Definitions for complex number
com·plex num·ber

Princeton's WordNetRate this definition:0.0 / 0 votes

1. complex number, complex quantity, imaginary number, imaginarynoun

   (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1

WiktionaryRate this definition:0.0 / 0 votes

1. complex numbernoun

   A number of the form a + bi, where a and b are real numbers and i denotes the imaginary unit

WikipediaRate this definition:0.0 / 0 votes

1. 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 a solution of the equation x2 = −1. Because no real number satisfies this equation, i is called an imaginary number. For the complex number a + bi, a is called the real part, and b is called the imaginary part. Despite the historical nomenclature "imaginary", complex numbers are regarded in the mathematical sciences as just as "real" as the real numbers, and are fundamental in many aspects of the scientific description of the natural world.Complex numbers allow solutions to certain equations that have no solutions in real numbers. For example, the equation ( x + 1 ) 2 = − 9 {\displaystyle (x+1)^{2}=-9} has no real solution, since the square of a real number cannot be negative.

ChatGPTRate this definition:0.0 / 0 votes

1. complex number

   A complex number is a number in the form of a + bi, where 'a' and 'b' are real numbers and 'i' is an imaginary unit with the property that i² = -1. In the complex number, 'a' is referred to as the real part and 'b' is known as the imaginary part. Complex numbers are used in various mathematical computations especially in the field of engineering, physics, and computer science.

WikidataRate this definition:0.0 / 0 votes

1. 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, where i² = −1. In this expression, a is the real part and b is the imaginary part of the complex number. Complex numbers extend the idea 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. The Italian mathematician Gerolamo Cardano is the first known to have introduced complex numbers. He called them "fictitious" during his attempts to find solutions to cubic equations in the 16th century, but complex numbers are no more or less "fictitious" or "imaginary" than any other kind of number.

Matched Categories

1. • Mathematics
   • Number

How to pronounce complex number?

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How to say complex number in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of complex number in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of complex number in Pythagorean Numerology is: 8

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=complex number
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Complex_Number
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Complex_Number
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=complex number