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	Flag manifold - Wikipedia, the free encyclopedia
		In mathematics, a flag manifold (or flag variety) is the set of all flags in a finite-dimensional vector space V.
		The flag variety on V is naturally a projective variety.
		The standard flag associated with this basis is the one where the ith subspace is spanned by the first i vectors of the basis.
	en.wikipedia.org /wiki/Flag_manifold (644 words)

	NCCIA (Site not responding. Last check: 2007-10-24)
		The variety is resistant to stem and leaf rust, powdery mildew, and stripe rust.
		The variety is resistant to leaf rust, powdery mildew, soil borne wheat and wheat spindle streak mosaic viruses, Septoria blotch, and tan spot.
		The variety is moderately resistant to Septoria blotch, soil borne wheat and wheat spindle streak mosaic viruses.
	www.nccia.ncsu.edu /default.aspx?module=VarietyInfo&Crop=Wheat (2530 words)

	Flags of the Confederate States of America - Wikipedia, the free encyclopedia
		This flag, however, had its own problem: when the battlefield was windless, it was sometimes mistaken for a flag of truce or surrender because the white field often concealed the first quarter.
		Most famously, the "Bonnie Blue Flag" (which actually dated from the short-lived Republic of West Florida in 1810), was used as an early flag of Texas in 1836, and was used as an unofficial flag during the early months of 1861.
		The battle flag of the Confederacy is square, of various sizes for the different branches of the service: 48 inches square for the infantry, 36 inches for the artillery, and 30 inches for the cavalry.
	en.wikipedia.org /wiki/Stars_and_Bars (2174 words)

	Kerry McCoy's Blog - Owner of FlagAndBanner.com (Site not responding. Last check: 2007-10-24)
		So after a flag that flew over the US headquarters in Afghanistan was retired, the grandson packed it up with a plaque and sent it to his grandfather and his ex-American Prisoner of War Association in Tulsa.
		For flags that can't be lowered, such as those on many homes, the American Legion says attaching a fl ribbon or streamer to the top of the flag is an acceptable alternative.
		The Flag is carefully folded into the shape of a tri-cornered hat, emblematic of the hats worn by colonial soldiers during the war for Independence.
	bannerisms.com /monthlist_html?year=2004&month=6 (989 words)

	NCCIA (Site not responding. Last check: 2007-10-24)
		The variety is susceptible to Crown and stem rust, but is resistant to soil-borne mosaic and culm rot.
		The variety is resistant to white grub and Streptomyces soil rot and is susceptible to root-knot nematode.
		It is susceptible to Fusarium wilt, Streptomyces soil rot (pox) and the souther
	www.nccia.ncsu.edu /default.aspx?module=VarietyInfo (4940 words)

	[No title]
		FLAG VARIETY COXETER COMPLEX \ / \ / \ / \ / \ / \ / \ / q-POLYNOMIAL We start with a Dynkin diagram and see what we can do with it; we'll find that two separate routes lead to the same polynomial, which for lack of a better name I'll call the "q-polynomial".
		Here the "Bruhat decomposition" is a standard way of writing the flag variety as a disjoint union of "i-cells", that is, copies of F^i where F is our field and i is a natural number.
		in flag variety = = Euler characteristic of
	math.ucr.edu /home/baez/twf_ascii/week186 (2951 words)

	University of British Columbia Algebraic Geometry Seminar (Site not responding. Last check: 2007-10-24)
		Hessenberg varieties are naturally paved by the intersection of a Bruhat decomposition with the Hessenberg variety.
		The study of singularities of Schubert varieties in the flag manifold involves interesting interplay between algebraic geometry, representation theory and combinatorics.
		Gorensteinness is a measurement of the ``pathology'' of the singularities of an algebraic variety; it logically sits between smoothness and Cohen-Macaulayness.
	www.math.ubc.ca /~shapiro/alg-geom.html (873 words)

