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Topic: Helly family


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  Helly family - Wikipedia, the free encyclopedia
In combinatorics, a Helly family of order k, named after Eduard Helly (1884 - 1943), is a set system (F, E), with F a collection of subsets of E, that satisfies the k-Helly property.
A 2-Helly family is also known as a Helly family.
Helly's theorem on convex sets, which rise gave to this notion, states that convex sets in Euclidean space of dimension n are a Helly family of order n + 1.
www.wikipedia.org /wiki/Helly_family   (180 words)

  
 Helly family - Encyclopedia, History, Geography and Biography
Helly family - Encyclopedia, History, Geography and Biography
In combinatorics, a Helly family of order k, named after Eduard Helly (1884 - 1943), is a set system (F, E), with F a collection of subsets of E, that satisfies the k-Helly property.
Helly's theorem on convex sets, which rise gave to this notion, states that convex sets in Euclidean space of dimension n are a Helly family of order n + 1.
www.arikah.net /encyclopedia/Helly_Family   (211 words)

  
 Helly   (Site not responding. Last check: 2007-11-06)
Helly was married in 1921 to Elise Bloch who also had a doctorate in mathematics from Vienna.
Helly was forced to earn a living working in a bank, then as an actuary when the bank collapsed in 1929.
First there is Helly's selection principle which says that given a sequence of functions of bounded variation which are of uniform bounded variation and uniformly bounded at a point, then there exists a subsequence which converges to a function of bounded variation.
www-history.mcs.st-andrews.ac.uk /history/Mathematicians/Helly.html   (894 words)

  
 Helly's theorem - Wikipedia, the free encyclopedia
In geometry, Helly's theorem is a basic combinatorial result on convex sets.
It was proved by Eduard Helly, and gave rise to the notion of Helly family.
Helly's theorem states that in this case the whole collection has a nonempty intersection; that is,
www.wikipedia.org /wiki/Helly%27s_theorem   (362 words)

  
 Helly Hansen Clothing: Outdoor Apparel from Helly Hansen for Hiking,Biking, or Sailing: Helly Hansen Jackets
Helly Hansen clothing is used to sail the Whitbread Round the World races, compete in the Olympics, climb the world's tallest mountains, trek over Arctic wastes, and tackle the roughest of the North Sea.
Helly Hansen's jacket collection includes packable jackets, hooded jackets, parkas, ski jackets, snowboarding jackets, sailing jackets and more&mdsah;all of them featuring the materials and technologies that are result of over 125 years of experience.
Helly Hansen seagear is inspired by experience and knowledge built from involvement in the famous World Volvo Ocean Race, and designed to protect you against the rough and rapidly changing weather conditions at sea.
www.hellyhansenclothing.com   (1980 words)

  
 Helly'kat   (Site not responding. Last check: 2007-11-06)
Helly was outraged by what had happend and sworn that she would never cause harm to Teshia again..
After ten years of being dead, Helly was summoned back to the mortal realm to find that her love had moved on with her life and had been mated again..
Helly now remains at CnC with her mate and childern, building a family and helping her friends when ever needed, being happier then she could ever remember, though still feeling as though something was missing inside of her heart.
kobun.sashikomi.net /helly.htm   (503 words)

  
 A Guide to the Eduard Helly Papers, 1915-1917, 1930
Helly was born in Vienna and earned his Ph.D. there in 1907.
He worked in the field of mathematics until he enlisted in the army at the beginning of World War I. He was wounded in September 1915 and became a Russian prisoner of war.
Papers relate to Eduard Helly's (1884-1943) research in functional analysis and his imprisonment in Siberia during World War I. Included are four postcards and a manuscript ("Uber Systeme von abgeschlossenen Menger mit gemeinschaftlichen Punkten" (1930)).
www.lib.utexas.edu /taro/utcah/00194/00194-P.html   (196 words)

  
 Helly family   (Site not responding. Last check: 2007-11-06)
In combinatorics, a Helly family of order k, namedafter Eduard Helly (1884 - 1943),is a set system (F, E) with F ⊆ 2
This says that an empty intersection of sets from the family can always be refined to an empty intersection of at most k, forgiven k ≥ 2.
A 2-Helly family is also known asa Helly family.
www.therfcc.org /helly-family-243803.html   (112 words)

  
 Read about Helly's theorem at WorldVillage Encyclopedia. Research Helly's theorem and learn about Helly's theorem here!   (Site not responding. Last check: 2007-11-06)
Research Helly's theorem and learn about Helly's theorem here!
In geometry, Helly's theorem is a basic combinatorial result on
Eduard Helly, and gave rise to the notion of
encyclopedia.worldvillage.com /s/b/Helly%27s_theorem   (362 words)

  
 Helly family -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-06)
Helly family -- Facts, Info, and Encyclopedia article
This says that an empty (A junction where one street or road crosses another) intersection of sets from the family can always be refined to an empty intersection of at most k, for given k ≥ 2.
It is easy to see that the set of (The difference in pitch between two notes) intervals on the (additional info and facts about real line) real line has the Helly property.
www.absoluteastronomy.com /encyclopedia/H/He/Helly_family.htm   (124 words)

