Definition:Conjugate
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Conjugate may refer to:
- Geometry: The conjugate of an angle $\theta$ is the angle $2 \pi - \theta$, that is, the angle that makes a full angle with it.
- Group theory: The conjugate of an element or subset $X$ of a group $G$ by a given element $a$ is defined as $a X a^{-1}$.
- Number theory: The conjugate of the quadratic irrational $r + s \sqrt n$ is $r - s \sqrt n$.
- Complex analysis: The (complex) conjugate of a complex number $a + i b$ is $a - i b$.
- Quaternions: The conjugate quaternion of a quaternion $a \mathbf 1 + b \mathbf i + c \mathbf j + d \mathbf k$ is $a \mathbf 1 - b \mathbf i - c \mathbf j - d \mathbf k$.
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