Further representations require arduous processes that are probably only achieved through education.

Further representations for can be found from the above equations using the replacement.

Further examples of real representations are the spinor representations of the spin groups in 8k − 1, 8k, and 1 + 8k dimensions for k = 1, 2, 3 ....

Further one can form an inverse system, for the kernel of ρ smaller and smaller, of finite-dimensional unitary representations, which identifies G as an inverse limit of compact Lie groups.

Further, his conception of the laws determining the interaction and flow of mental presentations and representations, when taken in its bare psychological import, was essentially similar to theirs.

Further chemicals released are benzene and 1, 3-butadiene that are also hazardous air pollutants.

Further innovations included the development of active shielding, whereby fringe fields hazardous to pacemaker wearers, causing difficulty and expense in siting, were virtually eliminated.

Further contamination filtered into the food chain via contaminated fields where milk cows grazed ; hazardous fallout was ingested by communities who consumed the radioactive food and drank the milk.

Further data, from the APPROVe trial, showed a statistically significant relative risk of cardiovascular events of 1. 97 versus placebo — which caused a worldwide withdrawal of rofecoxib in October 2004.

Further, courts must follow their own proclamations of law made earlier on other cases, and honor rulings made by other courts in disputes among the parties before them pertaining to the same pattern of facts or events, unless they have a strong reason to change these rulings ( see Law of the case re: a court's previous holding being binding precedent for that court ).

* Zinnie Harris's play Further Than the Furthest Thing ( 2000 ) is inspired by events on the island, notably the 1961 volcanic eruption and evacuation of the islanders.

Further stock footage was taken from news events ( fires and explosions ) and the 1979 theatrical film Meteor ( such as a bridge collapsing and the destruction of a tall office building originally used to depict the destruction of the World Trade Center in that film ).

Further events during George's reign accelerated the break-up of the British Empire and its transition into the Commonwealth of Nations.

Further, as the writing of the Taltos novels has spanned over two decades, they have been influenced by events in Steven Brust's own life.

Further still, The Silver Chair states that a Narnian author wrote a book called The Horse and His Boy after the events related in the novel.

Further, ITS can play a role in the rapid mass evacuation of people in urban centers after large casualty events such as a result of a natural disaster or threat.

Further investigation of the material by the Australian Heritage Commission led to the Crater Lakes myth being listed nationally on the Register of the National Estate, and included within Australia's World Heritage nomination of the wet tropical forests, as an " unparalleled human record of events dating back to the Pleistocene era.

Further, the narrator is indifferent, a characteristic enhanced by this absence of explanation of fantastic events ; the story proceeds with " logical precision " as if nothing extraordinary took place .< ref > Flores, Angel.

Further, recent archaeological evidence provides verification of astronomical events, and comparison with Chinese and Japanese records have shown the Samguk Sagi to be surprisingly accurate.

Further, by means of such motion these actual occurrences, which are in themselves timeless, fall for an observer in a definite time — a time which becomes continuous through the partial coincidence of events.

Further, Starko suggests that the wave of aspirin poisonings was due to a " perfect storm " of events: Bayer's patent on aspirin ran out, so that many companies rushed in to make a profit and greatly increased the supply ; this coincided with the flu pandemic ; and the symptoms of aspirin poisoning ( such as Reye's syndrome ) were not known at the time.

Further, the Terry Fox Run is one of Upper Canada College's most successful events ; the school is an official site for the run, acting as the start and end point, as well as part of the course, which ventures throughout Toronto's Belt-Line.

Further road based events were banned.

Further recent events:

Further, we learn that this is all information from the past, that in fact he has been re-infected with Resuna, and so has Teri, and that they will both lose all memory of each other and of the many events, including much of her last memories of her father.

Thornton asserts that this was contradicted by several other sources, including Campbell's own version of events in his account to the then Minister for Further and Higher Education.

Further, models may have to cope with the natural intrinsic variability of the system, such as the occurrence of stochastic events.

Further afield, the VST will explore nearby galaxies, extragalactic and intra-cluster planetary nebulae, and will perform surveys of faint object and micro-lensing events.

It follows the events of Further Adventures of Doctor Syn and is followed by Amazing Quest of Doctor Syn.

* Further references in Doctor Who include the events of " The Girl in the Fireplace " partly take place during sometime in the 51st Century, on a spaceship inhabitated by malfunctioning clockwork robots, who open time windows to the past.

The Hog Farm Collective was established through a chain of events beginning with Ken Babbs hijacking the Merry Pranksters ' bus, Further, to Mexico, which stranded the Merry Pranksters in Los Angeles.

Further, task scheduling events such as blocking or to be interruptions should be considered in WCET analysis if they can occur in a particular system.

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.