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Meaning of "imaginary part" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF IMAGINARY PART

imaginary part play
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GRAMMATICAL CATEGORY OF IMAGINARY PART

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Imaginary part 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 PART MEAN IN ENGLISH?

Complex number

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, which satisfies the equation i2 = −1. In this expression, a is the real part and b is the imaginary part of the complex number. Complex numbers extend the concept of the one-dimensional number line to the two-dimensional complex plane by using the horizontal axis for the real part and the vertical axis for the imaginary part. The complex number a + bi can be identified with the point in the complex plane. A complex number whose real part is zero is said to be purely imaginary, whereas a complex number whose imaginary part is zero is a real number. In this way, the complex numbers contain the ordinary real numbers while extending them in order to solve problems that cannot be solved with real numbers alone. As well as their use within mathematics, complex numbers have practical applications in many fields, including physics, chemistry, biology, economics, electrical engineering, and statistics.

Definition of imaginary part in the English dictionary

The definition of imaginary part in the dictionary is the coefficient b in a complex number a + i b, where i = √–1.

WORDS THAT BEGIN LIKE IMAGINARY PART

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

WORDS THAT END LIKE IMAGINARY PART

apart
bit part
body part
car part
character part
for one´s part
for the most part
in part
moving part
name part
play a part
real part
replacement part
spare part
speaking part
star part
take in good part
take someone´s part
voice part
walk-on part

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

SYNONYMS

Translation of «imaginary part» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF IMAGINARY PART

Find out the translation of imaginary part to 25 languages with our English multilingual translator.
The translations of imaginary part 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 part» in English.

Translator English - Chinese

虚部
1,325 millions of speakers

Translator English - Spanish

parte imaginaria
570 millions of speakers

English

imaginary part
510 millions of speakers

Translator English - Hindi

काल्पनिक हिस्सा
380 millions of speakers
ar

Translator English - Arabic

الجزء التخيلي
280 millions of speakers

Translator English - Russian

мнимая часть
278 millions of speakers

Translator English - Portuguese

parte imaginária
270 millions of speakers

Translator English - Bengali

কাল্পনিক অংশ
260 millions of speakers

Translator English - French

partie imaginaire
220 millions of speakers

Translator English - Malay

Bahagian khayalan
190 millions of speakers

Translator English - German

imaginären Teil
180 millions of speakers

Translator English - Japanese

虚部
130 millions of speakers

Translator English - Korean

허수 부
85 millions of speakers

Translator English - Javanese

Bagean imajiner
85 millions of speakers
vi

Translator English - Vietnamese

phần ảo
80 millions of speakers

Translator English - Tamil

கற்பனை பகுதி
75 millions of speakers

Translator English - Marathi

काल्पनिक भाग
75 millions of speakers

Translator English - Turkish

Hayali kısım
70 millions of speakers

Translator English - Italian

parte immaginaria
65 millions of speakers

Translator English - Polish

część urojona
50 millions of speakers

Translator English - Ukrainian

уявна частина
40 millions of speakers

Translator English - Romanian

parte imaginar
30 millions of speakers
el

Translator English - Greek

φανταστικό μέρος
15 millions of speakers
af

Translator English - Afrikaans

denkbeeldige deel
14 millions of speakers
sv

Translator English - Swedish

imaginära delen
10 millions of speakers
no

Translator English - Norwegian

imaginære delen
5 millions of speakers

Trends of use of imaginary part

TRENDS

TENDENCIES OF USE OF THE TERM «IMAGINARY PART»

The term «imaginary part» is quite widely used and occupies the 45.840 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Quite widely used
79
/100
The map shown above gives the frequency of use of the term «imaginary part» in the different countries.
Principal search tendencies and common uses of imaginary part
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «imaginary part».

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

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «IMAGINARY PART»

