Edge (geometry) - Factbites

Edge (geometry) - Factbites
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Topic: Edge (geometry)

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	EDGE
		EDGE aims to encourage and facilitate research and training in major areas of differential geometry, which is a vibrant and central topic in pure mathematics today.
		A significant theme which unites the areas that are the subject of this endeavour is the interface with other disciplines, both pure (topology, algebraic geometry) and applied (mathematical physics, especially gauge theory and string theory).
		The members of EDGE are geometers in mathematical centres spreading among most European countries.
	edge.imada.sdu.dk (525 words)

	Physics at Minnesota:
		If the index edge segment label is greater than the total number of edge segments, it indicates that the total number of edge segments should be subtracted from the contents to get the edge segment label number and the drawing direction is opposite to the one given by the Decomposed Geometry matrix.
		The CSG model is represented by the Geometry Description matrix, and the decomposed geometry is represented by the Decomposed Geometry matrix.
		Each column in the Geometry Description matrix corresponds to an object in the CSG model.
	www.physics.umn.edu /support/doc/matlab/toolbox/pde/decsg.html?printer=yes& (525 words)

	GAMBIT COMMAND REFERENCE GUIDE: 2. GEOMETRY COMMANDS, 2.2
		To reduce the complexity of an edge by replacing its geometry definition with a simple NURBS representation.
		GAMBIT geometry edge commands allow you to create and manipulate edges.
		Specifies scaling all geometry connected to the edge
	www.ent.ohiou.edu /~juwt/HTMLS/fluent/gambit2/html/command_reference/cr0202.htm (525 words)

	Combinatorial Solid Geometry, Boundary Representations, and Non-Manifold Geometry
		The application will have no knowledge of the underlying primitives used to describe the objects in the database, nor will the application be aware that the library creates the surface description by extracting the objects from the geometry database, tessellating them into NMG solids, and then combining them via boolean formulas.
		The unique members of this structure are ``eu_p'' which is a pointer to one of the uses of the edge, and ``eg_p'' which is a pointer to the edge geometry.
		For example, the geometry information associated with a planar face is the plane equation which includes the outward-pointing surface normal; the plane equation does not have to be re-derived from the vertices.
	ftp.arl.mil /~mike/papers/90nmg/joined.html (525 words)

	Reversible kinetics in a channel flow cell geometry
		The differences arise since the transport in the channel geometry is inherently two-dimensional, typically with an effectively thinner diffusion layer at the upstream edge of the electrode than at the downstream periphery; under steady-state and Lévêque conditions [24] the diffusion layer thickness varies with the cube root of distance along the electrode [26].
		However, as noted above, much ASV is usefully conducted under flowing conditions where the current density will, as a result of the influx of fresh electroactive material, be greater at the upstream edge of the electrode than at the downstream edge.
		Moreover for many applications it is important that the electrode is located within a flow system to permit continuous monitoring and to enhance the speed of the analysis.
	physchem.ox.ac.uk /~rgc/research/ea/comp/cfc.shtml (525 words)

	vuVolume: MarchingCubesBase Class Reference
		Each edge is associated with a bit in the type integer where the position of the bit corresponds with the nomber of the edge in the above given geometry.
		The type of a cube is calculated by testing every edge vertex of the cube against the threshold saved in _thres.
		The variable _vertOffset defines the cube geometry which (according to the actual values in _vertOffset) is:
	www.cg.tuwien.ac.at /courses/projekte/vis/finished/MTrenkwalder/docu/classMarchingCubesBase.html (525 words)

	Patent 5412239: Contact geometry for improved lateral MOSFET
		In the metal contact structure of this invention, the cross-sectional area of the metal contact is maximized, while the minimal clearance between both the edge of the gate and the edge of a diagonal metal line is maintained.
		A geometry for the metal contacts in a lateral MOSFET is disclosed.
		Patent 5412239: Contact geometry for improved lateral MOSFET
	www.freepatentsonline.com /5412239.html (525 words)

	Fractal Geometry - A Gallery of Monsters
		The fractal boundary is the edge between the central blue 'sea' and the rest of the picture.
		If we zoom in to this edge we obtain all the wondrously detailed fractal images that you may have already seen.
		The attractors we find are determined by their position in the sea, the centre cardioid is a point attractor, the smaller one to the left is a 2-cycle, next to that a 4-cycle is found, the cardioids at the top and bottom (called bulbs) usually have odd number cycles.
	www.calresco.org /fractal.htm (1275 words)

	Chord Definition
		The chord length is the distance from the leading edge to the trailing edge of the airfoil.
		The chord line is a straight line connecting the leading and trailing edges of an airfoil.
		This doesn't appear in the input list but is an important definition in airfoil geometry.
	www.lerc.nasa.gov /WWW/K-12/aerosim/Manual/fsim001u.htm (48 words)

