
	Where results make sense

Topic: Hodge star

Related Topics

Metric signature

Fundamental theorem of Riemannian geometry

Maple syrup

Butter tart

Jack Kent Cooke

2000s music groups

Anand (town)

Los Angeles Kings

Gujarat

1980s music groups

Paul Bernardo

	Hodge dual - Wikipedia, the free encyclopedia
		In mathematics, the Hodge star operator or Hodge dual is a signficant linear map introduced in general by W.
		The Hodge star operator establishes a correspondence between the space of k-vectors and the space of (n −k)-vectors.
		The codifferential is not an antiderivation on the exterior algebra, in contrast to the exterior derivative.
	en.wikipedia.org /wiki/Hodge_dual (1313 words)

	One last shot for Hodge ::
		Hodge is 8 now, and his father is a part of his past, but not his future.
		Hodge is a freshman, and he walks into the Wolfpack basketball world with an unwavering confidence.
		Hodge is the reigning ACC Player of the Year, and the talk of national championships isn't absurd.
	www.cstv.com /sports/m-baskbl/uwire/111604aac.html (2229 words)

	PlanetMath: Hodge star operator
		(the star used to denote the dual space is not to be confused with the Hodge star!), with the inner product being expressed in terms of components as
		The Hodge star operation occurs most frequently in differential geometry in the case where
		This is version 8 of Hodge star operator, born on 2003-03-23, modified 2006-06-24.
	planetmath.org /encyclopedia/HodgeStarOperator.html (169 words)

	In Denver - All Thoughts With Julius Hodge \| HOOPSWORLD.com \| NBA News and Information \| powered by Basketball News ... (Site not responding. Last check: 2007-11-06)
		Hodge is a rare modern day NBA player, because he actually played four years of college basketball at North Carolina State graduating with a double major in theatre and communications.
		Hodge wears the number of a guy who was a pretty good point guard himself.
		Hodge continued, "I have to stay positive and say there are some minutes coming down the road, but I probably can count the minutes I've played this season on one hand.
	www.hoopsworld.com /article_16887.shtml (1417 words)

	newsobserver.com \| Hodge shot, should recover
		Former N.C. State star Julius Hodge, a 6-foot-7 rookie guard for the Denver Nuggets, was shot three times early Saturday as he drove on a Denver interstate shortly after leaving a popular nightclub, police said.
		Hodge was in fair condition with two bullet wounds in the upper legs and one in the lower part of one of his legs, said Nuggets coach George Karl.
		The passenger in Hodge's car, whose identity was not released, told police that immediately after the shooting, he jumped out of the car and flagged down a passing motorist.
	www.newsobserver.com /122/story/427002.html (723 words)

	Interstellar Burp Leads To Discovery Of New Pulsar
		The massive companion, a type B[e] star, is a superhot blue-white star (type B) about 8 to 15 times as massive as our sun, with a distinctive signature - emission lines caused by glowing hydrogen and oxygen blown off the star.
		Visible companions haven't been found for all of them because some are too far away and others are hidden by dust between us and the star.""Several of these pulsars that we've seen with BATSE have started out with a giant outburst and have followed with a series of regularly spaced smaller outbursts," she continued.
		Scientists suspect the giant outburst is caused by a massive ejection of material from the B[e] star into an excretion disk surrounding the B[e] star.
	www.eurekalert.org /pub_releases/1998-12/NSFC-IBLT-111298.php (826 words)

	DenverPost.com - Hodge writing new chapter after drive-by
		Hodge missed playing for the Nuggets' summer league team while recovering from the gunshot wounds, along with a left foot infection.
		Hodge played last season for Austin in the NBADL, where he was coached by former all-star point guard Dennis Johnson.
		Hodge was ecstatic to learn this past week that his fiancée and college sweetheart, whom he declined to name, is due to give birth to a girl in January.
	www.denverpost.com /nuggets/ci_4531245 (1109 words)

	VeggieTales: The Star of Christmas (2002)
		Out of desperation, he attempts to steal the Star, which leads him down a slippery slope of deceit.
		The Star of Christmas appears in an aspect ratio of 1.33:1 on this single-sided, single-layered DVD; due to those dimensions, the image has not been enhanced for 16X9 televisions.
		Hodge and Vischer still gave us some decent information during the feature’s second half, but some empty spaces appeared, and when they spoke, they tended to make general comments about the on-screen action that didn’t provide much useful information.
	www.dvdmg.com /starofchristmas.shtml (1946 words)

