However, it is often desirable to study hypergraphs where all hyperedges have the same cardinality ; a k-uniform hypergraph is a hypergraph such that all its hyperedges have size k. ( In other words, it is a collection of sets of size k .) So a 2-uniform hypergraph is a graph, a 3-uniform hypergraph is a collection of unordered triples, and so on.

The woman eyed the youth with the avidity a coin collector might display toward a rare doubloon which is not yet in his collection.

De Revolutionibus is not just a collection of facts and techniques.

The American-Negro Suite is in a sense an extension of the Cotton Club songs in that it is a collection of Negro songs, not for a night club, but for the concert stage.

His first book, Before The Brave ( 1936 ), is a collection of poems that are almost all Communistic, but after publication of this book he rejected Communism, and advocated a pacifistic anarchy, though retaining his revolutionary idiom.

The collection of information is meaningless unless it is understood and used for a definite purpose.

An analysis of the fiscal tax collection year calendars throughout the state indicates that transition may not be as painful as is commonly thought.

The Medical Illustration Service is responsible for the collection, publication, exhibition, and file of medical illustration material of medico-military importance to the Armed Forces.

At some cities, this pick-up and delivery service is without additional charge, and, if you are budget-wise, when you are planning your itinerary, you will take advantage of these free delivery and collection stations in major cities within the larger European countries.

There is the free intra-city `` rent it here, leave it there '' service, as an example, the free delivery and collection at the airport, dockside or your hotel, luggage racks, touring documents and information and other similar services.

In the upper center of Braque's first collage, Fruit Dish ( in Douglas Cooper's collection ), a bunch of grapes is rendered with such conventionally vivid sculptural effect as to lift it practically off the picture plane.

This is a delightfully motley collection.

It is a collection with a custom-design look, offering simplicity with warmth, variety and vitality.

The Drexel collection, called Composite, to be shown by Titche's offers a realistic approach to decorating, a mature modern that is a variation of many designs.

Like Philadelphia's late Dr. Albert C. Barnes who kept his own great collection closed to the general public ( Time, Jan. 2 ), Thompson, at 61, is something of a legend in his own lifetime.

To set up a co-operative library system, the law requires a central book collection of 100,000 nonfiction volumes as the nucleus, and the system is organized around it.

Nassau is currently building a central collection of reference materials in its Hempstead headquarters, which will reach its goal of 100,000 volumes by 1965.

The major part of this collection is in the central headquarters building, and the remainder is divided among five libraries in the system designated as subject centers.

Basic reference tools are the backbone of the collection, but there is also specialization in science and technology, an indicated weakness in local libraries.

The entire headquarters collection is available to the patrons of all members on interlibrary loans.

Among the particular gems in this collection is the impudent opening song of `` The Garrick Gaieties '', an impressive forecast of the wit and melody that were to come from Rodgers and Hart in the years that followed ; ;

In 2009, the American Anthropological Association's Commission on the Engagement of Anthropology with the US Security and Intelligence Communities released its final report concluding, in part, that, " When ethnographic investigation is determined by military missions, not subject to external review, where data collection occurs in the context of war, integrated into the goals of counterinsurgency, and in a potentially coercive environment – all characteristic factors of the HTS concept and its application – it can no longer be considered a legitimate professional exercise of anthropology.

In mathematics and statistics, the arithmetic mean, or simply the mean or average when the context is clear, is the central tendency of a collection of numbers taken as the sum of the numbers divided by the size of the collection.

The collection of all functors C → D form the objects of a category: the functor category.

A category intuitively consists of a collection of objects, and defined relationships between them.

In category theory, a category whose collection of objects forms a proper class ( or whose collection of morphisms forms a proper class ) is called a large category.

Native American art comprises a major category in the world art collection.

The category J is thought of as index category, and the diagram F is thought of as indexing a collection of objects and morphisms in C patterned on J.

