Given Edward's unpopularity, the rumours spread considerably before Deydras ' eventual execution, and appear to have greatly upset Isabella.

" Given that declaration, along with seven years of bombings and the wording of their communiques throughout that time that strove to present an image of a powerful organization spread secretly throughout all sectors of society, the authorities took significant action.

Dr. Tennison states: " Given the account of Elliot Paul, and given that Lead Belly witnessed boogie-woogie in 1899 in the Arklatex ; and given the North to South migration of the Thomas family ; and given the Texas & Pacific headquarters in Marshall in the early 1870s ; and given that Harrison County had the largest slave population in the state of Texas ; and given the fact that the best-documented and largest-scale turpentine camps in Texas did not occur until after 1900 in Southeast Texas, it is most probable that boogie-woogie spread from Northeast to Southeast Texas, rather than from Southeast to Northeast Texas, or by having developed diffusely with an even density over all of the Piney Woods of East Texas.

Given the chaotic situation in China, the corruption Doihara methodically spread didn't take long to reach the very top.

Given the Likert Scale's ordinal basis, summarizing the central tendency of responses from a Likert scale by using either the median or the mode is best, with ‘ spread ’ measured by quartiles or percentiles.

Given the nature of medical treatment, the insured often faces multiple medical expenses spread over several days for a single illness or injury.

Given the high volume of modern international trade, banana producers expect this strain to spread through Africa and into South America and the Caribbean.

Given the reduction in the rate of spread once screening for Hepatitis C in blood products was implemented in the 1990s it would seem that at least in recent times blood transfusion has been an important method of spreading for this virus.

Given Larry ’ s well-established reputation and strengths as a DJ, the release of the album was followed by a deluge of bookings for an album world tour that continued for the rest 2005 ; two U. S. tours, two Australian tours, and countless European dates ensured that the Calyx sound spread far and wide.

An eyewitness account of the last day of Major André can be found in the book The American Revolution: From the Commencement to the Disbanding of the American Army Given in the Form of a Daily Journal, with the Exact Dates of all the Important Events ; Also, a Biographical Sketch of the Most Prominent Generals by James Thacher, M. D., a surgeon in the American Revolutionary Army:

Given any expression involving complex numbers, bras, kets, inner products, outer products, and / or linear operators ( but not addition ), written in bra-ket notation, the parenthetical groupings do not matter ( i. e., the associative property holds ).

* Given any combination of complex numbers, bras, kets, inner products, outer products, and / or linear operators, written in bra-ket notation, its Hermitian conjugate can be computed by reversing the order of the components, and taking the Hermitian conjugate of each.

Given a group G, a factor group G / N is abelian if and only if ≤ N.

Given two groups G and H and a group homomorphism f: G → H, let K be a normal subgroup in G and φ the natural surjective homomorphism G → G / K ( where G / K is a quotient group ).

It is described as " the ancient grayhound .. that had been with Lugh of the Mantles, / Given him by the sons of Tuireann Bicreann ;.."

Given an arbitrary group G, there is a related profinite group G < sup >^</ sup >, the profinite completion of G. It is defined as the inverse limit of the groups G / N, where N runs through the normal subgroups in G of finite index ( these normal subgroups are partially ordered by inclusion, which translates into an inverse system of natural homomorphisms between the quotients ).

Given the poorly understood nature of the endocannabinoid system, it will take many more generations of progress to even scratch the surface of the extraordinarily complex mechanisms that control neurological development / degeneration.

Given Ω microstates at a particular energy, the probability of finding the system in a particular microstate is p = 1 / Ω.

Given their vertical-cavity geometry, VCSOAs are resonant cavity optical amplifiers that operate with the input / output signal entering / exiting normal to the wafer surface.

Given the dimensions of the ellipsoid, the conversion from lat / lon / height-above-ellipsoid coordinates to X-Y-Z is straightforward — calculate the X-Y-Z for the given lat-lon on the surface of the ellipsoid and add the X-Y-Z vector that is perpendicular to the ellipsoid there and has length equal to the point's height above the ellipsoid.

So, a collection of functions with given signatures generate a free algebra, the term algebra T. Given a set of equational identities ( the axioms ), one may consider their symmetric, transitive closure E. The quotient algebra T / E is then the algebraic structure or variety.

Given that both Jonathan and Peleg Card were scheduled to be tried by the Vermont Committee of Safety ( Peleg died 6 Sep 1777, and it is unknown if the trial was actually held ) it is likely that Philo Card is, in reality, Peleg Card ( 1740 – 1777 ) --- and Stephen ( 1748 – 1798 ) -- ( Source: National Archives of Canada, WO 28 / 10, Reel B-2867, pp. 17 – 18.

