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imaginary part

American  

noun

Mathematics.
  1. the coefficient b in the complex number a + bi.


imaginary part British  

noun

  1. the coefficient b in a complex number a + i b , where i = √–1

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Etymology

Origin of imaginary part

First recorded in 1925–30

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

See Examples For:

In the mathematical description of a quantum state, the real part represents the amplitude, while the imaginary part represents the phase.

From Science Daily Jul. 13, 2026

Phoenix was imaginary, part of a 2009 government preparation exercise for a killer hurricane dubbed Project Phoenix — an exercise updated in 2020 focusing on small business recovery.

From Seattle Times Sep. 27, 2022

We call a the real part and b the imaginary part.

From Textbooks May 6, 2020

A complex number is expressed in standard form when written where is the real part and is the imaginary part.

From Textbooks Feb. 13, 2015

The horizontal axis represents the real part of the complex number, while the vertical axis represents the imaginary part.

From "Zero: The Biography of a Dangerous Idea" by Charles Seife

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