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Topic: Nabla

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	www.nabla.hr /PPandTermsOfUse.htm (455 words)

	NationMaster - Encyclopedia: Nabla operator
		Vector field given by vectors of the form (-y, x) In mathematics a vector field is a construction in vector calculus which associates a vector to every point in Euclidean space.
		The name of this symbol is the nabla, after a Hebrew stringed instrument with a similar shape, and so the operator is also called the nabla operator.
		The symbol was introduced by William Rowan Hamilton, and is sometimes called nabla, after the ancient Hebrew instrument which the shape resembles.
	www.nationmaster.com /encyclopedia/Nabla-operator (739 words)

	Backreaction: Nabla
		The nabla symbol is used in maths (and physics of course) to denote a differential operator.
		It's funny that Maxwell defines the use of nabla in the "Preliminary" section at the beginning of his two volume Treatise on Electricity and Magnetism (3rd ed., 1873), for "convergence" and "curl" operators, and in fact in the rest of the never uses them for his electromagnetic equations.
		The correct etymology of nabla is that it is a short form of Czech "na blastním vrcholu stojící trojúhelník" which translates as "a triangle standing on its own bertex".
	backreaction.blogspot.com /2007/04/nabla.html (1856 words)

	[No title]
		The symbol, which is also called a "del," "nabla," or "atled" (delta spelled backwards), was introduced by William Rowan Hamilton (1805-1865) in 1853 in Lectures on Quaternions, according to Cajori vol.
		the NABLA is the greek derivative of the hebrew NEVEL.
		About the word nabla he says: Nabla wa suggested humourously by James Clerk Maxwell, according to one source.According to a post in sci.math by Noam D. Elkies, the term was coined by Tulio Levi-Civita.
	www.mat.univie.ac.at /~neum/contrib/nabla.txt (2740 words)

	PlanetMath: nabla
		, named nabla, represents the gradient operator, whose action on
		See Also: gradient, nabla acting on products, gradient, alternate characterization of curl
		This is version 4 of nabla, born on 2003-10-15, modified 2005-10-09.
	planetmath.org /encyclopedia/Nabla.html (93 words)

	PlanetMath: nabla
		, named nabla, represents the gradient operator, whose action on
		See Also: gradient, nabla acting on products, gradient, alternate characterization of curl
		This is version 4 of nabla, born on 2003-10-15, modified 2005-10-09.
	www.planetmath.org /encyclopedia/NablaNabla.html (85 words)

	Lexikonia.de - Informationen zu Nabla
		Sie haben nach der Definition zum Begriff "Nabla" gesucht, wir haben für Sie eine passende Erklärung des Begriffes "Nabla" gefunden.
		Das Symbol Nabla ist kein Buchstabe, sondern entstand als ein auf den Kopf gestelltes Delta
		William Rowan Hamilton bezeichnete dieses Zeichen als "Nabla", weil es ihn an eine antike Harfe namens Nabla erinnerte.
	www.lexikonia.de /82467_2_nabla.htm (70 words)

	Nabla operator - Eua4xiacwiki - Numerical Grid Generation Wiktionary
		In vector calculus nabla operator, or del, or gradient is a vector differential operator represented by the nabla symbol, ∇.
		The indexed notation allows an immediate generalization of nabla operator to the n-dimensional Euclidean space R
		Nabla can also be expressed in other coordinate systems: see cylindrical coordinates, spherical coordinates, elliptic coordinates.
	alice.iac.rm.cnr.it:8080 /wiki/index.php?title=Nabla_operator&printable=yes (118 words)

	Earliest Known Uses of Some of the Words of Mathematics (N)
		It was probably this reluctance on the part of Maxwell to use the term Nabla in serious writings which prevented Tait from introducing the word earlier than he did.
		The one published use of the word by Maxwell is in the title to his humorous Tyndallic Ode, which is dedicated to the "Chief Musician upon Nabla," that is, Tait.
		The name Nabla seems, therefore, ludicrously inefficient." ("On the Forces, Stresses, and Fluxes of Energy in the Electromagnetic Field," Philosophical Transactions of the Royal Society of London.
	members.aol.com /jeff570/n.html (5696 words)

	Lufkin Automation - History
		With the prior acquition of Nabla Corporation in Midland, Texas, Lufkin formed an automation group which is a part of their oilfield division.
		Nabla Corporation was founded in 1971 as a petroleum technical services firm.
		In 1982, Moved into the second NABLA owned building in Midland Industrial Park which provided larger classroom facilities and manufacturing space.
	www.lufkinautomation.com /history.asp (1009 words)

