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Meaning of "inverse function" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF INVERSE FUNCTION

inverse function  [ˈɪnˌvɜːs ˈfʌŋkʃən] play
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GRAMMATICAL CATEGORY OF INVERSE FUNCTION

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Inverse function 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 INVERSE FUNCTION MEAN IN ENGLISH?

Inverse function

In mathematics, an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa. i.e., f(x) = y if and only if g(y) = x. A function f that has an inverse is said to be invertible. When it exists, the inverse function is uniquely determined by f and is denoted by f −1, read f inverse. Superscripted "−1" does not, in general, refer to numerical exponentiation. In some situations, for instance when f is an invertible real-valued function of a real variable, the relationship between f and f−1 can be written more compactly, in this case, f−1(f(x)) = x = f(f−1(x)), meaning f−1 composed with f, in either order, is the identity function on R.

Definition of inverse function in the English dictionary

The definition of inverse function in the dictionary is the set of pairs arrived at when the first and second elements of the pairs in the original function are interchanged.

WORDS THAT RHYME WITH INVERSE FUNCTION


adjunction
əˈdʒʌŋkʃən
cofunction
ˌkəʊˈfʌŋkʃən
compunction
kəmˈpʌŋkʃən
conjunction
kənˈdʒʌŋkʃən
defunction
dɪˈfʌŋkʃən
disfunction
dɪsˈfʌŋkʃən
disjunction
dɪsˈdʒʌŋkʃən
dysfunction
dɪsˈfʌŋkʃən
eigenfunction
ˈaɪɡənˌfʌŋkʃən
expunction
ɪkˈspʌŋkʃən
function
ˈfʌŋkʃən
hyperfunction
ˌhaɪpəˈfʌŋkʃən
injunction
ɪnˈdʒʌŋkʃən
interpunction
ˌɪntəˈpʌŋkʃən
inunction
ɪnˈʌŋkʃən
junction
ˈdʒʌŋkʃən
malfunction
mælˈfʌŋkʃən
multifunction
ˈmʌltɪˌfʌŋkʃən
thermojunction
ˌθɜːməʊˈdʒʌŋkʃən
unction
ˈʌŋkʃən

WORDS THAT BEGIN LIKE INVERSE FUNCTION

inveracities
inveracity
Inveraray
Invercargill
Inverclyde
inverity
Inverness
Inverness-shire
inverse
inverse graffiti
inverse square law
inversely
inversion
inversive
invert
invert sugar
invertase
invertebral
invertebrate
inverted chord

WORDS THAT END LIKE INVERSE FUNCTION

accreditation
action
attraction
auction
collection
connection
construction
correction
course of action
detection
direction
election
fiction
introduction
production
protection
reaction
satisfaction
section
selection
transaction

Synonyms and antonyms of inverse function in the English dictionary of synonyms

SYNONYMS

Translation of «inverse function» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF INVERSE FUNCTION

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

Translator English - Chinese

反函数
1,325 millions of speakers

Translator English - Spanish

función inversa
570 millions of speakers

English

inverse function
510 millions of speakers

Translator English - Hindi

व्युत्क्रम समारोह
380 millions of speakers
ar

Translator English - Arabic

وظيفة عكسية
280 millions of speakers

Translator English - Russian

обратная функция
278 millions of speakers

Translator English - Portuguese

função inversa
270 millions of speakers

Translator English - Bengali

বিপরীত ফাংশন
260 millions of speakers

Translator English - French

fonction inverse
220 millions of speakers

Translator English - Malay

Fungsi songsang
190 millions of speakers

Translator English - German

Umkehrfunktion
180 millions of speakers

Translator English - Japanese

逆関数
130 millions of speakers

Translator English - Korean

역함수
85 millions of speakers

Translator English - Javanese

Fungsi sebaliknya
85 millions of speakers
vi

Translator English - Vietnamese

chức năng nghịch đảo
80 millions of speakers

Translator English - Tamil

தலைகீழ் செயல்பாடு
75 millions of speakers

Translator English - Marathi

व्यस्त कार्य
75 millions of speakers

Translator English - Turkish

Ters fonksiyon
70 millions of speakers

Translator English - Italian

funzione inversa
65 millions of speakers

Translator English - Polish

funkcja odwrotna
50 millions of speakers

Translator English - Ukrainian

зворотна функція
40 millions of speakers

Translator English - Romanian

funcție inversă
30 millions of speakers
el

Translator English - Greek

αντίστροφη συνάρτηση
15 millions of speakers
af

Translator English - Afrikaans

inverse funksie
14 millions of speakers
sv

Translator English - Swedish

invers funktion
10 millions of speakers
no

Translator English - Norwegian

inverse funksjon
5 millions of speakers

Trends of use of inverse function

TRENDS

TENDENCIES OF USE OF THE TERM «INVERSE FUNCTION»

The term «inverse function» is regularly used and occupies the 66.554 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
69
/100
The map shown above gives the frequency of use of the term «inverse function» in the different countries.
Principal search tendencies and common uses of inverse function
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «inverse function».

