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Topic: Vector flow

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	Vector field - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-09-19)
		Vector fields are often used in physics to model for example the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point.
		Vector fields should be compared to scalar fields, which associate a number or scalar to every point in space (or every point of some manifold).
		Given a particle in a gravitational vector field, where each vector represents the force acting on the particle at this point in space, the curve integral is the work done on the particle when it travels along a certain path.
	en.wikipedia.org /wiki/Vector_field (1398 words)

	Vector flow - Wikipedia, the free encyclopedia
		In mathematics, the vector flow refers to a set of closely related concepts of the flow determined by a vector field.
		A global flow is one whose flow domain is all of R × M.
		A vector field is complete if it generates a global flow.
	en.wikipedia.org /wiki/Vector_flow (408 words)

	Vector Fields
		The difference between a vector and a vector field is that the former is one single vector while the latter is a distribution of vectors in space and time.
		The magnitude of this vector is an infinitely small length element of the curve at a certain location and the direction of it is tangential to the curve at the same location.
		The circulation of the arbitrary vector field V along an arbitrary curve is the average tangential component of V along the curve multiplied by the length of the curve.
	www.ece.arizona.edu /~szilagyi/vectors.html (824 words)

	Pryamid (Site not responding. Last check: 2007-09-19)
		In the case of figure (c), offspring vectors would be converted into a slight mixture of both negative and positive pressure values, with a bit of positive pressure appearing at the top, due to compression, and some negative pressure at the right, due to expansion.
		If there is a conflict, meaning that some vectors are aimed in different directions or that the rate of flow is different, then the offspring will be born with some of their flow energy converted to pressure energy.
		Vectors near the edge which are flowing parallel to the walls are not as affected by the walls, since their offspring are strongest in front and in back, not so much at their sides.
	www.ventrella.com /Ideas/Fluid/fluid.html (4238 words)

	Streakline: Facts and details from Encyclopedia Topic (Site not responding. Last check: 2007-09-19)
		In fluid dynamics, a streamline is a line which is everywhere tangent to the velocity of the flow....
		In vector calculus a solenoidal vector field is a vector field v with divergence zero:...
		The reynolds-averaged navier-stokes equations are time-averaged equations of motion for fluid flow....
	www.absoluteastronomy.com /encyclopedia/s/st/streakline.htm (510 words)

	[No title]
		Vector fields are traditionally rendered as collections of arrows which encode magnitude as length, direction as orientation of the major line segment, and location as the point at the tail of the arrow.
		Given the use of vector magnitude as one of the dimensions, the most appropriate representation of the vector fields is in polar coordinates, as a magnitude and two angles.
		The main shock wave in the flow is visible as the division between the forward area which seems to oscillate between green and magenta hues, and the rear area which is mainly green.
	www.nas.nasa.gov /Research/Reports/Techreports/1991/PS/RNR-91-026.txt (8113 words)

	Tcp Missing (Site not responding. Last check: 2007-09-19)
		The flow parsing is done based on four values inside this function: the source ip address, the destination ip address, the source port number, and the destination port number.
		A vector of packets is created and accessed through a hashMap where the key is the int value of those four deciding values.
		Flow 1 behaved normally in the best case scenario where there was no delay and no packet loss.
	www.arches.uga.edu /~rblack/thesis/sep.html (216 words)

	Visual Motion Estimation based on Motion blur interpretation
		The Cepstrum is useful in extracting the magnitude of the velocity vector because the central ellipse in the 2D spectrum is echoed along the direction of the velocity vectors with a period equivalent to the magnitude of the velocity vector.
		This is obvious in the Cepstrum by the appearence of a negative peak at the value of the magnitude of the velocity vector.
		The solution to the optical flow estimation problem under the occurance of blur is described in chapter three.
	www.cim.mcgill.ca /~yiannis/mscthesis.html (774 words)

