This method in general solved the problem of obtaining fairly equal concentrations of reactants in each of the six cells from a set.

The set of all binomial distributions is called the family of binomial distributions, but in general discussions this expression is often shortened to `` the binomial distribution '', or even `` the binomial '' when the context is clear.

The purpose set forth at the beginning of this book was first to introduce the reader to a general background knowledge of the various types and capabilities of the forecasting methods already in use, so that he might then be in a position to evaluate for himself the validity of the rather astonishing empirical correlation that is to follow, and to appraise the forecast that its interpretation suggests for the future of farm prices over the years immediately ahead.

By-passing the military junta which has ruled Turkey since the overthrow of Premier Adnan Menderes 17 months ago, the army general staff, led by Gen. Cedvet Sunay, had set a deadline for the parties to join in a national coalition government.

An alphabet is a standard set of letters ( basic written symbols or graphemes ) which is used to write one or more languages based on the general principle that the letters represent phonemes ( basic significant sounds ) of the spoken language.

This is not the most general situation of a Cartesian product of a family of sets, where a same set can occur more than once as a factor ; however, one can focus on elements of such a product that select the same element every time a given set appears as factor, and such elements correspond to an element of the Cartesian product of all distinct sets in the family.

As a gemstone set into jewelry it is vulnerable to breakage and abrasion from general wear, as its hardness and toughness are poor.

In 1991, BCI published a reference guide containing 2300 vocabulary items and detailed rules for the graphic design of additional characters, so they settled a first set of approved Bliss-words for general use.

It was later realized that Einstein's model was just one of a larger set of possibilities, all of which were consistent with general relativity and the cosmological principle.

Guidelines and the general structure for Colombia's administration of justice are set out in Law 270 of March 7, 1996.

In mathematics, specifically general topology and metric topology, a compact space is a mathematical space in which any infinite collection of points sampled from the space must — as a set — be arbitrarily close to some point of the space.

In general topological spaces, however, the different notions of compactness are not necessarily equivalent, and the most useful notion, introduced by Pavel Alexandrov and Pavel Urysohn in 1929, involves the existence of certain finite families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.

In general topological spaces, however, the different notions of compactness are not equivalent, and the most useful notion of compactness — originally called bicompactness — involves families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.

Although Cantor himself defined the set in a general, abstract way, the most common modern construction is the Cantor ternary set, built by removing the middle thirds of a line segment.

Cantor himself only mentioned the ternary construction in passing, as an example of a more general idea, that of a perfect set that is nowhere dense.

After Pope Pius II, in his bull Execrabilis ( 1460 ) and his reply to the University of Cologne ( 1463 ), set aside the theory of the supremacy of general councils laid down by the Council of Constance

A rebellious Assyrian general Sin-shumu-lishir briefly set himself up as king in both Assyria and Babylon, but was ousted by Ashur-etil-ilani, the legitimate king of Assyria and its empire.

"... hen we form a set of phenomena into a class, that is, when we compare them with one another to ascertain in what they agree, some general conception is implied in this mental operation " ( A System of Logic, Book IV, Ch.

The subgroup of generated by all commutators is called the derived group or the commutator subgroup of G. Note that one must consider the subgroup generated by the set of commutators because in general the set of commutators is not closed under the group operation.

The time when Cyril was Bishop of Jerusalem was one of general tolerance, however, as set forth by the ecumenist Emperor Constantius who was preoccupied with unity.

The general formula is set out in section 38 ( 1 ), known as the " 7 / 50 formula ", requires: ( a ) assent from both the House of Commons and the Senate ; ( b ) the approval of two-thirds of the provincial legislatures ( at least seven provinces ) representing at least 50 % of the population ( effectively, this would include at least Quebec or Ontario, as they are the most populous provinces ).

Concepts of centripetal and centrifugal force played a key early role in establishing the set of inertial frames of reference and the significance of fictitious forces, even aiding in the development of general relativity in which gravity itself becomes a fictitious force.

