Given these origins, there have been various suggestions over the years to rename the town ( for example, to " Invernevis ").

Given the British origins of the majority of uitlanders and the ongoing influx of new uitlanders into Johannesburg, the Boers recognised that granting full voting rights to the uitlanders would eventually result in the loss of ethnic Boer control in the South African Republic.

Given his generous notion of what constituted an Aryan race ( Evola was convinced of the Hyperborean origins of most Europeans, the indigenous peoples of North and South America, as well as those of the Indian subcontinent ), those candidate races Evola considered to be truly ' alien ' were never explicitly catalogued — except in terms of Semites and the deeply pigmented peoples of sub-Saharan Africa ( see Evola, ' Psicologia criminale ebraica ,' Difesa della Razza 2, no.

Given the sport's origins, Irish-bred and trained horses remain a dominant force in national hunt racing today.

Given here are the ethnic origins of Canadian residents ( citizens, landed immigrants, and non-citizen temporary residents ) as recorded by them on their 2006 census form.

Given the English origins of this alternative, it has traditionally been the version used in the Church of England ( including Canterbury Cathedral ) until modern times, and is the version printed in traditional Church of England liturgical sources including the English Hymnal and New English Hymnal.

Given its origins in the Austro-Hungarian Empire, the name has gone through some transformations, mainly through Magyarization.

Given that there was no evidence that either the U. S. or the U. S. S. R. had anything remotely like the UFOs reported, Sign personnel gradually began considering extraterrestrial origins for the objects.

Given a concrete category ( C, U ) and a cardinal number N, let U < sup > N </ sup > be the functor C → Set determined by U < sup > N </ sup >( c ) = ( U ( c ))< sup > N </ sup >.

Given that the conduct of conclaves is strictly confidential and that any cardinal revealing such details would face automatic excommunication, no documentary evidence has ever substantiated or disproved the widely claimed rumour.

That is, no exception is known to the following: Given two large cardinal axioms A1 and A2, one of three ( mutually exclusive ) things happens:

Given that this is usually a negative sign, there is room for a law of diminishing marginal utility in cardinal utility theory.

Given that the relevant cardinals exist, it is consistent with ZFC either that the first measurable cardinal is strongly compact, or that the first strongly compact cardinal is supercompact ; these cannot both be true, however.

Given the use of similar symbols on the Roman standard, this depiction also conveyed another victory, namely that of the Christian faith: the Roman soldiers who had once arrested Jesus and marched him to Calvary now walked under the banner of a resurrected Christ.

Given that the four trials under consideration can indeed be consistently considered and experimentally realized, the assumptions concerning hidden variables which lead to the indicated mathematical contradiction are therefore collectively unsuitable to represent all experimental results ; namely the assumption of local hidden variables which occur equally in distinct trials.

Given the use of similar symbols on the Roman standard, this depiction also conveyed another victory, namely that of the Christian faith: the Roman soldiers who had once arrested Jesus and marched him to Calvary now walked under the banner of a resurrected Christ.

Given a basis for the complex space, this set, together with these vectors multiplied by i, namely form a basis for the real space.

Given the lack of interest in Occidental Mexican archaeology, only a small number of substantial civic sites have been identified in the region, namely at Ixtapa, Valle, and Ixtlan del Rio.

Given its length and a basin that covers an area of 102, 000 km², it is one of the largest rivers of the Caucasus.

Given the rarity of continuously flowing rivers in any part of Saudi Arabia, the existence of a river such as that described in the Book of Mormon has long been questioned by its critics.

* 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 27 same-size cubes whose nominal values progress from 1 to 27, a 3 × 3 × 3 magic cube can be constructed such that every row, column, and corridor, and every diagonal passing through the center, is composed of 3 cubes whose sum of values is 42.

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.