The notion of infinitesimally small quantities was discussed by the Eleatic School.

The symmetry of the model space is then built in to the Cartan geometry or pseudogroup structure by positing that the model spaces of nearby points are related by a transformation in G. The fundamental difference between a Cartan geometry and pseudogroup geometry is that the symmetry for a Cartan geometry relates infinitesimally close points by an infinitesimal transformation in G ( i. e., an element of the Lie algebra of G ) and the analogous notion of symmetry for a pseudogroup structure applies for points that are physically separated within the manifold.

In the eighteenth century there emerges for the first time the notion of a private tragedy ( or nearly for the first time, there having been a small number of Elizabethan domestic tragedies such as the famous Arden Of Feversham ).

For if the small group notion involves the implicit claim that the phenomena of sociological investigations are of atomic or subatomic proportions, the philosopher needs to know the extent to which such entities are valid.

That notion is central for explaining how formal systems come into being starting from a small set of axioms and rules.

This notion can also be defined locally, i. e. for small neighborhoods of points.

Until recently, the Preclassic was regarded as a formative period, consisting of small villages of farmers who lived in huts and few permanent buildings, but this notion has been challenged by recent discoveries of monumental architecture from that period, such as an altar in La Blanca, San Marcos, from 1000 BC ; ceremonial sites at Miraflores and El Naranjo from 801 BC ; the earliest monumental masks ; and the Mirador Basin cities of Nakbé, Xulnal, El Tintal, Wakná and El Mirador.

The success of the De Leonist plan depends on achieving majority support among the people both in the workplaces and at the polls, in contrast to the Leninist notion that a small vanguard party should lead the working class to carry out the revolution.

Government Phonology, which originated in the early 1980s as an attempt to unify theoretical notions of syntactic and phonological structures, is based on the notion that all languages necessarily follow a small set of principles and vary according to their selection of certain binary parameters.

For example: an apparition of John Wayne is a recurring character and serves as a sort of spiritual guide or conscience for Custer ; Monument Valley and The Alamo serve as backdrops to various legs of the journey ; for a time, Jesse acts as the sheriff of a small town in Texas, and must protect the inhabitants from harm ; the image of the Saint of Killers, a reformed bounty hunter-turned-killer-once-more in the tradition of Clint Eastwood's Unforgiven character, William Munny, is a nod to the classic Western notion of nemesis, straight and true and terrible.

Two elements which have not been discredited are the recognition of the existence of note lengthening, and the notion of ' nuancing ', i. e., altering note durations by very small, non-proportional values.

From the 5th century BC, the copies of the statue of Zeus found were small copies on coins of Elis, which give us but a general notion of the pose, and the character of the head.

The notion of terrorist organizations using nuclear weapons ( especially very small ones, such as suitcase nukes ) has been a threat in American rhetoric and culture.

It can now run atop TCP with a small adaptation layer that adds a packet length to each SMB message ; this is necessary because TCP only provides a byte-stream service with no notion of packet boundaries.

To at least one teenager in a small town ( though I ’ m sure we were a multitude ), Jean Arthur suggested strongly that the ideal woman could be – ought to be – judged by her spirit as well as her beauty … The notion of the woman as a friend and confidante, as well as someone you courted and were nuts about, someone whose true beauty was internal rather than external, became a full-blown possibility as we watched Jean Arthur.

Alexander had by 1930 defined a first cochain notion, based on a p-cochain on a space X having relevance to the small neighborhoods of the diagonal in X < sup > p + 1 </ sup >.

For Gnostics, every human being is born with a small piece of God's soul lodged within his / her spirit ( akin to the notion of a ' Divine Spark ').

When the gravity field becomes very weak ( the masses are too small or too distant from the point of interest ), the notion of being horizontal loses its meaning.

BPEL's development came out of the notion that programming in the large and programming in the small required different types of languages.

The notion of gremlins was first conceived during World War II, when mechanical failures in aircraft were jokingly blamed on the small monsters.

When the book was published, it was common to wish to live in purportedly " wholesome " small towns like Gopher Prairie ; a notion denounced by Main Streets vicious realism and biting humor.

The success of the De Leonist plan depends on achieving majority support among the people both in the workplaces and at the polls, in contrast to the Leninist notion that a small vanguard party should lead the working class to carry out the revolution.

But there are other biblical references which are not compatible with the notion of a small Canaanite hill tribe.

The doctrine is not a written document but rather inspired by the former Danish Foreign Minister Uffe Ellemann-Jensen's term of office in which he promoted the notion that a small country can gain influence by supporting those greater countries that share the same values and ideas, which the small country itself embraces.

For example, the notion of gauge invariance forms the basis of the well-known Mattis spin glasses, which are systems with the usual spin degrees of freedom for i = 1 ,..., N, with the special fixed " random " couplings Here the ε < sub > i </ sub > and ε < sub > k </ sub > quantities can independently and " randomly " take the values ± 1, which corresponds to a most-simple gauge transformation This means that thermodynamic expectation values of measurable quantities, e. g. of the energy are invariant.

