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Topic: Holonomic

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	Holonomic - Wikipedia, the free encyclopedia
		In robotics holonomicity refers to the relationship between the controllable and total degrees of freedom of a given robot (or part thereof).
		Wolfram Koepf, The Algebra of Holonomic Equations, 20.
		Koepf: "The Algebra of Holonomic Equations", Mathematische Semesterberichte 44 (1997), pp.173–194 [1]
	en.wikipedia.org /wiki/Holonomic (502 words)

	Nonholonomic system - Wikipedia, the free encyclopedia
		In physics and mathematics, a nonholonomic system is a system in which a return to the original internal configuration does not guarantee return to the original system position.
		In other words, unlike with a holonomic system, the outcome of a nonholonomic system is path -dependent, and the number of generalized coordinates required to represent a system completely is more than its control degrees of freedom(sometimes called differential degrees of freedom, DDOF).
		In addition to the motion variables corresponding to the control degrees of freedom,the history of its motion too should be known.
	en.wikipedia.org /wiki/Nonholonomic_system (243 words)

	Comparison between Karl Pribram's "Holographic Brain Theory" and ore conventional models of neuronal ...
		The holonomic theory is based on evidence that the main computational event of neurons is the polarizations and hyper polarizations at the dendritic membranes of neurons.
		The holonomic theory (for the example of vision) summarizes evidence that the image formed on the retina is transformed to a holographic (or spectral) domain.
		Possibly the most radical part of the holonomic theory is Pribram's claim that a "receiver" is not necessary to "view" the result of the transformation (from spectral holographic to "image").
	www.acsa2000.net /bcngroup/jponkp (7071 words)

	A Novel Concept (Site not responding. Last check: 2007-10-22)
		Holographic or holonomic image events that exhibit periodic movement in space through time are created as, and reconstructed from higher order energetic holograms that include the dimension of time.
		Moreover, individual nonmaterial holonomic minds independently exist on the nonmaterial scale of existence and communicate with the organic human brain through interactive subquantum energy bridge interfaces which link the material and nonmaterial primordial energy domains of physical reality.
		In an energetic, multi-level holonomic hierarchy each reciprocally reconstructed (inverted) holonomic scene or venue is produced from a parent hologram generated or stored on the preceding transcendent level of holonomic activity.
	www.cox-internet.com /hermital/book/holopara1-2.htm (1206 words)

	XRAYMEDIA Inc. - Press Releases (Site not responding. Last check: 2007-10-22)
		Along with the study Holonomic products and services, XRAYMEDIA is working with them to analyze its present and potential markets, analyze competition, media planning, media negotiations and placement, promotional coordination, media insertions and trafficking of creative, contract and invoice reconciliation, payment of media, marketing, consulting and general assistance with numerous other contract negotiations.
		Holonomic International Technology Inc. (www.life-raft.net) holds patents for a unique technology relating to life rafts, which come currently in 5 sizes: 6, 10, 15, 20, and 25 person capacities (other sizes to follow).
		Holonomic designs ensure that those who have to use life rafts in an emergency will be onboard the best product available, a technically advanced and superior life raft.
	www.xraymedia.com /cc/press/2002/pr_081602.html (800 words)

	Fundamental Forces (Site not responding. Last check: 2007-10-22)
		From subnuclear elementary particles with electric charge to the cosmos itself, electromagnetism is ubiquitous and limited only by the phenomenal boundary of our reciprocally emergent,6 subluminal holonomic universe.
		Particulate matter is organized and maintained as the material feature of our reconstructed, conditionally relative holonomic universe which is created by the energetic activity of the nonmaterial continuum or spectrum of phenomenal consciousness on a reciprocally emergent transcendent level within the fundamental, irreducible, nonmaterial energy domain.
		Furthermore, gravity is a property of physical mass and transcendent, reciprocally emergent consciousness is the agent of nonmaterial physical energy.
	www.cox-internet.com /hermital/book/holopara1-3.htm (1064 words)

	Chief Delphi - Holonomic Drive Question (Site not responding. Last check: 2007-10-22)
		The cambered holonomic drive system that Team 116 developed this year used four drive wheels that were located at different radial positions and different distances from the CG.
		While a holonomic drive system will be more pushable than a traditional 4-solid wheel system, it is still harder to push than a robot using all onmi-wheels.
		In general, a four wheel holonomic drive system will have the equivalent of two wheels that roll freely and two wheels that are resisting the motion.
	www.chiefdelphi.com /forums/showthread.php?t=38839 (2116 words)

