# conjugate

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Related to conjugate: complex conjugate

## conjugate

**1.**

*Maths*

**a.**(of two angles) having a sum of 360°

**b.**(of two complex numbers) differing only in the sign of the imaginary part as 4 + 3i and 4 -- 3i

**c.**(of two algebraic numbers) being roots of the same irreducible algebraic equation with rational coefficients

**d.**(of two elements of a square matrix) interchanged when the rows and columns are interchanged

**e.**(of two arcs) forming a complete circle or other closed curved figure

**2.**

*Chem*of, denoting, or concerning the state of equilibrium in which two liquids can exist as two separate phases that are both solutions. The liquid that is the solute in one phase is the solvent in the other

**3.**

*Chem*(of acids and bases) related by loss or gain of a proton

**4.**

*Physics*

**a.**joined by a reciprocal relationship, such as in the case of two quantities, points, etc., that are interchangeable with respect to the properties of each of them

**b.**(of points connected with a lens) having the property that an object placed at one point will produce an image at the other point

**5.**(of a compound leaf) having one pair of leaflets

Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## conjugate

[′kän·jə·gət] (geology)

Pertaining to fractures in which both sets of veins or joints show the same strike but opposite dip.

Pertaining to any two sets of veins or joints lying perpendicular.

(mathematics)

An element

*y*of a group related to a given element*x*by*y*=*z*^{-1}*xz*or*zy*=*xz*, where*z*is another element of the group. Also known as transform.For a quaternion,

*x*=*x*_{0}+*x*_{1}*i*+*x*_{2}*j*+*x*_{3}*k*, the quaternion x̄ =*x*_{0}-*x*_{1}*i*-*x*_{2}*j*-*x*_{3}*k*.McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

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