Download the app
educalingo
Search

Meaning of "imaginary number" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF IMAGINARY NUMBER

imaginary number play
facebooktwitterpinterestwhatsapp

GRAMMATICAL CATEGORY OF IMAGINARY NUMBER

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Imaginary number 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 IMAGINARY NUMBER MEAN IN ENGLISH?

Imaginary number

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is -b2. For example, 5i is an imaginary number, and its square is −25. Except for 0, imaginary numbers produce negative real numbers when squared. An imaginary number bi can be added to a real number a to form a complex number of the form a + bi, where the real numbers a and b are called, respectively, the real part and the imaginary part of the complex number. Imaginary numbers can therefore be thought of as complex numbers whose real part is zero. The name "imaginary number" was coined in the 17th century as a derogatory term, as such numbers were regarded by some as fictitious or useless. The term "imaginary number" now means simply a complex number with a real part equal to 0, that is, a number of the form bi.

Definition of imaginary number in the English dictionary

The definition of imaginary number in the dictionary is any complex number of the form ib, where i = √–1.

WORDS THAT BEGIN LIKE IMAGINARY NUMBER

imaginable
imaginably
imaginal
imaginarily
imaginariness
imaginary
imaginary part
imagination
imaginational
imaginative
imaginatively
imaginativeness
imagine
imaginer
imagines
imaging
imaginings
imagism
imagist
imagistic

WORDS THAT END LIKE IMAGINARY NUMBER

accession number
call number
climber
cool as a cucumber
cucumber
house number
Humber
lumber
mobile number
number
outnumber
phone number
plumber
reference number
registration number
serial number
slumber
social security number
street number
telephone number
VAT number

Synonyms and antonyms of imaginary number in the English dictionary of synonyms

SYNONYMS

Translation of «imaginary number» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF IMAGINARY NUMBER

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

Translator English - Chinese

虚数
1,325 millions of speakers

Translator English - Spanish

número imaginario
570 millions of speakers

English

imaginary number
510 millions of speakers

Translator English - Hindi

काल्पनिक संख्या
380 millions of speakers
ar

Translator English - Arabic

عدد تخيلي
280 millions of speakers

Translator English - Russian

мнимое число
278 millions of speakers

Translator English - Portuguese

número imaginário
270 millions of speakers

Translator English - Bengali

কল্পিত সংখ্যা
260 millions of speakers

Translator English - French

nombre imaginaire
220 millions of speakers

Translator English - Malay

Nombor khayalan
190 millions of speakers

Translator English - German

imaginäre Zahl
180 millions of speakers

Translator English - Japanese

虚数
130 millions of speakers

Translator English - Korean

허수
85 millions of speakers

Translator English - Javanese

Nomer imajiner
85 millions of speakers
vi

Translator English - Vietnamese

số ảo
80 millions of speakers

Translator English - Tamil

கற்பனை எண்
75 millions of speakers

Translator English - Marathi

काल्पनिक संख्या
75 millions of speakers

Translator English - Turkish

Hayali sayı
70 millions of speakers

Translator English - Italian

numero immaginario
65 millions of speakers

Translator English - Polish

liczba urojona
50 millions of speakers

Translator English - Ukrainian

уявне число
40 millions of speakers

Translator English - Romanian

număr imaginar
30 millions of speakers
el

Translator English - Greek

φανταστικό αριθμό
15 millions of speakers
af

Translator English - Afrikaans

denkbeeldige getal
14 millions of speakers
sv

Translator English - Swedish

imaginärt tal
10 millions of speakers
no

Translator English - Norwegian

imaginære tall
5 millions of speakers

Trends of use of imaginary number

TRENDS

TENDENCIES OF USE OF THE TERM «IMAGINARY NUMBER»

The term «imaginary number» is normally little used and occupies the 117.302 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
45
/100
The map shown above gives the frequency of use of the term «imaginary number» in the different countries.
Principal search tendencies and common uses of imaginary number
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «imaginary number».

FREQUENCY OF USE OF THE TERM «IMAGINARY NUMBER» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «IMAGINARY NUMBER»

