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Page "Class (set theory)" ¶ 7
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With and rigorous
With rigorous external reviews ensuring that only the most innovative research secures funding, the IRP is responsible for many scientific accomplishments, including the discovery of fluoride to prevent tooth decay, the use of lithium to manage bipolar disorder, and the creation of vaccines against hepatitis, Haemophilus influenzae ( HIB ), and human papillomavirus.
With time, a wave of younger Soviet composers, such as Georgy Sviridov, Alfred Schnittke, and Sofia Gubaidulina took the forefront due to the rigorous Soviet education system.
With the OAM's increasing budget in the 1990s, the Office drew increasing criticism for its perceived lack of rigorous scientific study of alternative approaches in favor of uncritical boosterism.
With the increasing profile and budget of the Center, Stephen Straus, a former laboratory chief at the National Institute of Allergy and Infectious Disease, was brought in to head NCCAM with a mandate to promote a more rigorous and scientific approach to the study of alternative medicine.
With care, these formal calculations can be made rigorous.
With California broken into a multicultural state as a result of immigration and civil rights movements, political leaders were unwilling to engage in rigorous debate about the problems.
With Bush's backing, the proposed Federal Marriage Amendment was subjected to rigorous debate in Congress.
With the news of her death, Italian President Carlo Azeglio Ciampi called her a " model of vivaciousness and rigorous professionalism " and said she ranked among " the most beloved and popular artists in the history of Italian entertainment ".
With a large, two level common room, two doubles, and a single, N21 became known as the Hotel Lobby for its ( largely imagined ) debauchery at night and rigorous debate during the day.
With approximately 1300 undergraduate students, Westmont attempts to provide a rigorous academic program along with a personalized, residential Christian undergraduate experience.
With the advent of a more rigorous cladistic methodology, the subclass was proven paraphyletic.

With and foundation
With the unification of the three kingdoms in the 7th century and the foundation of the Goryeo dynasty in the Middle Ages, Koreans systemised its own native class system.
" With an estimated net worth of $ 36 billion, the foundation is unofficially the world's largest charitable organisation, beating out the much better known Bill and Melinda Gates Foundation, which has a net worth of approximately $ 33 billion.
With the foundation of the modern, secular Republic of Turkey, Mustafa Kemal Atatürk removed religion from the sphere of public policy and restricted it exclusively to that of personal morals, behavior and faith.
With many propagators including Democritus, Epicurus, Aristotle and their followers, this theory seems to have some contact with modern theories of what vision really is, but it remained only speculation lacking any experimental foundation.
With this statement he argues that rhetoric is a fundamental part of civic life in every society and that it has been necessary in the foundation of all aspects of society.
With this view, the physical universe can thus be seen as the ultimate foundation of mathematics: it guided the evolution of the brain and later determined which questions this brain would find worthy of investigation.
With his political and diplomatic skills backed by Japanese military's strong presence, Itō laid the foundation for Japan's colonization of Korea and expansion into Manchuria, China and Russia during the World War II.
With the specific request of a federal structure of a future German state the Western Powers followed German constitutional tradition since the foundation of the Reich in 1871.
With these additions and a talented core of players such as Derek King, Ray Ferraro and Patrick Flatley, along with incoming Soviet-bloc players Vladimir Malakhov and Darius Kasparaitis, the Islanders had a new foundation in the early ' 90s.
With the Bhagavad Gita and the Brahmasutra ( known collectively as the Prasthanatrayi ), the mukhya Upanishads provide a foundation for several later schools of Indian philosophy ( vedanta ), among them, two influential monistic schools of Hinduism.
With the foundation of Metaponto from Achaean colonists, it started the conquest of the whole Ionian coast.
With this foundation, it is not surprising that even with the destruction of the college the colony survived.
With this motivation, the new foundation stone of Magdalen Hall was laid at the new site on 3 May 1820, and the Hall's migration was complete by 1822.
With this formulation he described the concept of adiabatic accessibility for the first time and provided the foundation for a new subfield of classical thermodynamics, often called geometrical thermodynamics.
With a procession and ceremony, the foundation stone of the new church for the parish of North Leith was laid on 11 April 1814.
With the foundation of the ancient universities from the late 12th century, grammar schools became the entry point to a liberal arts education, with Latin seen as the foundation of the trivium.
With the improvements to Tulane University in the late 19th century, Tulane had a firm foundation to build upon as the premier university of the South and continued this legacy with growth in the 20th century.
With a booming voice and looming physical presence, Burnett is commonly ranked among the leading performers in electric blues ; musician and critic Cub Koda declared, " no one could match Howlin ' Wolf for the singular ability to rock the house down to the foundation while simultaneously scaring its patrons out of its wits.
With the monks expelled, Charterhouse became a private house, before the foundation by Thomas Sutton in 1611 of a charitable foundation forming the school named Charterhouse and almshouses known as Sutton's Hospital in Charterhouse on the site.
With this solid normative foundation, Nino went to tackle some practical issues, such as abortion, capital punishment, and drug regulation.
With them, in addition to Okafor and Wallace, the team hoped to build a young, solid foundation for future success.
With the foundation of a philosophical and a medical faculty in 1965 and 1966, respectively, the university became a bit more " universal ".

