐ฎ๐ธ hรกmark
๐ฐ๐ฟ ะผะฐะบัะธะผัะผ
๐ฌ๐ช แแแฅแกแแแฃแแ
๐ฆ๐ฟ maksimum
๐ฒ๐ฝ 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.