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Topic: Intersection number

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	Intersection number - Wikipedia, the free encyclopedia
		In mathematics, the concept of intersection number arose in algebraic geometry, where two curves intersecting at a point may be considered to 'meet twice' if they are tangent there.
		In the sense that 'multiple intersections' are limiting cases of n-fold intersections at n points which come into coincidence, one needs a definition of intersection number in order to state theorems about counting intersections in a precise way.
		The requirements of the general theory are to handle intersections in any dimensions, and in algebraic topology as well.
	en.wikipedia.org /wiki/Intersection_number (463 words)

	Intersection Graphs (Site not responding. Last check: 2007-10-08)
		Since every graph is an intersection graph, the intersection number of a graph g is the size of the smallest set s, such that g is the intersection graph of s.
		The number of edges e is an upper bound, using the incident-edge subsets described above.
		The intersection number of a triangle free graph is e.
	www.mathreference.com /gph,inter.html (232 words)

	Problem A: Fire Station (Site not responding. Last check: 2007-10-08)
		The intersections are numbered from 1 to i consecutively.
		A number of lines follow, each containing three positive integers: the number of an intersection, the number of a different intersection, and the length of the road segment connecting the intersections.
		You are to output a single integer: the lowest intersection number at which a new fire station should be built so as to minimize the maximum distance from any intersection to the nearest fire station.
	acm.uva.es /p/v102/10278.html (370 words)

	Access Management and Traffic Safety
		The average number of accidents increases with the number of lanes on the main road and the number of legs at the junction.
		The number of fatal, injury and PDO accidents decreased from 3 to 0, 81 to 72 and 75 to 61 respectively.
		Number of accidents per MVM and density of access points are plotted versus the milepoints at the middle of intervals in two segments for Urban and Rural areas.
	www.ce.pdx.edu /~eghtedaa/TRBVAIL4.htm (6625 words)

	Safety Effectiveness of Intersection Left- and Right-Turn Lanes - Appendix A. Summary of Intersection Safety Studies
		At intersections along rural two-lane highways, installation of a traffic signal and left-turn lane reduced the total number of accidents by 19.7 percent, while the installation of a traffic signal without left-turn channelization reduced the total number of accidents by 6 percent.
		The number of lanes on the major roadway and the crossroad were found to be a significant factor in predicting injury accidents at signalized intersections.
		The number of lanes on the major roadway was found to be a significant factor in predicting injury accidents at unsignalized intersections.
	www.tfhrc.gov /safety/pubs/02089/appa.htm (4895 words)

	[No title]
		Number of people who changed "corner of" to "intersection of" - 8 (Number who kept "corner of" - 2 2.
		Number of people who kept "car started through" [the intersection] - 0 Number who wrote "sped through," "sped into," "fly under," "run," or "go through" - 6 Number who wrote the car went through a light - 6 4.
		Number who said the intersection was filled with "police cars" - 0 Number who said it was filled with "police" - 4 6.
	www.ucs.louisiana.edu /~cgc2646/LRN/Lab3.txt (680 words)

	[No title]
		In this method we count the number of intersections of a ray with all edges of the polygon.
		If the number of edges of the polygon intersected by the ray is even then the point P is outside the polygon, and if the number of intersections is odd then the point P lies inside the polygon.
		We have developed a method which avoids the generation of polygons from the intersection of the triangulated surface and the plane through the point to be tested which is computation complex.
	www.mlahanas.de /CompGeom/Point_in_Poly.htm (1115 words)

	qhalf -- halfspace intersection about a point
		The intersection is the vertices of the original cube.
		Halfspace intersection by the convex hull of 6 points in 3-d: Number of halfspaces: 6 Number of non-redundant halfspaces: 6 Number of intersection points: 8 Statistics for: RBOX c
		The first line is the dimension and the second line is the number of intersection points.
	www.geom.uiuc.edu /~bradb/qhull3.1/html/qhalf.htm (1404 words)

