Holonomic

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

Mathematics

• 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

Other uses

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

See also

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