Other physical examples come from thermodynamics, where many of the quantities of interest can be considered vectors in a space with no notion of length or angle.

Leibniz, quantities which could not actually exist except conceptually, the founder of Lettrism, Isidore Isou, developed the notion of a work of art which, by its very nature, could never be created in reality, but which could nevertheless provide aesthetic rewards by being contemplated intellectually.

Leibniz, quantities which could not actually exist except conceptually, the Letterists developed the notion of a work of art which, by its very nature, could never be created in reality, but which could nevertheless provide aesthetic rewards by being contemplated intellectually.

One test of this notion is to look at the age of large igneous provinces ( LIPs ), the extrusion of which would presumably have been accompanied by rapid effusion of vast quantities of volcanogenic gases such as carbon dioxide.

Leibniz, quantities which could not actually exist except conceptually, the founder of Lettrism, Isidore Isou, developed the notion of a work of art which, by its very nature, could never be created in reality, but which could nevertheless provide aesthetic rewards by being contemplated intellectually.

Yet, after Rousseau had given the social contract a new twist with his notion of the General Will, the same philosophy, it may be said, became the idea source of the French Revolution also.

He said he was a friend of Heywood Broun who had run a free employment bureau for several months during the depression, but the generous Broun to whom I wrote did not know his name and I somehow conceived the morbid notion that the man in question was prowling round the house.

The Angels in turn would exercise similar restraints in respect for the natural preferences and natures of the Earthmen -- but they had no faintest notion of man's perverse habit of passing and enforcing laws which were contrary to his own preferences and violations of his nature.

According to D. C. Congressional Delegate Eleanor Holmes Norton, Hill's treatment by the panel also contributed to the large number of women elected to Congress in 1992, " women clearly went to the polls with the notion in mind that you had to have more women in Congress ", she said.

It had been hoped that patient adherence to antipsychotics would be higher with the atypicals, but a 2008 review found that the data have failed to substantiate the notion that novel antipsychotic drug use leads to improved medication compliance and favorable clinical outcomes.

The first tour, although unsanctioned by rugby bodies, had established the notion of touring Northern Hemisphere sporting sides to Southern Hemisphere locations.

Skeat “… in at least three cases and probably in all, in the form of codices " and he theorized that this form of notebook was invented in Rome and then “… must have spread rapidly to the Near East …” In his discussion of one of the earliest pagan parchment codices to survive from Oxyrhynchus in Egypt, Eric Turner seems to challenge Skeat ’ s notion when stating “… its mere existence is evidence that this book form had a prehistory ” and that “ early experiments with this book form may well have taken place outside of Egypt .” Early codices of parchment or papyrus appear to have been widely used as personal notebooks, for instance in recording copies of letters sent ( Cicero Fam.

However, a different notion of compactness altogether had also slowly emerged at the end of the 19th century from the study of the continuum, which was seen as fundamental for the rigorous formulation of analysis.

The Chinese had a somewhat different series of elements, namely Fire, Earth, Metal, Water and Wood, which were understood as different types of energy in a state of constant interaction and flux with one another, rather than the Western notion of different kinds of material.

The notion of a second commercial broadcaster in the United Kingdom had been around since the inception of ITV in 1954 and its subsequent launch in 1955 ; the idea of an ' ITV2 ' was long expected and pushed for.

Early in the 20th century, the notion that belief had to be justified as such to count as knowledge lost favour.

Before the question could be answered, the notion of " algorithm " had to be formally defined.

The 15th century exploration of America by European explorers had an important role in formulating new notions of the Occidental, such as, the notion of the " Other ".

In one correspondence, Murad entertained the notion that Islam and Protestantism had " much more in common than either did with Roman Catholicism, as both rejected the worship of idols ", and argued for an alliance between England and the Ottoman Empire.

He therefore argued that, while some individuals may have henotheistically chosen one god to worship, Egyptian religion as a whole had no notion of a divine being beyond the immediate multitude of deities.

Not only had he largely excluded them from the often lucrative levers of government, but he also enacted the country's first income tax, fostered the growth of labor unions, and suggested that voodoo be considered as a religion equivalent to Roman Catholicism — a notion that the Europeanized elite abhorred.

Nazi racial policies, including the notion that people who were racially inferior had no right to live, date back to the earliest days of the party ; Hitler discusses this in Mein Kampf.

However, according to Nelson, the concept of transclusion had already formed part of his 1965 description of hypertext ; he also interprets the notion of " trails " in Vannevar Bush's 1945 essay As We May Think as describing transclusion rather than hyperlinks.

Jesuits had brought with them various books, engravings, and paintings and, when they saw the delight Akbar held for them, sent for more and more of the same to be given to the Mughals, as they felt they were on the " verge of conversion ," a notion which proved to be very false.

In the Critique Sartre set out to give Marxism a more vigorous intellectual defense than it had received until then ; he ended by concluding that Marx's notion of " class " as an objective entity was fallacious.

The notion of a weak form of a disease causing immunity to the virulent version was not new ; this had been known for a long time for smallpox.

He had the fanciful notion that commercial airliners would land between the huge skyscrapers.