	Red Flag
		Red Flag, a realistic combat training exercise involving the air forces of the United States and its allies, is conducted on Nevada's vast bombing and gunnery ranges.
		The Air Force now schedules Red Flag participation to coincide with AEF rotations, so units are able to train night and day in a realistic environment and with the same units they will fly with while deployed.
		Red Flag was established in 1975 as one of the initiatives directed by Gen. Robert J. Dixon, then commander of Tactical Air Command, to better prepare forces for combat.
	www.globalsecurity.org /military/ops/red-flag.htm (1245 words)

	CollectingChannel.com November 11th, 1922 Largest U.S. Flag Displayed (Site not responding. Last check: 2007-10-24)
		The earliest predecessor of our modern flag is the "Betsy Ross" original stars and stripes version (1777), with thirteen alternating red and white stripes, a blue field and a circlet of thirteen white stars.
		Even most vintage flags from the past 50 years bear the badges of good, hard service in the form of assorted stains and tears, but this can also add a lot of character.
		Vexillophiles, or "flag hobbyists,’ span the globe in hundreds of smaller specialty clubs and organizations dedicated to the pursuit of "vexillology," the study of flag history and symbolism.
	www.collectingchannel.com /cdsDetFeat.asp?PID=111484&CID=43 (968 words)

	Flag Fables, garden flags, appliqué, printed flag, gifts, art, Toland, Springfield, MA
		Flag Fables, garden flags, appliqué, printed flag, gifts, art, Toland, Springfield, MA Flag Fables offers only the finest quality printed and appliqué flags, flag poles and accessories for flag fliers across the country.
		Flag Fables' appliqué flags are crafted using the highest quality polyester/cotton fabric.
		Mid Size Flags - 28" x 40" - This is smaller than the original size, also made with a sleeve hem and leather tabs, and perfect for adding a decorative touch to smaller areas.
	www.flagfables.com /about.htm (796 words)

	BoatersWorld.com - Annin Missouri State Flag (Site not responding. Last check: 2007-10-24)
		All the fabrics used in Annin flags are made to strict specifications developed from extensive research, testing and long experience.
		A variety of flag materials satisfy specific durability requirements, budgets, appearance needs and weather resistance in all climates.
		Flag construction combines the finest quality materials with the industry's most skillful sewing and embroidery.
	www.boatersworld.com /product/367500782.htm (156 words)

	Red Flag
		From the very start--and that date was Nov. 29, 1975--Red Flag has been at the forefront of the Air Force drive to dominate the enemy in air combat operations.
		The first Red Flag exercise, which took place 25 years ago this month, opened the pathway to a radically new type of fighter training, one that in no small way helped forge the professional Air Force that today sets the world standard.
		Red Flag, which was developed to help the Air Force "train as it fights," is a simulated combat training exercise that pulls in the air forces of the United States and allies.
	www.afa.org /magazine/nov2000/1100redflag.asp (3368 words)

	PlanetMath: flag variety
		associated to this data is the set of all flags
		In particular, the complete flag variety is isomorphic to
		This is version 2 of flag variety, born on 2003-02-13, modified 2003-08-21.
	planetmath.org /encyclopedia/FlagManifold.html (104 words)

	About Flag World, Makers of Flags and Flag Related Items
		Flag World of Nashville is a family owned and operated business located in downtown Nashville, TN (Music City, USA).
		In addition, we carry a large variety of flag related products such as lapel pins, patches, decals/stickers, mugs, license plates, key chains and flag t-shirts.
		Custom flags along with indoor and outdoor flag poles and flag sets are also available.
	www.flagworldamerica.com /aboutus.html (190 words)

	Open Directory - Shopping: Home and Garden: Flags and Banners (Site not responding. Last check: 2007-10-24)
		Flags of Choice - Offers a wide variety of flags and accessories including sports team, nautical, and country flags.
		Flags on Cars - American flags and accessories in various forms and sizes, with an emphasis on automotive displays.
		Fred's Flags - Provides US and international flags in many sizes and fabrics as well as a line of accessories including poles, lighting, hardware, memorial cases, and table bases.
	dmoz.org /Shopping/Home_and_Garden/Flags_and_Banners (2464 words)