Given the price of 1 / 32 Mark for six small fruit pies ( as seen in Dragonsinger ), it places the value at around $ 20 to the Mark.

Given that the majority of autoinducer – synthase / receptor occurs in tandem in bacterial genomes, it is also rare that they switch partners and so pairs tend to co-evolve.

) Given the diffusion of different Piers / Ploughman texts, it is usually not possible to be certain about what someone means to refer to when they mention " Piers Plowman " unless they provide specific identifying details — and most writers do not.

* Convex hull: Given a set of points, find the smallest convex polyhedron / polygon containing all the points.

* " The Property Regime in a Cyprus Settlement: A Reassessment of the Solution Proposed under the Annan Plan, Given the Performance of the Property Markets in Cyprus, 2003-2006 ( PDF )" Stelios Platis, Stelios Orphanides and Fiona Mullen, PRIO Report 2 / 2006, PRIO Cyprus Centre, November 2006

Given a strictly increasing integer sequence / function ( n ≥ 1 ) we can produce a faster growing sequence ( where the superscript n denotes the n < sup > th </ sup > functional power ).

Given a more realistic yield of 36 tonnes / hectare ( 3834 US gal / acre ) the area required is about 152, 000 square kilometers, or roughly equal to that of the state of Georgia or of England and Wales.

Given Western Electric / AT & T Unix licensing, DEC ( and others ) were restricted to selling binary-only licenses.

Given proper combustion chamber design, pre-ignition can generally be eliminated by proper spark plug selection, proper fuel / air mixture adjustment, and periodic cleaning of the combustion chambers.

Given that the southern part of the Upper Ward ( where Crown Square is now sited ) was not suited to being built upon until the construction of the vaults in the 15th century, it seems probable that any earlier buildings would have been located towards the northern part of the rock ; that is around the area where St. Margaret's Chapel stands.

Given the size of Merchant's capital outlay — including construction in Boswell of the world's largest tipple, a central business district and a high school — the company planned big things for Boswell.

Given the coarse construction of the walls, there was no second story to a typical home, and the roof would have been constructed of light wooden beams and thatch mixed with mud.

Given an action of one group scheme on another by automorphisms, one can form semidirect products by following the usual set-theoretic construction.

Given projected growth, and the limited ability to expand Terminal 2, the Egyptian Ministry of Civil Aviation began construction of Terminal 3 in 2004.

Given this rapid rate of construction, the GVN was unable to fully support or protect the hamlets or its residents, despite the immense funding by the United States government.

Given the difficult topographic and climatic conditions, construction units were prefabricated.

Given the business specifics, the name of the network construction and maintenance company SIA Citrus Solutions remained as is.

Given that it took 46 years of construction, scholarly estimates for the Temple visit in the Gospel of John are around 27-29 AD.

Given an arbitrary square matrix, the elementary divisors used in the construction of the Jordan normal form do not exist over F, so the invariant factors a < sub > i </ sub >( x ) as given above must be used instead.

Given the prominent role of segregation in the construction and maintenance of the urban underclass, Massey and Denton call for policies that promote desegregation.

Given its unusual ability to " fly " tools around a work site, it has many possible applications, including stone carving, ship building, bridge construction, inspection, pipe or beam fitting and welding.

Given the eigenstates of l < sub > 1 </ sub > and l < sub > 2 </ sub >, the construction of eigenstates of l ( which still is conserved ) is the coupling of the angular momenta of electrons 1 and 2.

" Given the unprecedented decline in new construction, however, more action is necessary.

Given that the chelandia appear originally to have been oared horse-transports, this would imply differences in construction between the chelandion and the dromōn proper, terms which otherwise are often used indiscriminately in literary sources.

Given the high cost of construction and limited production, analysts do not expect LFA sales to be profitable.

Given responsibility for housing, Lee quickly moved to implement a " socialist " plan for state housing, with the construction of many new dwellings for the poor.

Given this capacity for work it was not surprising that construction was allowed to continue through the war years.

Given the importance of this segment of Highway 401 through the GTA, the Ministry of Transportation was particularly concerned with the development of construction staging plans and the mitigation of traffic during the rehabilitation of the Hogg ’ s Hollow Bridge.

Given the time we must assume that Ongendus was involved with the construction of the Danevirke, as it was under construction at this time.

Given the above construction, it should now be straightforward to understand how the volume element is invariant under an orientation-preserving change of coordinates.

Given the costs and resources involved in the construction and operation of manufacturing systems, the engineering process must be made more efficient.

Given the size of the project, construction progressed quickly, taking just two years.