Look up holonomic or holonomy in Wiktionary, the free dictionary. Holonomic (introduced by Heinrich Hertz in 1894 from the Greek ὅλος meaning "whole"...
In classical mechanics, holonomic constraints are relations between the position variables (and possibly time) that can be expressed in the following...
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...
Holonomic brain theory is a branch of neuroscience investigating the idea that human consciousness is formed by quantum effects in or between brain cells...
are commonly considered in mathematics are holonomic or quotients of holonomic functions. In fact, holonomic functions include polynomials, algebraic functions...
square law of the gravitational force. This latter is an example of a holonomic system: path integrals in the system depend only upon the initial and...
In mathematics and mathematical physics, a coordinate basis or holonomic basis for a differentiable manifold M is a set of basis vector fields {e1, ....
also slide laterally with great ease. These wheels are often employed in holonomic drive systems. A platform employing three omni wheels in a triangular...
known for founding the fields of algebraic analysis, hyperfunctions, and holonomic quantum fields. He was a professor at the Research Institute for Mathematical...
About the second part: "It is remarkably hard to find the etymology of holonomic (or holonomy) on the web. I found the following (thanks to John Conway...
their derivatives. Constraints of this type are known as non-holonomic. First-order non-holonomic constraints have the form g ( q , q ˙ , t ) = 0 , {\displaystyle...
taken. In general, a process function X may be either holonomic or non-holonomic. For a holonomic process function, an auxiliary state function (or integrating...
properties that a sequence be P-recursive and have a holonomic generating function are equivalent. Holonomic functions are closed under the Hadamard product...
For most holonomic sequences, there is no explicit formula for expressing a n {\displaystyle a_{n}} as a function of n. Nevertheless, holonomic sequences...
satisfies the h-principle if any non-holonomic solution can be deformed into a holonomic one in the class of non-holonomic solutions. Thus in the presence...
A Kiwi drive is a holonomic drive system of three omni-directional wheels (such as omni wheels or Mecanum wheels), 120 degrees from each other, that enables...
neuroscientist Karl H. Pribram, Bohm was involved in the early development of the holonomic model of the functioning of the brain, a model for human cognition that...
Kenneth D. Mackenzie. It is claimed that if an organization has twelve holonomic processes working, it would have the property of achieving and maintaining...
Yale University under Igor Frenkel with thesis Representation Theory and Holonomic Systems. After his PhD, he became Benjamin Peirce Assistant Professor...
way relevant to consciousness. He later collaborated on Karl Pribram's holonomic brain theory as a model of quantum consciousness. According to philosopher...
consciousness. Notable theories falling into this category include the holonomic brain theory of Karl Pribram and David Bohm, and the Orch-OR theory formulated...
constraints. Holonomic systems can always be written in Pfaffian constraint form. Given a holonomic system described by a set of holonomic constraint equations...
More precisely, a holonomic function is a solution of a homogeneous linear differential equation with polynomial coefficients. Holonomic functions are closed...
with the Levi-Civita connection, by working in coordinate frames (called holonomic coordinates) where the torsion vanishes. For example, in Euclidean spaces...
principle (or the action principle) states that the motion of a conservative holonomic (integrable constraints) mechanical system is such that the action integral...
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