Extending the process further, the third-order energy correction can be shown to be

These ideas were further elaborated and refined in Two-Factor Theory: The Economics of Reality ( Random House, 1967 ) and Democracy and Economic Power: Extending the ESOP Revolution Through Binary Economics ( 1986, Ballinger Publishing Company, Cambridge, Massachusetts ; reprinted 1991, University Press of America, Lanham, Maryland ), both co-authored by Patricia Hetter Kelso, his collaborator since 1963.

Extending the dispute still further, he claimed one of Lyttelton's coal mines.

Extending further south, Lewisham East then takes in some areas of high social deprivation fairly close to Lewisham town centre, and part of Rushey Green, a traditional working class area famous for opening one of the first indoor shopping malls in England.

Extending from 18-10, 500 BC, the Kebaran culture shows clear connections to the earlier Microlithic cultures using the bow and arrow, and using grinding stones to harvest wild grains, that developed from the c. 24, 000-17, 000 BC Halfan culture of Egypt, that came from the still earlier Aterian tradition of the Sahara.

Extending the work of Vesalius into experiments on still living bodies ( of both humans and animals ), William Harvey and other natural philosophers investigated the roles of blood, veins and arteries.

Extending from the Gulf northward for about 150 miles ( 240 km ) is the outer belt of the Coastal Plain, also called the Timber Belt, whose soil is sandy and poor, but responds well to fertilization.

Extending this concept to all sentient beings, one can measure a range of consciousness based on how many and how powerfully neurons are actually firing, varying from worms to humans.

Extending outward from the bulge are relatively bright arms.

Extending approximately 15, 500 kilometres ( 9, 600 mi ) from the Bering Sea in the Arctic to the northern extent of the circumpolar Southern Ocean at 60 ° S ( older definitions extend it to Antarctica's Ross Sea ), the Pacific reaches its greatest east-west width at about 5 ° N latitude, where it stretches approximately 19, 800 kilometres ( 12, 300 mi ) from Indonesia to the coast of Colombia – halfway across the world, and more than five times the diameter of the Moon.

Extending the definition of separability from the pure case, we say that a mixed state is separable if it can be written as

Extending in a north-south orientation, the climate and ecology varies strongly across the Americas, from arctic tundra of Canada, Greenland, and Alaska, to the tropical rain forests in Central America and South America.

Extending from the south-east angle of the main group of buildings are the walls and foundations of a secondary group of buildings ( 17, 18 ).

* " Extending the Legacy " Alexandra Lange article on the preservation of the Glass House, from the November 2006 issue of Metropolis magazine.

Extending 4, 000 miles ( 6, 500 km ), the Silk Road gets its name from the lucrative Chinese silk trade along it, which began during the Han Dynasty ( 206 BC – 220 AD ).

Extending from northeastern Boca Ciega Bay, Long Bayou separates Seminole from St. Petersburg near Bay Pines.

Extending from this sound-chest are two raised arms, which are sometimes hollow, and are curved both outward and forward.

Extending all the way from the rural border with North Carolina to the harbor area of Hampton Roads adjacent to the cities of Norfolk and Portsmouth, Chesapeake is located on the Atlantic Intracoastal Waterway and has miles of waterfront industrial, commercial and residential property.

Extending from the county's northern border to the Kansas River, it is not more than eleven miles ( 18 km ) in extent from north to south and less than five miles ( 8 km ) from east to west.

Extending in an eastwards direction, the Royal Mile sits upon the spine of this crag and tail trailing gently down from the Castle to the Palace of Holyroodhouse.

Extending up from the top of the stupa was a shaft supporting several ceremonial umbrellas.

Extending the tram line from Shau Kei Wan to Chai Wan was considered, but was ultimately rejected due to the cost-effectiveness of tunnelling through the mountains to make level track.

Extending his inventiveness to his family's medical problems, Benjamin Franklin invented the flexible catheter in 1752 when his brother John suffered from bladder stones.

Extending as a peninsula in the Southwestern tip of Cebu, Moalboal is bordered to the west by the Tañon Strait.

Extending east and west from the central edifice are two broad fan-shaped lobes ( or shoulders ), which give the volcano its elongation in the east-west direction.

Extending entirely across the state of Alabama for about south of its northern boundary, and in the middle stretching farther south, is the Cumberland Plateau, or Tennessee Valley region, broken into broad tablelands by the dissection of rivers.

Extending one night into three, Zeus slept with Alcmene ( his great-granddaughter ) ( thereby conceiving Heracles ) and recounted Amphitryon's victories against the Teleboans.

Extending their authority into Hispania at the expense of the Suevi and Vandals, their rule in Gaul was ended by the Franks under Clovis I at the Battle of Vouillé in 507.

Extending responsibility for public order to include the police, military, and citizenry proved to be a highly effective arrangement, and the concept was written into the Common Program that preceded the 1954 state constitution.

Extending the general rubric of Renaissance culture, the visual arts of the High Renaissance were marked by a renewed emphasis upon the classical tradition, the expansion of networks of patronage, and a gradual attenuation of figural forms into the style later termed Mannerism.

