Definitions for imaginary number
imag·i·na·ry 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. imaginary numbernoun

   A number of the form ai, where a is a real number and i the imaginary unit

WikipediaRate this definition:0.0 / 0 votes

1. Imaginary number

   An imaginary number is 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. By definition, zero is considered to be both real and imaginary.Originally coined in the 17th century by René Descartes as a derogatory term and regarded as fictitious or useless, the concept gained wide acceptance following the work of Leonhard Euler (in the 18th century) and Augustin-Louis Cauchy and Carl Friedrich Gauss (in the early 19th century). 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.

ChatGPTRate this definition:0.0 / 0 votes

1. imaginary number

   An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit denoted as 'i', which is defined by its property i squared equals -1. The term "imaginary" is used because such numbers are not "real" in the sense that they cannot be plotted on the standard number line or exist on the real number spectrum. They are primarily used in mathematics for complex calculations.

WikidataRate this definition:0.0 / 0 votes

1. Imaginary number

   An imaginary number is a number that can be written as a real number multiplied by the imaginary unit, which is defined by its property . An imaginary number has a negative or zero square. For example, is an imaginary number, and its square is . An imaginary number can be added to a real number to form a complex number of the form, where and 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, but today they have a variety of essential, concrete applications in science and engineering.

Matched Categories

1. • Mathematics
   • Number

How to pronounce imaginary number?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

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   Veena

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   Priya

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   Neerja

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   Zira

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   Oliver

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   Wendy

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   Fred

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   Tessa

   South African

How to say imaginary number in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of imaginary number in Chaldean Numerology is: 7

2. Pythagorean Numerology

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

References

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