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	Cone - Wikipedia, the free encyclopedia
		The cone of an arbitrary set X means the union of all line segments connecting a fixed point to points of X.
		Cone (topology), in topology, coning may be applied to a topological space
		Cone graph, in graph theory, a graph with a universal vertex
	en.wikipedia.org /wiki/Cone (375 words)

	Cone (topology) - Wikipedia, the free encyclopedia
		In topology, especially algebraic topology, the cone CX of a topological space X is the quotient space:
		The cone over a disk is the solid cone of classical geometry (hence the concept's name).
		The cone is used in algebraic topology precisely because it embeds a space as a subspace of a contractible space.
	en.wikipedia.org /wiki/Cone_(topology) (307 words)

	Safety Cones -- Recommendations and Resources
		Volcanic cones are of different types, depending upon the nature and size of the fragments ejected during the eruption.
		A spatter cone is formed of ''spatter'': molten lava ejected from a vent.
		A cinder cone is a volcanic cone built almost entirely of loose volcanic fragments called cinders (pumice, pyroclastics, or tephra).
	www.becomingapediatrician.com /health/128/safety-cones.html (1127 words)

	Cone -- from Wolfram MathWorld
		In general, a cone is a pyramid with a circular cross section.
		The opening angle of a right cone is the vertex angle made by a cross section through the apex and center of the base.
		In addition, the locus of the apex of a cone containing that hyperbola is the original ellipse.
	mathworld.wolfram.com /Cone.html (409 words)

	Topology
		Topology is a branch of pure mathematics that deals with the abstract relationships found in geometry and analysis.
		The study of topology requires a solid background in calculus and a facility with logic and proofs.
		A square, a disk, and a cone are topologically equivalent.
	www.stetson.edu /~mhale/topology/index.htm (462 words)

	Crystallographic Topology 101 - Orbifold 1
		Orbifold cone points are derived from a rotation axis that does not lie in a mirror, as illustrated in the top row of Fig 2.1.
		A sphere may be constructed by gluing the non-silvered edges of two or more cones together, and a disk by gluing together the bases of two or more of the silvered edge disk fragments such as that shown in Fig 2.1.
		Cone points are given as 2, 3, 4, and 6.
	www.ornl.gov /ortep/topology/orbfld1.html (2624 words)

	Cone dystrophy - cone rod dystrophy
		In vertebrate cone dystrophy anatomy, a cone cell is a type of light-sensitive cell found along with rods in the retina of the eye.
		A traffic cone is a brightly colored cone-shaped plastic object commonly cone rod dystrophy used as a temporary traffic barrier or warning sign.
		To 'smoke a cone', using a bong and a Conepiece is a term used by Marijuana smokers.
	www.medicalgeo.com /Med-Diseases-Ci---Cy/Cone-dystrophy.html (539 words)

	Topologies on Minkowski Space-Time, by Strashimir G. Popvassilev
		S", or T" The fine topology on M, proposed by Zeeman in [2], is the finest topology on M which induces the 3-dimensional Euclidean topology on every space-axis and the 1-dimensional Euclidean topology on every time-axis.
		The main result of Zeeman paper states that the group of all auto-homeomorphisms of the fine topology is generated by the Lorentz group (of all Lorentz transformations), translations and multiplications by scalars.
		Lorentz group, the causal structure, various modifications of Zeeman topology, some groups of transformations which preserve certain subsets of the space-time - for example light cones or time like arcs) were investigated in [6], [7], [8], [9], [10], [11], [12], [13], and [14] where a number of additional references is given.
	at.yorku.ca /t/a/i/c/28.htm (1827 words)

	[No title]
		Topologies on Minkowski Space-Time Strashimir G. Popvassilev The Earth, the Sun, the stars and all the matter in the space - the Universe - move and change continuously.
		The future time cone at (X,Y,Z,T) consists of all points which can be reached by a signal from (X,Y,Z,T) of speed less than the speed of light.
		The time cone at (X,Y,Z,T) is the union of the future time and past time cones at (X,Y,Z,T); the light cone at (X,Y,Z,T) is the union of the future light and past light cones at (X,Y,Z,T).
	at.yorku.ca /t/a/i/c/28.txt (1388 words)

	Dynamics of Axonal Microtubules Regulate the Topology of New Membrane Insertion into the Growing Neurites -- Zakharenko ...
		The delay between the staining of the cell body and accumulation of the vesicles at the distal axon is likely to reflect the time required for the fast axonal transport of the vesicles.
		Notice a gradual increase in the diffuse staining of the vesicle-free peripheral growth cone.
		For each neuron the intensity of the plasma membrane staining at the growth cone region was determined as an average for at least 20 filopodia.
	www.jcb.org /cgi/content/full/143/4/1077 (6042 words)

