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The Collaborative International Dictionary
potential function

Potential \Po*ten"tial\, n.

  1. Anything that may be possible; a possibility; potentially.
    --Bacon.

  2. (Math.) In the theory of gravitation, or of other forces acting in space, a function of the rectangular coordinates which determine the position of a point, such that its differential coefficients with respect to the co["o]rdinates are equal to the components of the force at the point considered; -- also called potential function, or force function. It is called also Newtonian potential when the force is directed to a fixed center and is inversely as the square of the distance from the center.

  3. (Elec.) The energy of an electrical charge measured by its power to do work; hence, the degree of electrification as referred to some standard, as that of the earth; electro-motive force.

Wikipedia
Potential function

The term potential function may refer to:

  • A mathematical function whose values are a physical potential
  • The class of functions known as harmonic functions, which are the topic of study in potential theory
  • The potential function of a potential game
  • In the potential method of amortized analysis, a function describing an investment of resources by past operations that can be used by future operations