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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 ..
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By and same
By the same test predispositions destructive of human personality exercise their most sinister impact, with the result that men of good will are often trapped and nullified.
By this standard, it is determined that where two stations operating on the same frequency are involved, objectionable interference from station A exists at any point within the service area of station B where station A's signal is of an intensity one-twentieth or more of the strength of station B's signal at that point.
By 1937 he had clarified his intentions to serve his people: `` I have striven for clarity and melodious idiom, but at the same time I have by no means attempted to restrict myself to the accepted methods of harmony and melody.
By comparing reaction cells sealed from the same manifold temperature dependency corresponding to activation energies ranging from 11 to 18 Af was observed while dependence on the first power of the light intensity seemed to be indicated in most cases.
By this same combination of the will and the imagination, each one of us can learn to portray permanently the kind of character we would like to be.
By way of explanation we ourselves are prone to imagine that this achievement stems from the same American Catholic zeal and generosity which brought the parochial school system into existence.
By contrast, the cursive developed out of the Nabataean alphabet in the same period soon became the standard for writing Arabic, evolving into the Arabic alphabet as it stood by the time of the early spread of Islam.
By having three stations, a total of three different cars can be operated on at the same time, each one at a different stage of its assembly.
By 300 BC, a punctuation symbol ( two slanted wedges ) was co-opted as a placeholder in the same Babylonian system.
It continues to the present day in much the same format, but is now entitled " Beachcomber ", not " By the Way ".
By avoiding stale views of memory, the CPUs can cooperate on the same program and programs can migrate from one CPU to another.
* By whether the same key is used for both encryption and decryption ( symmetric key algorithms ), or if a different key is used for each ( asymmetric key algorithms ).
By the same time, the Croatian Adriatic coast had taken shape as an internationally popular tourist destination, all coastal republics ( but mostly SR Croatia ) profited greatly from this, as tourist numbers reached levels still unsurpassed in modern Croatia.
By contrast, several countries can also use the same currency ( for example, the euro ), or one country can declare the currency of another country to be legal tender.
By the same principle when the pH is too high, the kidneys excrete bicarbonate ( HCO < sub > 3 </ sub >< sup >-</ sup >) into urine as urea via the Urea Cycle ( aka the Krebs-Henseleit Ornithine Cycle ).
By the 1990s, the US had adopted the M4 carbine, a derivative of the M16 family which fired the same 5. 56mm cartridge but was lighter and shorter ( in overall length and barrel length ), resulting in marginally reduced range and power.
By the end of January 1918, the Investigatory Commission of Petrograd Soviet ( probably same as of Revtribunal ) petitioned Sovnarkom to delineate the role of detection and judicial-investigatory organs.
By 916 fleets under Sihtric Cáech and Ragnall, said to be grandsons of Ímar ( that is, they belonged to the same Uí Ímair kindred as the Ímar who was killed in 904 ), were very active in Ireland.
By and construction
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 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 1827, construction on the Dayton-Cincinnati canal began as a way to better transport goods from Dayton to Cincinnati.
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 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 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.
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