Holonomic

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

Mathematics[edit]

  • Holonomic basis, a set of basis vector fields {ek} such that some coordinate system {xk} exists for which e_k = {\partial \over \partial x^k}
  • Holonomic constraints, which are expressible as a function of the coordinates x_j\,\! and time 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[edit]

  • Holonomic (robotics), a robot (or object) that has mechanisms to control all 6 physical degrees of freedom
  • Holonomic brain theory, model of cognitive function as being guided by a matrix of neurological wave interference patterns

See also[edit]