Any collection of objects and morphisms defines a ( possibly large ) directed graph G. If we let J be the free category generated by G, there is a universal diagram F: J → C whose image contains G. The limit ( or colimit ) of this diagram is the same as the limit ( or colimit ) of the original collection of objects and morphisms.

This " vertical composition " of natural transformation is associative and has an identity, and allows one to consider the collection of all functors itself as a category ( see below under Functor categories ).

In this sense, each monoid is a category that consists of one object and a collection of specific morphisms to itself.

In category theory and its applications to mathematics, a biproduct of a finite collection of objects in a category with zero object is both a product and a coproduct.

The collection was second in the 1995 Locus Award poll in the collection category.

Supplements containing vitamins or dietary minerals are included as a category of food in the Codex Alimentarius, a collection of internationally recognized standards, codes of practice, guidelines and other recommendations relating to foods, food production and food safety.

A category is a collection of objects with associated morphisms.

* Localization of a category, adding to a category inverse morphisms for some collection of morphisms, constraining them to become isomorphisms

Joseph Alsop, in his pioneering work on the history of art collection, provides the following definition: “ To collect is to gather objects belonging to a particular category the collector happens to fancy ; and art collecting is a form of collecting in which the category is, broadly speaking, works of art .” ( Scott, 2008 ).

I used to go with Watson to call on the eminent neurologist at his apartment, to sit among the doctor's excellent collection of statues, paintings, and books and drink Oriental coffee while Watson seemed to thaw out and become almost affable.

For a particularly fabulous room which houses a collection of fine English Chippendale furniture, fabric wall panels were embroidered with a typically Chinese-inspired design of this revered Eighteenth Century period.

Six cities and towns are presently on a July 1 to June 30 fiscal year and have coordinated their tax collection year with it.

Ambassador-at-Large Averell Harriman has returned to the capital with a collection of paintings that include Renoir, Cezanne, Gauguin, Van Gogh, Toulouse-Lautrec, Degas, Matisse, Picasso, and Walt Kuhn.

Dignity and comfort, in a contemporary manner, reflecting the best aspects of today's design, with substance and maturity, keynote the Perennian collection from Heritage.

With the exception of a few spots, Milhaud's music mostly churns away with his usual collection of ditties, odd harmonies, and lumbering, satiric orchestration.

All belong to the collection being given to Wilmington over a period of years by Mrs. Sloan, who has cherished such revelatory items ever since she first studied with Sloan at the Art Students League, New York, in the 1920's.

It was Mrs. Kirby, making her toilsome way along the veranda, laden with a clattery collection of mops, brushes, and pails.

* P. Remacle's collection – Greek with French translation

In addition, the exterior of an adobe wall can be covered with glass to increase heat collection.

Its domain is the powerset of A ( with the empty set removed ), and so makes sense for any set A, whereas with the definition used elsewhere in this article, the domain of a choice function on a collection of sets is that collection, and so only makes sense for sets of sets.

** Tukey's lemma: Every non-empty collection of finite character has a maximal element with respect to inclusion.

For example, in the first editions of the collection The Mysterious Mr Quin ( 1930 ), in the short story " The Soul of the Croupier ," she described " Hebraic men with hook-noses wearing rather flamboyant jewellery "; in later editions the passage was edited to describe " sallow men " wearing same.

The Terracotta Army commissioned by the first Chinese Emperor Qin Shi Huangdi is a collection of about 8000 life-sized ceramic soldiers and horses buried with the emperor.

( A collection of 64 essays with many pieces from the Annales — the long introduction is excellent, and contains many good references ).

In it he gathered a large library, a collection of ancient furniture, arms and armour, and other relics and curiosities, especially connected with Scottish history, notably the Celtic Torrs Pony-cap and Horns and the Woodwrae Stone, all now in the Museum of Scotland.

Along with the Pontificale, Ealdred may have brought back from Cologne the first manuscript of the Cambridge Songs to enter England, a collection of Latin Goliardic songs which became famous in the Middle Ages.