With and these
With all respect to a fine young man, Mr. Roy is not able to provide these necessaries ''.
With these we shape our destiny and own private property, and that, sir, makes ours the best of all possible societies.
With their facile generalizations about the United States, these mediocrities, as they often were, had been great successes.
With these and similar tales he was entertaining his English friends, all of whom he was seeing when he was not showing Blackman the sights of London and its environs.
With our current $3 per hundred tax rate, it is safe to assume that this will qualify when you suggest a community should `` try to develop a modest industrial plant '' as the best way to meet these problems.
With these maps completed, the inventory phase of the plan has been started.
With the existence of these many factors, some of them variable, it obviously has never been and is not now possible for the Commission to make assignments of AM stations on a case-to-case basis which will insure against any interference in any circumstances.
With respect to other frequencies, these are designated as regional or local, and assigned for use by class 3, and class 4, stations, respectively, stations operating generally with lower power.
With powerplants such as these, vertical takeoff and landing combat aircraft could be built.
With these keen `` eyes '' and small nuclear weapons delivered with accuracy, military forces can be directly attacked with minimum damage to urban areas.
With or without professional help, you will have to be able to do some of these jobs yourself unless you have a full-time pool nurse.
With completion of filling, net-like anastomoses were noted to be present between these separately derived branches.
With due consideration for the limits of precision in assessing, expected rate of change in ossification of girls age 2 years, and the known variations in rate of ossification of these children as described in our preceding paper in the Supplement, each arrow with a `` shaft length '' of four months or less was selected as indicating `` same schedule '' at Onset and Completion, for this particular epiphysis.
With respect to items such as these the provisions of section 381(c), viewed in historical perspective, suggest a rule requiring survival, whether the items are beneficial or detrimental to the surviving corporation.
With these factors included, an upper limit is placed on the allowable loop gain by stability considerations.
With these aids, and a pair of skiis substituting for wheels on the Waco, Bob Fogg made the first landing on what is now part of the Barre-Montpelier Airport on November 21, 1927.
With these gadgets -- impressive to the gullible because of their flashing light bulbs, ticks, and buzzes -- he then carries out a vicious medical con game, capitalizing on people's respect for the electrical and atomic wonders of our scientific age.
With these completed and ice gone from the St. Peter's River ( present-day Minnesota river ) their 250 bushels of wheat, 100 bushels of oats and barley and 30 bushels of peas and some chickens were loaded onto the flat-bottomed boats and rowed up the river to Big Stone Lake, across into Lake Traverse, and down the Red.
With all these agencies, the congressman must constantly check the political wind and trim his sails accordingly.
With their extinct relatives, these animals form the superorder Afrotheria.
With these computer-driven telescopes, the user typically enters the name of the item of interest and the mechanics of the telescope point the telescope towards that item automatically.
With the emergence of community-acquired methicillin-resistant staphylococcus aureus MRSA, these traditional antibiotics may be ineffective ; alternative antibiotics effective against community-acquired MRSA often include clindamycin, trimethoprim-sulfamethoxazole, and doxycycline.
: With these that never fade the spirits elect
With these lessons in mind, Alfred capitalised on the relatively peaceful years immediately following his victory at Ethandrun by focusing on an ambitious restructuring of his kingdom's military defences.
With money flowing into Olynthus from these exports, their power grew.

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