In 2001, Jean-Pierre Vigier emphasized the importance of deriving a well-defined description of light in terms of particle trajectories in the framework of either the Bohmian mechanics or the Nelson stochastic mechanics.

Every peculiarity of diction, every particle, every sign, is to be considered as of higher importance, as having a wider relation and as being of deeper meaning than it seems to have.

Colloidal properties such as particle size, particle size distribution, and viscosity are of critical importance to the performance of these dispersions.

Pullman's Dust is a fictional form of dark matter, an elementary particle that is of fundamental importance.

Example 2: We now consider a simple bundle of importance in physics: The configuration space of a particle with spin ½ confined to a plane, which is also the base manifold.

Sequential importance resampling ( SIR ), the original particle filtering algorithm ( Gordon et al.

Einstein considered the equivalency equation to be of paramount importance because it showed that a massive particle possesses an energy, the " rest energy ", distinct from its classical kinetic and potential energies.

Einstein considered the equivalency equation to be of paramount importance because it showed that a massive particle possesses an energy, the " rest energy ", distinct from its classical kinetic and potential energies.

Henry Way Kendall ( December 9, 1926 – February 15, 1999 ) was an American particle physicist who won the Nobel Prize in Physics in 1990 jointly with Jerome Isaac Friedman and Richard E. Taylor " for their pioneering investigations concerning deep inelastic scattering of electrons on protons and bound neutrons, which have been of essential importance for the development of the quark model in particle physics.

During the Triassic Period (), the reptiles began to out-compete the amphibians, leading to a reduction in both the amphibians ' size and their importance in the biosphere.

* The hypothalamus is a small region at the base of the forebrain, whose complexity and importance belies its size.

During the Hellenistic period, the town was of some mercantile importance, although by the first century it had dwindled greatly in size and significance.

Quantitative symbols give a visual measure of the relative size / importance / number that a symbol represents and to symbolize this data on a map, there are two major classes of symbols used for portraying quantitative properties.

In a study of the use of econometrics in major economics journals, McCloskey concluded that economists report p values ( following the Fisherian tradition of tests of significance of point null-hypotheses ), neglecting concerns of type II errors ; economists fail to report estimates of the size of effects ( apart from statistical significance ) and to discuss their economic importance.

Georgia's location, nestled between the Black Sea, Russia, and Turkey, gives it strategic importance far beyond its size.

The history of Gibraltar portrays how The Rock gained an importance and a reputation far exceeding its size, influencing and shaping the people who came to reside here over the centuries.

The importance of setting is noted in a London review of the Castle of Otranto, “ He describes the country towards Otranto as desolate and bare, extensive downs covered with thyme, with occasionally the dwarf holly, the rosa marina, and lavender, stretch around like wild moorlands … Mr. Williams describes the celebrated Castle of Otranto as “ an imposing object of considerable size … has a dignified and chivalric air.

Albania played a role in the Sino-Soviet split far outweighing either its size or its importance in the communist world.

However, as dealings with foreigners became increasingly complicated and frequent, the office grew in size and importance, aided by revenue from customs duties which came under its direct jurisdiction.

Although the settlement was much reduced in size, the citadel remained occupied though it never regained its earlier importance.

The reduced importance of agriculture in the Sicilian economy had led to a massive migration to the cities, especially Palermo, which swelled in size.

Understandably these aspects are more significant when they are exact, but they are considered to function within an orb of influence, the size of which varies according to the importance of each aspect.

A Corinthian capital may be seen as an enriched development of the Ionic capital, though one may have to look closely at a Corinthian capital ( illustration, right ) to see the Ionic volutes (" helices "), at the corners, perhaps reduced in size and importance, scrolling out above the two ranks of stylized acanthus leaves and stalks (" cauliculi " or caulicoles ), eight in all, and to notice that smaller volutes scroll inwards to meet each other on each side.

Later in the Republic a cognomen was added to distinguish families within a gens, as the importance of the gens grew and the size of voting tribes required this differentiation.

An archdiocese is presided over by an archbishop whose see may have or had importance due to size or historical significance.

The distinction between a town and a city similarly depends on the approach adopted: a city may strictly be an administrative entity which has been granted that designation by law, but in informal usage, the term is also used to denote an urban locality of a particular size or importance: whereas a medieval city may have possessed as few as 10, 000 inhabitants, today some consider an urban place of fewer than 100, 000 as a town, even though there are many officially designated cities that are very, very much smaller than that.

Syria contains a large number of villages that vary in size and importance, including the ancient, historical and religious villages, such as Ma ' loula, Sednaya, and Brad ( Mar Maroun ’ s time ).

Under their popular leader, Stabschef Ernst Röhm, the SA grew in importance within the Nazi power structure, initially growing in size to thousands of members.

The Early Christian purpose-built basilica was the cathedral basilica of the bishop, on the model of the semi-public secular basilicas, and its growth in size and importance signalled the gradual transfer of civic power into episcopal hands, which was under way in the 5th century.