	Overview of the holonomic paradigm
		The development of holonomic brain theory by psychologist Karl Pribram similarly indicates that consciousness is primarily assocaited with nonlocal activity among dendritic microprocesses rather than the biochemical events associated with neural firing.
		Although there are still many other areas of research that can be described regarding the holonomic paradigm, the related work of these researchers is sufficient to provide an outline of the new world view implied by the holonomic paradigm.
		Much as Copernicus taught us that the earth is not the center of the world, the holonomic paradigm indicates that the world manifest to our senses and our instruments is not the whole world but only a corner of a vast reality beyond what has been imagined.
	www.angelfire.com /ma3/holoweb/page4.html (506 words)

	Holonomic Elastoplastic Reliability Analysis of Truss Systems. I: Theory (Site not responding. Last check: 2007-10-22)
		Because elastoplastic behavior is a very real possibility under the hazard of random actions during the lifetime of a structural system, it is natural that methods of reliability theory have to be used for the assessment of this type of behavior.
		The present paper is the first part of an investigation on holonomic elastoplastic reliability analysis of truss systems under random loads.
		Following a brief description of the deterministic direct holonomic elastoplastic analysis formulation, a modified formulation is proposed for the purpose of reliability analysis.
	www.pubs.asce.org /WWWdisplay.cgi?9302246 (192 words)

	Chief Delphi - The advantage of holonomic drivetrains (Site not responding. Last check: 2007-10-22)
		It seemed to me that it was difficult for robots with holonomic drive trains to be succesful this year.
		We were one of four holonomic robots at waterloo, and I think we were among the best of the overall competition.
		So holonomic teams were well recognized and in good company; however, I don't think any advanced to the semifinals.
	www.chiefdelphi.com /forums/showthread.php?t=45967 (2034 words)

	Halfbakery: Holonomic Cars
		One downside is that I don't imagine holonomic wheels would be very good at highway speeds-- but I could be wrong.
		If that's the case, then holonomic cars could be city drivers (and as such, be electric) while you use your old non-holo car for long distance treks.
		Perhaps someone could develop holonomic hybrids that alter their configuration (perhaps with a dropdown fourth wheel) for higher speeds.
	www.halfbakery.com /idea/Holonomic_20Cars (508 words)

	Holonomic Functions in Computer Algebra (abstract) (Site not responding. Last check: 2007-10-22)
		First, a theoretical framework is introduced in order to give algorithms for the closure properties of the holonomic class, to permit a zero test in this class, and to unify differential calculations with functions and calculations of recurrences with sequences.
		These methods are based on calculations by an extension of the theory of Gröbner bases in a framework of non-commutative polynomials, namely Ore polynomials.
		Much more than the search for closed forms, the aim is to be able to continue to compute with the implicit representation of holonomic objects even when no explicit form is available.
	pauillac.inria.fr /algo/chyzak/Publications/these-gif/abstract.html (246 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations
		We present a numerical study of the robustness of a specific class of non-Abelian holonomic quantum gates.
		The performance estimator used is the state fidelity between noiseless and noisy holonomic gates.
		We carry over our analysis with different correlation times and we find out that noisy holonomic gates seem to be close to the noiseless ones for 'short' and 'long' noise correlation times.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=20646352 (320 words)

	A Holonomic Mobile Robot for Yale’s Robocup Team
		A Holonomic Mobile Robot for Yale’s Robocup Team.
		This document describes the development during the 2000-2001 academic year of a robot capable of holonomic motion.
		When this project was first proposed, it was desired that the new robot would be capable of holonomic motion, it would have a kicking apparatus, and it would have reliable motor control.
	zoo.cs.yale.edu /classes/cs490/00-01b/rosser.saul.sr238 (3316 words)

	Citebase - Holonomic and Legendrian parametrizations of knots
		Our main result is that any two holonomic knots which represent the same knot type are isotopic in the space of holonomic knots.
		A second result emerges through the techniques used to prove the main result: strong and unexpected connections between the topology of knots and the algebraic solution to the conjugacy problem in the braid groups, via the work of Garside.
		We also discuss related parametrizations of Legendrian knots, and uncover connections between the concepts of holonomic and Legendrian parametrizations of knots.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/9810026 (238 words)

	physics
		The Palm Pilot Robot can move holonomically across flat surfaces, which in this case means it may move in any direction while simultaneously controlling rotational speed.
		This is true because the omni-wheels have rollers that allow them to freely roll sideways but control the motion in the direction the wheel is pointing.
		At each wheel, the velocity depends on v and w, and is the sum of the velocity due to rotation (expressed in the body frame) and the motion of the body frame in the world:
	www-2.cs.cmu.edu /~pprk/physics.html (182 words)