  
 Helly-Type Theorems and Geometric Transversals - Wenger (ResearchIndex)   (Site not responding. Last check: 2007-11-06)
Eduard Helly's celebrated theorem gives conditions for the members of a family of convex sets to have a point in common, i.e., a point transversal.
On the Helly Number for Hyperplane Transversals to Unit..
46 Helly's theorem and its relatives (context) - Danzer, Grunbaum et al.
citeseer.lcs.mit.edu /wenger97hellytype.html   (509 words)

  
 Miguel Angel Pizaña's Abstracts of papers
In the way, a new family of graphs with increasing diameters under the clique operator is shown.
Applying this result to Whitney triangulations of surfaces, we construct an infinite family of examples which solve in the affirmative Prisner's open problem 1 in \emph{Graph Dynamics} (Longman, Harlow, 1995): Are there finite connected graphs $G$ that are periodic under $K$ and where the second modulo $2$ Betti number is greater than $0$?
A graph is \emph{clique-Helly} if any family of mutually intersecting (maximal) cliques has non-empty intersection, and it is \emph{hereditary clique-Helly} (abbreviated HCH) if its induced subgraphs are clique-Helly.
xamanek.izt.uam.mx /map/abstracts.html   (1376 words)

  
 Aftenposten Norway, Norwegian news in English
Sales of Helly Hansen's spring collection are up 40 percent in Norway and 23 percent internationally.
Helly Hansen was founded in 1877 by Norwegian sea captain Helly Juell Hansen.
The company has been through a chain of different owners, from the Hansen family to Niels AB Bugge to Nora (now Orkla) and RGI.
www.aftenposten.no /english/business/article974482.ece?rfid=rss1.0   (390 words)

  
 Helly-type Theorems and Generalized Linear Programming - Amenta (ResearchIndex)
We show that there is a Helly-type theorem about the constraint set of every GLP problem.
Given a family H of sets with a Helly-type theorem, we give a paradigm for finding whether the intersection of H is empty, by...
2 Helly's Theorem and it's relatives (context) - Danzer, Grunbaum et al.
citeseer.ist.psu.edu /24860.html   (688 words)

  
 Encyclopedia: Helly's theorem
Updated 171 days 3 hours 12 minutes ago.
In mathematics, an object is convex if for any pair of points within the object, any point on the straight line segment that joins them is also within the object.
For infinite collections one has to assume compactness: In mathematics, an object is convex if for any pair of points within the object, any point on the straight line segment that joins them is also within the object.
www.nationmaster.com /encyclopedia/Helly%27s-theorem   (595 words)

  
 Thermal Underwear from Helly Hansen: LIFA Polypropylene Underwear and Thermal Base Layer
The concept of supplying high quality, well priced clothing for outdoors use had become a triumph, and is what drove the company from being the innovator, to being the technological leader it is today.
LIFA is a 'Dry Fiber Technology™' designed by Helly Hansen.
Helly Hansen LIFA products and other thermal underwear items can be purchased either through the network of brick-and-mortar retailers or conveniently on-line, such as at Outrec.com Sports Store
www.thermalunderwear.info   (1412 words)

  
 Berge's theorem, fractional Helly, and art galleries (ResearchIndex)
Abstract: In one of his early papers Claude Berge proved a Helly-type theorem, which replaces the usual "nonempty intersection" condition with a "convex union" condition.
Inspired by this we prove a fractional Helly-type result, where we assume that many (d+1)-tuples of a family of convex sets have a starshaped union, and the conclusion is that many of the sets have a common point.
Bounded VC-dimension implies a fractional Helly theorem - Matousek (2002)
citeseer.ist.psu.edu /657135.html   (424 words)

  
 Girlhood Memories - growing up in South Africa   (Site not responding. Last check: 2007-11-06)
During my three years at University the family held frequent discussions about my future, and alone in my bedroom I spent planning and dreaming periods perched comfortably on the high embrasure of my bedroom window - an ideal place to sit and contemplate the future.
I had long given up my idea of being a medical missionary, and Dad was discouraging about nursing as a career as he thought it was a very hard life.
My interest in languages persisted, and eventually it was decided that I would follow Anne Parker and go as a paying guest to the Helly family in Grenoble, and would follow her sister Jean (now Secretary to the Mayor of Cape Town) at St James’ Secretarial College in London.
www.barbaragoss.net /shirley/page28.html   (469 words)

  
 Sport Chalet - Skiing Winter Jackets Womens: Helly Hansen Minx Down Jacket with Faux Fur Womens
Helly Hansen Minx Down Jacket with Faux Fur Womens
The Helly Hansen® Minx women's jacket features the durability and sensibility of workwear styling, with the feminine touch of removable faux-fur trim on the hood.
With the down and feather fill, you'll stay warm to the core regardless of the low temperatures.
www.sportchalet.com /product/index.jsp?productId=1957197&cp=695102&parentPage=family   (170 words)

