Imaginary number (nonfiction): Difference between revisions

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== Fiction cross-reference ==
== Fiction cross-reference ==
* [[Crimes against mathematical constants]]
* [[Gnomon algorithm]]
* [[Gnomon Chronicles]]
* [[Mathematics]]


== Nonfiction cross-reference ==
== Nonfiction cross-reference ==


* [[Mathematics (nonfiction)]]
* [[Mathematics (nonfiction)]]
* [[Imaginary unit (nonfiction)]] - a solution to the quadratic equation x2 + 1 = 0. Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers, using addition and multiplication. A simple example of the use of i in a complex number is 2 + 3i.


External links:
External links:
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* [https://en.wikipedia.org/wiki/Imaginary_number Imaginary number] @ Wikipedia
* [https://en.wikipedia.org/wiki/Imaginary_number Imaginary number] @ Wikipedia
* [https://www.youtube.com/watch?v=T647CGsuOVU Imaginary Numbers Are Real ] @ YouTube
* [https://www.youtube.com/watch?v=T647CGsuOVU Imaginary Numbers Are Real ] @ YouTube
* [https://www.youtube.com/watch?time_continue=1&v=dBbKtOvfTiE Square root of i, explained Bob Ross style] @ YouTube


[[Category:Nonfiction (nonfiction)]]
[[Category:Nonfiction (nonfiction)]]
[[Category:Mathematics (nonfiction)]]
[[Category:Mathematics (nonfiction)]]

Latest revision as of 15:15, 19 February 2019

In mathematics, an imaginary number is a complex number that can be written as 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. Zero is considered to be both real and imaginary.

Originally coined in the 17th century as a derogatory term and regarded as fictitious or useless, the concept gained wide acceptance following the work of Leonhard Euler and Carl Friedrich Gauss.

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Fiction cross-reference

Nonfiction cross-reference

  • Mathematics (nonfiction)
  • Imaginary unit (nonfiction) - a solution to the quadratic equation x2 + 1 = 0. Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers, using addition and multiplication. A simple example of the use of i in a complex number is 2 + 3i.

External links: