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Using and remainder

Using this inequality, the size of the remainder term can be estimated using

) Using more derivatives, and by tweaking the quadrature, we can do a similar error analysis using a Taylor series ( using a partial sum with remainder term ) for f. This error analysis gives a strict upper bound on the error, if the derivatives of f are available.

Using Dirichlet's theorem on primes in arithmetic progressions, the law of quadratic reciprocity, and the Chinese remainder theorem ( CRT ) it is easy to see that for any M > 0 there are primes p such that the numbers 1, 2, …, M are all residues modulo p.

" Using modern arrangements, it consists of ten tracks that include two on which they sang as a duo and the remainder equally split between Jagjit and Chitra singing the lead.

Using Euclidean division, 9 divided by 4 is 2 with remainder 1.

Using and funds

Using funds allegedly supplied by NCR, he set up what was ostensibly a completely independent organization, Watson's Cash Register and Second Hand Exchange, in Manhattan.

Using funds provided by John Langdon, Stark raised 1, 500 New Hampshire militiamen in the space of six days, more than ten percent of New Hampshire's male population over the age of sixteen.

Using state funds for colonization, German craftsmen were placed in all local Polish cities.

Using the emergency funds of the colonies of Lagos, Sierra Leone and the Gold Coast, he ordered the construction of a railway for the newly conquered area.

Using the funds they received for their lands in Ohio, the Wyandot purchased of land for $ 46, 080 in what is now Wyandotte County, Kansas from the Delaware.

Using the VNP's funds, more than 30 km² of heathland were purchased or rented by 1913.

Using the code name Lise, she brought him funds and acted as his courier.

Using the NFL-City of Cleveland agreement's promise to supply a team to Cleveland by 1999, several NFL franchises used the threat of relocation to coerce their respective cities to build new stadiums with public funds.

Using funds from Namco, they started MonolithSoft and the Xenosaga project.

Using primarily his own funds and credit, Nott purchased between of the hill.

Using funds from a taxpayer-funded government grant to obtain, recondition, and maintain 30 bicycles, project organizers announced plans to station the bicycles in downtown Tucson and areas adjacent to the University of Arizona.

Using company balance sheets, tax data and direct surveys as a basis, government statisticians estimate total investments and assets for the purpose of national accounts, national balance of payments and flow of funds statistics.

Using these messages, banks can exchange data for the transfer of funds between financial institutions.

Using the funds from its IPO ( 1992 ) and the settlement with Microsoft, Stac acquired a remote control product called " ReachOut ".

" Using State funds is a case of abuse.

Using the bank phone number, a business can attempt merchant funds verification if the bank offers the service.

Using his own personal funds, he established a hospital for boatmen who navigated the Mississippi River.

Using his own funds, Sir George Downing, the English ambassador to the Netherlands, raised the Holland Regiment from the starving remnants of those who refused to sign.

Using Works Progress Administration and city funds, the City of Atlanta and the Fulton County Board of Commissioners signed a contract in 1935 to provide library coverage throughout the county.

Using the matching funds philosophy, after Rogers ' death, Julius Rosenwald and the Rosenwald Fund continued and expanded the work, eventually funding over 5, 000 Rosenwald Schools between 1912 and 1932.

Using these funds, García Moreno began his famous highway system project, contracting workers from the trabajo subsidariorequirement to build these roads.

Using funds from FutureBuilders, Centrica and Charity Bank, this project promoted the concept of sustainability through trading to voluntary groups and charities.

Using provincial funds he severed the employment of 700 people who had ' no position of record ' with the Board.

Using the funds that they earned from the lots, the Horizon Double Chair was installed in 1975.

Using and Williams

Using cathode ray tubes, Fred Williams would invent the Williams tube, which would be the first random access computer memory.

Using the “ Gray Ink Test ,” which awards points based on how often a player is among the league batting leaders, Crawford ranks as the ninth best hitter of all time, ahead of greats such as Ted Williams and Mickey Mantle, among others.

Using the same raw, shouting vocals and piano-driven intensity, Williams scored with a number of hit singles.

Using the missile engines, Williams developed a series of personal VTOL flying craft, including a jet-powered belt in 1969, the Williams Aerial Systems Platform ( WASP ), also known as the " flying pulpit " in the 1970s, and the X-Jet, which was evaluated by the United States Army in the 1980s.

Using French's description of Bessie Williams when he found her in the bathtub, Spilsbury reasoned that Smith must have seized her by the feet and suddenly pulled them up toward himself, sliding the upper part of the body underwater.

Using Susan as a hostage Turkell, Cordell and another criminal named Joseph Blums ( Clarence Williams III ) hijack a prison bus and head to Sing Sing, Turkell having convinced himself Cordell wants to free all the inmates and create an army of criminals.

Using and moved

Using standard gauge also allows light rail vehicles to be moved around conveniently using the same tracks as freight railways.

Using this technique, each user program can be moved (" relocated ") in main memory by the operating system, as long as the RA register reflects its position in memory.

Using the Vosges mountains as a curtain of protection, he moved west and then south, reappearing in Belfort, south of the opponent, on 27 December 1674.

Using a diversionary tactic, Cao Cao moved his main force westward towards Yan Ford along the river.

Using small, shallow-draft, and highly manoeuvrable galleys known as chaiky, they moved swiftly across the Black Sea.

Using small, shallow-draft, and highly maneuverable galleys known as chaiky, they moved swiftly across the Black Sea.

Using an interpolated path, the images are moved short distances along the MEP to make sure they are evenly spaced.

Using the first of these frequencies a local version of The Rock was started in Taranaki in 1993, this station was originally broadcast on 100FM but after both the Hamilton and Taranaki stations were sold to Energy Enterprises The Rock in Taranki moved to 95. 6FM.

Using this intelligence, Federal forces, under George B. McClellan, moved north and forced the battle at Antietam, ending the invasion.

Using this support, Nzinga moved northward and captured the Kingdom of Matamba which became her base, even as she sent a detachment to reoccupy the Kindonga Islands, now sacred because her brother's remains were buried there.

Using a string, Vivares ' movements with one arm were followed by a similar but opposite movement of Espinete's other arm ( If Vivares moved her left arm towards the front, the right arm moved towards the back ).

Using the cover of darkness and the heavy smoke that hung over the field, Drummond then moved his men through the defensive ditch to assault the northeast bastion.

Using War Relief Funds and knowing that the airport would benefit the local unemployed constructors the Lancaster Joint Aviation Committee moved forward on modernizing the airport.

Using the information from Anderson's report, the Liberian government moved to assert limited control over the inland region.

Using the matatus as a springboard, the group moved into other areas of commerce, such as rubbish collection, construction, and even protection racketeering.

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