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Meaning of "complex conjugate" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF COMPLEX CONJUGATE

complex conjugate play
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GRAMMATICAL CATEGORY OF COMPLEX CONJUGATE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Complex conjugate 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 COMPLEX CONJUGATE MEAN IN ENGLISH?

Complex conjugate

In mathematics, complex conjugates are a pair of complex numbers, both the same except with imaginary parts of opposite signs. For example, 3 + 4i and 3 − 4i are complex conjugates. The conjugate of the complex number , where and are real numbers, is For example, An alternative notation for the complex conjugate is. However, the notation avoids confusion with the notation for the conjugate transpose of a matrix, which can be thought of as a generalization of complex conjugation. The star-notation is preferred in physics, where dagger is used for the conjugate transpose, while the bar-notation is more common in pure mathematics. If a complex number is represented as a 2×2 matrix, the notations are identical. Complex numbers are considered points in the complex plane, a variation of the Cartesian coordinate system where both axes are real number lines that cross at the origin, however, the y-axis is a product of real numbers multiplied by. On the illustration, the x-axis is called the real axis, labeled Re, while the y-axis is called the imaginary axis, labeled Im.

Definition of complex conjugate in the English dictionary

The definition of complex conjugate in the dictionary is the complex number whose imaginary part is the negative of that of a given complex number, the real parts of both numbers being equal.

WORDS THAT BEGIN LIKE COMPLEX CONJUGATE

complex
complex fraction
complex number
complex pendulum
complex salt
complex sentence
complex wave
complexation
complexedness
complexify
complexion
complexional
complexioned
complexionless
complexities
complexity
complexity theory
complexly
complexness
complexometric titration

WORDS THAT END LIKE COMPLEX CONJUGATE

aggregate
AND gate
assubjugate
bijugate
conjugate
corrugate
delegate
exclusive OR gate
gate
Hermitian conjugate
in the aggregate
investigate
jugate
multijugate
navigate
rugate
subjugate
tailgate
trijugate
unijugate

Synonyms and antonyms of complex conjugate in the English dictionary of synonyms

SYNONYMS

Translation of «complex conjugate» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF COMPLEX CONJUGATE

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

Translator English - Chinese

复共轭
1,325 millions of speakers

Translator English - Spanish

complejo conjugado
570 millions of speakers

English

complex conjugate
510 millions of speakers

Translator English - Hindi

जटिल संयुग्म
380 millions of speakers
ar

Translator English - Arabic

المكورات معقدة
280 millions of speakers

Translator English - Russian

комплексно сопряженное
278 millions of speakers

Translator English - Portuguese

conjugado complexo
270 millions of speakers

Translator English - Bengali

জটিল অনুবন্ধী
260 millions of speakers

Translator English - French

conjugué complexe
220 millions of speakers

Translator English - Malay

Conjugate kompleks
190 millions of speakers

Translator English - German

konjugiert komplexe
180 millions of speakers

Translator English - Japanese

複素共役
130 millions of speakers

Translator English - Korean

복소수
85 millions of speakers

Translator English - Javanese

Conjugate komplèks
85 millions of speakers
vi

Translator English - Vietnamese

liên hợp phức tạp
80 millions of speakers

Translator English - Tamil

சிக்கலான இணைவு
75 millions of speakers

Translator English - Marathi

जटिल संयुगे
75 millions of speakers

Translator English - Turkish

Karmaşık eşlenik
70 millions of speakers

Translator English - Italian

coniugato complesso
65 millions of speakers

Translator English - Polish

sprzężona
50 millions of speakers

Translator English - Ukrainian

комплексно поєднане
40 millions of speakers

Translator English - Romanian

conjugat complex
30 millions of speakers
el

Translator English - Greek

σύμπλοκο
15 millions of speakers
af

Translator English - Afrikaans

komplekse toegevoegde
14 millions of speakers
sv

Translator English - Swedish

komplexa konjugatet
10 millions of speakers
no

Translator English - Norwegian

komplekse konjugerte
5 millions of speakers

Trends of use of complex conjugate

TRENDS

TENDENCIES OF USE OF THE TERM «COMPLEX CONJUGATE»

The term «complex conjugate» is regularly used and occupies the 75.331 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
65
/100
The map shown above gives the frequency of use of the term «complex conjugate» in the different countries.
Principal search tendencies and common uses of complex conjugate
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «complex conjugate».

