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- In [[mathematics]], '''complex conjugation''' is an operation on [[complex number]]s which reverses the sign of the im ...pretation|geometrical interpretation]] in terms of the [[Argand diagram]], complex conjugation is represented by [[reflection]] in the x-axis. The complex numbers left f906 bytes (139 words) - 13:16, 20 November 2008
- 144 bytes (19 words) - 12:38, 20 November 2008
- 873 bytes (139 words) - 12:36, 20 November 2008
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- {{rpl|Complex conjugation|With respect to complex numbers|**}}278 bytes (33 words) - 05:59, 26 September 2013
- In [[mathematics]], '''complex conjugation''' is an operation on [[complex number]]s which reverses the sign of the im ...pretation|geometrical interpretation]] in terms of the [[Argand diagram]], complex conjugation is represented by [[reflection]] in the x-axis. The complex numbers left f906 bytes (139 words) - 13:16, 20 November 2008
- #REDIRECT [[Complex conjugation]]33 bytes (3 words) - 12:50, 15 November 2008
- {{r|Complex conjugation}}525 bytes (65 words) - 11:10, 11 January 2010
- where asterisk (*) denotes the [[complex conjugation]].3 KB (424 words) - 14:32, 9 September 2020
- ...d '''C''' of [[complex number]]s has two automorphisms, the identity and [[complex conjugation]].3 KB (418 words) - 12:18, 20 December 2008
- [[complex conjugation]],6 KB (827 words) - 14:44, 19 December 2008
- Typical examples of continuous functions which are not holomorphic are [[complex conjugation]] and taking the [[real part]].9 KB (1,434 words) - 15:35, 7 February 2009
- If ''F'' is a complex quadratic field then this automorphism is induced by [[complex conjugation]].3 KB (453 words) - 17:18, 6 February 2009
- Going a bit further, we can introduce the important operation of '''complex conjugation'''. Given an arbitrary complex number <math>z = x + y\cdot i</math>, we def ...to the representation of complex numbers in rectangular form, we note that complex conjugation is just the transformation (or map) <math>\scriptstyle x + iy \;\mapsto\; x18 KB (3,028 words) - 17:12, 25 August 2013
- ...tiply it out, the product is still <math>x^2 + 1</math>. It turns out that complex conjugation and doing nothing are the two "symmetries" of the complex numbers having th15 KB (2,535 words) - 20:29, 14 February 2010
- Going a bit further, we can introduce the important operation of complex conjugation. Given an arbitrary complex number <math>z = x + iy</math>, we define its c ...to the representation of complex numbers in rectangular form, we note that complex conjugation is just the transformation (or map) <math>x + iy \;\mapsto\; x - iy</math>20 KB (3,304 words) - 17:11, 25 August 2013
- ...s for [[complex conjugation]] followed by transposition. For real matrices complex conjugation does nothing and daggering a real matrix is the same as transposing it.</re12 KB (1,865 words) - 02:49, 19 April 2010
- ...i.e. <math>\mathrm{rk}\, D\cap\bar{D} =\mathrm{const}</math> where ¯ means complex conjugation.13 KB (2,084 words) - 03:51, 7 October 2013
- Here we used that <math>T\,</math> is anti-unitary (hence the complex conjugation after moving11 KB (1,671 words) - 06:37, 1 November 2009
- where the bar indicates [[complex conjugation]] and the definition of the Fourier components is obvious. Note that the su15 KB (2,576 words) - 00:07, 1 December 2010
- ...pansion of Tania at point <math>-2-\pi \mathrm i</math> can be obtained by complex conjugation of expressions (9) and (10).19 KB (2,953 words) - 04:47, 11 October 2013
- ==Complex conjugation== Complex conjugation gives for the functions of positive ''m'' in the second definition34 KB (5,282 words) - 14:21, 1 January 2011
- (taking every element ''x+iy'' of ''C'' to itself) and complex conjugation27 KB (4,383 words) - 08:05, 11 October 2011