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Meaning of "complex number" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF COMPLEX NUMBER

complex number play
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GRAMMATICAL CATEGORY OF COMPLEX NUMBER

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Complex 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 COMPLEX NUMBER 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.

WORDS THAT BEGIN LIKE COMPLEX NUMBER

complex
complex conjugate
complex fraction
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 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 complex number in the English dictionary of synonyms

SYNONYMS

Translation of «complex number» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF COMPLEX NUMBER

Find out the translation of complex number to 25 languages with our English multilingual translator.
The translations of complex 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 «complex number» in English.

Translator English - Chinese

复数
1,325 millions of speakers

Translator English - Spanish

número complejo
570 millions of speakers

English

complex number
510 millions of speakers

Translator English - Hindi

जटिल संख्या
380 millions of speakers
ar

Translator English - Arabic

العدد المركب
280 millions of speakers

Translator English - Russian

комплексное число
278 millions of speakers

Translator English - Portuguese

número complexo
270 millions of speakers

Translator English - Bengali

জটিল সংখ্যা
260 millions of speakers

Translator English - French

nombre complexe
220 millions of speakers

Translator English - Malay

Nombor kompleks
190 millions of speakers

Translator English - German

komplexe Zahl
180 millions of speakers

Translator English - Japanese

複素数
130 millions of speakers

Translator English - Korean

복소수
85 millions of speakers

Translator English - Javanese

Nomer kompleks
85 millions of speakers
vi

Translator English - Vietnamese

số phức
80 millions of speakers

Translator English - Tamil

சிக்கலான எண்
75 millions of speakers

Translator English - Marathi

जटिल संख्या
75 millions of speakers

Translator English - Turkish

karmaşık sayı
70 millions of speakers

Translator English - Italian

numero complesso
65 millions of speakers

Translator English - Polish

liczba zespolona
50 millions of speakers

Translator English - Ukrainian

комплексне число
40 millions of speakers

Translator English - Romanian

număr complex
30 millions of speakers
el

Translator English - Greek

μιγαδικό αριθμό
15 millions of speakers
af

Translator English - Afrikaans

komplekse getal
14 millions of speakers
sv

Translator English - Swedish

komplext tal
10 millions of speakers
no

Translator English - Norwegian

komplekse tallet
5 millions of speakers

Trends of use of complex number

TRENDS

TENDENCIES OF USE OF THE TERM «COMPLEX NUMBER»

The term «complex number» is regularly used and occupies the 100.270 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
53
/100
The map shown above gives the frequency of use of the term «complex number» in the different countries.
Principal search tendencies and common uses of complex number
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «complex number».

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

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «COMPLEX NUMBER»

