Another equivalent axiom only considers collections X that are essentially powersets of other sets:

There are online applet collections for studying various subjects, from physics to heart physiology.

Applets are also used to create online game collections that allow players to compete against live opponents in real-time.

Music and Architecture collections are housed in facilities within the schools of Music and Architecture, respectively.

There are several potential sources of error in such data collections.

Many stories are also told about him in various collections of sayings of the Desert Fathers.

In the United States, the largest public collections are those in the Special Collections of the Free Library of Philadelphia, and the Lloyd Cotsen Children ’ s Library at Princeton University.

The collections of ancient jewellery and bronzes, Greek vases and Roman glass and silver are particularly important.

Although the collections centre on Mesopotamia most of the surrounding areas are well represented.

The holdings are easily accessible to the general public in the Study Room, unlike many such collections.

There are groups of drawings by Leonardo da Vinci, Raphael, Michelangelo, ( including his only surviving full-scale cartoon ), Dürer ( a collection of 138 drawings is one of the finest in existence ), Peter Paul Rubens, Rembrandt, Claude and Watteau, and largely complete collections of the works of all the great printmakers including Dürer ( 99 engravings, 6 etchings and most of his 346 woodcuts ), Rembrandt and Goya.

There are about a million British prints including more than 20, 000 satires and outstanding collections of works by William Blake and Thomas Bewick ..

In particular, the British Museum ’ s collections covering the period AD 300 to 1100 are among the largest and most comprehensive in the world, extending from Spain to the Black Sea and from North Africa to Scandinavia.

The Elgin Marbles, Benin Bronzes and the Rosetta Stone are among the most disputed objects in its collections, and organisations have been formed demanding the return of these artefacts to their native countries of Greece, Nigeria and Egypt respectively.

There were not, in antiquity, as there are today, single-volume collections of all of Sacred Scripture which most Christians have in codex form in their homes and places of worship.

Design theory is a study of combinatorial designs, which are collections of subsets with certain intersection properties.

Charged polyatomic collections residing in solids ( for example, common sulfate or nitrate ions ) are generally not considered " molecules " in chemistry.

Registry Sets are private collections of coins verified for ownership and quality by numismatic grading services.

Furthermore, grading services are not free, and by using them collectors funnel money into an ancillary aspect of the hobby, instead of purchasing additional material for their collections.

Covalent bonds often result in the formation of small collections of better-connected atoms called molecules, which in solids and liquids are bound to other molecules by forces that are often much weaker than the covalent bonds that hold the molecules internally together.

All these collections, with the Decretum Gratiani, are together referred to as the Corpus Juris Canonici.

Much of National CNDs historical archive is at the Modern Records Centre at the University of Warwick and the London School of Economics, although records of local and regional groups are spread throughout the country in public and private collections.

According to some ancient Greek collections, canons 29 and 30 are attributed to the council: canon 29, which states that an unworthy bishop cannot be demoted but can be removed, is an extract from the minutes of the 19th session ; canon 30, which grants the Egyptians time to consider their rejection of Leo's Tome, is an extract from the minutes of the fourth session.

Examples of these are collections of documents, spreadsheets, presentations, multimedia, and other files.

The Department of Prehistory and Europe is responsible for collections that cover a vast expanse of time and geography.

Amongst the vast Neolithic collections of the Carnac stones in Brittany, France, several dozen dolmens are found.

Napoleon's campaigns acquired Italian pieces by treaties, as war reparations, and Northern European pieces as spoils as well as some antiquities excavated in Egypt, though the vast majority of the latter were seized as war reparations by the British army and are now part of collections of the British Museum.

Lute music flourished during the 16th and 17th centuries: numerous composers published collections of their music, and modern scholars have uncovered a vast number of manuscripts from the era — however, much of the music is still lost.

Darwin borrowed Charles Lyell's argument in Principles of Geology that the record is extremely imperfect as fossilisation is a very rare occurrence, spread over vast periods of time ; since few areas had been geologically explored, there could only be fragmentary knowledge of geological formations, and fossil collections were very poor.

In December 1942, some 1, 400 irreplaceable manuscript codices, chiefly patristic and historical, besides a vast number of documents relating to the history of the abbey, and the collections of the Keats-Shelley Memorial House in Rome had been sent to the abbey archives for safekeeping.

Nizhny Novgorod has a great and extraordinary art gallery with more than 12, 000 exhibits, an enormous collection of works by Russian artists such as Viktor Vasnetsov, Karl Briullov, Ivan Shishkin, Ivan Kramskoi, Ilya Yefimovich Repin, Isaak Iljitsch Lewitan, Vasily Surikov, Ivan Aivazovsky, there are also greater collections of works by Boris Kustodiev and Nicholas Roerich, not only Russian art is part of the exhibition it include also a vast accumulation of Western European art like works by David Teniers the Younger, Bernardo Bellotto, Lucas Cranach the Elder, Pieter de Grebber, Giuseppe Maria Crespi, Giovanni Battista Piranesi, and lot more.

The museum has 145 galleries, but given the vast extent of the collections only a small percentage is ever on display.

Unfortunately most of the great collections amassed by John V and the Portuguese aristocracy, along with the vast majority of the city of Lisbon were suddenly destroyed by the great earthquake of 1755 followed by a tsunami and fire.

In some instances, collectors donated vast book collections.

The text is that of Robertus Stephanus ( 1550 ), but the notes, besides including all previously existing collections of various readings, add a vast number derived from his own examination of many new manuscripts, and Oriental versions ( the latter unfortunately he used only in the Latin translations ).

Hampton's father died in 1858 and the son inherited a vast fortune, the plantations, and one of the largest collections of slaves in the South.

Penn Museum followed this practice in acquiring the vast majority of its collections, and, as a result, most of the Museum's objects have a known archaeological context, increasing their value for archaeological and anthropological research and presentation.

Prior to becoming home to his vast collections from his many travels, " The Castle ", as it is known, was once a hotel which played host to many famous guests, including Ripley himself and author / owner Marjorie Kinnan Rawlings.

The filmmakers were the first journalists to have open access to the vast collections of Fuller's personal papers.

It has vast collections of books and artifacts touching on all aspects of the built environment and certain aspects of industrial design.

Many maintain vast collections of functional and non-functional systems, which are lovingly maintained and discussed on worldwide user forums.

In the 1830s through the 1850s vast zoological collections were received by the museum from different regions of the Russian Empire, including Russian America, and through collection exchanges with foreign Museums, but there weren't enough cabinets and cases.

She was his housekeeper, nanny to his children, secretary, " confidante " and later scientific partner who studied and eventually documented the vast collections of bird lice that Meinertzhagen had gathered.

The vast number of these collections has given us the opportunity to reconstruct with considerable confidence the principal ideas of the cult.

The Peace Mission no longer publishes literature but its vast archive of printed and recorded words of Father Divine, Mother Divine as well as various Peace Mission films and pictures are available to researchers and scholars in various special collections in libraries in major universities across the USA.

Pennsylvania school district revenues are dominated by two main sources: 1 ) Property tax collections, which account for the vast majority ( between 75-85 %) of local revenues ; and 2 ) Act 511 tax collections, which are around 15 % of revenues for school districts.

In 1935 after lengthy negotiations Ca ' Rezzonico was acquired by City Council of Venice to display the vast collections of 18th century Venetian art, which lack of space prevented its display in the Correr Museum.