	Solution 34: Synthetic Geometry
		As with the cube geometry, any maximal flag consists of three elements: a polygonal region, an edge belonging to the boundary of the region, and a vertex belonging to the boundary of the edge.
		Our geometry can then be seen to have rank 3.
		is a geometry, since if element x is contained by the clsoure of element y, then we can write either
	home.wlu.edu /~mcraea/Finite_Geometry/Quadrangles/Prob34SynGeometry/Solution34.htm (119 words)

	Spherical Geometry
		In particular this means that each edge of a polyhedron determines and arc of a great circle, since the two end points of an edge lie on the surface of the sphere.
		The shortest path from one point to another on a spherical surface is along the arc of a great circle.
		Each plane polygon that is a face of the polyhedron is thus transformed into a spherical polygon that is a face of the spherical polyhedron.
	www.ul.ie /~cahird/polyhedronmode/newpage2.htm (359 words)

	EEBE540 - Digital Computer Processing of Images
		Finite-extent point-spread functions, zero-phase filters, noise reduction and edge enhancement by linear and nonlinear filtering, structured noise removal.
		The design of spatial filters for noise reduction, image sharpening and edge enhancement, and some discussion of interpolation techniques.
		Sampling theory, rectangular and nonrectangular sampling geometries, interpolation in the spatial and frequency domains, the reconstruction of a continuous image from its samples, direct and fast algorithms.
	www.ee.ualberta.ca /courses/EEBE540.html (242 words)

	IGIDS Training Manual - Overview of IGIDS
		Alternately, the user may define the intersection geometry by pointing at selected elements in a reference file created by another source, such as a topographical map of the area (with optional use of a superimposed aerial photo).
		Each leg IGIDS object has an alternative parent pointer, a list of centerline segments, a list of inbound lanes, a list of outbound lanes, a list of inner edge curb return segments, a list of outer edge curb return segments, and other leg data.
		Relational geometry refers to the fact that the only absolute coordinate needed by IGIDS is the center of the intersection.
	www.ce.utexas.edu /prof/rioux/igids/overview.htm (242 words)

	Origins of Geometry
		Just after Anaxagoras died in 428BC there was a plague and to stop the plague the Athenians decided that the size of the cubical altar to Apollo had to be doubled - led to the famous problem - "construct with compasses and straight edge the edge of a 2nd cube having double the volume".
		Serious deficiency in Egyptian geometry - lack of clear cut distinction between relationships that are exact and those that are approximate only.
		Ahmes said the area of circular field diameter 9 = area of square with side 8.
	www.scit.wlv.ac.uk /university/scit/modules/mm2217/og.htm (596 words)

	Tupolev Tu-160 Blackjack
		The variable geometry wings have full span leading edge slats and double slotted trailing edge flaps, while the airframe is free of any protuberances (except for a small video camera window for the pilots).
		The Tu-160 is characterized by low-mounted, swept-back, and tapered, variable geometry wings with large fixed-center section.
		Wing span wings extended 55.70m (182ft 9in), wing span wings swept 35.60m (116ft 9in), length 54.10m (177ft 6in), height 13.10m (43ft 0in).
	users.bart.nl /users/wbergmns/info/tu160.htm (596 words)

	Tomcat Info
		upper wing near the trailing edge in conjunction with its all-moving,
		The final prototype of the F-14 took off on May 24th, 1971, with its variable-geometry wings for speed and greater
		leading edge of the fixed portion of the wing extend to move the
	www.geocities.com /havana1320/info.html (596 words)

	U Seek U Find - Family - School
		HyperCard stack dealing with geometry - Geometry and Art Program that you can download from this page.
		Graph Theory is the branch of mathematics that involves the study of graphs.
		Graph Theory through games that can be played on a table or on the playground.
	www.useekufind.com /pschoolw.htm (596 words)

	Math Forum - Geometry Problem of the Week
		Also: The cross section would be an isosceles traperzium if two pairs of adjacent corners of the rectangle is move toward an edge (one of the non-connected point's edge), while the the other pair stay.
		Math Forum - Geometry Problem of the Week
		This is a bit like a problem we used earlier this year - a little bit of geometry based on a surprising and interesting fact.
	mathforum.org /geopow/archive/19970613.geopow.html (596 words)

	Basic Light Reflection Model
		Three sides of a shadow polygon are defined by a silhouette edge of the object and the two lines emanating from the light source and passing through that edge's endpoints.
		Thus, since the shadows are not dependent on the viewpoint, all the shadow calculations may be performed just once for a series of images of the same objects seen from many different viewpoints, as long as the light source and objects are fixed.
		Relative to the observer, a front-facing shadow polygon (polygon A or B) causes those objects behind it to be shadowed; a back-facing shadow polygon (polygon C) cancels the effect of a front-facing one.
	www-viz.tamu.edu /faculty/parke/ends489f01/notes/sec7_5.html (5237 words)