	DCI 2001 Research Program Abstracts - Week 1
		The odd-intersection number of a graph is the least number of labels used in an odd-intersection representation.
		Roberts [1978] showed that the competition number of a chordal graph is less than or equal to one and it seems natural to ask about the competition number of a graph having exactly one hole (a hole is a chordless cycle of length at least 4).
		In this talk, we present the result showing that the competition number of such a graph G is less than or equal to two, and give conditions under which the competition number of G is less than or equal to one.
	dimacs.rutgers.edu /dci/2001/abstractswk1right.html (2607 words)

	Intersection Detection (Site not responding. Last check: 2007-10-08)
		As illustrated, the intersection of nonconvex polygons may be disconnected and have quadratic size in the worst case.
		Intersecting two polyhedra is somewhat more complicated than intersecting polygons, because two polyhedra can intersect even when no edges do.
		Finding the mutual intersection of a collection of half-spaces is a special case of higher-dimensional convex hulls, and Qhull [BDH97] is convex hull code of choice for general dimensions.
	www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK4/NODE191.HTM (1275 words)

	Making Intersections Safer: A Toolbox of Engineering Countermeasures to Reduce Red-Light Running (Site not responding. Last check: 2007-10-08)
		The law as stated in the UVC is considered a permissive yellow law, meaning that the driver can enter the intersection during the entire yellow interval and be in the intersection during the red indication as long as he/she entered the intersection during the yellow interval.
		A two-hour traditional enforcement effort at a highvolume intersection in Raleigh, NC resulted in 36 tickets, which is a rate of 18 violations per hour or an average of one violation about every 3.5 minutes (min.) (5).
		Separate models were developed for the "mainline as entering street" and the "cross-street as entering street." Therefore, a crash where the violating vehicle entered the intersection from the lower-volume road was modeled using "cross-street as entering street" and the mainline road is considered the crossing street.
	safety.fhwa.dot.gov /intersections/rlr_report/chap2.htm (4994 words)

	ipedia.com: Bézout's theorem Article (Site not responding. Last check: 2007-10-08)
		It gives a number that is subject to 'interpretation'; but in any case is a maximum number of intersections that two...
		It asserts that the number of intersections, counted by intersection multiplicity, is precisely mn, except in case X and Y have a common component.
		The definition of intersection multiplicity is given at intersection number.
	www.ipedia.com /bezout_s_theorem.html (557 words)

	Mn/DOT Metro Division - Traffic Engineering - Signals & Lighting Design
		Number vehicle signal faces per phase from near to far and right to left as you approach the intersection.
		Number in a triangle the luminaires clockwise with respect to the controller cabinet with Number 1 being the first luminaire on a signal base.
		Identifying number in a hexagon--begin with number one in the quadrant closest to the cabinet.
	www.dot.state.mn.us /metro/trafficeng/signals/checklst.html (2539 words)

	CSPICE Routines: INELPL_C (Site not responding. Last check: 2007-10-08)
		The intersection of plane and ellipse is sought.
		nxpts is the number of points of intersection of the geometric plane and ellipse represented by plane and ellips.
		If the number of intersection points is zero or infinite, the contents of xpt1 and xpt2 are undefined.
	www.gps.caltech.edu /~marsdata/cspice/inelpl_c.html (508 words)

	Combinatorics Seminar - Fall 2002
		Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane.
		We show that the chromatic number of G is at most 3k-2, where k is the clique number of G.
		The problem reduces to bounding the number of edges in a bipartite graph with no cycles of length divisible by four such that one partite set has size n and the degree of every vertex in the other is k.
	www.math.uiuc.edu /~jozef/seminar/fall2002.html (1461 words)