	Papers, Theses, Software,... by Alexander Yong
		Lecture notes on the K-theory of the flag variety and the Fomin-Kirillov quadratic algebra (with C. Lenart), 2004.
		We contribute to the study of the Fomin-Kirillov quadratic algebra, in connection with the Schubert calculus of the flag variety.
		We construct a commutative subalgebra and explain the (conjectural) connection to the K-theory ring of the flag variety and the associated Schubert structure constants.
	www.math.umn.edu /~ayong/papers.html (2160 words)

	Flags of the World (Site not responding. Last check: 2007-10-24)
		US Flag Ceremonies is a list of a variety of flag ceremonies for various situations.
		US Flag Code is the portion of the U.S. Code that describes official procedure and etiquette dealing with the United States Flag.
		Flag Resources is a list of links on the World Wide Web related to Flags and related material.
	pages.sbcglobal.net /galemon/portfolio/flags/information (105 words)

	[No title] (Site not responding. Last check: 2007-10-24)
		These spaces run the gamut from flag varieties and degeneracy loci for vector bundle morphisms to toric varieties and Hilbert schemes.
		Knutson-Miller-Shimozono degenerations of matrix Schubert varieties and quiver loci to explain the positivity of Schubert polynomials and prove positivity for the Buch-Fulton quiver polynomials in Chow cohomology.
		Speyer's degeneration of the apiary ("triple flag") variety to the hive toric variety to explain geometrically the Knutson-Tao honeycomb description of Littlewood-Richardson numbers.
	www.math.umn.edu /~ezra/AG05/titleAbstract (347 words)

	Paintball Variety - Paintball Game Variations - DirectPaintball.com
		This rule can be altered so that if the flag carrier is tagged, then the flag must be dropped on the ground and the player must leave the field, or the player must stand still with the flag hanging off his hand, and not fire at any other player.
		Once the flag is grabbed from the player’s hand, they may leave the field.
		If the flag carrier is tagged, then the flag must be dropped on the ground and the player must leave the field, or the player must stand still with the flag hanging off his hand, and not fire at any other player.
	www.directpaintball.com /article_paintball_games.html (2831 words)

	Old Glory Pole Company Inc. - Flags
		The National Flag represents the living country and is considered to be a living thing emblematic of the respect and pride we have for our nation.
		Size is based upon the height of the flagpole and the number of flags flown on the pole.
		The length of a standard-sized flag should be 1/4 the height of the flag pole.
	www.oldglorypole.com /flags.html (254 words)

	Vietnam War Flag Safe Conduct Passes
		All the flag safe conduct passes show a large flag of the Republic of Vietnam at center on the front and, in the earlier versions, smaller flags of allied nations participating in the war.
		Perhaps one of the greater achievements of the small Flag safe conduct passes was the defection of Lieutenant La Thanh Tonc of the North Vietnamese Army on 20 January 1968 to the Marines at Khe Sanh Combat Base.
		The flag safe conduct passes were so successful that reproductions of parts or all of the 5-flag and 7-flag safe conduct passes are found on other propaganda leaflets.
	www.psywarrior.com /VNFlagSCP.html (4738 words)

	Plant Minimus for a street of gold (09-01-2003)
		Sweet flag is known botanically as Acorus gramineus.
		Dwarf sweet flag is grown for its striking variegated, grass-like foliage that lights up a bubbling brook, garden or a large mixed container.
		In addition to companion planting with hydrangeas, the dwarf sweet flag is also good for using tucked among rocks in creek beds, whether dry or flowing with water.
	msucares.com /news/print/sgnews/sg03/sg030901.html (630 words)

	Loeks Flag Variety Page (Site not responding. Last check: 2007-10-24)
		This required a detailed analysis of the structure of the flag varieties involved and the line bundles over them.
		In general the action of the restricted linear group can not be lifted to the line bundles and thus leads to central extensions of this group.
		We discuss a number of applications of these flag varieties to integrable systems and mathematical physics.
	www4.ncsu.edu /eos/users/l/loek/www/research/flags.html (113 words)

