Besides its frequent revision, DDC's main advantage over its chief American rival, the Library of Congress Classification system developed shortly afterward, is its simplicity.

DDC's decimal system means that it is less hospitable to the addition of new subjects, as opposed to Library of Congress Classification, which has 21 classes at the top level.

The expectation of obtaining these sinecures drew young men towards the church in considerable numbers, and the class of abbés so formed — abbés de cour they were sometimes called, and sometimes ( ironically ) abbés de sainte espérance, ( abbés of holy hope ; or the pun, of St. Hope )— came to hold a recognized position.

These include all quadratic surds, all rational numbers, and all numbers that can be formed from these using the basic arithmetic operations and the extraction of square roots.

Beechcraft was not Beech's first company, as he had previously formed Travel Air in 1924 and the design numbers used at Beechcraft followed the sequence started at Travel Air, and were then continued at Curtiss-Wright, after Travel Air had been absorbed into the much larger company in 1929.

This shows in particular that is a natural number for any natural numbers n and k. There are many other combinatorial interpretations of binomial coefficients ( counting problems for which the answer is given by a binomial coefficient expression ), for instance the number of words formed of n bits ( digits 0 or 1 ) whose sum is k is given by, while the number of ways to write where every a < sub > i </ sub > is a nonnegative integer is given by.

In supernova explosions, calcium is formed from the reaction of carbon with various numbers of alpha particles ( helium nuclei ), until the most common calcium isotope ( containing 10 helium nuclei ) has been synthesized.

These numbers are formed from a construction due to Gregory Chaitin.

Braille ( a writing system for the blind ) uses either 6 or 8 tactile ' points ' from which all letters and numbers are formed.

), strings ( delimited with double quotes ), integer numbers, symbolic constants ( e. g. GENERIC, TIE, RIPPER for cell types ) and " Identifiers ", which are reference labels formed from a very restricted set of characters.

The Fantasy Sports Writers Association was formed in 2004 to represent the growing numbers of journalists covering fantasy sports exclusively.

The Duchy of Warsaw was formed over these territorial losses, and Polish troops entered the Grande Armée in significant numbers.

The integers ( from the Latin integer, literally " untouched ," hence " whole ": the word entire comes from the same origin, but via French ) are formed by the natural numbers ( including 0 ) ( 0, 1, 2, 3, ...) together with the negatives of the non-zero natural numbers (− 1, − 2, − 3, ...).

The failure of the recently formed Red Army to resist the German offensive in February 1918 revealed its weaknesses: insufficient numbers, lack of knowledgeable officers, and near absence of coordination and subordination.

In the late 10th century, a new unit of the imperial bodyguard was formed which traditionally contained large numbers of Scandinavians.

The first commercial networks in Australia involved commercial stations in Sydney, Melbourne, Brisbane, Adelaide, and later Perth, sharing programming, with each network forming networks based on their allocated channel numbers: TCN-9 Sydney, GTV-9 Melbourne, QTQ-9 Brisbane, NWS-9 Adelaide and STW-9 Perth together formed the Nine Network, while their equivalents on VHF channels 7 and 10 formed the Seven Network and Network Ten respectively.

Arrays may also be formed using numbers of very closely spaced microphones.

The new Republican Party was not fully formed, and significant numbers of politicians, mostly former Whigs, ran for office under the Opposition label.

The limits of the application of reductionism become especially evident at levels of organization with higher amounts of complexity, including culture, neural networks, ecosystems, and other systems formed from assemblies of large numbers of interacting components.

) Numbers are formed by pairing subsets of numbers already constructed: given subsets L and R of numbers such that all the members of L are strictly less than all the members of R, then the pair

Music writers have also applied the term, wrongly in the context of this article, to bands or vocal groups that sold huge numbers of albums, headlined massive concerts or have a high celebrity or media status, regardless of the previous ( or even subsequently acquired ) fame of their individual members, such as the band Led Zeppelin, wherein only Jimmy Page was well known at the time the group formed.

This problem of the optimum balance in the relative numbers of generalists and specialists can be investigated on a communicative network basis.

Commuter rail, also called suburban rail, is a passenger rail transport service that primarily operates between a city center, and the middle to outer suburbs beyond 15 km ( 10 miles ) and commuter towns or other locations that draw large numbers of commuters — people who travel on a daily basis.

In some contexts, numbers and letters are used not so much as a basis for establishing an ordering, but as a means of labeling items that are already ordered.

If the matrix entries are real numbers, the matrix can be used to represent two linear mappings: one that maps the standard basis vectors to the rows of, and one that maps them to the columns of.

According to Rummel, these were not cases of genocide because those who were killed were not selected on the basis of their race, but were killed in large numbers as a result of government policies.

It is a very useful tool for organizing and keeping track of naval vessels, and also provides the basis for the identification numbers painted on the bows ( and frequently the sterns ) of most U. S. Navy ships.

Hence, Moseley's discovery demonstrated that the atomic numbers of elements are not just rather arbitrary numbers based on chemistry and the intuition of chemists, but rather, they have a firm experimental basis from the physics of their X-ray spectra.

Moseley's discovery showed that atomic numbers were not arbitrarily assigned, but rather, they have a strong physical basis.

) Similarly, there is no statistical basis for the belief that a losing sports team is due to win a game or that lottery numbers which haven't appeared recently are due to appear soon.

The periodic table is a tabular display of the chemical elements, organized on the basis of their atomic numbers, electron configurations, and chemical properties.

A product that had had a large appeal to a limited market on the basis of one seasoning now had a degree of market penetration through vast numbers of seasonings.

This proved to be quite an inconvenience for postal clerks and businesses, both of which had to deal with large numbers of individual stamps on a daily basis.

When viewed in this way the numbers x < sub > 1 </ sub >, ..., x < sub > n </ sub >, and y < sub > 1 </ sub >, ..., y < sub > n </ sub > are the components of x and y with respect to an orthonormal basis of V.

where g < sub > 1 </ sub > and g < sub > 2 </ sub > are complex numbers representing the change in amplitude and phase caused in each of the two propagation modes, and T is a unitary matrix representing a change of basis from these propagation modes to the linear system used for the Jones vectors.

Since the late 1990s increasing numbers of women have taken up weight training, influenced by programs like Body for Life ; currently nearly one in five U. S. women engages in weight training on a regular basis.

The surface forces, moreover, are so weak and so few in numbers vis-à-vis the British fleet that the only course open to them-presupposing their active employment-is to show that they know how to die gallantly and thereby to create the basis for an eventual rebirth in the future ".

It will be assumed that the space of fundamental and derived physical units forms a vector space over the rational numbers, with the fundamental units as basis vectors, and with multiplication of physical units as the " vector addition " operation, and raising to powers as the " scalar multiplication " operation:

Hence, ũ can directly be identified with the nilpotent element of the Dual numbers ' basis.

This leads to the split-complex numbers which have normalized basis with.

This leads to the complex numbers which have normalized basis with.

The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa ; this is the basis of analytic geometry.

Write each state with the value q of the physical quantity as a vector in some basis, a list of numbers at each value of n for the vector which has value q for the physical quantity.