While it had long been known in general, that `` the public is always wrong '', the use of odd-lot indices now puts the adage on a statistical basis.

In particular, social sciences often develop statistical descriptions rather than the general laws derived in physics or chemistry, or they may explain individual cases through more general principles, as in many fields of psychology.

For example: as cultures change and the political environment shifts, societies may criminalise or decriminalise certain behaviours, which directly affects the statistical crime rates, influence the allocation of resources for the enforcement of laws, and ( re -) influence the general public opinion.

In addition to general purpose calculators, there are those designed for specific markets ; for example, there are scientific calculators which include trigonometric and statistical calculations.

They were originally identified as outliers to a general trend of decreasing extinction rates during the Phanerozoic, but as more stringent statistical tests have been applied to the accumulating data, the " Big Five " cannot be so clearly defined, but rather appear to represent the largest ( or some of the largest ) of a relatively smooth continuum of extinction events.

This Extra Volume took a more general and statistical approach to its subject than Volumes 1 to 3.

Some language acquisition researchers, such as Elissa Newport, Richard Aslin, and Jenny Saffran, believe that language acquisition is based primarily on general learning mechanisms, namely statistical learning.

Tasks that fall within the paradigm of unsupervised learning are in general estimation problems ; the applications include clustering, the estimation of statistical distributions, compression and filtering.

The machine-learning paradigm calls instead for using general learning algorithms — often, although not always, grounded in statistical inference — to automatically learn such rules through the analysis of large corpora of typical real-world examples.

Some other statistical models are the general linear model ( restricted to continuous dependent variables ), the generalized linear model ( for example, logistic regression ), the multilevel model, and the structural equation model.

Statistical assumptions are general assumptions about statistical populations.

He introduced the concept of phase space and used it to define the microcanonical, canonical, and grand canonical ensembles, thus obtaining a more general formulation of the statistical properties of many-particle systems than what Maxwell and Boltzmann had achieved before.

of the scattering objects, while, in general, the statistical properties of near field

This is a focus on the highly-specialized and highly-accurate algorithmic derivations and statistical calculations that are less often observed in the typical general business environment.

Conventional usage of the terms data processing and information systems restricts their use to refer to the algorithmic derivations, logical deductions, and statistical calculations that recur perennially in general business environments, rather than in the more expansive sense of all conversions of real-world measurements into real-world information in, say, an organic biological system or even a scientific or engineering system.

The most general definition of climate change is a change in the statistical properties of the climate system when considered over long periods of time, regardless of cause.

In general, the broadening is intermediate between Lorentzian and Gaussian ; for an alloy it is somewhat closer to Gaussian because of strong scattering from statistical fluctuations in the local composition on a nanometer scale.

* 1876 – Josiah Willard Gibbs publishes the first of two papers ( the second appears in 1878 ) which discuss phase equilibria, statistical ensembles, the free energy as the driving force behind chemical reactions, and chemical thermodynamics in general.

* 1945 – 1946 – Nikolay Bogoliubov develops a general method for a microscopic derivation of kinetic equations for classical statistical systems using BBGKY hierarchy.

Thus, the general notion of a statistical ensemble with nearest-neighbor interactions leads to Markov random fields, which again find broad applicability ; for example in Hopfield networks.

Here it is convenient to follow the terminology used by the Cochrane Collaboration, and use " meta-analysis " to refer to statistical methods of combining evidence, leaving other aspects of ' research synthesis ' or ' evidence synthesis ', such as combining information from qualitative studies, for the more general context of systematic reviews.

In 1987, he was awarded the National Medal of Technology: " For his forceful promotion of statistical methodology, for his contributions to sampling theory, and for his advocacy to corporations and nations of a general management philosophy that has resulted in improved product quality.

History of Madison County, Indiana, from 1820 to 1874: Giving a general review of principal events, statistical and historical items, derived from official sources .. Lewis Publishing Company ( 1874 ).

A state statistical report for the years 1907 and 1908 reported in had 175 residents and three general stores and was served by the Bell telephone system.