Further, suppose that no one can look inside another's box, and each claims to know what a " beetle " is only by examining their own box.

Further, suppose there exists u in L such that f ( u ) ≤ u and that any chain in the subset

Further suppose that the discount factor from now ( time zero ) until time is.

Further, suppose that G is irreducible: there is no subspace V other than 0 and the whole space which is invariant under the action of G. In other words,

Further suppose that the host also allows the contestant to take $ 500 instead of choosing a door.

Further suppose that

Further suppose that the fair market value of a ticket to the dance is 75 USD, and that the donor pays 375 USD to purchase a ticket.

Further, suppose that you are asked to perform the computation ' 68 + 57 '.

Further suppose that V is acted on by the Virasoro algebra in such a way that the adjoint of the operator L < sub > i </ sub > is L < sub >- i </ sub >, that the central element of the Virasoro algebra acts as multiplication by 24, that any vector of V is the sum of eigenvectors of L < sub > 0 </ sub > with non-negative integral eigenvalues, and that all eigenspaces of L < sub > 0 </ sub > are finite-dimensional.

Further suppose g is a function for which the two expectations E ( g ( X ) ( X − μ ) ) and E ( g ′( X ) ) both exist ( the existence of the expectation of any random variable is equivalent to the finiteness of the expectation of its absolute value ).

Further suppose that 100 individuals are randomly sampled from a very large population as part of a study of sex differences in handedness.

Further, SGI's premature announcement of its migration from MIPS to Itanium and its abortive ventures into IA-32 architecture systems ( the Visual Workstation line, the ex-Intergraph Zx10 range and the SGI 1000-series Linux servers ) damaged SGI's credibility in the market.

He argued that the focus on compensation results only in “ frustrating the legitimate members of the public who want to make use of it ( a completed invention ) in a free market .” Further, the compelling need to encourage creation is proportionally diminished once a work is already created.

Further development took place in the 1920s and 1930s when new houses were built on the market gardens of North Sheen and in the first decade of the 21st century when flats and houses were constructed at Kew Riverside on land formerly owned by Thames Water.

Further, they had to pay a metic poll tax, the metoikon, of twelve drachmas a year for men and six for women, as well a special tax ( xenikon telos ) if they wanted to set up a stall in the market place ( agora ).

** Further, as of September 19, 2008, the US Treasury is offering an optional insurance program for money market funds, which guarantees the value of the assets.

Further to this evidence that the UK stock market is weak-form efficient, other studies of capital markets have pointed toward their being semi-strong-form efficient.

Further empirical work has highlighted the impact transaction costs have on the concept of market efficiency, with much evidence suggesting that any anomalies pertaining to market inefficiencies are the result of a cost benefit analysis made by those willing to incur the cost of acquiring the valuable information in order to trade on it.

Further patents were granted for the synthesis of methylene blue and eosin, and in 1880 research began to try to find a synthetic process for indigo dye, though this was not successfully brought to the market until 1897.

Further, amidst a booming seller's market, management had decided to direct the company more to volume middle-class models, thus concentrating on selling lower-priced cars instead of more expensive — and more profitable — models.

Further, " ach member shall have a broad, royalty-free license to all intellectual property rights in the UnitedLinux Software, entitling each member to " use, copy, modify, distribute, market, advertise, sell, offer for sale, sublicense ... in any manner the Software, including the rights to make derivative works of the Software, to provide access to the Source Code and / or Object Code to any third party, to incorporate the Software into other products or bundle the Software with other products for its own business purposes and any other unlimited right of exploitation "; existing open source licenses, such as the GNU General Public License, also continued to apply.

Further trouble came in July 1877 in the form of a crash in the market for lumber, resulting in the bankruptcy of several leading Michigan lumbering concerns.

Further outlets can be found at Westgate Shopping park and there is also a pavement market selling fresh fruit and vegetables, and household goods.

Further, the electricity suppliers could perform real-time market analysis to determine return-on-investment for optimizing profitability or reducing end-user cost of goods.

Further dividing the market was that once the user had created data using many of the built-in software packages, the result could only be saved to a connected disk drive — much of the software did not support tape.

Further private channels from RTL and SBS reduced market shares for the public networks further 40 % in 1996.

Further developments with respect to the Czech language remain to be seen, because close cultural and educational contacts did not disappear after 1992 and, for economic reasons, there are even more books written in the Czech language in the Slovak market than before 1990.

