Holonomic

Look up holonomic or holonomy in Wiktionary, the free dictionary.

Holonomic (introduced by Heinrich Hertz in 1894 from the Greek ὅλος meaning "whole", "entire" and νόμος meaning "law") may refer to:

• Holonomic basis, a set of basis vector fields {e_k} such that some coordinate system {x^k} exists for which ${\displaystyle e_{k}={\partial \over \partial x^{k}}}$
• Holonomic constraints, which are expressible as a function of the coordinates ${\displaystyle x_{j}\,\!}$ and time ${\displaystyle t\,\!}$
• Holonomic module in the theory of D-modules
• Holonomic function, a smooth function that is a solution of a linear homogeneous differential equation with polynomial coefficients

• Holonomic brain theory, model of cognitive function as being guided by a matrix of neurological wave interference patterns

• Holonomy in differential geometry
• Holon (disambiguation)
• Nonholonomic system, in physics, a system whose state depends on the path taken in order to achieve it

Topics referred to by the same term

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