	Signalized Intersections: Informational Guide (FHWA-HRT-04-091)
		Intersections too small to allow large vehicles to turn left, as well as intersections with medians too narrow to provide a left-turn lane, may also be appropriate locations for jughandles.
		Right-of-way adjacent to the intersection is needed for the left-turn ramps.
		The average number of stops with the CFI was reduced by 15 to 30 percent for under-saturated traffic flows and 85 to 95 percent for saturated traffic flow conditions at the conventional intersection.
	www.tfhrc.gov /safety/pubs/04091/10.htm (9973 words)

	UMTYMP Advanced Topics – Introduction to Combinatorics
		Conversely, every intersection point determines a unique set of four vertices, namely the endpoints of the two diagonals intersecting at that point.
		So the number of intersection points is equal to the number of ways to select 4 vertices from n, which is
		To count all the intersection points we now multiply by the number of vertices n, and divide by 4 to account for the fact that every intersection point involves four vertices and thus is being counted four times.
	www.math.umn.edu /~jhall/courses/2474/hw4sol.htm (427 words)

	SHS Computer Contest 2001
		There are to be bus stops at every intersection and they are to be labeled starting with zero at the first intersection in the NW corner of each city.
		Your program should not allow a user to enter an intersection that is not within the bounds of the city or would require a bus to make a turn to get to the intersection.
		The base ten number 68 is stored in binary as 01000100 by setting the third and seventh (counting from the right) switch to "on" and the rest to "off".
	www.sandusky.k12.mi.us /cs01.htm (1922 words)

	USAMTS Problem 1/1/14
		This is the arrangement utilizing the maximum number of blocks. The numbers in each square represent the height of the stack occupying it.
		The maximum number of blocks satisfying the given conditions is 38.
		To minimize the total number of cubes used, we want to use as few stacks as possible, preferably one per row or column, to generate the given projections’ heights.
	www.mit.edu /people/agustya/Math/1-14.html (1073 words)

	Kane County Chronicle - Online (Site not responding. Last check: 2007-10-08)
		With new, numbered intersections, the hope is the confusion will be a thing of the past.
		Each signalized intersection on Main Street in the city will be numbered, beginning with the entrance to Pheasant Run, and continuing until Main Street and Peck Road on the west side, which will be Number 22.
		Along with their addresses, local business include the number of the intersection in community brochures, Hoge said.
	www.kcchronicle.com /print/299731252569342.php (409 words)

	[No title]
		Each trail approaching the intersection must have a Junction Ahead sign: located 150 — 500 ft from the intersection installed on a signpost off the groomed trail surface to the right side of the snowmobile operator.
		Each trail leading away from the intersection must have a trail number sign (supplied by Parks) that correctly identifies that trail located at a point that is visible from the intersection and far enough down the trail to clearly establish the trail being identified.
		There are four types of intersections, as determined by the trails program funding system: corridor trail with corridor trail corridor trail with secondary trail secondary trail with secondary trail any unfunded trail with a funded trail.
	www.nyssnowassoc.org /trailsfund0405/signguide.doc (922 words)

	The Number of Intersection Points Made by the Diagonals of a Regular Polygon
		The Number of Intersection Points Made by the Diagonals of a Regular Polygon: SIAM Journal on Discrete Mathematics Vol.
		We give a formula for the number of interior intersection points made by the diagonals of a regular n-gon.
		We also compute the number of regions formed by the diagonals, by using Euler's formula V - E + F = 2.
	epubs.siam.org /sam-bin/dbq/article/28124 (141 words)

	The Symmetry of Intersection Numbers in Group Theory (ResearchIndex) (Site not responding. Last check: 2007-10-08)
		The Symmetry of Intersection Numbers in Group Theory
		Abstract: For suitable subgroups of a finitely generated group, we define the intersection number of one subgroup with another subgroup and show that this number is symmetric.
		1 If one considers two simple closed curves L and S on a closed orientable surface F, one can define their intersection number to be the least number...
	citeseer.ist.psu.edu /343196.html (349 words)

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