Definition:Conjugate


 * Group theory: The conjugate of an element or subset $$X$$ of a group $$G$$ by a given element $$a$$ is defined as $$a X a^{-1}$$.
 * Complex analysis: The (complex) conjugate of a complex number $$a + \imath b$$ is $$a - \imath b$$.
 * Geometry: The conjugate of an angle $$\theta$$ is the angle $$2 \pi - \theta$$, that is, the angle that makes a full angle with it.