Under the theta condition ( also called the Flory condition ), the polymer behaves like an ideal random coil.

Under Hare's method, simply dividing the vote by the number of seats constituted the quota and then the surplus was expected to be distributed ' at random '.

Under rules established in 1986, 20 items of private members ' business are selected at random to receive priority in debate.

Under USCIS rules, the 123, 480 petitions received on April 2 and April 3 that were subject to the cap were pooled, and then 65, 000 of these were selected at random for further processing.

Under some circumstances, targets may be chosen in what may be a completely random or arbitrary process, especially in groups in which the " bully mentality " may have already succeeded in achieving domination within the group.

# Under the null hypothesis the distributions of both groups are equal, so that the probability of an observation from one population ( X ) exceeding an observation from the second population ( Y ) equals the probability of an observation from Y exceeding an observation from X, that is, there is a symmetry between populations with respect to probability of random drawing of a larger observation.

Under the random matrix model developed by Nick Katz and Peter Sarnak, there is a conjectural correspondence between ( unitarized ) characteristic polynomials of Frobenius elements and conjugacy classes in the compact Lie group USp ( 2n ) = Sp ( n ).

Under the plan, all citizens would be provided with new middle names, made of the name of a random natural object paired with a random number between 1 and 20.

Under the new system, federal inspectors do random product tests only three or four times a year at any given plant, and meat packers are required to test each type of product only once a month.

Under the Cronquist system, only the Apiaceae and Araliaceae were included here, and the restricted order was placed among the rosids rather than the asterids.

Under the Cronquist system of taxonomic classification of flowering plants Asteraceae was the only family in the group, but newer systems ( such as APG II and APG III ) have expanded it to eleven.

Under the old Soviet central planning system, Armenia had developed a modern industrial sector, supplying machine tools, textiles, and other manufactured goods to sister republics in exchange for raw materials and energy.

Under the Cronquist system, the Brassicales were called the Capparales, and included among the " Dilleniidae ".

Under his command, a modern update of the doctrinal system called Bewegungskrieg (" maneuver warfare ") and its associated leadership system called Auftragstaktik (" mission tactics "; i. e., units are assigned missions ; local commanders decide how to achieve those missions ) was developed, which was a critical advantage and a major reason for the success of blitzkrieg.

Under the new system, most territorial authorities cover both urban and rural land.

Under the Cronquist system, the first four families ( including Begoniaceae, Cucurbitaceae, and Datiscaceae ), were placed in the order Violales, within the Dilleniidae, with the Tetramelaceae subsumed within the Datiscaceae.

Under the compulsory private pension system, most formal sector employees pay 10 % of their salaries into privately managed funds.

Under the new communist system, privately owned factories and estates were nationalized, and the economy was based on a type of planned market socialism.

Under its 1990 constitution, Croatia operated a semi-presidential system until 2000 when it switched to a parliamentary system.

Under previous general manager Gebhard, the Rockies had largely neglected their farm system and mostly relied on signing veteran free agents from other clubs ; this was possible due to the high attendance numbers in the club's first few years of attendance.

Chiang Kai-shek considered both the Han Chinese and all the minority peoples of China, the Five Races Under One Union, as descendants of Huangdi, the Yellow Emperor and semi mythical founder of the Chinese nation, and belonging to the Chinese Nation Zhonghua Minzu and he introduced this into Kuomintang ideology, which was propagated into the educational system of the Republic of China.

Under the APG system of 1998, the order was placed in the clade monocots and comprised the families Burmanniaceae, Dioscoreaceae, Taccaceae, Thismiaceae and Trichopodaceae

Under the Dahlgren system, Dioscoreales was placed in the superorder Lilianae in subclass Liliidae ( monocotyledons ) of class Magnoliopsida ( angiosperms ) and comprised the families Dioscoreaceae, Petermanniaceae, Rhipogonaceae, Smilacaceae, Stemonaceae, Taccaceae, Trichopodaceae and Trilliaceae.

Under the Cronquist system, the order included Adoxaceae, Caprifoliaceae, Dipsacaceae, and Valerianaceae.

Under the more recent Angiosperm Phylogeny Group ( APG II ) system, the circumscription of the order is much the same but the families are circumscribed differently.

Under such a system, a servicemember found to be gay but who had not committed any sexual acts while in service would tend to receive an undesirable discharge.