Discover the use of imaginary part in the following bibliographical selection. Books relating to imaginary part and brief extracts from same to provide context of its use in English literature.
1
Electromagnetics
A lossy medium requires (4.149) to be positive. This occurs when £'' < 0 or £c < 0, meaning that the imaginary part of the permeability or complex permittivity is negative. The complex permittivity has a negative imaginary part if the imaginary  ...
Edward J. Rothwell, Michael J. Cloud, 2001
2
Basic Introduction to Bioelectromagnetics, Second Edition
In equations containing complex numbers, the real part of the left-hand side must be equal to the real part of the right-hand side, and the imaginary part on the left- hand side must be equal to the imaginary part on the right-hand side. In light of ...
Cynthia Furse, Douglas A. Christensen, Carl H. Durney, 2009
3
College Trigonometry
... a radical sign, as we did for to avoid confusing with ai. ai i 23, i Definition of a Complex Number A complex number is a number of the form where and are real numbers and The number is the real part of and is the imaginary part. b a bi, a i 1.
Richard Aufmann, Vernon C. Barker, Richard Nation, 2007
4
One-Dimensional Nanostructures
7.1 Silver permittivity and relative error on both real and imaginary part using the Drude model. (a) Crosses and circles respectively depict the real and imaginary part of the permittivity tabulated in [27]. The dashed and solid lines respectively ...
Zhiming M Wang, 2008
5
Mathematical Approaches in Hydrodynamics
The imaginary part of the eigenvalue (dashed curve) is associated with a periodic oscillation of the solution which will grow with time at a rate given by the real part (solid curve). For ft < fio, all of the eigenvalues have a positive real part, and ...
Touvia Miloh, 1991
6
Digital Signal Processing: A Practical Guide for Engineers ...
In this case, we need a positive and negative frequency from the imaginary part of the frequency spectrum. This is shown by the round markers in Fig. 31-1. From Eq. 31-8, these spectral values contribute a sine wave and an imaginary cosine ...
Steven W. Smith, 2003
7
Vibration: Fundamentals and Practice, Second Edition
Hence, either the real part or the imaginary part (which is perpendicular to the real part on the complex plane) can be considered the actual excitation. The resulting "complex" particular solution is xp = X(;»)e^ (3.26) where X(/o>) is a complex ...
Clarence W. de Silva, 2006
8
The Mathematics Dictionary
A term used to provide continuity in speaking of loci of equations, the imaginary part of the curve (surface) corresponding to imaginary values of the variable which satisfy the equation. The equation x2 + y2 + z2 = 1 has for its real locus the  ...
R.C. James, 1992
9
Strings and Gravity: Tying the Forces Together
The analytic continuation into the complex Xp plane is given by taking a branch cut along the negative axis for \p < -17/4. p has positive imaginary part just above the cut and negative imaginary part just below the cut. Note that Re(p) > -3/2.
Marc Henneaux, Alexandre Sevrin, 2003
10
Principles of Vibration and Sound
The graph of imaginary part versus the real part in Fig. 1.13(c) is sometimes called a Nyquist plot. Fig. 1.13. Real and imaginary parts of the mechanical impedance and admittance for a harmonic oscillator of the same type as in Fig. 1.12: (a) ...
Thomas D. Rossing, Neville H. Fletcher, 2004

10 NEWS ITEMS WHICH INCLUDE THE TERM «IMAGINARY PART»

Find out what the national and international press are talking about and how the term imaginary part is used in the context of the following news items.
1
Unraveling how electronic and spin structures control macroscopic …
... The inset is the imaginary part of the dielectric function ε2(ω) from 0.55 to 2 eV as a function of temperature. The different color arrows point to ... «Nature.com, Jul 15»
2
Special Relativity and the Road Not Taken
3. the imaginary part equals unity (technically, 2 f |G| is the same for ... which you call real part and imaginary part, are they independent of ... «Science 2.0, Jun 15»
3
Complete temporal characterization of a single photon
However, this method does not yield any information about the imaginary part of the photon's temporal density matrix (TDM). In this paper we ... «Nature.com, Jun 15»
4
Quantum Simulation of Dissipative Processes without Reservoir …
Moreover, the same quantum algorithm allows us to measure single-shots of the real and imaginary part of these quantities providing, therefore ... «Nature.com, May 15»
5
Quantum Tunneling Found to be Instantaneous
The math apparently works out so that the time it takes to tunnel across a barrier is a complex value, with an imaginary part, so the tunneling ... «Overclockers Club, May 15»
6
Steampunk World's Fair celebrates art and innovation
"That's actually both something we do in the imaginary part of steampunk, where most imaginary steampunk items come from this background ... «Asbury Park Press, May 15»
7
Understanding the structural and optical properties of silicon nitride
The imaginary part ε2(ω) is given in equation (3), and the real part ε1(ω) can be derived from the imaginary part employing the Kramer- Kronig ... «ElectroIQ, May 15»
8
To Live is to Ad-Lib: Collab/Space Austin Participants Get Lessons …
“The idea is to help you visualize stuff in order to get the creative, imaginary part of your brain going,” Boyle said. “It gets your brain in not only a ... «PBS MediaShift, Apr 15»
9
Bones Recap - Cyndi Lauper is Back as Avalon! Season 10 Episode …
Christine asks if that's the book to read to Buddy. Bones explains that's her imaginary friend but Avalon questions the imaginary part and says ... «Celebrity Dirty Laundry, Mar 15»
10
Near-field transducers for next-generation hard-drive technology
Classical electromagnetics suggests that this scales linearly with both the imaginary part of the permittivity Im(ε), and the field intensity |E|2. «nanotechweb.org, Mar 15»

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