	W. V. D. Hodge - Wikipedia, the free encyclopedia
		At this time he was also assimilating de Rham's theorem, and defining the Hodge star operation which would allow him to define harmonic form and so refine the de Rham theory.
		The Hodge index theorem was a result on the intersection number theory for curves on an algebraic surface: it determines the signature of the corresponding quadratic form.
		Hodge also wrote, with Daniel Pedoe, a three-volume work Methods of Algebraic Geometry, on classical algebraic geometry, with much concrete content — illustrating though what Elie Cartan called 'the debauch of indices', in its component notation.
	en.wikipedia.org /wiki/W._V._D._Hodge (703 words)

	SportingNews.com - NBA - Nuggets' Hodge released from hospital
		DENVER -- Denver Nuggets rookie guard and former N.C. State star Julius Hodge was released from a hospital Sunday, a day after shots fired into his car on a highway wounded his legs.
		Investigators said Hodge had been at the Paladium nightclub, where he had met with hip-hop artist Juelz Santana, who was performing there.
		Hodge stopped and a passenger flagged down a motorist, who took both men to a hospital.
	www.sportingnews.com /yourturn/viewtopic.php?t=81547 (428 words)

	Huskies get Roy back early, knock off No. 12 N.C. State \| www.azstarnet.com ®
		Hodge scored 15 points and Robinson was held to seven with five assists.
		Robinson was fouled in the backcourt with 10 seconds on the clock but missed the front end of 1-and-1, giving the Wolfpack a chance to tie or win it.
		Hodge drove on the last play and was met by Simmons, Roy and Robinson.
	www.azstarnet.com /sn/printDS/53319 (715 words)

	The Seattle Times: Sonics: NBA \| Happy to have any chance
		DENVER, CO — DECEMBER 23: Julius Hodge #32 of the Denver Nuggets goes to the basket against the Houston Rockets on December 23, 2005 at the Pepsi Center in Denver, Colorado.
		Hodge missed playing for the Nuggets' summer league team while recovering from the gunshot wounds, along with a foot infection.
		Hodge was ecstatic to learn last week that his fiancée and college sweetheart, whom he declined to name, is due to give birth to a girl in January.
	seattletimes.nwsource.com /html/sonics/2003316829_sonicfiller22.html (1165 words)

	Riemannian volume form without local coordinates
		The Hodge star is usually defined in terms of the volume form, so your proposed definition seems circular.
		Actually, I believe that the Hodge star operator can be defined locally via an oriented orthonormal basis with no reference to the volume form (you can do it merely on the linear algebra level).
		The Hodge star can be defined in terms of a local orthonormal or holonomic frame, and then the Volume form can be defined in terms of it.
	www.physicsforums.com /showthread.php?p=1012126 (990 words)

	USATODAY.com - Nuggets' Hodge released from hospital (Site not responding. Last check: 2007-11-06)
		DENVER — Nuggets rookie Julius Hodge, recovering from a highway shooting that wounded his legs, said he wanted to meet the woman who stopped on the highway and drove him to the hospital.
		The Nuggets said Hodge was expected to recover and could play in two to three weeks.
		Hodge, a New Yorker who played at North Carolina State, was Denver's first-round draft choice in 2005.
	www.usatoday.com /sports/basketball/nba/nuggets/2006-04-08-hodge-shooting_x.htm (390 words)

	URBANA UNIVERSITY - Athletics
		A two-year captain, Hodge was a 2nd Team All-Central District selection as a senior and Honorable Mention All-District her junior season.
		Hodge was named best all around player, and Most Valuable Player for Coach Darrell Eades at London High School.
		Hodge, who is planning on majoring in criminology at Urbana University, says that she is looking forward to getting a good education and looking forward to the college life.
	www.urbana.edu /athletics/volleyball/vb_030206_hodge.htm (257 words)

	newsobserver.com \| Successes don't transfer to NBA
		Back in the state where he forged his reputation as a college star, Julius Hodge was relegated to a miniscule role in his new team's recent road win.
		Hodge's brief time on the current home court of former North Carolina rivals Raymond Felton and Sean May gave him a chance to reflect on how much the roles have changed.
		Hodge's high point has been the four points he scored in four minutes of play against the Orlando Magic on Dec. 10.
	www.newsobserver.com /122/story/380954.html (555 words)

	Willson wins the 2004 Dan Hodge Trophy
		The Dan Hodge Trophy is awarded annually to the nation's most outstanding collegiate wrestler.
		It is named after University of Oklahoma star Dan Hodge who won three national titles (1955-57).
		Hodge was a prolific pinner who never surrendered a takedown in his three collegiate seasons.
	www.intermatwrestle.com /college/hodge.asp (172 words)

	APOD: April 7, 1999 - Denizen of the Tarantula Nebula (Site not responding. Last check: 2007-11-06)
		The stars within Hodge 301 formed together tens of millions of years ago and as the massive ones quickly exhaust their nuclear fuel they explode.
		In fact, the red giant stars of Hodge 301 are rapidly approaching this violent final phase of stellar evolution - known as a supernova.
		But these spectacular stellar death explosions signal star birth as well, as the blast waves condense gas and dust to ultimately form the next generation of stars inside the Tarantula Nebula.
	antwrp.gsfc.nasa.gov /apod/ap990407.html (169 words)

	Is the 2-in-1 burster a masquerade?
		It's an accretion-powered pulsar, one in which the neutron star's emissions come from matter, probably emitted by a visible-light companion, making a horrible gravitational plunge to the pulsar's surface.
		That supported the theory that the pulsar was orbiting through an excretion disk, most likely spewed from the equator of a rapidly rotating type Be star into space (a Be star is a hot blue-white star with emission lines from glowing gas it has blown off.
		Eventually, the star slows to the point that the magnetosphere can no longer bat the material away, and the star accretes enough to clear the field of view.
	www.eurekalert.org /pub_releases/1999-09/NSFC-It2b-170999.php (1101 words)

	What IS the Hodge Star * Map? (Site not responding. Last check: 2007-11-06)
		The Hodge star * map is an automorphism of Cl(n) onto Cl(n) that is an isomorphism between Cl(n)k and Cl(n)(n-k) The grade of the image of the Hodge star * map is called the 8-grade.
		Therefore, the 6-dimensional bivector space splits into two 3-dimensional parts that are interchanged by the Hodge star * map.
		However, a Spin(8) bivector 2-vector space is too big to act as a transitive transformation group of a symmetric space of the form Spin(8) / G = M where the dimension of M is 4 or less.
	www.valdostamuseum.org /hamsmith/hstar.html (962 words)

	Interstellar burp leads to discovery of new pulsar
		The pulsating nature comes from the rapid rotation of the neutron star whose magnetic field axis is not aligned with its spin axis.
		As material is funneled onto the magnetic poles of the star, energy from this accreted matter is released in the form of X-rays in the cone-shaped beams depicted above.
		The concentration of emitted X-rays from the magnetic poles appears to a distant observer as a periodic pulse of radiation as the beam sweeps past the observer, much like the rotating beam of a lighthouse.
	science.nasa.gov /newhome/headlines/ast11dec98_1.htm (1209 words)

	Short Presentations
		Abstract: The Hodge star operator from the theory of differential forms is themapping which puts $k$- and $(d-k)$-forms on a $d$-manifold into one-to-one correspondence.
		For $k=d$, the star operator is a bijective mapping between $d$-forms (``densities'') and $0$-forms (``scalar functions''); a discrete analog is an operator which, given the integrals of a function over $n$ cells, reconstructs (approximately) the values of the function at $n$ nodes.
		We also present a negative result: the 1D analog of the discrete Hodge star operator which maps $d-1$ forms to $1$ forms ("fluxes to circulations") cannot be made exact on polynomials of order higher than the number of degrees of freedom.
	www.sci.sdsu.edu /compscims/MIMETIC/Presentations.htm (3707 words)

