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complex conjugate

British

noun

maths the complex number whose imaginary part is the negative of that of a given complex number, the real parts of both numbers being equal

a –ib is the complex conjugate of a +ib

"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

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.

We will multiply a complex conjugate pair in the next example.

From Textbooks • May 6, 2020

We can multiply a complex conjugate pair using this pattern.

From Textbooks • May 6, 2020

The form of the general solution varies, depending on whether the characteristic equation has distinct, real roots; a single, repeated real root; or complex conjugate roots.

From Textbooks • Mar. 30, 2016

To divide complex numbers, multiply both numerator and denominator by the complex conjugate of the denominator to eliminate the complex number from the denominator.

From Textbooks • Feb. 13, 2015

We first write the division as a fraction, then find the complex conjugate of the denominator, and multiply.

From Textbooks • Feb. 13, 2015

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023