	Edge
		Other topics Edge worked on, all of which exhibit his mastery of the subject, include nets of quadric surfaces, the geometry of the Veronese surface, Klein's quartic, Maschke's quartic surfaces, Kummer's quartic, the Kummer surface, Weddle surfaces, Fricke's octavic curve, the geometry of certain groups, finite planes and
		Edge's fellow students included P du Val and J G Semple but other famous geometers joined the group while Edge was at Cambridge including the slightly younger men H S M Coxeter and J A Todd.
		Edge was not someone uninterested in modern techniques, however, and it may come as a surprise to some that in a 1991 paper he included computer-drawn pictures.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Edge.html (1212 words)

	Edge detection - Wikipedia, the free encyclopedia
		Edges may be viewpoint dependent - these are edges that may change as the viewpoint changes, and typically reflect the geometry of the scene, objects occluding one another and so on, or may be viewpoint independent - these generally reflect properties of the viewed objects such as surface markings and surface shape.
		Edge detection of an image reduces significantly the amount of data and filters out information that may be regarded as less relevant, preserving the important structural properties of an image.
		Edge detection is a research field within image processing and computer vision, in particular within the area of feature extraction.
	en.wikipedia.org /wiki/Edge_detection (1373 words)

	cube (geometry)
		In geometry, a solid shape whose faces are all squares.
		The faces on a cube are all squares while the faces on a cuboid are all rectangles.
		It has 6 equal-area faces and 12 equal-length edges.
	www.tiscali.co.uk /reference/encyclopaedia/hutchinson/m0006664.html (1373 words)

	Combinatorial Solid Geometry, Boundary Representations, and Non-Manifold Geometry
		Therefore, the conclusion was that the existing combinatorial solid geometry database would remain unchanged, and that any application that required an explicit representation of the modeled shapes would obtain that explicit representation through some form of conversion of the underlying CSG database.
		For example, the geometry information associated with a planar face is the plane equation which includes the outward-pointing surface normal; the plane equation does not have to be re-derived from the vertices.
		Conversion of a faceted primitive solid will be exact, with each face, edge, and vertex of the NMG representation one-to-one with a topological element in the original representation.
	ftp.arl.mil /~mike/papers/90nmg/joined.html (20066 words)

	blade.txt
		The geometry, between the lack of belly and the quickly-thickening edges, is not good for slicing/slashing.
		Point controllability is excellent, and the point is strong (but dull if not double-edged), and with the point so low the belly is rather small.
		It's a clip point design, with a false edge that is sometimes sharpened.
	www.sff.net /people/pff/blade.txt (5041 words)

	AllRefer.com - circle (Mathematics) - Encyclopedia
		Greek geometry left many unsolved problems about circles, including the problem of squaring the circle, i.e., constructing a square with an area equal to that of a given circle, using only a straight edge and compass; it was finally proved impossible in the late 19th cent.
		In modern mathematics the circle is the basis for such theories as inversive geometry and certain non-Euclidean geometries.
		In religion and art it frequently symbolizes heaven, eternity, or the universe.
	reference.allrefer.com /encyclopedia/C/circle.html (431 words)

	cone (geometry)
		The distance from the edge of the base of a cone to the vertex is called the slant height.
		In geometry, a pyramid with a circular base.
		A right circular cone is generated by rotating an isosceles triangle about its line of symmetry.
	www.tiscali.co.uk /reference/encyclopaedia/hutchinson/m0006655.html (431 words)

	Edge Detection - Tutorial - Development Library - National Instruments
		Edge orientation: The geometry of the operator determines a characteristic direction in which it is most sensitive to edges.
		Classical methods of edge detection involve convolving the image with an operator (a 2-D filter), which is constructed to be sensitive to large gradients in the image while returning values of zero in uniform regions.
		You can define the edge to be located at the beginning of the gradient (where it first exceeds the contrast threshold), at the end of the gradient, or anywhere between the two.
	zone.ni.com /devzone/conceptd.nsf/webmain/37BF3B76F646EF5286256802007BA00F (843 words)

	Math WASL questions
		If he starts unrolling the sod at one corner of the square and continues unrolling it around the edge, working his way toward the center, how many trips around the square will he make with the sod?
		He must cover an area 40 feet square, but he wants to leave a square in the center of the lawn, equaling one fourth of the total area.
		The floor of a storage shed is a rectangle with an area of 99 square feet.
	www.pasd.wednet.edu /school/mathWASL/7c.htm (1177 words)

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Topic: Edge (geometry)

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