These are all valid ways to measure the size, scope, capacity, and importance of a network, but they have no direct relationship to tier 1 status.

Despite this, with the increase in the size and importance of the reredos, most altars were built against the wall or barely separated from it.

It is a well-established principle that the grant of the title is only recommended in the case of towns of the first rank in population, size and importance, and having a distinctive character and identity of their own.

The importance of Lingala as a vernacular has since grown with the size and importance of its main center of use, Kinshasa ; with its use as the lingua franca of the armed forces, and with the popularity of soukous music.

Other conceivable goals, such as character-education and social adjustment, are of secondary importance to them.

Is public education in this American democracy of such importance that no child should be denied public education??

Lincoln learned from his chief of staff General Henry Halleck, a student of the European strategist Jomini, of the critical need to control strategic points, such as the Mississippi River ; he also knew well the importance of Vicksburg and understood the necessity of defeating the enemy's army, rather than simply capturing territory.

Labels such as ‘ semi-Arian ’ or ‘ neo-Arian ’ are misleading, for those labelled so would have disavowed the importance of their relation to Arius.

Historian Elizabeth Eisenstein claimed that the fall of Constantinople in 1453 had threatened the importance and survival of Greek scholarship, but publications such as those by the Aldine Press secured it.

In the 19th and 20th centuries, prominent figures of Indian spirituality such as Swami Vivekananda, Ramana Maharshi, Swami Sivananda and A. C. Bhaktivedanta Swami emphasized the importance of ahimsa.

He takes names in connection with his funerary role, such as He who is upon his mountain, which underscores his importance as a protector of the deceased and their tombs, and the title He who is in the place of embalming, associating him with the process of mummification.

The possessions buried with the king are elaborately described to emphasise the importance of such items.

A decisive battle is one of particular importance ; often by bringing hostilities to an end, such as the Battle of Hastings or the Battle of Hattin, or as a turning point in the fortunes of the belligerents, such as the Battle of Stalingrad.

As a result of their introduction, bouts became longer and more strategic with greater importance attached to defensive maneuvers such as slipping, bobbing, countering and angling.

Other commentators, such as John Calvin, attach no great importance to the precise dating.

Collectivism is a basic cultural element that exists as the reverse of individualism in human nature ( in the same way high context culture exists as the reverse of low context culture ), and stresses the priority of group goals over individual goals and the importance of cohesion within social groups ( such as an " in-group ", in what specific context it is defined ).

On November 29, 1921, the trustees declared it to be the express policy of the Institute to pursue scientific research of the greatest importance and at the same time " to continue to conduct thorough courses in engineering and pure science, basing the work of these courses on exceptionally strong instruction in the fundamental sciences of mathematics, physics, and chemistry ; broadening and enriching the curriculum by a liberal amount of instruction in such subjects as English, history, and economics ; and vitalizing all the work of the Institute by the infusion in generous measure of the spirit of research.

It is thought that such works had considerable importance on European thinkers of the period, particularly among the Deists and other philosophical groups of the Enlightenment who were interested by the integration of the system of morality of Confucius into Western civilization.

This point is especially important, as these wars demonstrated that such energies could be of decisive importance and for a time led to a democratization of the armed forces much as universal suffrage democratized politics.

Of particular importance in heterogeneous catalysis are the platinum group metals and other transition metals, which are used in hydrogenations, catalytic reforming and in the synthesis of commodity chemicals such as nitric acid and ammonia.

Its supposed fundamental importance to life can be seen in words such as aspire, inspire, perspire and spirit, all derived from the Latin spirare.

After defeats such as the Battle of Carrhae, the Romans learned the importance of large cavalry formations from the Parthians.

From his religious training, Mather viewed the importance of texts for elaborating meaning and for bridging different moments of history — linking, for instance, the Biblical stories of Noah and Abraham with the arrival of such eminent leaders as John Eliot ; John Winthrop ; and his own father, Increase Mather.

All other forms of intrastate conflict, such as rebellion, are not accounted for because, in theoretical terms, Clausewitz could not account for warfare before the state ( However, near the end of his life, Clausewitz grew increasingly aware of the importance of non-state military actors.

The importance of a corporate body, regardless of its exact function, when such a body is a creature of statute is that its active functions can only be within the scope detailed by the statute which created that corporation.

Besides the advantages offered by such a plan, in setting immediately before the eyes of the student the final results of the investigation in a more concrete form, and thereby rendering easier his insight into the nature of particular Indo-European languages, there is, I think, another of no less importance gained by it, namely that it shows the baselessness of the assumption that the non-Indian Indo-European languages were derived from Old-Indian ( Sanskrit ).

These games, though, were different from the games at Olympia in that they were not of such vast importance to the city of Delphi as the games at Olympia were to the area surrounding Olympia.