	[No title] (Site not responding. Last check: 2007-09-19)
		The "space" of a vector field, for example, does not have inter-nested sublevels (subspaces) containing finer "shadow vectors" or "virtual vectors." Yet particle physics has already discovered that electrical reality is built that way.
		We do not allow for things to "travel inside the vector flow itself." Yet, actually, there is a second, more subtle flow inside the first, and a third, even more subtle flow inside the second, and so on.
		Voltage, which is always associated with a flow of electrical "mass" current (even if only a miniscule flow), is, by definition, a difference dropped in potential when a charge mass moves between two spatially seperated points.
	www.textfiles.com /conspiracy/mism18.txt (6116 words)

	Martin Anderson, Ph.D., The Evaluation and Optimization of Spatial Quadrature-based Vector Flow Estimation with Medical ... (Site not responding. Last check: 2007-09-19)
		Much of the clinical utility of ultrasound arises from its capabilities to visualize and quantify the flow of blood in vivo.
		to capture, wall filter, and analyze in vivo ultrasound echo flow data from the carotid and femoral arteries and the abdominal aorta and to use these data to compare SQ vector flow estimation with conventional angle-corrected estimation.
		By extending the ultrasonic estimation of blood flow velocity vectors from one to two dimensions, these investigations have the potential to significantly increase the sensitivity and specificity of ultrasonic flow imaging in the examination of pathology of the peripheral vasculature.
	www.whitaker.org /abstracts/apr01/anderson.html (394 words)

	[No title] (Site not responding. Last check: 2007-09-19)
		This optic flow vector is the direction and magnitude one pixel needs to move to match the other image.
		This vector is determined from the intensity gradient at each pixel and the difference of intensities at a given pixel between the two frames.
		For the non-zero portion of the optic flow field, limbs and other body parts can be identified since the optic flow field for a give body part should be fairly constant or a recognizable pattern for the case of rotations.
	www.cc.gatech.edu /classes/AY2000/cs7495_fall/participants/jammin/ps4 (562 words)

	Generalizing the Poynting Vector (Site not responding. Last check: 2007-09-19)
		Thus the Poynting theorem does not apply to interactions for which the constitutive relations mix electric and magnetic variables, are nonlinear in the fields, involve derivatives of the fields (nonlocal or wavevector-dispersive interactions), or involve nonelectromagnetic fields such as an acoustic field needed for acoustooptic diffraction.
		To obtain an energy flow vector that includes all these possibilities it is necessary to treat the material medium as fundamentally as the electromagnetic field, i.e.
		We illustrate the power of the new energy flow vector by applying it to two linear optical interactions (optical activity and exciton-polariton propagation, both wavevector-dispersive interactions) for which the Poynting vector fails.
	flux.aps.org /meetings/YR9596/BAPSDAMOP96/abs/S260003.html (189 words)

	User talk:Fropuff - Wikipedia, the free encyclopedia
		While copying (the awful) article flow (mathematics) from planetmath, I stumbled upon your marvelous User:Fropuff/Notes, noted that it had a solid overview of flows, better than anything else that we have on WP, and thus I mangled it into a stand-alone article, titled vector flow.
		At first glance, I'm not sure why you have flow (mathematics) and vector flow as two separate articles; they seem to have considerable overlap.
		Also, I prefered the name flow (geometry) to flow (mathematics) as there is another meaning of flow in mathematics: namely network flow.
	en.wikipedia.org /wiki/User_talk:Fropuff (3400 words)

	The Machine SUIF Bit-Vector Data-Flow-Analysis Library
		Typically, the property sets are represented as bit vectors, and the generic algorithm propagates them iteratively over a flow graph, transforming them monotonically to reflect the effects of basic blocks and the confluence of edges, until they converge at all points.
		A flow function is a slot-set transformer; it captures the total effect of a CFG node n in one data structure that is applied to before[n], yielding after[n].
		To apply a flow function to a slot set, we subtract away any slots at which the function is constant and then union in the new constant slots.
	www.eecs.harvard.edu /hube/software/nci/bvd.html (3735 words)

