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Meaning of "extremum" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF EXTREMUM

extremum  [ɪkˈstriːməm] play
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GRAMMATICAL CATEGORY OF EXTREMUM

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Extremum is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES EXTREMUM MEAN IN ENGLISH?

extremum

Maxima and minima

In mathematics, the maximum and minimum of a function, known collectively as extrema, are the largest and smallest value that the function takes at a point either within a given neighborhood or on the function domain in its entirety. Pierre de Fermat was one of the first mathematicians to propose a general technique for finding maxima and minima. More generally, the maximum and minimum of a set are the greatest and least element in the set. Unbounded infinite sets such as the set of real numbers have no minimum and maximum. To locate extreme values is the basic objective of optimization.

Definition of extremum in the English dictionary

The definition of extremum in the dictionary is an extreme point. Other definition of extremum is the maximum or minimum value of a mathematical function.

WORDS THAT RHYME WITH EXTREMUM


amomum
əˈməʊməm
cardamum
ˈkɑːdəməm
chrysanthemum
krɪˈsænθəməm
helianthemum
hiːlɪˈænθəməm
infimum
ˈɪnfɪməm
lithospermum
ˌlɪθəʊˈspɜːməm
maximum
ˈmæksɪməm
menispermum
ˌmɛnɪˈspɜːməm
mesembryanthemum
mɪzˌɛmbrɪˈænθɪməm
minimum
ˈmɪnɪməm
optimum
ˈɒptɪməm
Pergamum
ˈpɜːɡəməm
simillimum
sɪˈmɪlɪməm
suboptimum
sʌbˈɒptɪməm
xeranthemum
zɪəˈrænθəməm
xylobalsamum
ˌzaɪləʊˈbɔːlsəməm

WORDS THAT BEGIN LIKE EXTREMUM

extreat
Extremadura
extremal
extreme
extreme fighting
extreme ironing
extreme programming
extreme sport
extreme unction
extremely
extremely high frequency
extremely low frequency
extremeness
extremes
extremism
extremist
extremities
extremity
extremophile
extricable

WORDS THAT END LIKE EXTREMUM

album
aluminium
aluminum
at a premium
Belgium
Comum
cum
datum
forum
hum
medium
mum
museum
petroleum
platinum
premium
school-gate mum
stadium
sum
um

Synonyms and antonyms of extremum in the English dictionary of synonyms

SYNONYMS

Translation of «extremum» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF EXTREMUM

Find out the translation of extremum to 25 languages with our English multilingual translator.
The translations of extremum from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «extremum» in English.

Translator English - Chinese

极值
1,325 millions of speakers

Translator English - Spanish

extremum
570 millions of speakers

English

extremum
510 millions of speakers

Translator English - Hindi

extremum
380 millions of speakers
ar

Translator English - Arabic

extremum
280 millions of speakers

Translator English - Russian

экстремум
278 millions of speakers

Translator English - Portuguese

extremum
270 millions of speakers

Translator English - Bengali

এক্সট্রিমাম
260 millions of speakers

Translator English - French

extremum
220 millions of speakers

Translator English - Malay

Extremum
190 millions of speakers

Translator English - German

Extrem
180 millions of speakers

Translator English - Japanese

極値
130 millions of speakers

Translator English - Korean

극값
85 millions of speakers

Translator English - Javanese

Extremum
85 millions of speakers
vi

Translator English - Vietnamese

cực trị
80 millions of speakers

Translator English - Tamil

extremum
75 millions of speakers

Translator English - Marathi

Extremum
75 millions of speakers

Translator English - Turkish

ekstremum
70 millions of speakers

Translator English - Italian

estremo
65 millions of speakers

Translator English - Polish

extremum
50 millions of speakers

Translator English - Ukrainian

екстремум
40 millions of speakers

Translator English - Romanian

Extreme
30 millions of speakers
el

Translator English - Greek

extremum
15 millions of speakers
af

Translator English - Afrikaans

extremum
14 millions of speakers
sv

Translator English - Swedish

extremum
10 millions of speakers
no

Translator English - Norwegian

ytterpunkt
5 millions of speakers

Trends of use of extremum

TRENDS

TENDENCIES OF USE OF THE TERM «EXTREMUM»

The term «extremum» is regularly used and occupies the 97.619 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
55
/100
The map shown above gives the frequency of use of the term «extremum» in the different countries.
Principal search tendencies and common uses of extremum
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «extremum».

