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Topic: Laplacian vector field

	Operator - Wikipedia, the free encyclopedia
		Three main operators are key to vector calculus, the operator ∇, known as gradient, where at a certain point in a scalar field forms a vector which points in the direction of greatest change of that scalar field.
		In a vector field, the divergence is an operator that measures a vector field's tendency to originate from or converge upon a given point.
		Curl, in a vector field, is a vector operator that shows a vector field's tendency to rotate about a point.
	en.wikipedia.org /wiki/Operator (1659 words)

	Gravity - Facts, Information, and Encyclopedia Reference article
		It can be seen, that the vector form of the equation is the same as the scalar form, except for the vector value of F and the unit vector.
		The gravitational field is a vector field that describes the gravitational force an object of given mass experiences in any given place in space.
		The relationship between the presence of mass/energy/momentum and the curvature of spacetime is given by the Einstein field equations.
	www.startsurfing.com /encyclopedia/g/r/a/Gravity.html (4566 words)

	SEP: Emergent Properties
		Mill says that the essence of the mechanical mode is that the total effect of several causes acting in concert is identical to what would have been the sum of effects of each of the causes acting alone.
		The laws of vector addition of forces, such as the parallelogram law, are for him the paradigm example of the conjoint action of causes in the mechanical mode.
		For he allows that a LaPlacian calculator of unlimited computational ability who knew only the basic principles of physics and the state of the universe at a pre-biological stage might predict the subsequent distribution of all matter in physical terms (pp.327-9).
	plato.stanford.edu /entries/properties-emergent (8625 words)

	REDUCE Bibliography
		The exterior gravitational field of a charged spinning source in the Poincaré gauge theory: A Kerr-Newman metric with dynamic torsion.
		On the enumeration of irreducible κ-fold euler sums and their roles in knot theory and field theory.
		Calculation of the matrix elements of the Hamiltonian of the interacting vector boson model using computer algebra - basic concepts of the interacting vector boson model and matrix elements of the SU(3)-Quadrupole operator.
	www.reduce-algebra.com /bibliography.htm (7590 words)

	bit-player
		O molecule is electrically neutral, it has positive and negative poles, where opposite charges congregate (most of the positive charge on the hydrogen atoms, most of the negative charge on the oxygen).
		Since the microwave field changes direction at a frequency of a few gigahertz, the water molecules must continually flip or spin to keep pace.
		As with the sloshing of the electrons in tinfoil, this rotation of the water molecules can’t be considered heat because it’s too orderly; all the molecules are twirling in synchrony.
	www.bit-player.org (8375 words)

	Time: Hitoshi Kitada's Home Page
		At the stage of general theory of relativity, the field equation with the invariance postulate with respect to diffeomorphisms requires one to eliminate the size of the frames in which clocks reside.
		This defect of the field equation constitutes a fundamental theoretical problem in quantizing general theory of relativity.
		We thus identify the problem to reside in the Einstein's field equation by the primary reason that it is based on the notion of matter field.
	www.kitada.com (7039 words)

	Ia-Im
		The International Geomagnetic Reference Field model is the empirical representation of the Earth's magnetic field recommended for scientific use by the International Association of Geomagnetism and Aeronomy (IAGA).
		It represents the main (or core) field without external sources and employs the usual spherical harmonic expansion of the scalar potential in geocentric coordinates.
		It is a distance vector interior-gateway protocol (IGP) wherein each router sends all or a portion of its routing table in a routing update message at regular intervals to each of its neighboring routers.
	stommel.tamu.edu /~baum/linuxlist/linuxlist/node23.html (8247 words)

	Differential Geometry Books
		The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds (London Mathematical Society Student Texts)
		Vector Bundles and Their Applications (Mathematics and Its Applications)
		Complex Differential Geometry and Supermanifolds in Strings and Fields: Proceedings of the 7th Scheveningen Conference (Lecture Notes in Physics)
	www.spinics.net /differential-geometry.php (7270 words)

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