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 14:15, 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.
In the News
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:
- Imaginary number @ Wikipedia
- Imaginary Numbers Are Real @ YouTube
- Square root of i, explained Bob Ross style @ YouTube