  
 Congressman Jim McDermott - Speeches - Salmon Planning Act Deserves Serious Consideration
These companies are located in more than 35 states, highlighting the regional and national benefits of a restored fishery.
The list includes major corporations, such as Patagonia and Helly Hansen, small family-owned businesses, and everything in between.
People need to understand that this is not just an environmental issue- common-sense salmon recovery is also about protecting family-wage jobs and supporting rural communities.
www.house.gov /mcdermott/sp050606.shtml   (1228 words)

  
 Helly Hansen Workwear
We are pleased to introduce a new line of clothing into the Shire family.
Helly Hansen is a name synonymous with excellence and we are now an exclusive distributor for these products.
Certain names, logos, designs, titles, words or phrases on this page may constitute trademarks, service marks, or trade names of Shire Online, Inc. or other entities which may be registered in certain jurisdictions.
www.shireonline.com /helhanwor.html   (119 words)

  
 Re: Dula Family of Caldwell County, NC
In Reply to: Re: Dula Family of Caldwell County, NC by kelly
what type of info are you looking for, family history, family tree, etc. let me know and maybe i can help you find out whatever you need to know
Re: Dula Family of Caldwell County, NC kelly 7/09/01
genforum.genealogy.com /dula/messages/171.html   (58 words)

  
 House of Commons Hansard Written Answers for 10 Jul 1997 (pt 5)
In the meantime, the Section is running a restricted service, dealing with compassionate cases and applications for settlement from those joining family already in the UK.
To ask the Secretary of State for Foreign and Commonwealth Affairs what position has been reached by the Indian authorities in investigating the murder of Mr.
Eamon Peter Helly in Goa on 8 November 1991; and if he will urge the Indian authorities to proceed with their inquiries and bring charges without delay.[6885]
www.publications.parliament.uk /pa/cm199798/cmhansrd/vo970710/text/70710w05.htm   (1204 words)

  
 [No title]   (Site not responding. Last check: 2007-11-06)
We discuss a series of results on this problem formulated in the spirit of the Helly intersection theorem.
For instance, suppose that F maps M into the family of all k-dimensional affine subsets of a Hilbert space and satisfies the following condition: The restriction of F to every 2^{k+1}-pointed subset of M has a Lipschitz selection with Lipschitz seminorm at most 1.
Then F has a selection satisfying the Lipschitz condition with a constant depending only on k.
www.math.technion.ac.il /~techm/20000515123020000515shv   (142 words)

  
 Don /Helly/ Family Tree on OneGreatFamily.com
Click here to launch the Genealogy Browser to view, edit or submit a biography for Don /Helly/
Click here to launch the Genealogy Browser to view, edit or submit a multimedia for Don /Helly/
Click here to launch the Genealogy Browser to view, edit or submit a note for Don /Helly/
www.onegreatfamily.com /ancestry/Don_Helly~i507565402.htm   (68 words)

  
 Debra /Helly/ Family Tree on OneGreatFamily.com
Click here to launch the Genealogy Browser to view, edit or submit a biography for Debra /Helly/
Click here to launch the Genealogy Browser to view, edit or submit a multimedia for Debra /Helly/
Click here to launch the Genealogy Browser to view, edit or submit a note for Debra /Helly/
www.onegreatfamily.com /ancestry/Debra_Helly~i507565415.htm   (68 words)

  
 Helly Oden /Minor/ Family Tree on OneGreatFamily.com   (Site not responding. Last check: 2007-11-06)
Genealogy and Family Tree of Helly Oden /Minor/
Click here to launch the Genealogy Browser to view, edit or submit a biography for Helly Oden /Minor/
Click here to launch the Genealogy Browser to view, edit or submit a note for Helly Oden /Minor/
ldsroots.com /ancestry/Helly_Oden_Minor~i5265389.htm   (80 words)

  
 Helly Hansen Meridian Cap Russet Brown from Helly Hansen - $18.99 at Outrec.com   (Site not responding. Last check: 2007-11-06)
Helly Hansen Meridian Cap Russet Brown from Helly Hansen - $18.99 at Outrec.com
Store / Helly Hansen / Helly Hansen Meridian Cap Russet Brown
Remember, shipping on all orders over $50 is FREE (via USPS Parcel Post®, U.S. customers only) and there is no sales tax, except to California.
64.62.182.204 /shop/item/2/brand/18/1402   (113 words)

  
 Bloomberg.com: Asia
Sotheby's, which has it main salerooms in New York, had expected to sell 38.5 million pounds to 54 million pounds of impressionist and modern art.
``They had some good pictures,'' said David Nahmad, a member of the family that owns the Helly Nahmad galleries in London and New York and has front-row seats at the auctions.
The sale showed that buyers will pay up for an artist's best works and are picky about less admired pictures.
quote.bloomberg.com /apps/news?pid=10000080&sid=aBGxGj6oXsHw   (836 words)

  
 Helly Hansen Windguard Seagear (High Neck Windguard in Black Color) from Helly Hansen - $39.00 at Outrec.com   (Site not responding. Last check: 2007-11-06)
Helly Hansen Windguard Seagear (High Neck Windguard in Black Color) from Helly Hansen - $39.00 at Outrec.com
– email this product to a friend or family
This item is currently out of stock and can not be purchased.
www.outrec.com /shop/item/22/category/0203/372   (154 words)

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