	Magic Hat Report
		If the size of the moving region is larger than a threshold, the 3D motion is considered to be self-motion; otherwise, the moving object is isolated and all further processing is restricted to the moving object (the moving object is enclosed by a white re ctangle in the display window).
		Thus, we can find the FOE from a normal flow vector field, providing that the inten sity gradient (edge) distribution in the image is uniform (i.e., the probability that a certain orientation is seen in an image location is the same as for any other orientation).
		The normal flow vector is in the direction cos (q-a)[cos(a), sin(a)].
	www.bu.edu /bravi/research/MagicHat/MagicHat.html (1628 words)

	The Poynting vector, power transmission, and the CFA.
		Yet there is a local elemental Poynting vector, which, if we interpret it as a local power flow, has no basis in the Physics of the situation.
		Of course, there has to be a local power flow during the time the fields are being set up, as energy is stored in the fields.
		There is a magnetic field generated around each of the wires by the current flowing in them, and there is an electric field between the wires because of the voltage drop across the resistor.
	www.ee.surrey.ac.uk /Personal/D.Jefferies/poynting.html (3085 words)

	The idea of divergence and curl*
		Since this compression of fluid is the opposite of expansion, the divergence of this vector field is negative.
		At a given point, the divergence of a vector field is just a single number that represents how much the flow is expanding at that point.
		It turns out that this vector field also has curl, which we might think of as "microscopic circulation." To test for curl, imagine that you could immerse a small sphere into the fluid flow, fix the center of the sphere at some point, but allow the sphere to rotate in any direction.
	www.math.umn.edu /~nykamp/m2374/readings/divcurl (897 words)

	Flow Visualization (Site not responding. Last check: 2007-09-19)
		In the ocean and atmosphere, eddies, waves, and other vortical structures and the swirling flows associated with them, are fundamental to the physical behavior of the fluids in which they are embedded, as well as being crucial to a better understanding of the climatic and biospheric interactions that they take part in.
		While vortical flows are easy to define qualitatively—they are swirling flows which can be considered coherent structures on the time scales of interest, formal definitions are difficult.
		Three dimensional visualization techniques are necessary for atmospheric flows, in which it is often the vigorous up and down drafts within a horizontally swirling column of air that do the most damage or produce the most rain.
	www.cs.purdue.edu /homes/sun/CIRL/Project/VectorVis/vectorVis.html (932 words)

	Flow Field Following steering behavior (Site not responding. Last check: 2007-09-19)
		The flow field defines a mapping from a location in space to a flow vector.
		Any flow field can be used as the basis of this steering behavior, although it is sensitive to high spatial frequencies and discontinuities in the field.
		In this diagram, the vehicle is shown in green, its velocity vector in magenta, and its steering force vector in blue.
	www.red3d.com /cwr/steer/FlowFollow.html (232 words)

	Recursive Functions, Flow Charts, And Algolic Programs (Site not responding. Last check: 2007-09-19)
		In the case of a machine language program, the state vector is the set of current contents of those registers whose contents change during the course of execution of the program.
		We shall regard the state vector as having many components, but the only components affected by the present program are the s-component and the n-component.
		While all flow charts correspond immediately to recursive functions of the state vector, the converse is not the case.
	www-formal.stanford.edu /jmc/towards/node9.html (603 words)

	Final Project (Site not responding. Last check: 2007-09-19)
		Since the vector at each point defines a right triangle with known sides, and the desired boundary intersection defines a triangle with one unknown size, we were able to exploit similar triangles to quickly identify boundary intersections for the line defined by each vector.
		A large magnitude in the average vector and a small sampling value around the focus of expansion indicated a pure translation in camera motion, ie the robot was rotating with no forward or backwards motion.
		Note that the magnitude of the average vector is small, the FOE is, in fact, the FOE, and the sign of the div indicates correctly the direction of motion.
	www.sccs.swarthmore.edu /users/04/stober/vision/final.html (1391 words)

	Sir James Jeans - remarks on the Poynting vector. (Site not responding. Last check: 2007-09-19)
		For instance, if an electrified sphere is placed near to a bar magnet, this latter assumption would require a perpetual flow of energy at every point in the field except the special points at which the electric and magnetic lines of force are tangential to one another.
		The Poynting theorem actually is a relationship between the divergence (div S) of the Poynting vector flux S and the sources of energy at a point.
		For a region containing no sources or sinks of energy, the Poynting theorem merely states that div S = 0, and therefore by the divergence theorem, that the integral of the normal component of S over a closed surface surrounding a region containing no sources or sinks of energy must also be zero.
	www.ee.surrey.ac.uk /Personal/D.Jefferies/jjeans.html (312 words)