FREQUENCY OF USE OF THE TERM «INVERSE FUNCTION» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «inverse function» during the past 500 years. Its implementation is based on analysing how often the term «inverse function» 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 inverse function

EXAMPLES

10 ENGLISH BOOKS RELATING TO «INVERSE FUNCTION»

Discover the use of inverse function in the following bibliographical selection. Books relating to inverse function and brief extracts from same to provide context of its use in English literature.
1
Complex Function Theory
Moreover, its derivative, f, is never 0, and its inverse function is continuous. Granted these facts, one easily sees, by the same reasoning one uses in calculus , that the inverse to 1 (Exercise IV.14.1 below). f(z) If the holomorphic function f, ...
Donald Sarason, 2007
2
Multivariable Calculus
This fact suggests that properties of the derivative at a point should be reflected in properties of the function near the point. The inverse function theorem and implicit function theorem are both instances of this phenomenon. The inverse function ...
L. Corwin, 1982
3
Calculus: An Intuitive and Physical Approach (Second Edition)
This relation is shown in the upper half of Fig. 1 1-4 where. again, d is shown as the independent variable. The graphs suggest the following. We can and do define the inverse function of d = c2/64 to be the multiple-valued function r2 = (Ad or c ...
Morris Kline, 2013
4
Polynomial Automorphisms: And the Jacobian Conjecture
The first of these is the formal inverse function theorem, the algebraic analogue of the local inverse function theorem of calculus. For example we use it to describe the so-called Lefschetz-principle and the clearing map; both are techniques to ...
Arno van den Essen, 2000
5
The Implicit Function Theorem: History, Theory, and Applications
It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics.
Steven G. Krantz, Harold R. Parks, 2012
6
Calculus I:
Find an inverse function g for/(x) = x2 + 2x + 1 on some interval containing zero. What is g (9)? What is g(x)? 9. Sketch the graph of the inverse of each of the functions in Fig. 5.3.12. (a) (b) (c) Figure 53.12. Sketch the graph of the inverse of  ...
Jerrold E. Marsden, 1985
7
Calculus: Early Transcendental Functions
REMARK Although the notation used to denote an inverse function resembles exponential notation, it is a different use of as a superscript. That is, in general, 1 1 f1x fx. Verify that one function is the inverse function of another function.
Ron Larson, Bruce Edwards, 2014
8
Final Exam Review: College Algebra & Trigonometry
(See ae 48) Inverse function Let a function be specified by the set of ordered pairs {(x, y)}. Then the inverse relation of this function is the set of ordered pairs {( y, x)}. If this inverse relation is also a function, then for the inverse relation ,we ...
A. A. Frempong
9
Final Exam Review: Intermediate Algebra
The inverse may be a relation or a function. ee page ' Inverse function Let a function be specified by the set of ordered pairs {(x, y)}. Then the inverse relation of this function is the set of ordered pairs {(y, x)}. If this inverse relation is also a ...
A. A. Frempong
10
Final Exam Review: College Trigonometry
Inverse function Let a function be specified by the set of ordered pairs {(x, y)}. Then the inverse relation of this function is the set of ordered pairs {(y, x)}. If this inverse relation is also a function, then for the inverse relation ,we symbolize f '1 ( x) ...
A. A. Frempong

10 NEWS ITEMS WHICH INCLUDE THE TERM «INVERSE FUNCTION»

Find out what the national and international press are talking about and how the term inverse function is used in the context of the following news items.
1
John Nash Awarded the 2015 Abel Mathematics Prize
Nash's name is attached to a range of influential work in mathematics, including the Nash-Moser inverse function theorem, the Nash-De Giorgi ... «Planet Princeton, Mar 15»
2
Common Core Seen Falling Short in High School Math
Among the gaps listed were: "the explicit definition of congruence and similarity transformation, the explicit definition of an inverse function, an ... «Education Week News, Feb 15»
3
Uber and Lyft Won't Kill Your Car
The average time it takes for a car to reach a customer is an inverse function of the number of cars a network has on the road. Quadruple the ... «Bloomberg View, Jan 15»
4
Lyft says its drivers can make $35 an hour. I spent a week driving to …
The average time it takes for a car to reach a customer is an inverse function of the number of cars a network has on the road. Quadruple the ... «Vox, Dec 14»
5
The New Era of Communication Among Americans
These data clearly show that staying in touch with others using most of these forms of communication is an inverse function of age. There are ... «Gallup.com, Nov 14»
6
LIVE REPORT: Public Enemy
... a quarter of a century fighting the power, slotting in a gig where the sense of occasion is an inverse function of the number of tickets available. «The Quietus, Aug 14»
7
Dividend Discount Value Of DJII (DIA)
In essence, changes in value are a direct function of changes in dividends and an inverse function of changes interest rates, (long bond yields). «Seeking Alpha, Jul 14»
8
Compass EMP adds 3 new Smart Beta ETFs to Product Line-Up
Weights are assigned by an inverse function of price volatility with lower weights given to high volatility stocks and sectors and higher weights ... «PR Newswire, Jul 14»
9
Fed Follies, US Housing Market Fiasco
In the absence of real income gains, therefore, the “affordable” price of housing is essentially an inverse function of the cost of leveraged carry. «The Market Oracle, Apr 14»
10
Why Govt policies should consider market microstructure issues
Impact cost, more often than not, is an inverse function of the liquidity of a contract. So far, there is hardly any sophisticated analysis on the ... «Hindu Business Line, Mar 14»

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