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 Interstate 195 and Interstate 295, which intersect southwest of the circle, much of the traffic that would have passed through the circle now uses the wider, faster freeways.

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 the great flood of these dystopias has appeared only in the last twelve years, it seems fairly reasonable to assume that the chief impetus was the 1949 publication of Nineteen Eighty-Four, an assumption which is supported by the frequent echoes of such details as Room 101, along with education by conditioning from Brave New World, a book to which science-fiction writers may well have returned with new interest after reading the more powerful Orwell dystopia.

Since " information " in electronic media is often used synonymously with " data ", the term information explosion is closely related to the concept of data flood also dubbed data deluge.

Since 1885 this has occurred in 1886 – 1887, 1889 – 1890, 1916 – 1917, 1950, 1955, and 1974 – 1976, with the highest flood of in 1974.

Since its inception, many improvements can be credited with the development of the flood wall murals and many other improvements throughout the city.

Since construction was complete, no major flooding has occurred in the area protected by the flood wall and levy.

Since 1998, the Ishim River in Astana has been actively managed, for flood management and maintaining water level, in order to provide for recreational use and ensure the showpiece appearance.

Since hog production has become consolidated in the coastal region of N. C., the high water tables and low-lying flood plains have increased the risk and impact of hog farm pollution.

Since Inachus was dated 400 years after the flood of Ogyges and that Ogyges himself was considered a Titan or a primordial Autochthon " from earliest ages ", some ancient Greek or Romans dated the creation ( beginning with Chaos or Gaia ) only a few hundred years before Ogyges ( 2376 – 2050 BC ).

Since the 1997 Red River Flood resulted in water levels that took the existing floodway to the limits of its capacity, various levels of government commissioned engineering studies for a major increase in flood protection for the City of Winnipeg.

Since the 1960s, parts of Launceston have been protected by a series of flood levees that reach up to in height.

Since then, even though Glen Canyon was never built for the purpose of flood control, Reclamation has maintained a minimum of of flood-storage space in the reservoir ( approximately 9 % of Lake Powell's capacity ) to be available on January 1 of any year.

Since 2000, the Lower Balonne floodplain in northwest New South Wales has not received enough water to flood the plains as it once did every two or three years.

Since the establishment of the Environment Agency several major flood events have occurred and the Agency has been the target of criticism.

Since the flood, a flood plain has been established throughout the city making development along the banks inconsiderable.

Since the dam's completion, however, this flood cycle has been interrupted.

Since the Southern Ocean sea-level stabilised 3000 years ago, the rivers of the Port Phillip Sunkland ceased eroding their channels and have been depositing an alluvium of silt, clay and sand in the lower reaches of the flood plains.

Since 1887, the highest flood level at Forbes was in June 1952 when the river peaked at 10. 80m ( 35 feet 3 inches ) at the Forbes Iron Bridge.

Since the village was not counted in that year, it is thought that it may have been abandoned for a short time and then relocated to its present position above the flood plain.

Since then, the department has been involved in numerous initiatives and legislative efforts, including the establishment of new state parks, new flood laws, hunter safety programs, forestry education and the general rejuvenation of Indiana's forestland.

Since the active involvement of the CCC began in the mid-1990s, flood and stormwater management have been implemented in the park and surrounding lands.

Since the 1930s, considerable flood protection measures have been undertaken on the Piako River and surrounding catchment, especially mainly north of Paeroa-Tahuna Road and the Kopuatai Peat Dome.

Since then, the Navy had provided 43, 850 kg of food and relief goods to flood victims ; 5, 700 kg of ready-to-cook food, 1, 000 kg of dates and 5, 000 kg of food has been dispatched to Sukkur.