Extending across the American Midwest into Canada, Plains-area music is nasal, with high pitches and frequent falsettos, with a terraced descent ( a step-by-step descent down an octave ) in an unblended monophony.

Extending across the American Midwest into Canada, Plains-area music is nasal, with high pitches and frequent falsettos, with a terraced descent ( a step-by-step descent down an octave ) in an unblended monophony.

* Extending from the Georgia State line near Beachton to Pensacola, via Tallahassee, Woodville, Newport, and as near St. Marks as practicable, and thence around the coast to Panacea Springs, St. Teresa, Lanark, also via Wakulla, Crawfordville, Sopchoppy, Carrabelle, Apalachicola, Port St. Joe, Panama City, near mouth of Choctawhatchie River, Freeport, Portland, New Valparaiso, Camp Walton, and thence into State Road No. 1 at or near Milton and thence over State Road No. 1 connecting with Pensacola.

* Extending from the Georgia State line near Beachton to Pensacola, via Tallahassee, Woodville, Newport, and as near St. Marks as practicable, and thence around the coast to Panacea Springs, St. Teresa, Lanark, also via Wakulla, Crawfordville, Sopchoppy, Carrabelle, Apalachicola, Port St. Joe, Panama City, Bruce, Freeport, Portland, New Valparaiso, Camp Walton, and thence into State Road No. 1 at or near Milton and thence over State Road No. 1 connecting with Pensacola.

Extending the extinction law into the mid-infrared wavelength range is difficult due to the lack of suitable targets and various contributions by absorption features.

Extending the system of primary education into tribal areas and reserving places for tribal children in middle and high schools and higher education institutions are central to government policy, but efforts to improve a tribe's educational status have had mixed results.

Extending into the interior from the coast, the parish of 16. 66 km² is nestled between the Calheta ( in the west ), Câmara de Lobos ( to the east ) and São Vicente has a population of 3214 ( its density is 192 inhabitants per kilometre square ).

Extending into the Thames Estuary, it is the longest pleasure pier in the world.

Extending into the Northumberland Strait, its geographic coordinates are 46 ' 23 " N, 62 ' 07 " W.

Extending on the example outlined, the same apple dropped within a zero gravity environment such as a spacecraft circling around earth, will float in its place.

Extending the arms and free leg checks the rotation and allows the skater to flow out of the jump on a strong edge.

He is perhaps best known for his compositions Verticals Ascending ( conceptually based on the architecture of the Watts Towers in Los Angeles ) and Horizontals Extending.

While at UCSD, Reynolds has taught courses on Music Notation, Extended Vocal Techniques, Late Beethoven Works, Text ( in relation to the Red Act Project and Greek Drama ), Collaboration ( co-taught with Steven Schick ), Extending Varese ( also co-taught with Steven Schick ), and the Perils of Large Scale Form ( co-taught with Chinary Ung ), musical analysis, as well as private and group composition lessons.

Since being reelected in 2008, Representative Larsen has voted yes on every labor bill, ranging from the “ S-Miner Act ” to the “ Extending Federal Emergency Unemployment Benefits and Providing Business and Homebuyer Tax Credits ” bill.

Extending his argument, Bakhtin proposes that all languages represent a distinct point of view on the world, characterized by its own meaning and values.

Extending this work, Coblentz and Carl Lampland, of the Lowell Observatory, measured large differences between the day and night temperatures on Mars, which implied a thin Martian atmosphere.

Extending the example above, say another person deposits a check drawn on Bank B in Bank A for $ 500.

Extending by continuity defines f ( T ) for a continuous function f on the spectrum of T. The Riesz-Markov theorem then allows us to pass from integration on continuous functions to spectral measures, and this is the Borel functional calculus.

Extending upwards as far as the eye can see, and visible on a clear day from up to 100 km away, the column will disappear and re-appear in slow structured sequences, punctuating the skyline.

Extending southward from the Ancs Maya ( meaning Blue River ) which is now known as the Patia River in southern Colombia to the Maule River in Chile, and eastward from the Pacific Ocean to the edge of the Amazonian jungles, the empire covered some of the most mountainous terrain on earth.

Extending that tradition in a reflective vein is the autobiographical work of freed American slave Frederick Douglass, who lamented the moral corruption that slavery wrought on America-from both a Jeffersonian and Christian tradition.

Extending the Federal line on Couch's right were the divisions of Brig.

Extending her range of interests and talents, she also worked with her husband on a theater company, the Ashby Players, which her husband founded in Detroit, and for which Dorothy often wrote the scores.

Extending Google's work researchers from the Intelligent Systems Laboratory ( University of Bristol, UK ) created Flu Detector ; an online tool which based on Information Retrieval and Statistical Analysis methods uses the content of Twitter to nowcast flu rates in the UK.

* M2: Extending anteriorly on the insula, this segment in known as the insular segment.

* Windows Vista and Windows Server 2008: Understanding, Enhancing and Extending Security End-to-end — Microsoft PowerPoint presentation that includes information on changes to Winlogon in Windows Vista and Windows Server 2008