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 {e_k} such that some coordinate system {x^k} exists for which $e_{k}={\partial \over \partial x^{k}}$$e_{k}={\partial \over \partial x^{k}}$
• Holonomic constraints, which are expressible as a function of the coordinates $x_{j}\,\!$$x_j\,\!$ and time $t\,\!$$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

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