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 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 suppose, that the market has a 50 % chance of increasing, a 30 % chance of staying even, and a 20 % chance of decreasing.

Further, there is no mileage charge or mileage limitations when you lease a car, and you pay only the flat monthly rate plus a nominal charge for documents and insurance since the car is registered and insured individually for your trip.

Further, the Mahabharata states, " How can you expect compassion from a meat-eater?

" Further support for Adler's idea came from American Wiccan priestess Judy Harrow, who noted that amongst her comrades, there was a feeling that " you don't become pagan, you discover that you always were.

" Further remarking: " Every time you produce radiation, you produce something that has a certain half-life, in some cases for billions of years.

Further note, that this implementation is a little flawed: The bitmap p only holds 32 bits and therefore limits the maximum number of heaps in the entire string to 32 ( not counting the right-most heap of size LP ), which will eventually overflow if you try to sort an array of more than LP + 1

Further evidence of John's political development is found in a letter of October 1842, to his friend John Martin, responding to Martin's sending him a copy of The Nation: " I think The Nation will do very well "; and again in October, on the arrival of 20, 000 additional troops in Ireland: " How do you think the country will take all this?

Further, she recalled a conversation with Kastner after the war, telling him, " I don't say that you could have saved my daughter Hannah, but that you didn't try-it makes it harder for me that nothing was done.

* In Season 3 Episode 3 (" Further Instructions ") of the television show Lost Charlie agrees to help guard Locke and " make sure you don't devolve into a monkey " while John has a hallucinatory experience.

Further, you can also solve quizzes, especially designed to improve your comprehension and understanding of the English language.

Further, we believe that you have withheld and / or distorted material facts as to your own conduct in this war.

* Till Further Notice ( until further notice ), meaning, " Until a future point in time that I may or may not inform you about.

" Many times used on a sign in the phrase, " Closed Till Further Notice " saying that a business is closed until they tell you otherwise.

Further, you should not indulge in cessation in circumstances that you keep gaining manifolds.

Exceptions are the University of Warwick, the University of Cambridge where you must have Further Mathematics to at least AS level to study for a degree in mathematics ; also University College London requires an A2 in Further Maths for its maths courses and is recommended for the Statistics courses ; Imperial College also requires an A * in A2 Further Maths while other top end universities recommend it or promise lower offers in return.

Further ahead, you can also discover some of the exciting flavors Coca-Cola Coolologists have brought back from around the world.

Further inside, you can enjoy the mixed smells of frankincense, perfume oils, fresh jasmine and spices.

Further, the management path does not open the door to higher opportunities than are offered by the more technical path.

Further research in the meaning of crises as experienced by the consumers of traditional social casework services -- including attempts to develop a typology of family structures, crisis problems, reaction mechanisms, and differential treatment approaches -- and the establishment of new experimental programs are imperative social needs which should command the best efforts of caseworkers in collaboration with community planners.

Further improvements in earnings of the Kansas Turnpike are expected late in 1961, with the opening of a new bypass at Wichita, and still later when the turnpike gets downtown connections in both Kansas City, Kans., and Kansas City, Mo..

Further, in current aquaculture practice, products from several pounds of wild fish are used to produce one pound of a piscivorous fish like salmon.

Further archaeological objects found during the excavations are conserved at the Cyprus Museum in Nicosia, as well as at the Limassol District Archaeological Museum.

Further, as the current monarch is a woman and both her eldest child and, in turn, his eldest child, are Anglican males, any change to the succession laws would have no immediate implications.

Further, it reduced the abundance of burrowing organisms — burrows and trackways are found in beds containing soft-bodied organisms, but they are rare and generally of limited vertical extent.

Further information can be gained by staining slices of brain tissue with a variety of chemicals that bring out areas where specific types of molecules are present in high concentrations.

Further themes are also present: the " sovereign freedom of Yahweh " ( God does not always do what is expected of him ); the " satirisation of foreign kings " ( who consistently underestimate Israel and Yahweh ); the concept of the " flawed agent " ( judges who are not adequate to the task before them ) and the disunity of the Israelite community ( which gathers pace as the stories succeed one another ).

Further deforestation and destruction of the biodiversity are anticipated in the wake of logging commissions, hydroelectric dams and other mining of minerals and resources.

Further, some older forms of Celtic music that are rare in Scotland and Ireland today, such as practice of accompanying a fiddle with a piano, or the Gaelic spinning songs of Cape Breton remain common in the Maritimes.

Further south, near Vukovar and near Šarengrad, there are two river islands ( Vukovarska ada and Šarengradska ada ) which have been part of SR Croatia ( during Yugoslavia ) but during the war they came under Serbian control.

Further improvements are achievable by catalytic after-burning devices ( such as catalytic converters ) or by the simple partial return of the exhaust gases into the combustion process.

Further benefits are the existing infrastructure and the geophysical and geological information about the oil field that is available from the oil exploration.

Further sectional references are the Northwest side and the Southwest side.

Further soundings made by the US Center for Coastal & Ocean Mapping in 2011 are in agreement with this figure, placing the deepest part of the Challenger Deep at, with a vertical precision of approximately.

Further to the east in the ambulatory are three chapels ( from south to north ):

Further, as they are vector fields, all magnetic and electric field vectors add together according to vector addition.

Further evidence of endosymbiosis are the prokaryotic ribosomes found within chloroplasts and mitochondria as well as the double-membrane enclosing them.

Further it is assumed that message length ( holding times ) are exponentially distributed ( Markovian system ) although the formula turns out to apply under general holding time distributions.

Further concerns about the impact of industrial farming ( grains ) on animal welfare, human health, and the environment are also having an effect on contemporary human dietary habits.

Further gate-to-source voltage increase will attract even more electrons towards the gate which are able to create a conductive channel from source to drain ; this process is called inversion.

Further pressure was brought on the makers of the film, the Film i Väst film studio, who are partly financed by Swedish local authorities, including Åmål.