FREQUENCY OF USE OF THE TERM «COMPLEX CONJUGATE» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «COMPLEX CONJUGATE»

Discover the use of complex conjugate in the following bibliographical selection. Books relating to complex conjugate and brief extracts from same to provide context of its use in English literature.
1
A Guide to Complex Variables
The complex number x — iy is by definition the complex conjugate of the complex number x + iy. If z = x + iy, then we denote the conjugate of z with the symbol z; thus z = x — iy. The complex conjugate is of interest because if p is a quadratic ...
Steven G. Krantz, 2008
2
Isotropy Subgroups of the 230 Crystallographic Space Groups
If an irreducible representation is complex and is not equivalent to any real irreducible representation, we form the physically irreducible representation from the direct sum of the irreducible representation and its complex conjugate. This forms ...
Harold T. Stokes, Dorian M. Hatch, 1988
3
Fundamental Concepts in Electrical and Computer Engineering ...
Before we jump into basic mathematical operations, however, we must look at one special relationship, the complex conjugate. 2.3.1 The Complex Conjugate In the field of complex numbers, there exists a special relationship that sometimes ...
Reza Adhami, Peter M. Meenen, Denis Hite, 2007
4
Smooth Four-Manifolds and Complex Surfaces
We can then view BL as a complex conjugate linear operator dL:n°(C,L)->n°(C,L) . Theorem 3.1. Let C be an oriented 2-manifold with a Riemannian metric g. Thus there is a unique complex structure on C compatible with g and the orientation.
Robert Friedman, John W. Morgan, 1994
5
Applying Maths in the Chemical and Biomolecular Sciences: An ...
Dividing by a complex number has the additional step that the top and bottom of the expression are first multiplied by the complex conjugate of the denominator. This is explained below. Although i is a complex number, i2 = −1 and is a real ...
Godfrey Beddard, 2009
6
CRC Concise Encyclopedia of Mathematics, Second Edition
Complex Addition Complex Conjugate 489 Complex Addition Two COMPLEX NUMBERS z = x. + iy and z' = x' + iy' are added together componentwise, In component form, (x, y) + (x', y') = (*+*', y +y') (Krantz 1999, p. 1). See also COMPLEX ...
Eric W. Weisstein, 2002
7
Principles of Power Engineering Analysis
E.11 Complex Conjugate of a Matrix When the elements of a matrix are complex ( i.e,. having real and imaginary components), the conjugate of the matrix is the matrix obtained by replacing each element of the original matrix by its complex ...
Robert C. Degeneff, M. Harry Hesse, 2011
8
Mathematical Objects in C++: Computational Tools in A ...
Computational Tools in A Unified Object-Oriented Approach Yair Shapira. Note that if c happens to be a real number (b = 0), then it remains unchanged under the complex-conjugate operation: Thus, the complex-conjugate operator is reduced ...
Yair Shapira, 2009
9
Encyclopedia of Optical Engineering
complex conjugate, usually denoted by: z* = (x + iy)* = x — iv ; the complex conjugate changes the sign of the imaginary part. The absolute value of a complex number is usefully written in terms of the conjugate as the real number z\ = \/z- z* so ...
Ronald G. Driggers, 2003
10
Mathematical Foundations of Supersymmetry
In the super context it is not possible to speak directly of antiholomorphic functions and for this reason we need the following generalization of complex conjugate super manifold. Definition 4.8.2. Let M = (IM |, (9M) be a complex super manifold.
Claudio Carmeli, Lauren Caston, Rita Fioresi, 2011

10 NEWS ITEMS WHICH INCLUDE THE TERM «COMPLEX CONJUGATE»

Find out what the national and international press are talking about and how the term complex conjugate is used in the context of the following news items.
1
Why Nobody Likes Atheists
If you multiply the wave by its complex conjugate, you get a function with a positive value over that region called the probability density. «PJ Media, Jun 15»
2
San E Uses Clever Rap Song To Teach Math To Kids
"Yo, you know the complex conjugate? Multiply. Right?," is what San E said, as reported by Koreaboo. Rapping EXID's hit single titled, "Up ... «KpopStarz, May 15»
3
Explaining to an idiot (me) about mathematics concerning ocean …
where is the complex conjugate of . I think since your Y coordinate in the color vec3 seems to be the "imaginary" component of the complex ... «GameDev.net, Mar 15»
4
Scientists find way to maintain quantum entanglement in amplified …
In fact, since the amplitude is expressed as a complex number, it is necessary to multiply the numberby a complex conjugate. This detail was ... «Phys.Org, Jul 14»
5
Maximizing the efficiency and affordability of high-performance radar
H: Vector complex conjugate transposition. Ccf(θAAM): Front clutter covariance matrix. AAM: Antenna array misalignment angle. RW: Range ... «SPIE Newsroom, Jul 14»
6
What is Quantum Mechanical Spin?
The probability of spin 1 being x and spin 2 being y, where x and y are spin up or down along the z-axis, is the complex conjugate of |Ψ>, ... «YouTube, Jun 13»
7
Windows 8: Hands on with the final build
But hey, I wouldn't expect a pleb like you to understand the finer intricacies of the complex conjugate hues of red and blue. Angel Colon. «ExtremeTech, Aug 12»
8
Viewpoint: Negative Frequencies Get Real
Nevertheless, since in the electric field every wave comes together with its complex conjugate, at the end, the negative frequency mode ... «Physics, Jun 12»
9
Guest Post: Carl Brannen On CP Violation
And the complex number for the u-quark to d-quark is the complex conjugate of the complex number for the d-quark to u-quark. So when we ... «Science 2.0, Feb 12»
10
Overcoming Challenges in Conjugate Vaccines
... pathogens such as S. aureus and Shigella species and to simplify and improve the efficiency of developing complex conjugate vaccines. «Drug Discovery & Development, Dec 11»

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