	[No title]
		Contemporary Mathematics The A-Category and A-Cone Length of a Map Martin Arkowitz, Donald Stanley and Jeffrey Strom Abstract.For any collection A of spaces we define two numerical invari- ants of maps: LA(f), the A-category of f, and LA(f), the A-cone length of f.
		In this paper we simultaneously generalize both of these notions by defining the category and cone length of a map f relative to a collection A, denoted LA * (f) and LA (f) and called the A-category and A-cone* length of f, respectively.
		Y is a mapping cone sequence with A 2 A, then `A (f) 1; (5) (Equivalence Axiom) If f is homotopy equivalent to g, then `A (f) = `A * *(g).
	www.math.purdue.edu /research/atopology/Arkowitz-Stanley-Strom/Length1.txt (3131 words)

	[No title]
		For this course, the emphasis will be on the geometry and topology of toric varieties, and the construction of mirror pairs from toric varieties.
		A cone is considered as a face of itself, while others are called proper faces.
		The topological bondary of a polyhedral cone is the union of all its facets.
	www.math.sunysb.edu /~bzhang/toric-note.txt (1065 words)

	Crystallographic Topology - Critical Nets 2
		However, local topology may not be adequate to differentiate two closely related structures, such as fcc and hcp.
		But now we have to double everything that was lying on the hemisphere surface where the mirror was located so we now have a cone with an antipodal identification operation on the cone's surface, which means the boundary cone is now a projective plane.
		The resulting underlying space is half bounded by a mirror and half by a projective plane with a suspension point at the cone apex; thus it may be called a singly suspended silvered ball.
	www.ornl.gov /sci/ortep/topology/Acritnet2.html (2299 words)

	LI LI's Projects Page
		In ad hoc wireless networks, various topology control algorithms have been proposed to reduce the transmission range of nodes based on local information and yet maintain a connected topology.
		We have designed an analytical framework for evaluating the performance of topology control algorithms using overall network throughput, and total energy consumption per packet delivered, as the metrics.
		The topology of a wireless multi-hop network can be controlled by varying the transmission power at each node.
	www.cs.cornell.edu /lili/projects.html (1628 words)

	Lab Analysis: Fostex NF-1A Active Monitor
		Harry olson used these principles to design a similar complex-topology loudspeaker cone for the RCA LCA-1A studio monitor and JVC also introduced a speaker system using a similar woofer cone in the 1970s.
		The HP cone offers extended bandwidth (no puckering on the extreme low frequencies and reduced breakup on the high end) and the cone and surround allow this transducer to operate well past 5 kHz.
		Besides the cone technology, the major highlight of this monitor is its very low distortion.
	mixonline.com /mag/audio_lab_analysis_fostex/index.html (803 words)

	A topological question
		If repeated patterns, "circles in the sky", were to be found in the CMB radiation that would be evidence of a closed universe.
		Try a cone, not only is it spatially finite, and so explains the large angle anisotopry deficiency but if of a large enough size would not necessarily show any detectable "circles in the sky", and is conformally flat, so it would be concordant with all the major WMAP features.
		In the absence of such repeated patterns in the sky it might seem a little extravagant to invoke multiple-connected topologies, when a simply connected cone - the freely coasting closed universe - would do just as well.
	www.physicsforums.com /showthread.php?t=57386 (1154 words)

	Dandelin's Spheres (PRIME)
		lassically, conic sections (the ellipse, parabola, and hyperbola) are defined by the intersection of a plane with a cone.
		As a conic section, an ellipse is the intersection of a cone and a plane whose angle to the vertical is larger than that of the generator of the cone.
		Evidently, as we would expect, the tangent curve between a sphere and a cone is a circle, one whose every point is equidistant from the vertex of the cone.
	www.mathacademy.com /pr/prime/articles/dandelin/index.asp (689 words)

	[No title] (Site not responding. Last check: 2007-09-18)
		This cone is the convex hull of two 20-sided polygons and a cospherical point.
		The cone with the small square facets is the convex hull of two cospherical polygons and an apex.
		The dual points for the second cone's facets are the vertices of the first cone.
	www.scienceu.com /library/graphics/indices/INDEX (6905 words)

	Geometry and Topology - Numericana
		The area of a trapezoid is the arithmetic average (i.e., the half-sum) of its two parallel bases multiplied by its height (the height is the distance between the bases).
		Background : The so-called general quadratic equation you are giving describes planar curves which are known as conic sections, for historical reasons (the "ordinary" ones are obtained as the the intersection of a plane and a full cone, defined as the surface generated by a straight line rotating around an axis that intersects it).
		A conic section may be an ellipse (possibly a circle), a parabola, or a hyperbola.
	home.att.net /~numericana/answer/geometry.htm (7726 words)

	CLTC: A Cluster-Based Topology Control Framework for Ad Hoc Networks (Site not responding. Last check: 2007-09-18)
		The topology of an ad hoc network has a significant impact on its performance in that a dense topology may induce high interference and low capacity, while a sparse topology is vulnerable to link failure and network partitioning.
		Topology control aims to maintain a topology that optimizes network performance while minimizing energy consumption.
		In this paper, we present the CLTC framework; describe topology control algorithms based on CLTC and prove that k-connectivity is achieved using those algorithms; analyze the message complexity of an implementation of CLTC, namely, CLTC-A, and present simulation studies that evaluate the effectiveness of CLTC-A for a range of networks.
	csdl2.computer.org /persagen/DLAbsToc.jsp?resourcePath=/dl/trans/tm/&toc=comp/trans/tm/2004/01/h1toc.xml&DOI=10.1109/TMC.2004.1261814 (575 words)

