By construction, hypothesis testing limits the rate

By construction, h is antipode-preserving, and thus has non-zero degree.

By construction, h extends to the whole upper hemisphere of S < sup > n </ sup >, and as such is null-homotopic.

By 1972, however, with only a minimum of work done on the I-95 right of way and none on the potentially massively disruptive Inner Belt, Governor Francis Sargent put a moratorium on highway construction within the MA-128 corridor, except for a short stretch of Interstate 93.

By 1985, construction was completed and the World Financial Center saw its first tenants.

By the turn of the 21st century, Battery Park City was mostly completed, with the exception of some ongoing construction on West Street.

By the autumn of 1855, the royal apartments were ready, though the tower was still under construction and the servants had to be lodged in the old house.

By the same construction, every locally compact Hausdorff space X is a dense subspace of a compact Hausdorff space having at most one point more than X ..

By 1827, construction on the Dayton-Cincinnati canal began as a way to better transport goods from Dayton to Cincinnati.

By 1973, construction of the Naval Communications Station ( NAVCOMMSTA ) was completed.

By construction, each point on the curve shows productive efficiency in maximizing output for given total inputs.

By 2007, the Falkland Islands had a road network of with a further roads planned for construction link to all occupied mainland settlements by 2013.

By the 16th century the vihuela's construction had more in common with the modern guitar, with its curved one-piece ribs, than with the viols, and more like a larger version of the contemporary four-course guitars.

By applying his construction to the sequence of real algebraic numbers, Cantor produces a transcendental number.

By June construction had reached the second level platform, and on Bastille Day this was used for a fireworks display, and Eiffel held a celebratory banquet for the press on the first level platform.

By 1953 nearly one-quarter of the government's budget was devoted to road construction.

By 1907, the product had become successful enough to warrant construction of a second factory at Camberwell Green in London.

By 1947, there would be approximately 22, 000 motor courts in operation in the US alone ; a typical 50-room motel in that era cost $ 3000 per room in initial construction costs, compared to $ 12, 000 per room for metropolitan city hotel construction.

By the construction of ~, this definition is independent of the chosen representatives and the corresponding relation is indeed well-defined.

By construction, d * e = 1 mod φ ( n ).

By 1981 overseas construction projects, most of them in the Middle East, accounted for 60 percent of the work undertaken by South Korean construction companies.

By 1989 there were signs of a revival of the overseas construction market — the Dong Ah Construction Company signed a US $ 5. 3 billion contract with Libya for the second phase of Libya's Great Man-Made River Project, which, when all five phases were completed, was projected to cost US $ 27 billion.

By the 8th century, a navigable canal existed between Old Cairo and the Red Sea, but accounts vary as to who ordered its construction — either Trajan or ' Amr ibn al -' As, or Omar the Great.

By late 1616, Domenichino had designed the coffered ceiling with The Assumption of the Virgin in Santa Maria in Trastevere ; and he had begun a cycle of ten frescoes depicting the Life of Apollo in a garden pavilion of the Villa Aldobrandini ( Belvedere ) in Frascati, where he was assisted by Giovanni Battista Viola, a Bolognese artist who, like Domenichino himself, was a pioneer in the development of classicistic landscape painting.

By 822 Glasnevin, along with Grangegorman and Clonken or Clonkene ( now known as Deansgrange ), had become the farm for Christ Church Cathedral and it seems to have maintained this connection up to the time of the Reformation.

By a vote of the House of Commons, a monument was erected in his honour in St Paul's Cathedral, Abercromby Square in Liverpool is named in his honour.

By tradition in the Church of Scotland, the ministers of St Giles ' Cathedral, Edinburgh, ( also known as the High Kirk of Edinburgh ) and Paisley Abbey are styled The Very Reverend.

* A Popular Description of St. Paul's Cathedral By Maria Hackett, published 1828, 87 pages.

* Biographical Illustrations of St. Paul's Cathedral By George Lewis Smyth, published 1843, 284 pages.

By 1789 St David's Cathedral was suffering from structural problems, the west front was leaning forward by one foot, Nash was called in to survey the structure and develop a plan to save the building, his solution completed in 1791 was to demolish the upper part of the facade and rebuild it with two large but inelegant flying buttresses.

By the end of the century, the city occupied 120 blocks, much of which was under construction, with the new Cathedral begun in 1575.

By the 16th century however, it had declined, and in 1509, a new school was founded by John Colet, Dean of St Paul's Cathedral, on a plot of land to the north of the Cathedral.

By its third performance at St Paul's Cathedral in November 1968, it had been expanded to 35 minutes and included songs such as " Potiphar ".

By 1680 he was already known as the " King's Carver ", and carried out exquisite work for St Paul's Cathedral, the Palace of Windsor, and the Earl of Essex's house at Cassiobury.

By 1713 – 14, however, the Tory government had fallen, and Swift was " rewarded " with the Deanery of St. Patrick's Cathedral, Dublin — a reward he considered an exile.

By February 1894, the Catholic Chapel constructed by the Jesuits was renovated for the first time, on an altar designed by Dr. Jose Rizal to which now stands the Our Lady of the Most Holy Rosary Cathedral.

By 1845, the Cathedral was usually quite crowded on Sundays.

By February 1523 he had gone to Venice, was cantor of Rimini Cathedral and worked for Sebastiano Michiel, who was Grand Prior of the Knights of St. John of Jerusalem.

By 1915, Holy Name Cathedral was balanced out and saved from sinking into the ground.

By 1207, Saggart, or Tasagart, as it was then called by the Normans, had been made a prebend of the Cathedral of St. Patrick.

By 11 September, when the remnants arrived at Durham Cathedral where they were to be imprisoned, only 3, 000 Scottish soldiers were still alive.

By 1169 Coutances held a canonry in Rouen Cathedral.

By 1749 he held the posts of Hof-und Domkapellmeister ( Court and Cathedral chapel master ) simultaneously, an achievement which his successors Michael Haydn, Leopold Mozart, and Mozart himself were not to match.

By 1037 the main portions of the body of Mainz Cathedral were complete.

By 1572 he was singing in the chapel of Ferrara Cathedral, and by 1578 he was on the payroll of Duke Alfonso II d ' Este, one of the most famous patrons of music of the late 16th century.

* Fasti Ecclesiae Hibernicae: The succession of the prelates and members of the Cathedral Bodies in Ireland Volume 1 By Henry Cotton

By 1875 the small church had grown to be the largest Episcopal church in Georgia, and in 1907 St. Philip's was named the Cathedral of the Diocese of Atlanta, which was formed that same year.

By the late 1980s, Laffoley began to move from the spiritual and the intellectual, and evolved to the view of his work as an interactive, physically engaging psychotronic device, perhaps similar to architectural monuments such as Stonehenge or the Cathedral of Notre Dame and their spiritual aura.