Further, his claims for rent were in excess of market levels for a lodging agreement, and a market level agreement would not have included contributions from the lodger towards building repairs and maintenance, which Laws also claimed.

He was educated at Stonefield Secondary Modern School ( which became Hall Green School, subsequently Bilston High School, and now South Wolverhampton and Bilston Academy ) on Prosser Street in Bilston and Bilston College of Further Education ( now part of City of Wolverhampton College ), worked as a market trader and steelworker, and later ran a social club.

Further enlargement took place in 1938 as a new cattle market and corn exchange were built.

Further north and perpendicular to Wangfujing is Donghuamen Street, which has a night food market of its own.

Further dry wells were drilled and this lack of success, combined with worsening logistical problems and a glut of oil on the world market, led most of the partners to withdraw from the venture in 1960.

Further, for economic reasons, many TV programmes on Slovak TV channels are still dubbed into Czech, some films in cinemas are subtitled in Czech and there are far more Czech-language books and periodicals on the market than before the dissolution.

Further, change is a form of motion, it occurs as the act of a being in potency insofar as it is in potency and has not yet reached the terminus of the change.

Further, it has its work cut out stopping anarchy where it is now garrisoned.

Further evolution of this phylum has been estimated to have occurred ~.

Further to the south, the Sudan-Guinea zone receives more than 900 millimeters ( 35. 4 in ) of rain each year and has cooler average temperatures.

Further, the necessity to serve up a dubiously justified happy ending, although expected by audiences, actually has another effect of heightening the sense of falseness and contrived stories, underpinning the public's loss of belief in virtually anything any mass media says.

Further, the Supreme Court has declared itself as having the power to rule a treaty as void by declaring it " unconstitutional ", although as of 2011, it has never exercised this power.

Granville has a major college of Technical and Further Education, which is part of the South Western Sydney Institute of TAFE.

Further analysis has provided an approximate date for his prophecy and possibilities concerning his activities and background.

Further development of the LDAPv3 specifications themselves and of numerous extensions adding features to LDAPv3 has come through the IETF.

Further, the generative theory has several hypothetical constructs ( such as movement, empty categories, complex underlying structures, and strict binary branching ) that cannot possibly be acquired from any amount of linguistic input.

Further neutron capture creates < sup > 237 </ sup > U which has a half-life of 7 days and thus quickly decays to < sup > 237 </ sup > Np through beta decay.

Further, solar radiation records reveal that none of the nuclear explosions to date has resulted in any detectable change in the direct sunlight recorded on the ground.

Further doubt has been cast on this theory based on fossils in Greenland showing the extinction to have been gradual, lasting about eighty thousand years, with three distinct phases.

Further, as executive power is constitutionally vested in the monarch, meaning the Royal Prerogative belongs to the Crown and not to any of its ministers, the sovereign's supremacy over the prime minister in the constitutional order is thus seen as a " rebuff to the pretensions of the elected: As it has been said, when the Prime Minister bows before the Queen, he bows before us Canadian people.

Further wrangles effectively brought work on the north side of Leipziger Platz to a complete stop for several years ; even now there are some " fake facades " where completed new buildings should be, while a long-running dispute over who owned the Wertheim department store site ( or had claims to the revenue from its sale by the government ), has to this day left another large gap in the central Berlin cityscape that is only now finally being redeveloped.

Further, while nucleotides were not found in Miller-Urey's origins of life experiments, their formation in prebiotically plausible conditions has now been reported, as noted above ; the purine base known as adenine is merely a pentamer of hydrogen cyanide.

Further, Tertullian has been thought to be a lawyer based on his use of legal analogies and an identification of him with the jurist Tertullianus, who is quoted in the Pandects.

UMIST has won four Queen's Prizes for Higher and Further Education, two Prince of Wales ' Awards for Innovation and two Queen's Award for Export Achievement.

Further, the loss of the World Trade Center has spurred development on a scale that hadn't been seen in decades.

Further south, in the region of Beaujolais, Chardonnay has started to replace Aligote as the main white wine grape and is even replacing Gamay in some areas around Saint-Véran.

Further afield, based on a similarity between the names Tantalus and Hantili, it has been suggested that the name Tantalus may have derived from that of these two Hittite kings.

* Robert Plant the front man of the rock band Led Zeppelin has close associations with Kidderminster, particularly Kidderminster College of Further Education.

Further research has called this conclusion into question.

Further, it has recently been found in functional magnetic resonance imaging ( fMRI ) experiments involving highly ambiguous sentences result in a more activated inferior frontal gyrus.