	Speed, flexibility and simplicity for flow test: News from Uson
		Uson reckons its new Vector range comprises the fastest and most powerful leak and flow testers ever introduced; yet they are simple to set up and operate.
		The Vector's novel modular design lets the user choose only the features that are actually needed while allowing the capabilities of the tester to be easily and economically expanded as future requirements dictate.
		The Vector is capable of performing virtually every type of leak and flow test.
	www.engineeringtalk.com /news/uso/uso106.html (316 words)

	Bythotrephes GIS
		A retrospective analysis of 31 invaded lakes revealed that the order in which lakes were invaded was directly related to the magnitude of vector inflows from invaded sources.
		Analysis of the dominant vector inflow to each invaded lake revealed a ‘stepping stone’ pattern in which at least five lakes were sequentially invaded from the source population in Lake Huron.
		His Michaelis-Menton type assessments of vector outflows from invaded lakes to other invaded lakes or to other noninvaded lakes allow usto determine which invaded lakes will be most important in future spread of the species.
	web2.uwindsor.ca /courses/biology/macisaac/pages/bythotrephes-gis.htm (938 words)

	IAP - Measuring the acoustic energy flow (Site not responding. Last check: 2007-09-19)
		The intensity concept allows the discrimination between a reactive part of the energy flow, which is dominating in a high quality acoustic resonator, and the active or net energy flow, which is the interesting v ariable in damped complex real structures.
		The existing theory regarding the acoustic Poynting vector in the free surface of a structure which up to now has only been established for the case of isotropic structures, was generalized to non-isotropic structures.
		It was shown that, in this general case, the measurement of the acoustic Poynting vector in the surface can be reduced to a measurement of the three in-plane strain and the two in-plane velocity components.
	www.iap.tuwien.ac.at /www/sensors/poynting.html (261 words)

	[No title]
		This global flow is easiest to see when the cinematogram's directions span a limited range.
		Researchers have assumed that perceived flow is in the mean of all directions present in the cinematogram (Williams and Brannan).
		Salzman andNewsome speculated that Vector Averaging might be responsible for the perception of global flow because a unified direction of motion is perceived; whereas the Winner-Take-All model might be responsible for motion perception under conditions in which more than one motion is perceived (e.g., transparency).
	www.psych.utoronto.ca /~vislab/ssp96.html (1968 words)

	Optical Flow Renderings (Site not responding. Last check: 2007-09-19)
		Optical flow is a measure of the apparent flow of brightness in a sequence of images.
		A flow vector is calculated at points between pixels and between frames of a movie clip.
		A point is drawn at the source of the vector, and the vector itself is drawn.
	www.agarwala.org /Pages/vision.html (215 words)

	Citations: IEEE Transactions on Image Processing - Xu, Prince (ResearchIndex) (Site not responding. Last check: 2007-09-19)
		The use of the GVF vector field avoids some of the limitations of traditional snakes related to initial distance to data and robustness in concave regions.
		....is important to emphasize that despite this history, the ux maximizing ow is a distinct partial di erential equation since the vector eld is not in general a normalized gradient.
		This gradient vector ow eld is derived by minimizing a particular 12 energy functional associated with edges in an intensity image.
	citeseer.ist.psu.edu /context/1973933/0 (1350 words)

	CS6630 Scientific Visualization - Evan Andersen (Site not responding. Last check: 2007-09-19)
		This assignment involved using streamlines to show the motion of the flow through the volume and then using glyphs to mark the direction of the flow.
		The vector magnitude at these locations is low, meaning there is a low speed of flow as compared to the surrounding areas because the flow is colliding.
		Using the curl vector and magnitude, I used streamtubes with varying radius and color mapping, which show areas of high curl magnitude, by thinner tubes and varying colors.
	www.cs.utah.edu /~evan/cs6630/ps5.php (568 words)

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