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Page "Covariance and contravariance of vectors" ¶ 71
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Under and changes
Under extremes of pressure and temperature solids may exhibit large structural and physical changes which can lead to polyamorphic phase transitions.
Under constitutional changes in 2004, the MPR became a bicameral legislature, with the creation of the Dewan Perwakilan Daerah ( DPD ), in which each province is represented by four members, although its legislative powers are more limited than those of the DPR.
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 Loyrette, who replaced Pierre Rosenberg in 2001, the Louvre has undergone policy changes that allow it to lend and borrow more works than before.
Under this system, Norwegian is grouped together with the neighbouring languages Danish and Swedish, because the last millennium has seen all three undergo important changes, especially in grammar and lexis, which have set them apart from Faroese and Icelandic.
Under Dr. Ing e. h. Karl Stief, who had been chief engineer at Opel since 1934, useful changes were made to this tough little car.
Under the Japanese government, Palau underwent extreme social, economic, and political changes.
Under the rules, the clock only stops for scores ( in Colorado and Kansas, the clock does not stop on a score ), penalties, injuries, timeouts, and change of possession ( the clock restarts on the ready-for-play whistle instead of the snap for possession changes ; the clock does not stop for change of possession in Georgia ).
Under Henry's rule, Cranmer did not make many radical changes in the Church, due to power struggles between religious conservatives and reformers.
Under Hideyoshi's patronage, Rikyū made significant changes to the aesthetics of the tea ceremony that had lasting influence over many aspects of Japanese culture.
Under Cosin significant changes were made to the college's Chapel to bring it into line with Laud's idea of the " beauty of holiness ".
Under these changes, route numbers suffixed with an " a " run an altered service, while route numbers suffixed with a " d " terminate at depots.
Under the rule of the Kings of France, important constitutional changes were made to the Republic of Metz.
Under Zélia's tenure, Brazil had a period of major changes, featuring what ISTOÉ magazine called an " unprecedented " " revolution " in many levels of public administration: " privatization, opening its market to free trade, encouraging industrial modernization, temporary control of the hyper-inflation and public debt reduction.
Under the influence of progesterone, the endometrium ( uterine lining ) changes to prepare for potential implantation of an embryo to establish a pregnancy.
Under the Constitution, the commission is required to refer to the most recent Census of Ireland when considering boundary changes.
Under Tate Director and Turner Prize chairman Nicholas Serota, changes are made to involve the public in the viewing of the nominated artist such as a published shortlist, a nomination of four shortlisted artists and an individual exhibition of nominated work within the Tate.
Under changes introduced in 1931 by the Statute of Westminster, a single Crown for the entire empire had been replaced by multiple crowns, one for each Dominion, worn by a single monarch in an organisation then known as the British Commonwealth.
Under border changes promulgated at the Potsdam Conference in 1945, northern East Prussia, including Gumbinnen, became part of the Russian Federation, and the town ’ s name was changed to Gusev, in honor of a Red Army captain, Sergei Ivanovich Gusev, who was killed in action near Gumbinnen in January 1945.
Under a change of f by a matrix A, α changes by the rule
Under all but the most recent version of WPATH-SOC, even hormonal treatment to delay the onset of puberty was forbidden in all cases, leading to often irreversible bodily changes.
This changes when Kojirō befriends Kusanagi Tenki, the local bully who longs to be a great swordsman and achieve the title of " Invincible Under the Sun ".
Under regular phonetical changes that are typical to the Romanian languages, the name romanus over the centuries transformed into " rumân ".
Under editor-in-chief Grace Mirabella, the magazine underwent extensive editorial and stylistic changes to respond to changes in the lifestyles of its target audience.

Under and coordinate
Under normal conditions, medial and vestibular nuclei, cortical, thalamic, and cerebellar centers coordinate things such as head and eye movement, and orientation in space.
Under Van Dorn, the group suffered a defeat at the Battle of Pea Ridge ; Ross attributed their loss solely to Van Dorn, and blamed him for over-marching and underfeeding his troops, and for failing to properly coordinate the plan of attack.
Under linear coordinate transformations on the manifold, it behaves like a tensor, but under general coordinate transformations, it does not.
Under this metric, a circle of radius r, which is the set of points with Chebyshev distance r from a center point, is a square whose sides have the length 2r and are parallel to the coordinate axes.
Under the coordinate transformation,, all metric components should remain the same.
Under the Growth Management Act ( GMA ), local governments plan, coordinate and manage for growth in Washington, while protecting natural resources and public interests.
Under changes of coordinates, the volume element changes by the absolute value of the Jacobian determinant of the coordinate transformation ( by the change of variables formula ).
Under a general coordinate transformation we have:
Under United Nations Security Council Resolution 1564, AMIS was to " closely and continuously liaise and coordinate ... at all levels " its work with the United Nations Mission in Sudan ( UNMIS ).

Under and system
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.

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