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<sub>k</sub>} such that some coordinate system {x<sup>k</sup>} exists for which <math>e_k = {\partial \over \partial x^k}</math>
  • Holonomic constraints, which are expressible as a function of the coordinates <math>x_j\,\!</math> and time <math>t\,\!</math>
  • 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