	[No title]
		CHANGING THE DEFINITIONS: CONE POINTS If a symmetric plane pattern has a gyration point of order n, the angles at the corresponding point (a ``cone point'') in the associated surface will sum only to 360/n.
		Henceforth, the_local angle defect_ at a cone point of order n shall equal 360/n - (sum of all the angles at the point) and now we shall call a surface_flat_ when when all its _local angle defects_ (in this new sense) equal 0.
		Euler's formula tells us that we can determine V - E + F just from the topology of a surface (knowing how many handles, holes, mobius strips, cone points and corner points we have to add to a sphere to manufacture the surface).
	www.math.unh.edu /~dvf/Pathways/Lecture_6 (1553 words)

	Geometry and Topology, Volume 6 (2002)
		Let O be a three-dimensional Nil–orbifold, with branching locus a knot Σ transverse to the Seifert fibration.
		We prove that O is the limit of hyperbolic cone manifolds with cone angle in (π-ε,π).
		As a corollary of this, we find examples of spherical cone manifolds with singular set a knot that are not locally rigid.
	www.msp.warwick.ac.uk /gt/2002/06/p024.xhtml (83 words)

	Department of Physiology and Biophysics, University of Calgary
		Until recently, NCKX was thought to have a rather exclusive tissue distribution limited to vertebrate retinal rod and perhaps cone photoreceptors.
		In the past three years we have cloned retinal rod and cone NCKX cDNAs from various species including human, and developed heterologous systems and analytical techniques suitable for quantitative analysis of expressed NCKX proteins.
		Kinjo, T.G., Szerencsei, R.T., Winkfein, R.J., Kang, K.-J. and Schnetkamp, P.P.M. (2003) Topology of the retinal cone NCKX2 Na/Ca-K exchanger.
	www.ucalgary.ca /UofC/faculties/medicine/PHBI/faculty_schnetkamp.html (949 words)

	CAIDA : analysis : topology : rank_as
		The size of the AS customer cone in terms of the number of ASes in the cone is a coarse measure since individual AS sizes can be drastically different.
		The prefix customer cone of an AS is the union of its own prefix set and the prefix set of all the ASes in its AS customer cone.
		The number of /24 prefixes in the cone better captures the contribution from smaller ASes that use and advertise smaller portions of IP address space.
	www.caida.org /analysis/topology/rank_as (2164 words)

	Juan Souto: papers and preprints (Site not responding. Last check: 2007-09-18)
		Dense embeddings of surface groups, with E. Breuillard, T. Gelander and P. Storm, to appear in Geometry and Topology.
		Dynamics of the mapping class group action on the variety of SL_2C characters,, with P. Storm, Geometry and Topology 10, 2006.
		Rank and topology of hyperbolic 3-manidolds I, preprint 2006.
	www.math.uchicago.edu /~juan/papers.html (291 words)

	Publication List (Site not responding. Last check: 2007-09-18)
		Some of Daverman's wild strongly homogeneous Cantor sets are slippery, Proceedings of the Tenth Annual Workshop in Geometric Topology, Corvallis, Oregon, June 10-12, 1993, 39-42.
		Manifolds with non-stable fundamental groups at infinity, Geometry and Topology 4(2000), 537-579.
		Manifolds with non-stable fundamental groups at infinity, II, Geometry and Topology 7(2003), 255-286 (with F. Tinsley).
	www.uwm.edu /~craigg/publist.html (249 words)

	Conics (PRIME)
		Although to most people the word “cone” conjures up an image of a solid figure with a round base and a pointed top, to a mathematician a cone is a surface, one which is obtained in a very precise way.
		Notice that a cone has an upper half and a lower half (called the nappes), and that these are joined at a single point, called the vertex.
		Second, our plane may have exactly the same angle to the vertical axis as the generator of the cone, so that it is parallel to the side of the cone.
	www.mathacademy.com /pr/prime/articles/conics/index.asp (2207 words)

	preprints
		Non compact Euclidan cone 3-manifolds with cone angles less than 2 pi.
		Heusener, J. Porti, Algebraic and Geometric Topology 5 (2005), 965--997.
		Regenerating hyperbolic and spherical cone structures from Euclidean ones.
	mat.uab.es /~porti/preprints.html (105 words)

	Scholarly Interests of the Faculty and Faculty Fellows, Rice University
		Robin Forman "The Euler Characteristic is the unique locally determined numerical invariant of finite simplicial complexes which assigns the same number to every cone." Discrete and Computational Geometry, 23 (2000): 485-488.
		Robin Forman "Applications of combinatorial differential topology." Proceedings of the SullivanFest, a conference in honor of Dennis Sullivan's 60th birthday (to appear).
		Robin Forman "Combinatorial Differential Topology and Geometry." New Perspectives in Algebraic Combinatorics, 38 (1999): 177-206.
	cohesion.rice.edu /administration/fis/report/FacultyDetail.cfm?DivID=1&DeptID=50&RiceID=772 (1338 words)

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