* 7 " Promo ( Given away free with initial copies of Sweaty Handshake album, 27 January 1995 )

Given the Russian historical experiences of frequent invasions and the immense death toll ( estimated at 27 million ) and the destruction the Soviet Union sustained during World War II, the Soviet Union sought to increase security by dominating the internal affairs of countries that bordered it.

Given kept another clean sheet on 27 July 2011 in the 2011 Barclays Asia Trophy in Hong Kong in which Aston Villa beat Blackburn 1 – 0.

On 27 November 2011, Given was brought to tears during a minute of silence for former team-mate and personal friend Gary Speed after he took his own life the day before Aston Villa met Swansea City at the Liberty Stadium.

* 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.

* Parramatta's Lake Given The All-Clear Sydney Morning Herald 27 June 2006

* Home Runs Given Up by Pitcher: 8 ( June 27, 1996 )

* Given a partition of A, G is a transformation group under composition, whose orbits are the cells of the partition ‡;

* Given a transformation group G over A, there exists an equivalence relation ~ over A, whose equivalence classes are the orbits of G.

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 a trigonometric series f ( x ) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S ' as its set of zeros, where S ' is the set of limit points of S. If p ( 1 ) is the set of limit points of S, then he could construct a trigonometric series whose zeros are p ( 1 ).

Given a field K, the corresponding general linear groupoid GL < sub >*</ sub >( K ) consists of all invertible matrices whose entries range over K. Matrix multiplication interprets composition.

Given by the Georgia Historical Society, in conjunction with the Governor of Georgia, to individuals whose accomplishments and community service reflect the ideals of the founding body of Trustees, which governed the Georgia colony from 1732 to 1752.

* Given a recursively enumerable set A of positive integers that has insoluble membership problem, ⟨ a, b, c, d | a < sup > n </ sup > ba < sup > n </ sup > = c < sup > n </ sup > dc < sup > n </ sup >: n ∈ A ⟩ is a finitely generated group with a recursively enumerable presentation whose word problem is insoluble

Given a sinewave generator of very low inherent distortion, it can be used as input to amplification equipment, whose distortion at different frequencies and signal levels can be measured by examining the output waveform.

Given a system of n-dimensional variables ( physical variables ), in k ( physical ) dimensions, write the dimensional matrix M, whose rows are the dimensions and whose columns are the variables: the ( i, j ) th entry is the power of the ith unit in the jth variable.

: Given two sets, there is a set whose members are exactly the two given sets.

* Aggregate signature-a signature scheme that supports aggregation: Given n signatures on n messages from n users, it is possible to aggregate all these signatures into a single signature whose size is constant in the number of users.

Given the fact that it was an election year, whose outcome might have changed as a result of a pre-election-day economic downturn, the Bank of Mexico decided to buy Mexican Treasury Securities in order to maintain the monetary base, and thus prevent the interest rates from rising.

Given his minority status, the new Augustus ruled under the regency of his mother Galla Placidia, one of whose first acts was to install Felix as the Magister utriusque militiae in the west.

Given by the Georgia Historical Society, in conjunction with the Governor of Georgia, to individuals whose accomplishments and community service reflect the ideals of the founding body of Trustees, which governed the Georgia colony from 1732 to 1752.

Given a square matrix A, we want to find a polynomial whose roots are precisely the eigenvalues of A.

# Given an artifact whose performance has been evaluated, it is important to determine why and how the artifact worked or did not work within its environment.

Given by the Georgia Historical Society, in conjunction with the Governor of Georgia, to individuals whose accomplishments and community service reflect the ideals of the founding body of Trustees, which governed the Georgia colony from 1732 to 1752.

Given any set of points in the desired domain of your functions, take a multivariate Gaussian whose covariance matrix parameter is the Gram matrix of your N points with some desired kernel, and sample from that Gaussian.

Given its heritage, MCC continues to participate in the administration of English cricket, and in 2010 offered Lord's as a neutral venue for Pakistan to stage a " home " Test match, as scheduled by the ICC, versus Australia ; although the outcome of that game proved controversial the club's initial offering was made with the intention that Pakistan, whose terrorist-stricken country had rendered it a no-go area for international cricket, could remain within the international cricketing fold.

Given Soane's youth and relative inexperience, his appointment was down to the influence of William Pitt then the Prime Minister and his friend from the Grand Tour Richard Bosanquet whose brother was Samuel Bosanquet, Director and later Governor of the Bank of England.