Discover the use of complex number in the following bibliographical selection. Books relating to complex number and brief extracts from same to provide context of its use in English literature.
1
Complex Analysis for Mathematics and Engineering
(P4) Additive inverses: For any complex number z, there is a unique complex number η (depending on z) with the property that z+η = (0, 0). Obviously, if z = (x, y) = x + iy, the number η will be (−x, −y) = −x − iy = −z. (P5) Commutative law for ...
John Mathews, Russell Howell, 2012
2
A First Course in Complex Analysis with Applications
A complex number 2 : so + iy is uniquely determined by an ordered pair of real numbers (so, The first and second entries of the ordered pairs correspond, in turn , with the real and imaginary parts of the complex number. For example, the ...
Dennis G. Zill, Patrick D. Shanahan, 2011
3
Complex Numbers and Vectors
Complex Numbers and Vectors When we multiply a complex number by a real number, or scalar, the new complex number will shift either towards or away from the origin along the line that has the origin and the original complex number as ...
Les Evans, 2006
4
Complex Variables with Applications
The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables.
Saminathan Ponnusamy, Herb Silverman, 2007
5
Optimisation and Stability Theory for Economic Analysis
Whilst the real number system is a subset of the complex number system, the former has an important property that the latter in general does not possess. We can order real numbers but in general we are unable to order complex numbers.
Brian Beavis, 1990
6
LibreOffice 4.1 Calc Guide: Working With Spreadsheets
Syntax Description IMLOG2(Complex number) Returns the binary logarithm of the entered Complex number. The complex number is entered in the form "x + yi" or "x + yj". IMPOWER(Complex number, Number) Returns the entered Complex ...
John A Smith, Andrew Pitonyak, Barbara Duprey, 2013
7
Function Theory of One Complex Variable
Likewise y is called the imaginary part of z and is written y = Imz. The complex number x — iy is by definition the conjugate of the complex number x + iy. We denote the conjugate of a complex number z by the symbol z. So if z = x + iy, then z ...
Robert Everist Greene, Steven George Krantz, 2006
8
Complex Analysis
Modulus Of A Complex Number. If z = x + iy is any complex number then the non- negative real number V(jc2 + V2) is called the modulus of the complex number z and is denoted by \ z |. Thus if z = x + iyy then |z| i.e., modulus of z = V(jt2 + y2).
9
Complex Analysis
In the real number system we say x is greater than y, written x>y, if and only if x − y is in P. Discuss why the complex number system has no such subset P. [Hint: Consider i and −i.] Computer Lab Assignments In Problems 56–59, use a CAS∗  ...
Dennis G. Zill, Patrick D. Shanahan, 2013
10
Engineering Mathematics Semester - Iii (complex Function)
Complex Variable INTRODUCTION OF COMPLEX NUMBERS Definition : A number of the from x + iy, where 1 + j(-l) and x, y are both real numbers, is called a complex number. A complex number is also defined as on ordered pair (x, y) of  ...
A.s. Sharma, 2009

10 NEWS ITEMS WHICH INCLUDE THE TERM «COMPLEX NUMBER»

Find out what the national and international press are talking about and how the term complex number is used in the context of the following news items.
1
Securing business critical infrastructure via trusted technology and...
It's really a result of a collaborative effort, very complex number of systems coming together. Not only are standards necessary, but cooperation ... «IT-Director.com, Jul 15»
2
Euler's Identity: 'The Most Beautiful Equation'
Each house-shape complex number is multiplied by the complex number 4+3i and re-plotted (green arrow). [Related: What Are Complex ... «Live Science, Jul 15»
3
Manly Council revealed as slowest council to give DAs tick of …
“We have processed more applications of a complex number and less tree DAs. In addition we have had an area restructure,” he said. «The Daily Telegraph, Jun 15»
4
5 iPhone 6 Tricks You Should Know
But on the 'Settings' panel, under the 'General' section you should change your passcode to a longer and more complex number sequence. 4. «Phones Review, Jun 15»
5
Junior Cert geography and maths 1: Rocks and a hard place
The ordinary level paper, taken by around one in three students, was described as fair overall, with the exception of a complex number ... «Irish Times, Jun 15»
6
Boys and Girls Clubs of Collin County owns complex now
... of America · Wikipedia: Boys & Girls Clubs of America · Wikipedia: After-school activity · Wikipedia: Complex number · Wikipedia: Mayor. «Star Local Media, May 15»
7
Changing contours of market research
So while at one end of the scale lower-value activities such as field data gathering are being taken up, at the other end, complex number ... «Economic Times, May 15»
8
Impulse Helps Xilinx SDAccel Users Accelerate Their Software …
The OpenCL implementation creates an image by applying the Mandelbrot equation to the complex number represented by each pixel and ... «Business Wire, May 15»
9
Disaster Declaration Issued for Hidalgo County
"We got some public damages to our roadways. We got personal property to our taxpayers' dwellings. There's a complex number of damages, ... «KRGV, May 15»
10
One Concept That Gives Physicists A Casper-Like Haunting
What is this strange mathematical object which, when multiplied by itself (with some complex number stuff happening, too), gives you the ... «WESM, May 15»

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