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These and sums
These include hypothesis testing, the partitioning of sums of
These higher stakes contests also opened up the door to reality television contests such as Survivor and Big Brother, in which contestants win large sums of money for outlasting their peers in a given environment.
These sums, together with the considerable amounts accruing from indulgences, jubilees, and special fees, vanished as quickly as they were received.
These sums were amended by the Montreal Additional Protocol No. 2 to substitute an expression given in terms of SDR's.
These sums are valid in the absence of a differing agreement ( on a higher sum ) with the carrier.
These sums of money, vast by the standards of the day, failed to cover the debts, and the maintenance of the great palace remained beyond the Marlboroughs ' resources.
These figures are not necessarily the sums that were taken in during 1939 – and in particularly for films that made their premieres in October, November, and December.
Child sums up the whole matter by saying, " These pretended child-murders, with their horrible consequences, are only a part of a persecution which, with all its moderation, may be rubricated as the most disgraceful chapter in the history of the human race.
These projects in the city driven by the recent mayors have achieved this goal after investing large sums of money.
These sums of squares are constructed so that the statistic tends to be greater when the null hypothesis is not true.
These individuals and institutions were willing to pay large sums of money for good specimens, and the overseas demand created a strong financial incentive for hunters in New Zealand.
These are the sums implicated in the distribution of the values
These were huge sums at a time when an average worker entered the tax net with an annual salary of just £ 533.
These considerable sums of money also led to a much wealthier peasantry with more furniture, higher quality food, and better clothing than they had had before.
These schemes typically require the individuals to pay nominal to substantial sums for the " business plans " or other materials.
These disco mixes, released in the late 1980s, are long deleted and fetch high sums in private sales.
These hash sums are used on gnutella and G2 ( Gnutella2 ).
These hash sums are used on eDonkey2000.
These are hex encoded SHA1 hash sums of the " info " sections of BitTorrent metafiles as used by BitTorrent to identify downloadable files or sets of files.
These copies regularly achieve three figure sums at online auctions.
These bills made it possible to transfer large sums of money without the complications of hauling large chests of gold and hiring armed guards to protect the gold from thieves.
These are quadratic polynomial invariants ( sums of squares of components ).

These and represented
In the center of the helmet was a center black stripe surrounded by 2 gold stripes and 2 white stripes, These colors represented the two college rival schools in the state of Georgia ; rival schools Georgia Tech Yellow Jackets ( White and Gold ) and the Georgia Bulldogs ( Red and Black ) Although the gold was later taken out, the white remains to this day.
These events represented a major religious crisis: why had their god allowed this to happen?
These physical properties are then represented by tensors, which are mathematical objects that have the required property of being independent of coordinate system.
These include the largest, the Swiss People's Party ( SVP ), the Christian Democratic People's Party ( CVP ), represented in the Federal Council or cabinet by Doris Leuthard ( in 2011 ), and the Conservative Democratic Party of Switzerland ( BDP ), which is a spliter of the SVP created after a failed attempt to expel Eveline Widmer-Schlumpf from the SVP.
These officials managed represented the interests of the fisc, which collected taxes in gold, and the Imperial properties.
These are represented in theoretical and empirical forms ( as in the neoclassical and endogenous growth models ) and in growth accounting.
These gatherings, subject to presidency by higher ranking bishops, may govern the judicatory which are represented in the council, though the synod or council may also be purely advisory.
These would be invested with some secular symbol such as a sword or scepter and the spiritual authority represented by a ring, miter and crosier.
These integrals do, however, have a regular structure, and may be represented graphically as Feynman diagrams.
These developments represented a fundamental change in literary criticism, which came to focus more on character and less on plot.
These building techniques were enhanced and came into maturity at Great Zimbabwe, represented by the wall of the Great Enclosure.
These were sizeable formations in regional context but represented the bulk of prime Zulu fighting strength.
These vectors are generally represented by capital letters, for example for position.
These functions allow the Amiga to move GUI windows around the screen rapidly as each is represented in graphical memory space as a rectangular block of memory which may be shifted to any required screen memory location at will.
These concepts are represented as a collection of the simplest elements available ( called primitives ).
These were represented by ideograms, with numerals of 2 – 9 in the first three suits and numerals 1 – 9 in the " tens of myriads ".
These dissenters emphasized the Second Coming while rejecting liturgy and an ordained ministry — although they otherwise endorsed the traditional doctrines of Christianity as represented by the creeds of the Methodist and the Anglican Church.
These titles are represented physically by a belt that can be worn by the champion.
These are often represented as either decimal or hexadecimal numbers.
These bodies are represented by faculty, administrators, elected students and alumni.
These first wargames were played with dice which represented " friction ", or the intrusion of less than ideal circumstances during a real war ( including morale, weather, the fog of war, etc.
These are the earliest traces of the original Mycenaean Spartan civilisation, as represented in Homer's Iliad.
These changes can be represented in formulas by inserting appropriate electrons into each half-reaction:
These probability amplitudes can be represented as a complex number or equivalent vector — or, as Richard Feynman simply calls them in his book on QED, " arrows ".
These angles are measured with respect to the normal line, represented perpendicular to the boundary.

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