Under such a system, most people would be able to earn a living without having to rely on the use of the property of others to do so.

Under the Cronquist system, the Ericales included a smaller group of plants, which were placed among the Dilleniidae:

Under that standard, the brightest member of a system receives the letter " A.

Under the two-tier system the SE is managed by a management board.

Under the single-tier system, the SE is managed by an administrative board.

Under the single-tier system the administrative board may delegate the power of management to one or more of its members.

Under the 1999 U. S. Government's Leadership and Investment in Fighting an Epidemic ( LIFE ) Initiative, CDC through the BOTUSA Project has undertaken many projects and has assisted many organizations in the fight against the HIV / AIDS epidemic in Botswana.

Under the Han Dynasty, China made great advances in many areas of the arts and sciences.

Under the influence of the Enlightenment, many mainstream denominations had relegated spiritual healing to the realm of a one-time dispensation rather than a modern practice.

Under the Education For All programs driven by UNESCO, most countries have committed to achieving universal enrollment in primary education by 2015, and in many countries, it is compulsory for children to receive primary education.

Under comprehensive economic reforms initiated in 1991, Egypt has relaxed many price controls, reduced subsidies, reduced inflation, cut taxes, and partially liberalized trade and investment.

Under these conditions, many bacterial cells burst, releasing a pulse of nutrients.

Under this policy, Albania would develop its agricultural output in order to supply the Soviet Union and other Warsaw Pact nations while these nations would be developing specific resource outputs of their own, which would in theory strengthen the Warsaw Pact by greatly reducing the lack of certain resources that many of the nations faced.

Under European Union legislation, a liqueur wine is a fortified wine that contains not less than 17. 5 % abv ( except for certain quality liqueur wines ) and that meets many additional criteria.

Under the skilled leadership of Pope Alexander III, the alliance suffered many defeats but ultimately was able to deny the emperor a complete victory in Italy.

Under Nehru, the Indian Parliament enacted many changes to Hindu law to criminalize caste discrimination and increase the legal rights and social freedoms of women.

Under the leadership of the Duguwa dynasty, the Zaghawa would eventually dominate the Sao, but not before adopting many of their customs.

Under his government, Australia recognised Indonesia's annexation of East Timor, although many East Timorese refugees were granted asylum in Australia.

* Minerva is featured on the seals of many schools and colleges: on that of Union College in Schenectady, NY, the motto is ( translated from the French ) " Under the laws of Minerva, we are all brothers.

Under a microscope it becomes clear that Nevis sand is a mixture of tiny fragments of coral, many foraminifera, and small crystals of the various mineral constituents of the volcanic rock of which the island is made.

Under many philosophical definitions of the term " deity ", senses 2, 3 and 4 can be shown to be equivalent.

Under this narrower definition, which differs from that historically used by many ( though by no means all ) Christians and other Westerners, contemporary Paganism is a smaller and more marginal numerical phenomenon.

Under a federalist constitution that was later brought up in 1858 ( and another one in 1863 ), Panama and other constituent states gained almost complete autonomy on many levels of their administration, which led to an often anarchic national state of affairs that lasted roughly until Colombia's return to centralism in 1886 with the establishment of a new Republic of Colombia.

Under this definition, plane tilings and space tilings ( honeycombs ) are considered to be polytopes, and are sometimes classed as apeirotopes because they have infinitely many cells ; tilings of hyperbolic spaces are also included under this definition.

The largest pub in the UK is The Moon Under Water, Manchester ; as are many Wetherspoons pubs it is in a converted cinema.

Under the Qing, traditional forms of art flourished and innovations were made at many levels and in many types.

Staying on the beat is central to rap's flow – many MCs note the importance of staying on-beat in How to Rap including Sean Price, Mighty Casey, Zion I, Vinnie Paz, Fredro Starr, Del The Funky Homosapien, Tech N9ne, People Under The Stairs, Twista, B-Real, Mr Lif, 2Mex, and Cage.

Under his reign Christianity gained a strong foothold in the country with many churches being built in Mbanza of which the Kulumbimbi Cathedral ( erected between 1491 and 1534 ) being the most impressive.

Under Louis XIII and especially Louis XIV, the privileges were quite extensively granted to certain French shipping lines, which still faced many difficulties.