	BrainKing - Foros de discusión (Chess variants (8x8))
		I would still prefer the "forced moves must be played without compromise" option, for two reasons: (1) it was what the game's inventor specified, and (2) my admitted personal bias in favor of endgames, and the way endgame theory changes in specific variants.
		nabla: Perhaps you find it quite easy to remember, and it probably would if you are playing in real time, but I doubt I would be able to remember that when the game progesses with one move per week, and I play 10 games.
		nabla: Yes, I think that pawns should be able to promote, but I also agree that they can become too powerful because of the ability of dropping them on the seventh row.
	brainking.com /es/Board?bc=6 (3300 words)

	۞ Nabla - Infos und Erklärungen auf www.medizinToday.de (Site not responding. Last check: 2007-10-16)
		Das Symbol Nabla ∇ wird hauptsächlich als Bezeichnung des Nabla-Operators verwendet.
		Das Symbol Nabla ist kein Buchstabe, sondern entstand aus ähnlichen Symbolen der Quaternion -Analysis von William Rowan Hamilton.
		Der (altgriechische) Name „Nabla“ stammt von William Robertson Smith (1846-1894), den die Form an eine antike Harfe erinnerte.
	www.medizintoday.de /Nabla (257 words)

	Curl and Divergence of the Wave Vector in Non-Linear Dynamics (Site not responding. Last check: 2007-10-16)
		For example, the phase singularity at the tip of a spiral wave can be described in terms of the topological charge, defined by n_t \equiv \frac12\pi øint_c \nabla \phi \cdot \vecd\ell, where \phi(\vecr\;) is the local phase, and the line integral is taken over a closed curve c surrounding the defect.
		\nabla \cdot \veck is non-zero where wavefronts are created or collide.
		In theory, \nabla \times \veck and \nabla \cdot \veck can be used to reconstruct the \veck and \phi images.
	flux.aps.org /meetings/YR99/CENT99/abs/S6975003.html (271 words)

	LUFKIN Industries Company News
		Nabla provides oilfield technical services including analysis for oil wells, developing software for oilfield engineers to design artificial lift systems, manufacturing devices for oilfield automation, and training for engineers.
		Nabla, which had sales of approximately $2.5 million for the year ended December 31, 1996, operates throughout most oilfields in the United States, as well as Venezuela, Canada and Columbia.
		``Nabla is a world leader in its business with a number of active patents and will enhance Lufkin's already strong reputation for quality in the industry,'' said Douglas V. Smith, president and chief executive officer for Lufkin Industries.
	www.lufkin.com /corp/lufnw82a.htm (240 words)

	nabla@Everything2.com (Site not responding. Last check: 2007-10-16)
		The name nabla for the upside-down delta ∇ (aka an atled) comes from its shape: it is vaguely reminiscent of a harp, which is "nevel" in Hebrew.
		V and B being interchangeable under some western Semitic circumstances, the name nabla was given to the symbol.
		It can be used to represent a number of vector operations on scalar fields or vector fields.
	everything2.com /index.pl?node=nabla (228 words)

	Jørgen Villadsen - Nabla (Site not responding. Last check: 2007-10-16)
		More than three decades ago Richard Montague presented a formal description of the syntax and semantics of a fragment of English that included verbs, nouns, negation, coordination and quantification as well as propositional attitudes like assertion, knowledge and belief.
		The intensional logic is a special higher order logic with a typed lambda calculus that makes a treatment of the propositional attitudes possible.
		Based on recent work on generalized categorial grammar and type logic we present a linguistic system called Nabla which uses lexical and logical combinators in a linguistic theory that covers about the same fragment as Montague grammar, but without any rules and without the intensional logic.
	www2.imm.dtu.dk /~jv/nabla (332 words)

	Nabla Ltd. Releases the CFD Toolkit FOAM 2.3.
		Parallel operation is available as standard, requiring no special version of the software or changes to case set up and offering great efficiency and robustness even on meshes of, say, 100 million cells.
		The programming environment is accessible even to inexperienced users through strong support from Nabla and close partnerships between Nabla and its customers ensure new features are driven directly and intimately by the users.
		A wide network of academic users, for whom FOAM is freely available, further ensures that cutting edge technology is brought to the client faster than ever before.
	www.cfd-online.com /Forum/news.cgi?read=1307 (653 words)

