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Complex Conjugate
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Geliefert zwischen Mo., 26.01.2026 und Di., 27.01.2026
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In mathematics, complex conjugates are a pair of complex numbers, both having the same real part, but with imaginary parts of opposite signs.[1][2] For example, 3 + 4i and 3 - 4i are complex conjugates. The conjugate of the complex number z z=a+ib, , where a and b are real numbers, is overline{z} = a - ib., An alternate notation for the complex conjugate is z . However, the bar z notation avoids confusion with the notation for the conjugate transpose of a matrix, which can be thought of as a generalization of complex conjugation. If a complex number is represented as a 2×2 matrix, the notations are identical. For example, overline{(3-2i)} = 3 + 2i overline{7}=7 overline{i} = -i. Complex numbers are often depicted as points in a plane, which is a variation of the Cartesian coordinate system (see diagram). The x-axis contains the real numbers and the y-axis contains the multiples of i. In this view, complex conjugation corresponds to reflection at the x-axis. In polar form, the conjugate of rei is re i . Euler's formula confirms this.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130267841
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Größe H220mm x B150mm x T8mm
- Jahr 2009
- EAN 9786130267841
- Format Fachbuch
- ISBN 978-613-0-26784-1
- Titel Complex Conjugate
- Untertitel Complex conjugate vector space, Mathematics, Complex number, Real number, Imaginary number, Negative and non-negative numbers, Conjugate transpose, Matrix (mathematics), Cartesian coordinate system
- Gewicht 207g
- Herausgeber Alphascript Publishing
- Anzahl Seiten 128
- Genre Mathematik
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