* Given any topological space X, the continuous real-or complex-valued functions on X form a real or complex unitary associative algebra ; here the functions are added and multiplied pointwise.

Given the complexity of the calculations involved and the convoluted structure that a convertible bond can have, an arbitrageur often relies on sophisticated quantitative models in order to identify bonds that are trading cheap versus their theoretical value.

Given this, the bidding is said to start at the one-level when contracting for a total of seven tricks, at the two-level for eight tricks and so on to the seven-level to contract to take all thirteen tricks.

Given the federal nature of the holiday, celebrating Canada Day can be a cause of friction in the province of Quebec, where the holiday is overshadowed by Quebec's National Holiday, on June 24.

Given the rugged terrain of Ngazidja and Nzwani, and the dedication of extensive tracts to agriculture on all three islands, population pressures on Comoros are becoming increasingly critical.

Given an asymmetric subunit on a triangular face of a regular isosahedron, with three subunits per face 60 such subunits can be placed in an equivalent manner.

Given this kind of data, the estimated coefficient on Years of Education in the equation above reflects both the effect of education on wages and the effect of other variables on wages, if those other variables were correlated with education.

* Frederick Douglass lecture on Haiti – Given at the World's Fair in Chicago, January 1893.

Given also a measure on set, then, sometimes also denoted or, has as its vectors equivalence classes of measurable functions whose absolute value's-th power has finite integral, that is, functions for which one has

Given both Einstein's equations and suitable equations for the properties of matter, such a solution consists of a specific semi-Riemannian manifold ( usually defined by giving the metric in specific coordinates ), and specific matter fields defined on that manifold.

Given the difficulty of finding exact solutions, Einstein's field equations are also solved frequently by numerical integration on a computer, or by considering small perturbations of exact solutions.

Given an equilateral triangle, the counterclockwise rotation by 120 ° around the center of the triangle " acts " on the set of vertices of the triangle by mapping every vertex to another one.

Given these, a new term Anthropocene, is specifically proposed and used informally for the latest part of this epoch since approximately synchronous lithospheric evidence, or more recently atmospheric evidence, of human impacts have been found on the Earth and its ecosystems ; these impacts may be considered of global significance for future evolution of living species.

Given that this etymology does not appear in the usual scholarly works on etymology, this claim is usually dismissed as a false etymology.

Given the dual status of science as objective knowledge and as a human construct, good historiography of science draws on the historical methods of both intellectual history and social history.

Given a binary operation ★ on a set S, an element x is said to be idempotent ( with respect to ★) if

Given its heavy dependence on imported energy, Japan has aimed to diversify its sources.

Along with a hand-picked escort led by Given Campbell, Davis and his wife were captured on May 10, 1865, at Irwinville in Irwin County, Georgia.

Given the repeated failures and frustrations of workers ' revolutions and movements, Marx also sought to understand capitalism, and spent a great deal of time in the reading room of the British Museum studying and reflecting on the works of political economists and on economic data.

Given that estimation is undertaken on the basis of a least squares analysis, estimates of the unknown parameters β < sub > j </ sub > are determined by minimising a sum of squares function

Given that spinning a Dyson Sphere would result in the atmosphere pooling around the equator, the Ringworld removes all the extraneous parts of the structure, leaving a spinning band landscaped on the sun-facing side, with the atmosphere and inhabitants kept in place through centrifugal force and 1000 mile high perimeter walls ( rim walls ).

Given the initial energy of 20 TJ, the Space Shuttle is about 16 % energy efficient at launching the orbiter.

Given the hexadecimal representation 3FD5 5555 5555 5555 < sub > 16 </ sub >,

Given overtook Alan Shearer as having played in the most European matches for the club on 16 September 2004 in a game against Bnei Sakhnin, and Given's 12 European and 3 FA Cup appearances helped Newcastle reach the UEFA Cup quarter-final and the FA Cup semi-final.

Given returned on 18 November for Newcastle's 1 – 1 Premier League draw at Arsenal, and ended the season with 22 league appearances as the club finished in 13th place, and reached the last 16 of the UEFA Cup.

Given that 1 yojana is between 14. 6 and 16. 4 km, 2, 202 yojanas must represent between 32, 149 and 36, 113 km.

Given that 1 John 2: 1 views Jesus as a paraclete, the reference in John 14: 16 states that Jesus sends a second paraclete to continue the life of the Church after his departure.

Given so few bits to work with, one major design challenge of RDS-TMC was to find a way of using 16 bits ( about 65000 locations ) to describe an entire state or country.

* Chesley " Sully " Sullenberger: Given on January 16, 2009, for his courage in his successful emergency water landing of US Airways Flight 1549 on the Hudson River.

During the transfer window of the same month, Given moved to Manchester City, elevating Harper's position within the club and so after nearly 16 years, Harper was finally first-choice goalkeeper at 33 years old.

* Home Runs Given Up by Pitcher: 5, Willie Fraser ( August 16, 1998 )

Given the 12th October.

Given obtained his 100th cap against Montenegro at Croke Park, Dublin on 14 October 2009 in a 2010 FIFA World Cup qualifying game.

Given the code name Anna by the StB, he passed along classified information to the Communist government in Prague for five years, until his arrest in Bonn on October 31, 1960.

Given that many governments cannot be legally bound by a non-governmental document such as the World Anti-Doping Code, they are implementing it by individually ratifying the UNESCO International Convention against Doping in Sport, the first global international treaty against doping in sport, which was unanimously adopted by 191 governments at the UNESCO General Conference in October 2005 and came into force in February 2007.

Given the pressing need, the council of Ministers of Michel Rocard's government approved the project in October 1989.

* U. S. surveillance: the Los Angeles Times reported on 27 October 2004: " Given the size of the missing cache, it would have been difficult to relocate undetected before the invasion, when U. S. spy satellites were monitoring activity.

Given these problems, Percy resigned his command of the British Italian Legion in October 1855 in a state of total exasperation.

Given his academic background, Allen was appointed Minister of Colleges and Universities and Minister of Skills Development on October 1, 1990.

Given the uncertain situation caused by the Russian October Revolution in 1917 and the Treaty of Brest-Litovsk in March 1918, some indigenes elected Duke Adolf Friedrich of Mecklenburg as head of the United Baltic Duchy, and the second duke of Urach as king of Lithuania, but these plans collapsed in November 1918.

With a new MLB TV contract signed, again excluding FX, the last such broadcast was scheduled for October 11, 2006, but that night's NLCS game between the St. Louis Cardinals and New York Mets was rained out, making the Detroit Tigers-Oakland Athletics game in the ALCS a national broadcast ; FX aired the movie Any Given Sunday instead.