Word info

stationary point

Noun

Meaning

stationary point (plural stationary points)

(mathematics) A point on a curve where the gradient is zero. This point can be a maximum, a minimum, or a point of inflection.

Source: en.wiktionary.org

Examples

A local (energy) minimum is a stationary point where all such displacements lead to an increase in energy. Source: Internet

A stationary point is a geometry such that the derivative of the energy with respect to all displacements of the nuclei is zero. Source: Internet

If more than one eigenvalue is negative, then the stationary point is a more complex one, and is usually of little interest. Source: Internet

The point (0,0) is a stationary point of the potential flow, with six streamlines meeting, and six equipotentials also meeting and bisecting the angles formed by the streamlines. Source: Internet

If the eigenvalues are all positive, then the frequencies are all real and the stationary point is a local minimum. Source: Internet

For theories obtained by quantization of a classical theory, each stationary point of the energy in the configuration space gives rise to a single vacuum. Source: Internet

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