Since Cauchy sequences can also be defined in general topological groups, an alternative to relying on a metric structure for defining completeness and constructing the completion of a space is to use a group structure.

Since the latter is valid over the entire cycle, this gave Clausius the hint that at each stage of the cycle, work and heat would not be equal, but rather their difference would be a state function that would vanish upon completion of the cycle.

Since its completion, the UPWT facility has been the most heavily used NASA wind tunnel.

Since the completion of the initial portion of the interstate highway system, regulations were changed, and portions of toll facilities have been added to the system.

Since the completion of the conversion carried out between 1993 and 1995, Carré des Arts hosts the Graduate School of Arts and visual ( ESAPV ) and regional television TV Borinage Mons ( Tele MB ).

Since the MAPS projects ' completion, the downtown area has seen continued development.

Since completion, the Columbus Lighthouse, which supposedly houses Columbus ' remains, has been a minor tourist attraction.

Since completion of the River Common, various improvements to city infrastructure have been progressing.

Since the completion of the Interstate system and the growth of Nashville, Williamson County has seen tremendous growth.

Since the early 1970s and the completion of Interstate 71, which connects Oldham County to Downtown Louisville and shopping in Eastern Jefferson County, Oldham County has increasingly become suburban in nature, a natural extension of Louisville's wealthy East End as it ran out of large tracts of undeveloped land.

Since its completion in 1995, the AA Highway has allowed Greenup residents to more easily travel to Maysville, Kentucky as well as Northern Kentucky and Cincinnati, Ohio.

Since the completion of the Cascade Dam in 1948, much of the northern valley has been covered by the Cascade Reservoir.

Since the completion of the reservoir system, the highest Chattanooga flood stage has been nearly 37 feet, which occurred in 1973.

Since the completion of the Greenbelt, many subdivisions have been built along or near the belt to allow for easy access to I-264 and I-265.

Since completion, several new medical practices have opened there.

Since the completion of the Main Street USA project in the 1980s, Conway's downtown has been revitalized with shops and bistros.

Since its completion, the span length has been surpassed by eight other bridges.

Since its completion, the building has won a number of prestigious awards for architecture.

Since the completion of the Trans-Alaska Pipeline System in 1977, the government of the state of Alaska has been reliant on taxes paid by oil producers and shippers.

Since the completion of the present Winchester High School in 1972, with population growth leveling off, town leaders have had more time and funds to devote to maintaining rather than molding Winchester's character.

Since the international terminal's original completion, it has undergone two large expansions.

Since the completion of the Torrão Damn in 1988, situated less than 1 km from the outlet into the Douro river and the town of Entre-os-Rios in the municipality of Marco de Canaveses, the Tâmega has been slowly recovering from the effects of pollution.

Since its completion in 2002, the square has hosted numerous public events, performances and art displays, establishing itself as a prominent landmark in Toronto and one of the city's prime tourist attractions.

Since then, a lull of inactivity that would last three years would come about, and since then Ancient have parted ways with Metal Blade Records due to the completion of their recording contract and the label's " supposed " loss of interest in the black metal genre.

Since this book is concerned only incidentally with railroad rates, it will not attempt to analyze the methods by which the staff of the Interstate Commerce Commission has estimated out-of-pocket costs and apportioned residue costs.

Since then, the U. S. has contributed to other large infrastructure programs including the Interstate Highway System, 1956-1990, with a dedicated financing system through the gas tax and a matching contribution between federal government and states at 90 % to 10 %.

Since the county is roughly equidistant between Charleston and Huntington, the state's two largest cities, along Interstate 64, the area has undergone a period of rapid suburbanization.

Since the Mid-Manhattan Expressway that would have connected the route to New York's Interstate 495 ( Long Island Expressway ) was canceled, Interstate 495 officially became New Jersey Route 495 in 1979 with signs being changed in 1989.

Since then ramp-meters have been systematically deployed in many urban areas including Los Angeles ; San Diego ; Sacramento ; the San Francisco Bay Area ; Fresno ; Seattle ; Denver ; Phoenix ; Las Vegas ; Salt Lake City ; Portland ; Minneapolis-St. Paul ; Milwaukee ; Columbus ; Cincinnati ; Houston ; Atlanta ; Miami ; Washington, DC ( only along Interstate 395 and Interstate 66 in Arlington County, Virginia ); Kansas City, Missouri ; and along the Queen Elizabeth Way in Mississauga, Ontario, Canada.

Since the advent of the Interstate Highway System, Interstate 40 has largely diverted long-distance travel away from Wynne.

Since 2000, the town's proximity Interstate 95 and the trendy downtowns of both West Palm Beach and Lake Worth, as well as its leafy streets and well maintained housing stock, has led to a fast acceleration in housing prices.

Since declaring bankruptcy in 2009, Interstate closed nine of its 54 bakeries and more than 300 outlet stores.

Since the early 1990s, the commercial sector has grown due to its proximity to Interstate 64 and its location along U. S. Route 23 and 60, both major regional arteries which overlap in Catlettsburg and travel into the city of Ashland to the north.

Since Interstate 64 and the AA Highway both converge in Grayson, the northern part of town has an abundance of truck stops and fast-food establishments.

Since Interstate 287 connects to Interstate 87 ( the New York State Thruway ), Exit 10 ( of the turnpike ) is one of the busiest interchanges to be used by tractor-trailers as it connects the New Jersey Turnpike to the New York Thruway.

Since 1968, Kirwan Heights was designated, along with neighboring borough Heidelberg, as Exit 55 on Interstate 79.

Since the 1960s Slippery Rock has been well served by the Interstate Highway system as Interstate 79 ( North-South ) and Interstate 80 ( East-West ) cross roughly 10 miles away.

Since the time that the interchanges were originally numbered, more have been added, leading to situations like Exit 11, which is a minor state route, and 11A, which is a major Interstate Highway away.

Since August 24, 2001, they have been numbered in a scheme somewhat similar to that of the Interstate Highway System in the United States ; the icons of the South Korean Expressways are similar to the US red, white and blue.

Since 1990 the Belgrade Marathon has a standard 42. 195 km length.

Since then, the population has decreased to 32, 295 ( 2011 ), caused by a low birth rate, an old population ( the average age in Rēzekne is 40. 3 years ) ( see ageing of Europe ), and a high rate of emigration to larger cities such as Riga.

Since 295 BC, Zhao foreign policy had been dominated by opportunism and had frequently shifted between hezong () ( anti-Qin alliances ) and lianheng () ( pro-Qin alliances ).

Since interstate travelers were paying most of the tolls that was then being spent on other projects, toll removal became a local political issue that the General Assembly eventually decided to approximately coincide with the opening of the parallel Interstate 295.