	Projects 3 & 4 - The Holonomic Base
		After discussing holonomic and nonholonomic robots in class one day, Prof.
		Dodds showed a Lego holonomic base (from this page) as an example.
		The specific base modeled a Killough Platform, a sample of which is shown below.
	www.cs.hmc.edu /~dodds/projects/RobS01/Assignment4/holo.htm (2984 words)

	Results for 'holonomic'
		holonomic mobile robots Guldner, J.; Utkin, V.I.; Hashimoto, H.; Harashima...
		holonomic constrained systems: a feedforward fuzzy approximation-based approach Chian-Song Chiu; Kuang-Yow Lian; Liu, P. Pages: 456- 466...
		Welcome to IEEE Xplore 2.0: American Control Conference, 2004.
	odysseus.ieee.org /ieeesearch/query.html?qt=holonomic (628 words)

	Chow's theorem and universal holonomic quantum computation
		A theorem from control theory relating the Lie algebra generated by vector fields on a manifold to the controllability of the dynamical system is shown to apply to holonomic quantum computation.
		Conditions for deriving the holonomy algebra are presented by taking covariant derivatives of the curvature associated with a non-Abelian gauge connection.
		In particular, a universal two-qubit logic gate is attainable for this model.
	stacks.iop.org /0305-4470/35/5107 (242 words)

	Consciousness - Wikipedia, the free encyclopedia
		Theories that seek to explain phenomenal consciousness directly, such as Space-time theories of consciousness and Electromagnetic theories of consciousness, have been available for almost a century, but have not as yet been confirmed by experiment.
		Theories that attempt to explain the QM measurement problem include Pribram and Bohm's Holonomic brain theory, Hameroff and Penrose's Orch-OR theory, Spin-Mediated Consciousness Theory and the Many-minds interpretation.
		Some of these QM theories offer descriptions of phenomenal consciousness, as well as QM interpretations of access consciousness.
	en.wikipedia.org /wiki/Consciousness (5347 words)

	Dynamics of Nonholonomic Systems (Site not responding. Last check: 2007-10-22)
		Ruina, A., This paper demonstrates by means of a simple example that systems that are piecewise holonomic but have intermittent contact inherit some of the stability properties of non-holonomic systems.
		Coleman, M, Holmes, P. This paper discusses the dynamics and stability of a piecewise holonomic mechanical system as a function of mass distribution and geometry.
		Ruina, A. These are overheads from a talk given at various places.
	ruina.tam.cornell.edu /hplab/nonholonomics_papers.html (115 words)

	Encyclopedia of Combinatorial Structures (Introduction)
		A linear recurrence for f(n), the number of objects of size n.
		In order to obtain this recurrence, it is necessary that the generating function be holonomic.
		The closed form for these numbers f(n) (computed either by Maple's rsolve or by
	pauillac.inria.fr /algo/encyclopedia/index.html (366 words)

	The Holonomic Ansatz II: Automatic DISCOVERY(!) and PROOF(!!) of Holonomic Determinant Evaluations
		The Holonomic Ansatz II: Automatic DISCOVERY(!) and PROOF(!!) of Holonomic Determinant Evaluations
		Of course, the main point of this article is not the results themselves but as a case study and metaphor for the shape of mathematics to come.
		Important: This article is accompanied by Maple package DET that automatically guesses and proves (rigorously or semi-rigorously) holonomic determinant evaluations.
	www.math.rutgers.edu /~zeilberg/mamarim/mamarimhtml/ansatzII.html (454 words)

	Amazon.com: The Holonomic Paradigm: Biophysics, Consciousness and Parapsychology: Books: Keith A. Choquette (Site not responding. Last check: 2007-10-22)
		Amazon.com: The Holonomic Paradigm: Biophysics, Consciousness and Parapsychology: Books: Keith A. Choquette
		This item is not eligible for Amazon Prime, but over a million other items are.
		In this book data from several disciplines are brought together to describe a new view of science.
	www.amazon.com /exec/obidos/tg/detail/-/1401043720?v=glance (484 words)

	Holonomic robot supports Windows XP Embedded
		MobileRobots has announced an all-weather, indoor/outdoor mobile robot targeting "intelligent navigation" applications, like laser mapping.
		The nimble, "holonomic" Seekur offers space, power, and networking for up to five EBX form-factor embedded PCs supporting Windows XP/XPe, and is available with a variety of sensor options.
		Find out all about the Seekur, and its unique Windows-friendly C++ control and sensor API, in our complete Device Profile:
	www.windowsfordevices.com /news/NS9314402896.html (311 words)

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