	ABC Sport - Cricket - Hodge the star as Bushrangers tame India
		Brad Hodge was 153 not out at stumps on Wednesday as Victoria built a lead of 82 runs on day two of the three-day match against India at the MCG.
		At the close of play, the Bushrangers were 5 for 348 in reply to the tourists' total of 9 for 266 declared.
		Hodge was joined in the middle by Ian Harvey on 54 not out.
	www.abc.net.au /sport/content/s997574.htm (351 words)

	BBC - Drama Faces - Patricia Hodge
		One of her first TV roles was alongside John Hurt in The Naked Civil Servant and she's won a Laurence Olivier award for her theatre work.
		Patricia's especially well known for her stage work, starring in Separate Tables, The Prime of Miss Jean Brodie and Trevor Nunn's Money/Summerfolk at the Royal National Theatre.
		She plays the piano and guitar, has a mezzo-soprano singing voice and is highly skilled at ballet and tap dancing.
	www.bbc.co.uk /drama/faces/patricia_hodge.shtml (286 words)

	WRAL.com - News - Hodge Expected To Make Full Recovery After Drive-By Shooting (Site not responding. Last check: 2007-11-06)
		Hodge was a standout college basketball player and a charismatic personality for the Wolfpack team until his graduation in 2005.
		Hodge was Denver's first-round draft choice in 2005 out of North Carolina State.
		Hodge has had more than his share of challenges this past year, including an allegation of attempted rape.
	www.wral.com /news/8554270/detail.html (1199 words)

	Hodge Duals and the Interior Product
		by the metric and the star is the Hodge Star dual operator.
		and using both the Leibnitz-like property of the interior derivative and the definition of star operator in terms of that wedge to get a fairly big expression in terms of a local basis.
		doesn't hodge's theorem say that the quotient space of closed modulo exact forms on a compact connected oriented riemennian manifold, is isomorphic to the space of harmonic forms, (which is finite dimensional).
	www.physicsforums.com /showthread.php?t=72829 (1603 words)

	BBC NEWS \| UK \| UK Politics \| Hodge MG Rover comments 'stupid'
		The Lib Dems said Mrs Hodge's comments were "ill-judged" and "of little use to Rover workers".
		Bromsgrove MP Ms Kirkbride said it was vital that the skills of the workers were retained in the area.
		But Mrs Hodge later hit back at her critics, saying: "I did not say that MG Rover workers should apply for jobs at Tesco.
	news.bbc.co.uk /go/rss/-/2/hi/uk_news/politics/4102600.stm (557 words)

	News 14 Carolina \| 24 Hour Local News \| TOP STORIES (Site not responding. Last check: 2007-11-06)
		(DENVER) - Denver Nuggets rookie Julius Hodge was released from a hospital Sunday, a day after shots fired into his car on a highway wounded his legs.
		Hodge released a statement through the team expressing thanks, especially to a woman who stopped on the highway and drove Hodge and his passenger to the hospital.
		Former N.C. State star Julius Hodge was released from the hospital Sunday, a day after he was shot in Denver.
	rdu.news14.com /content/top_stories/default.asp?ArID=83034 (476 words)

	Amazon.com: VeggieTales - The Star of Christmas: Video: Dan Anderson (III),Ian Anderson (VII),Aimee Dupriest,Adam ... (Site not responding. Last check: 2007-11-06)
		But children at nearby St. Bart's Church are planning a nativity play for the same evening, and they plan to feature the Star of Christmas, a religious artifact unseen by the public for decades.
		The London Post Gazette writes a front-page story about the nativity play and the Star, and Cavis and Millward hatch a plan to make their musical better than the children's play.
		Everyone is talking about it, however, because they plan to use the Star of Christmas, which no one has seen in years.
	www.amazon.com /VeggieTales-Christmas-Dan-Anderson-III/dp/B00006JE9A (2081 words)

	Electromagnetic Permeability of the Vacuum and Light-Cone Structure
		It is well known that Maxwell equations in vacuum are conformally invariant - which results in the fact that photons are massless.
		A geometrical expression of this fact is that space-time metric enters Maxwell equations only via Hodge star operator on two-forms.
		It was Singer who pointed out to us that in 2n dimensional space-time (2n=4 in our case), Hodge operator on n-forms is conformally invariant.
	quantumfuture.net /quantum_future/emp.htm (550 words)

Try your search on: Qwika (all wikis)