This guarantees for any partition of a set X the existence of a subset C of X containing exactly one element from each part of the partition.

Douglas Adams's 1982 science fiction comedy novel Life, the Universe and Everything – the third part of The Hitchhiker's Guide To The Galaxy series – features the urn containing the Ashes, as a significant element of its plot.

He asks that none of his work should be reproduced in whole or in part, and even further that libraries containing such copies of his work remove them.

In the Pearl of Great Price's section containing part of Joseph Smith's translation of the Bible's book of Moses, it refers to " a Book of Remembrance ", written in the language of Adam.

During the Vietnam War, between 1962 and 1971, the United States military sprayed nearly of material containing chemical herbicides and defoliants mixed with jet fuel in Vietnam, eastern Laos and parts of Cambodia, as part of Operation Ranch Hand.

For liturgy they looked to Laud's book and in 1724 the first of the ' Wee Bookies ' was published, containing, for the sake of economy, the central part of the Communion beginning with the Offertory.

This group includes the Rylands Library Papyrus P52, containing part of St John's Gospel, and perhaps dating from between 125 and 160.

It is surrounded by mostly low mountains such as the Sudetes with its part Krkonoše, containing the highest point in the country, the Sněžka at.

Bolzano's proof relied on the method of bisection: the sequence was placed into an interval that was then divided into two equal parts, and a part containing infinitely many terms of the sequence was selected.

The southwestern border of Connecticut, where it abuts New York State, is marked by a panhandle in Fairfield County, containing the towns of Greenwich, Stamford, New Canaan, Darien and part of Norwalk.

It brought to an end the first phase of the power struggle between the Papacy and the Holy Roman Emperors and has been interpreted as containing within itself the germ of nation-based sovereignty that would one day be confirmed in the Treaty of Westphalia ( 1648 ); in part this was an unforeseen result of strategic maneuvering between the Church and the European sovereigns over political control within their domains.

However, foreign words containing may be transcribed using other letters, such as: ( Gāf, not part of standard letters ), ( qāf ), ( kāf ), ( Ghain ) in loanwords or in varieties of Arabic, but not in Egypt, because ⟨⟩ is normally pronounced in all cases.

Excessive exogenous intake may be purposeful as part of various treatment regimens such as to suppress tumor growth in thyroid cancer or inadvertently, as in when using dietary supplements or via percutaneous absorption, as a result of topical use of cosmetic creams containing iodine or thyroid hormones.

These depictions were a large part of the artist ’ s greater body of work containing several renowned pieces of the Virgin.

Tablet from the Library of Ashurbanipal containing part of the Epic of Gilgamesh

A large, mostly shallow, irregularly shaped lagoon, containing a number of small islets, fills the east central part of the island.

Often, these camps were part of a larger complex containing a filling station and café.

Manuscripts containing at least a part of the New Testament number in the thousands.

The formation of an open cluster begins with the collapse of part of a giant molecular cloud, a cold dense cloud of gas and dust containing up to many thousands of times the mass of the Sun.

The μA741 is still in production, and has become ubiquitous in electronics — many manufacturers produce a version of this classic chip, recognizable by part numbers containing 741.

It was a fortuitous accident: in his laboratory in the basement of St. Mary's Hospital in London ( now part of Imperial College ), Fleming noticed a Petri dish containing Staphylococcus plate culture he mistakenly left open, was contaminated by blue-green mould, which formed a visible growth.

* Souvenir sheet — a commemorative issue in large format valid for postage often containing a perforated or imperforate stamp as part of its design.

In Croatia and Bulgaria is used for soups or with mashed potatoes, or as part of a traditional dish containing eel and other green herbs.

It is mostly covered by tropical rain forest, containing a great diversity of flora and fauna that, for the most part, are increasingly threatened by new development.

The thing can be made to look like the cluttered attic of a large and vigorous family -- a motley jumble of discarded objects, some outworn and some that were never useful, some once whole and bright but now chipped and tarnished, some odd pieces whose history no one remembers, here and there a gem, everything fascinating because it suggests some part of the human condition -- the whole adding up to nothing more than a glimpse into the disorderly history of the makers and users.

In the first part, Hume discusses how the objects of inquiry are either " relations of ideas " or " matters of fact ", which is roughly the distinction between analytic and synthetic propositions.

Because it occupies a part of the celestial sphere that faces away from the Milky Way, Antlia contains very few deep-sky objects.

Black is the color of objects that do not emit or reflect light in any part of the visible spectrum ; they absorb all such frequencies of light.

As part of its very large website, the museum has the largest online database of objects in the collection of any museum in the world, with 2, 000, 000 individual object entries, 650, 000 of them illustrated, online at the start of 2012.

Egyptian antiquities have formed part of the British Museum collection ever since its foundation in 1753 after receiving 160 Egyptian objects from Sir Hans Sloane.

Macaque monkeys drum objects in a rhythmic way to show social dominance and this has been shown to be processed in a similar way in their brains to vocalizations suggesting an evolutionary origin to drumming as part of social communication.

In the 21st century, it is not uncommon for drummers to use a variety of auxiliary percussion instruments, found objects, and electronics as part of their " drum " kits.

Formal-ontological categories relate objects and include notions such as set, cardinal number, ordinal number, part and whole, relation, and so on.

Consequently, in intentional activities, even non-existent objects can be constituted, and form part of the whole noema.

Equality is when two objects are exactly the same, and everything that's true about one object is true about the other, while an isomorphism implies everything that's true about a designated part of one object's structure is true about the other's.

The invisible balance or balance of trade on services is that part of the balance of trade that refers to services and other products that do not result in the transfer of physical objects.

After making this claim Dinsdale discusses that these objects are too hard to identify, but that just proves that they could be part of the monster.

According to Dinsdale either the objects are part of a very subtle fake or genuinely part of the monster.

The Lagrangian points (; also Lagrange points, L-points, or libration points ) are the five positions in an orbital configuration where a small object affected only by gravity can theoretically be part of a constant-shape pattern with two larger objects ( such as a satellite with respect to the Earth and Moon ).

A " smith " of any type is one who shapes metal pieces, often using a forge or mould, into useful objects or to be part of a more complex structure.

Many more microprocessors are part of embedded systems, providing digital control of a myriad of objects from appliances to automobiles to cellular phones and industrial process control.

Territorial disputes with Colombia over the Archipelago de San Andres y Providencia and Quita Sueno Bank ; with respect to the maritime boundary question in the Golfo de Fonseca, the ICJ referred to the line determined by the 1900 Honduras-Nicaragua Mixed Boundary Commission and advised that some tripartite resolution among El Salvador, Honduras, and Nicaragua likely would be required ; maritime boundary dispute with Honduras in the Caribbean Sea ; Nicaragua is sovereign over the Rio San Juan, and by treaty Costa Rica has the right to navigate over part of the river with ' objects of commerce '.

For example, manufactured objects and human interaction generally are not considered part of nature, unless qualified as, for example, " human nature " or " the whole of nature ".

The most widely accepted hypothesis is that the Oort cloud's objects initially coalesced much closer to the Sun as part of the same process that formed the planets and asteroids, but that gravitational interaction with young gas giant planets such as Jupiter ejected the objects into extremely long elliptic or parabolic orbits.

* Quantum mechanics: In quantum mechanics, which deals with the behavior of very small objects, it is not possible to observe a system without changing the system, and the " observer " must be considered part of the system being observed.

Paraphilia ( from Greek para παρά = beside and-philia φιλία = friendship, meaning love ) is sexual arousal to objects, situations, or individuals that are not part of normative stimulation.