# Holonomic

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

## Mathematics

• Holonomic basis, a set of basis vector fields {ek} such that some coordinate system {xk} 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 in several variables that is a solution of a system of linear homogeneous differential equations with polynomial coefficients

## Other uses

• Holonomic (robotics), when controllable degrees of freedom are equal to the total degrees of freedom.
• Holonomic brain theory, model of cognitive function as being guided by a matrix of neurological wave interference patterns