	[No title]
		The derivative $\nabla _{v}w$ is defined as identical to $D_{v}w$ except that $v$ is not regarded as a tensor argument.
		Thus, the expression $\nabla _{u}\nabla _{v}w$ is simply the derivative of the vector field $\nabla _{v}w$.
		\ For a function $f$, that means \begin{eqnarray} \nabla* _{u}\nabla _{fv}w &=&\nabla _{u}\left(\nabla _{fv}w\right) \\ &=&\nabla _{u}\left(f\nabla _{v}w\right) \\ &=&\left(\nabla _{u}f\right) w+f\nabla _{u}\left(\nabla _{v}w\right) \end{eqnarray*}% so this expression is \emph{not} tensorial in $v$.
	www.people.vcu.edu /~rgowdy/phys691/rap/rev.rap (3418 words)

	Science Fair Projects - Nabla in cylindrical and spherical coordinates
		This is a list of some vector calculus formulae of general use in working with standard coordinate systems.
		Table with the del or nabla in cylindrical and spherical coordinates
		Note: This page uses standard physics notation, some sources define θ as the angle with the xy-plane.
	www.all-science-fair-projects.com /science_fair_projects_encyclopedia/Nabla_in_cylindrical_and_spherical_coordinates (222 words)

	ASCII version of Phys. Rev. Letters 70, 4102
		Neglecting the desorption of the surfactant atoms, the equation governing the surfactant kinetics obeys mass conservation.
		This leads to the continuity equation partial_t v = - nabla cdot j + eta', where v(x,t) is the width of the surfactant layer
		In (ref{COUPL.b}) the nabla^2 [(nabla h) cdot (nabla v)] term results from a current j = - nabla [(nabla h) cdot (nabla v)], and obeys mass conservation.
	www.nd.edu /~alb/paper/PRL70-4102 (2848 words)

	Amazon.com: Nabla (Site not responding. Last check: 2007-10-16)
		The triangle, called a nabla (because of its resemblance to...
		the Raja of Nabla had announced that he was...
		rejected the use of the nabla operator alone and employed also...
	www.amazon.com /s?ie=UTF8&keywords=Nabla&index=blended&page=1 (955 words)

	Nabla - Wiki Aventurica
		Die Nabla ist ein etwa 135 Meilen langer Fluss in Westaventurien, der in den nördlichen Ausläufern des Vorderkosch entspringt.
		Er bildet von der Quelle bis zur Mündung in die Tommel bei Winhall die Grenze zwischen dem Königreich Andergast und dem Herzogtum Nordmarken.
		Die Nabla ist nur die etwa 25 Meilen von Arraned bis zur Mündung schiffbar, wird aber von den andergastischen Flößern zum Transport von Steineichenholz genutzt.
	www.dsa4.de /wiki/index.php?title=Nabla (160 words)

	History of Nabla and Other Math Symbols (Site not responding. Last check: 2007-10-16)
		The most definite information came from Avinoam Mann (MANN@VMS.HUJI.AC.IL) who had posted a contribution to a nabla discussion on the academia mailing list (ACADEMIA@techunix.technion.ac.il), and it was communicated to me by Dani Censor (CENSOR@bguee.ee.bgu.ac.il), the maintainer of the list.
		The word NABLA (for the "del" or Hamiltonian operator) was suggested humorously by James Clerk Maxwell, according to one source.
		As regards language, nabla is the Greek word for some sort of harp.
	www.math.uic.edu /~hanson/math210/nabla98symbols.html (488 words)

	Suknie ślubne Nabla Kraków - moda ślubna, kontakt.
		Suknie ślubne Nabla Kraków - moda ślubna, kontakt.
		Moda ślubna, suknie ślubne, dodatki ślubne dla Pani i Pana, suknie ślubne - galerie zdjęć, targi ślubne - fotografie, informacje o firmie Nabla, linki slubne.
		Zapraszamy do firmy Nabla, oferujemy modne suknie ślubne.
	www.slubnesuknie.com.pl /kontakt.html (137 words)

