harmonic conjugates

[här′män·ik ′kän·jə·gəts] (mathematics) Two points, P₃ and P₄, that are collinear with two given points, P₁ and P₂, such that P₃ lies in the line segment P₁ P₂ while P₄ lies outside it, and, if x₁, x₂, x₃, and x₄ are the abscissas of the points, (x₃-x₁)/ (x₃-x₂) = - (x₄-x₁)/(x₄-x₂). A pair of harmonic functions, u and v, such that u + iv is an analytic function, or, equivalently, u and v satisfy the Cauchy-Riemann equations.

单词	harmonic conjugates
释义	harmonic conjugates harmonic conjugates [här′män·ik ′kän·jə·gəts] (mathematics) Two points, P₃ and P₄, that are collinear with two given points, P₁ and P₂, such that P₃ lies in the line segment P₁ P₂ while P₄ lies outside it, and, if x₁, x₂, x₃, and x₄ are the abscissas of the points, (x₃-x₁)/ (x₃-x₂) = - (x₄-x₁)/(x₄-x₂). A pair of harmonic functions, u and v, such that u + iv is an analytic function, or, equivalently, u and v satisfy the Cauchy-Riemann equations.
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