FREQUENCY OF USE OF THE TERM «EXTREMUM» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «extremum» during the past 500 years. Its implementation is based on analysing how often the term «extremum» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about extremum

EXAMPLES

10 ENGLISH BOOKS RELATING TO «EXTREMUM»

Discover the use of extremum in the following bibliographical selection. Books relating to extremum and brief extracts from same to provide context of its use in English literature.
1
Real-Time Optimization by Extremum-Seeking Control
Written by authorities in the field and pioneers in adaptive nonlinear control systems, this book presents both significant theoretic value and important practical potential.
Kartik B. Ariyur, Miroslav Krstic, 2003
2
Variational and Extremum Principles in Macroscopic Systems
The first part of the book is focused on the theory, whereas the second focuses on applications.
Stanislaw Sieniutycz, Henrik Farkas, 2010
3
Extremum Problems for Eigenvalues of Elliptic Operators: ...
Focusing on extremal problems, this book looks for a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints.
Antoine Henrot, 2006
4
Variational Principle of Extremum in Electromechanical Systems
In this algorithm a method of searching for global saddle point simultaneously on two functionals is realized. The book contains numerous examples, including those presented as M-functions of the MATLAB system.
Solomon Khmelnik, 2007
5
Stochastic Averaging and Stochastic Extremum Seeking
The text presents significant generalizations on existing stochastic averaging theory developed from scratch and necessitated by the need to avoid violation of previous theoretical assumptions by algorithms which are otherwise effective in ...
Shu-Jun Liu, Miroslav Krstic, 2012
6
Connectedness and Necessary Conditions for an Extremum
Regarding the style of the present book it should be remarked that it is comparatively elementary. The author has made constant efforts to make the book as self-contained as possible.
A.P. Abramov, 1998
7
Extremum-Seeking Control and Applications: A Numerical ...
Extremum-seeking Control and Applications is divided into two parts. In the first, the authors review existing analog-optimization-based extremum-seeking control including gradient-, perturbation- and sliding-mode-based control designs.
Chunlei Zhang, Raúl Ordóñez, 2011
8
Calculus of Variations
Corresponding to these two possibilities, we can define two kinds of extrema: We shall say that the functional J[y] has a weak extremum for y = y if there exists an e > 0 such that J[y] — J[y] has the same sign for all y in the domain of definition of ...
I. M. Gelfand, S. V. Fomin, 2012
9
Econometric Foundations Pack with CD-ROM
Using the concept of extremum estimation, one can formulate the general maximum likelihood estimator as the extremum estimator 0 = argmax[m(0,Y, x)], ( 7.2.1) Sen where the estimation objective function is defined as m(0, Y, x) = L(0; Y, x).
Ron C. Mittelhammer, 2000
10
Handbook of Mathematics for Engineers and Scientists
Extremal Points of Functions of Several Variables 6.3.4-1. Conditions of extremum of a function of two variables. 1°. Points of minimum, maximum, or extremum. A point (.CQ, yo) 's called a point of local minimum (resp., maximum) of a function ...
Andrei D. Polyanin, Alexander V. Manzhirov, 2006

10 NEWS ITEMS WHICH INCLUDE THE TERM «EXTREMUM»

Find out what the national and international press are talking about and how the term extremum is used in the context of the following news items.
1
Calm and collected: Heathrow security manager Sundeep makes TV …
GEORGE CLOONEY, in his 2009 film Up In The Air, plays frequent flyer ad extremum, Ryan, whose job is to fly around America firing people. «Hillingdon Times, Jun 15»
2
Verklempt, writes Shweta Bachchan Nanda
We are a people ad extremum, prone to violent emotions interspersed with periods of productivity. To say it plainly, we love a good argument, ... «Daily News & Analysis, Mar 15»
3
Transform simple sounds with Sinevibes' Extremum plugin
A new year it might be, but Sinevibes is sticking to its distinctive-looking AU-only effects processor blueprint with Extremum, which is designed ... «MusicRadar.com, Jan 15»
4
Spotware updates cTrader FX platform and cAlgo trading bots
Extremum points have been added to the Equity line in Backtesting. Now you can see the exact value of Equity Drawdown. Equity extremums. «LeapRate, Jul 14»
5
The Action of General Relativity
Vary the kinematic action, and the result is an extremum for the path length. Because the action is about path length and not explicitly about ... «Science 2.0, May 14»
6
The 3 Masses in the Action for Newtonian Gravity
The action can also be varied with respect to a position and look for an extremum. The path particles follow are these extremums of the action. «Science 2.0, Jan 14»
7
A Scalar Gravity Coupling Model That Bends Light
Vary the action with respect to the parameter lambda and look for an extremum value: Because the derivative is the constant zero, the term ... «Science 2.0, Nov 13»
8
AskAngus 20: All You Need is Maenad Love
*Thomas Aquinas, in Summa Theologiæ (“Deficit omne extremum comparatione hominis ad Deum, inquantum est sacramentum.”) Gardenia: Is ... «Patheos, Sep 13»
9
Where the Indian idea of infiniteness?
... who recorded the notion of a positional numbering system, i.e. the number line, which quickly consigned infinity to an extremum, out of sight, ... «The Hindu, Aug 13»
10
Supposed haunting brings visitors to jail museum
Bill DeBoer of Extremum Spiritum Paranormal shot the video when he visited the museum, built in 1905 and on the National Register of Historic ... «The Southern, Aug 13»

REFERENCE
« EDUCALINGO. Extremum [online]. Available <https://educalingo.com/en/dic-en/extremum>. Apr 2024 ».
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