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 such that some coordinate system exists for which
*
Holonomic constraints, which are expressible as a function of the coordinates
and time
*
Holonomic module
In mathematics, a ''D''-module is a module over a ring ''D'' of differential operators. The major interest of such ''D''-modules is as an approach to the theory of linear partial differential equations. Since around 1970, ''D''-module theory has be ...
in the theory of D-modules
*
Holonomic function
In mathematics, and more specifically in analysis, a holonomic function is a smooth function of several variables that is a solution of a system of linear homogeneous differential equations with polynomial coefficients and satisfies a suitable d ...
, a smooth function that is a solution of a linear homogeneous differential equation with polynomial coefficients
Other uses
*
Holonomic brain theory
Holonomic brain theory, also known as The Holographic Brain, is a branch of neuroscience investigating the idea that human consciousness is formed by quantum effects in or between brain cells. Holonomic refers to representations in a Hilbert phas ...
, model of cognitive function as being guided by a matrix of neurological wave interference patterns
See also
*
Holonomy in differential geometry
*
Holon (disambiguation)
Holon is a city on the central coastal strip south of Tel Aviv, Israel.
Holon may also refer to:
* ''Holon'' (Nik Bärtsch album), 2008
* ''Holon'' (Equinox album), 1998
* Holon (philosophy), something that is simultaneously a whole and a par ...
*
Nonholonomic system, in physics, a system whose state depends on the path taken in order to achieve it
References
{{mathematical disambiguation