	Abstracts for Ring Structures in the Schubert Calculus
		We construct a flat degeneration of the flag manifold to the toric variety Y associated to the Gel'fand-Cetlin polytope.
		These formulas are concerned with: (1) the hyperplane section of a Schubert variety (a Monk type formula); (2) the restriction of a dominant line bundle to a Schubert variety; (3) the multiplication of an arbitrary Schubert class by a special one, which is pulled back from a Grassmannian projection (a Pieri type formula).
		The Peterson variety is a projective variety introduced by Dale Peterson that encodes the quantum cohomology rings of all partial flag varieties as coordinate rings coming from an affine paving.
	www.math.tamu.edu /~frank.sottile/conferences/Bo.Abstracts.html (1810 words)

	Julianna Tymoczko
		In my thesis I studied Hessenberg varieties, which are subvarieties of the full flag variety parametrized by a Lie algebra element and a certain subspace of the Lie algebra.
		Special examples of Hessenberg varieties include the Springer fiber (a variety closely tied to representation theory), the Peterson variety (related to the quantum cohomology of the flag variety), the space of Hessenberg matrices for a linear operator M (important in numerical analysis), and the entire flag variety itself.
		Hessenberg varieties are not pure dimensional, to appear in the special issue of Pure and Applied Mathematics Quarterly dedicated to Robert MacPherson's 60th birthday.
	www.math.lsa.umich.edu /~tymoczko (552 words)

	Jewell Instruments - Avionics Flag Mechanisms
		A variety of flag types and pointers are available.
		This unit is just 7/16 inch in diameter and may employ flag or pointer indicators.
		A variety of case configurations are available to meet specialized mounting requirements.
	www.jewellinstruments.com /avflag.htm (348 words)

	week186
		in this polynomial is the number of i-cells in the Bruhat decomposition of the flag variety.
		Here the "Bruhat decomposition" is a standard way of writing the flag variety as a disjoint union of "i-cells", that is, copies of F
		is the rank of the (2i)th homology group of the flag variety defined over the complex numbers.
	math.ucr.edu /home/baez/week186.html (2857 words)

	Flag Cases
		Tex-Star Woodworks is proud to offer an ever-growning variety of flag display cases.
		Whether you are looking for something simple to display a single flag, or a case to display a flag and medals or certificate, or even a case to display more than one flag, we have just the case to meet your needs.
		A simple, yet elegant means to proudly display a loved one's memorial flag.
	www.866flagbox.com /page/page/693715.htm (153 words)

	Flags of the World (Site not responding. Last check: 2007-10-24)
		Flag Ceremonies vary greatly based on the need of the occasion.
		A Simple Flag Ceremony will provide a simple script that can be followed for most opening and closing flag ceremonies.
		If any Scouter wishes to submit a flag ceremony or ceremony add-in to be posted, please send it thru the Feedback Page.
	pages.sbcglobal.net /galemon/portfolio/flags/ceremonies (118 words)

	Betsy Ross House - History - Are We There Yet? (Site not responding. Last check: 2007-10-24)
		In 1937 the building was donated to the City of Philadelphia with restoration work undertaken again with the financial assistance of radio pioneer, Atwater Kent.
		Today the home of the maker of the first American Flag is visited by some 250,000 people annually.
		Born Elizabeth Griscom, Betsy was the eighth child of seventeen in a family of Quakers.
	www.fieldtrip.com /pa/56275343.htm (445 words)

	Ben Webster (Site not responding. Last check: 2007-10-24)
		A hypertoric variety is a quaternionic analogue of a toric variety.
		Just as the topology of toric varieties is closely related to the combinatorics of polytopes, the topology of hypertoric varieties interacts richly with the combinatorics of hyperplane arrangements and matroids.
		Using finite field methods analogous to those used by Kazhdan and Lusztig in their study of Schubert varieties, we obtain combinatorial descriptions of the Betti numbers of hypertoric varieties, both for ordinary cohomology in the smooth case and intersection cohomology in the singular case.
	math.berkeley.edu /~bwebste (401 words)

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