	[No title] (Site not responding. Last check: 2007-10-16)
		Subject: Re: Nabla operator Date: Fri, 18 Aug 2000 03:29:47 +0200 Newsgroups: sci.math Summary: [missing] MJ Ferguson wrote: > what exactly does the nabla operator do??????
		V being a scalar field and F a vector field, it's a very handy notation (it's not a vector, but it transforms as a vector, so it can be used like one, somehow).
		You will find a very good discussion of it in a "Feynman's lecture on physics" of tome II (at the start, may be the second or third chapter).
	www.math.niu.edu /~rusin/known-math/00_incoming/nabla (119 words)

	Ratchet & Clank Up Your Arsenal - Nabla Forest - Playstation Notebook Walkthrough
		After exploring the jungle world of Nabla Forest, Ratchet runs into a native voodoo leader who reminds us of Qwark.
		We've been ordered to enter the Path of Death.
		Skill Point: If you can make it through the entire Path of Death obstacle course without a scratch, you'll earn the Stay Squeaky Clean skill point.
	www.playstationnotebook.com /RCUYA/nabla2.html (453 words)

	Nabla Did You Mean nabla? (Site not responding. Last check: 2007-10-16)
		Nabla symbol in mathematics, also referred to as "Del" or "Atled".
		Article on Nabla, category, different spelling or sense
		Page Nabla cached on Friday 09th of March 2007 04:20:20 PM Compteur gratuit
	www.did-you-mean.com /Nabla.html (145 words)

	MP Mitgliedsprofil 'nabla' (Matroids Matheplanet)
		1 der Themen von nabla haben das Ok-Häkchen.
		nabla hat 0 von 2 eigenen Themen selbst abgehakt.
		nabla ist Mitglied seit 28.10.2004 und wurde zuletzt am 19.11.2004 auf dem Matheplaneten gesehen.
	www.matheplanet.com /matheplanet/nuke/html/user.php?op=userinfo&uname=nabla (145 words)

	nabla - Definitions from Dictionary.com
		Did you mean nabal (in dictionary) or Nabla (in encyclopedia)?
		Would you like to search the encyclopedias, or search the Web for nabla?
		Perform a new search, or try your search for "nabla" at:
	dictionary.reference.com /browse/nabla (42 words)

	Who is the mysterious nabla? Text - Physics Forums Library
		...you can clearly see users "nabla" and "rachmaninoff" logged in at the same time.
		In which case they should be banned also.
		10-30-2005, 11:32 AM \nabla HAS ADMINISTRSTIVE POWERS!!!!!:surprised :surprised :surprised :surprised :surprised :surprised :surprised :surprised :surprised :surprised :surprised :surprised :eek: :eek: :eek: :eek: :eek: :eek: :eek: :eek:
	www.physicsforums.com /archive/index.php/t-97376.html (728 words)

	[No title] (Site not responding. Last check: 2007-10-16)
		}\text{\{R.H.S. of (\ref{1}) evaluated at }\mathbf{x}% ^{\prime }\text{\}} \] where $\mathbf{D}^{0}$ is the incident field, solution of $(\nabla ^{2}+k^{2})\mathbf{D}^{0}=0$.
		Then, in the radiation region, $\mathbf{D=D}^{0}+\mathbf{f}% D^{0}\dfrac{e^{ikr}}{r}$ where $\mathbf{f}$ is the scattering amplitude: \[ \mathbf{f}D^{0}=\frac{1}{4\pi }\int d^{3}x^{\prime }e^{-ik\mathbf{n\cdot x}% ^{\prime }}\left[ \mathbf{\nabla }^{\prime }\mathbf{\times \nabla }^{\prime }% \mathbf{\times (D-}\varepsilon _{0}\mathbf{E)+}\frac{i\varepsilon _{0}\omega }{c}\mathbf{\nabla }^{\prime }\mathbf{\times (B-}\mu _{0}\mathbf{H)}\right].
		The relevant distribution of density fluctuations in the entire volume $V$ is given by \[ \exp \left[ -\frac 1{k_BT}\frac 12\frac{\partial ^2F}{\partial N^2}\int d^3xd^3x^{\prime }\left\{ \delta N(\mathbf{x)}\delta N(\mathbf{x}^{\prime }% \mathbf{)+}\xi ^2\mathbf{\nabla }N(\mathbf{x)\cdot \nabla }N(\mathbf{x}% ^{\prime }\mathbf{)}\right\} \right] \] where $\xi $ is an unknown quantity that will be identified with the correlation length (see \textbf{e}.).
	galileo.phys.virginia.edu /classes/vc/743/notes/lec09-7/lec09-7.txt (2052 words)

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