Discover the use of imaginary number in the following bibliographical selection. Books relating to imaginary number and brief extracts from same to provide context of its use in English literature.
1
An Imaginary Tale: The Story of "i" [the square root of ...
This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics.
Paul J. Nahin, 2010
2
Algebra the Easy Way
"So it is clear what it means to multiply a real number by an imaginary number," the king said. "The result will be another imaginary number." We decided that an imaginary number could be written in the form bi, where b is a real number.
Douglas Downing, 2003
3
TI-83/84 Plus Graphing Calculators For Dummies
You enter the imaginary number i in an expression by pressing yÀ; e is entered by pressing y•. Figures 4-2 and 4-5 show complex numbers entered (respectively ) in rectangular form and in polar form. If the calculator is in Radian mode, θ in the  ...
Constance C. Edwards, 2010
4
College Trigonometry
9 3 Around the seventeenth century, a new number, called an imaginary number, was defined so that a negative number would have a square root. The letter was chosen to represent the number whose square is 1. i Definition of i Math Matters ...
Richard Aufmann, Vernon C. Barker, Richard Nation, 2007
5
Foundations Of Transcomplex Numbers
(2.4.5) This addition cannot be carried further, implying that an imaginary number plus an image-imaginary number is not again an imaginary number neither an image-imaginary number. The addition of an imaginary plus an image-imaginary  ...
Ernesto Perez
6
E-Z Algebra
We decided to use the letter i to represent the square root of negative 1 : "The number i is the fundamental imaginary number," the professor decided. "We can build up other imaginary numbers as multiples of i. For example, suppose we need ...
Douglas Downing, 2009
7
Prime Obsession:: Bernhard Riemann and the Greatest Unsolved ...
What about complex numbers with no real part? They are called imaginary numbers. Examples of imaginary numbers are: 2i, -1479t, ni, 0.0000000577 i. An imaginary number can, of course, be written as a full complex number, if you want to ...
John Derbyshire, 2003
8
Rocket Science for Traders: Digital Signal Processing ...
If you add an imaginary number to another imaginary number, the result is an imaginary number that is the sum of the two imaginary numbers. However, if you add an imaginary number to a real number, the result is a complex number.
John F. Ehlers, 2001
9
Practical MATLAB Basics for Engineers
The square root of a negative real number is a pure imaginary number represented by the imaginary symbol i or j, where √ ___ −1 = j = i. Then, the square root of any negative real number can be expressed in terms of i. Since i is used to ...
Misza Kalechman, 2008
10
Musimathics: The Mathematical Foundations of Music
Mathematicians have named the imaginary number (although it is worth pointing out that in fact all numbers are imaginary insofar as they are all free creations of the human mind). The usefulness of the imaginary number is actually quite real; ...
Gareth Loy, 2011

10 NEWS ITEMS WHICH INCLUDE THE TERM «IMAGINARY NUMBER»

Find out what the national and international press are talking about and how the term imaginary number is used in the context of the following news items.
1
Greece's imaginary numbers will destroy any deal - Chicago Tribune
Today, it's just another imaginary number. Greece is already in arrears to the IMF, and has missed so many deadlines that blowing past another ... «Chicago Tribune, Jul 15»
2
Moving Forward with the ACA: Employers and Individuals
To avoid this, the broker or applicant may have to “rig” the system and estimate their 2015 income at some imaginary number to keep them out ... «A News Cafe, Jul 15»
3
Margaret Beck: Moving forward with the Affordable Care Act
To avoid this, the broker or applicant may have to “rig” the system and estimate their 2015 income at some imaginary number to keep them out ... «Redding Record Searchlight, Jul 15»
4
Euler's Identity: 'The Most Beautiful Equation'
... interactions of complex numbers which are numbers composed of two pieces: a real number and an imaginary number; an example is 4+3i. «Live Science, Jul 15»
5
5 worst right-wing moments of the week — Climate deniers clown …
While speaking to anti-abortion activists, Grove put two and two together and came up with 935, or perhaps an imaginary number. If you want to ... «Salon, Jun 15»
6
Tom Yamachika: Smoke and Mirrors Regarding Unfunded Liabilities?
One of the politicians spoke of the unfunded liability dismissively, like it was an imaginary number. Smoke and mirrors. So I thought I would ... «Honolulu Civil Beat, May 15»
7
Lambert on Love and Hate in Geometry
Although hyperbolic geometry doesn't hold on an "imaginary sphere" (assuming he meant a sphere with an imaginary number as a radius), ... «Scientific American, Apr 15»
8
New York Discovers Wall Street Charges Fees
On the one hand, it's a bit harsh to say that managers who outperform the public markets, but underperform an imaginary number, are adding ... «Bloomberg View, Apr 15»
9
Happy Pi Day 2015!
Π is also connected to the imaginary number i, the square root of negative one. The complex numbers (sums of ordinary real numbers and ... «UC Berkeley, Mar 15»
10
The Baffling and Beautiful Wormhole Between Branches of Math
Mathematicians call it an imaginary number. Courage, pilgrim! Here's a visual metaphor. Imagine a graph with real numbers on the horizontal ... «Wired, Nov 14»

REFERENCE
« EDUCALINGO. Imaginary number [online]. Available <https://educalingo.com/en/dic-en/imaginary-number>. Apr 2024 ».
Download the educalingo app
en
English dictionary
Discover all that is hidden in the words on
index
a b c d e f g h i j k l m n o p q r s t u v w x y z