Given the need for such warheads to reenter the atmosphere swiftly and retain hypersonic velocities to sea level, researchers developed what are known as SHARP materials, typically hafnium diboride and zirconium diboride, whose thermal tolerance exceeds 3600 C. SHARP equipped vehicles can fly at Mach 11 at 30 km altitude and Mach 7 at sea level.

For a finite group G, the left regular representation λ ( over a field K ) is a linear representation on the K-vector space V whose basis is the elements of G. Given g ∈ G, λ ( g ) is the linear map determined by its action on the basis by left translation by g, i. e.

) Given that the telephone system nominal voiceband ( including guardband ) is 4, 000 Hz, the required digital sampling rate is 8, 000 Hz ( see Nyquist rate ).

Given only the nominal value and price, derivation of a real value is immediate:

Given the high loads required the welding machine may deflect and so reduce the plunge depth compared to the nominal setting, which may result in flaws in the weld.

Given these connotations, dandyism can be seen as a political protestation against the rise of levelling egalitarian principles, often including nostalgic adherence to feudal or pre-industrial values, such as the ideals of " the perfect gentleman " or " the autonomous aristocrat ", though paradoxically, the dandy required an audience, as Susann Schmid observed in examining the " successfully marketed lives " of Oscar Wilde and Lord Byron, who exemplify the dandy's roles in the public sphere, both as writers and as personae providing sources of gossip and scandal.

Given m real values t < sub > i </ sub >, called knots, with

Given current values

# Given an array of values to be sorted, set up an auxiliary array of initially empty " pigeonholes ," one pigeonhole for each key through the range of the original array.

Given neighboring China's rapid economic ascendancy, Vietnam highly values its economic relationship with China.

Given a stochastic process, the natural filtration for ( or induced by ) this process is the filtration where is generated by all values of up to time s

Given " mappings " of input variables into membership functions and truth values, the microcontroller then makes decisions for what action to take, based on a set of " rules ", each of the form:

Given a testing procedure E applied to each prepared system, we obtain a sequence of values

Given a series with values in a normed abelian group G and a permutation σ of the natural numbers, one builds a new series, said to be a rearrangement of the original series.

Given the potential for sampling biases of individual survey reports, researchers and investors try sometimes to average the values of different index reports into a single aggregated measure of consumer confidence.

* Given a small, privileged set of inputs ( e. g., reserved words for a compiler ), the permutation table can be adjusted so that those inputs yield distinct hash values, producing what is called a perfect hash function.

Given current values

Given local and transient influences on surface height, the values defined below are based on a " general purpose " model, refined as globally precisely as possible within 5 m of reference ellipsoid height, and to within 100 m of mean sea level ( neglecting geoid height ).

Given any neighborhood of, we can choose a small positive and a small of either sign to get values both greater and less than.

Given any random variables X < sub > 1 </ sub >, X < sub > 2 </ sub >..., X < sub > n </ sub >, the order statistics X < sub >( 1 )</ sub >, X < sub >( 2 )</ sub >, ..., X < sub >( n )</ sub > are also random variables, defined by sorting the values ( realizations ) of X < sub > 1 </ sub >, ..., X < sub > n </ sub > in increasing order.

Given a sequence of positive integers, the Gödel encoding of the sequence is the product of the first n primes raised to their corresponding values in the sequence:

Given this outlook, whatever the level of affection Whistler may have felt for his own mother, one finds an even more divergent use of the image in the Victorian era and later, especially in the United States, as an icon for motherhood, affection for parents, and " family values " in general.

Given that deviance is a measure of the difference between a given model and the saturated model, smaller values indicate better fit.

Given any one cycle, the orientation can be chosen so that cycle takes only nonnegative values.

Given Ireland's ( Northern Protestant and Southern Catholic ) historically conservative sexual values, Magdalene asylums were a generally accepted social institution until well into the second half of the 20th century.

Given that the bards depended on aristocratic support to survive, and that this power and patronage was shifting towards the new English rulers, this thorough condemnation of their moral values may well have contributed to their demise as a caste.

Given all this information, the probability of the observer having spotted a girl given that the observed student is wearing trousers can be computed by substituting these values in the formula:

The general scenario is the following: Given a class S of computable functions, is there a learner ( that is, recursive functional ) which for any input of the form ( f ( 0 ), f ( 1 ),..., f ( n )) outputs a hypothesis ( an index e with respect to a previously agreed on acceptable numbering of all computable functions ; the indexed function should be consistent with the given values of f ).