Given these changes, the classical terms " system ", " expansion " and " peripheral " no longer have the same connotations.

Given the military strength of the Great Powers, these interventions were nearly always decisive and quickly ended the civil wars.

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

Given a groupoid G, the vertex groups or isotropy groups or object groups in G are the subsets of the form G ( x, x ), where x is any object of G. It follows easily from the axioms above that these are indeed groups, as every pair of elements is composable and inverses are in the same vertex group.

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 these two assumptions, the coordinates of the same event ( a point in space and time ) described in two inertial reference frames are related by a Galilean transformation.

We have seen a few cavities of the appropriate size and shape for ivory-bills, but these can be old, or exceptionally large Pileated Woodpecker cavities, or mammal-enlarged Pileated Woodpecker cavities .… Given the results, it is unlikely a population of any meaningful size of Ivory-billed Woodpeckers exists in south Florida.

Given that the Qur ' an is vague regarding the punishment of homosexual sodomy, Islamic jurists turned to the collections of the hadith and seerah ( accounts of Muhammad's life ) to support their argument for Hudud punishment ; these are perfectly clear but particularly harsh.

Given these conditions, Lovelock expects human civilization will be hard pressed to survive.

" Given the elimination of these pernicious influences, Marx allowed that " normal conditions of spontaneous development " of the rural commune could exist.

Given the properties of a concept, these are necessary and sufficient conditions to classify the concept.

Given the same set of verifiable facts, some societies or individuals will have a fundamental disagreement about what one ought to do based on societal or individual norms, and one cannot adjudicate these using some independent standard of evaluation.

" Given a memex, a scholar could create her own knowledge tools as connections within reams of information, share these tools, and use complexes of tools to create yet more sophisticated knowledge that could in turn be deployed toward this work.

Given these issues, Microsoft started to work in parallel on a version of Windows which was more future-oriented and more portable.

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 difficulty in specifying exact distributions of sample statistics, many methods have been developed for approximating these.

Given that the validity of conclusions drawn from a statistical analysis depend on the validity of any assumptions made, it is clearly important that these assumptions should be reviewed at some stage.

" Given enough time, these formations can meet and fuse to create columns of calcium carbonate.

Given India's historic position that the original intent of the line was to separate the two nations by the highest mountains in the world, in these locations India extended its forward posts northward to the ridges, regarding this move as compliant with the original border proposal, although the Simla Convention did not explicitly state this intention.

Given Jerome's conservative methods, and that manuscript evidence from outside Egypt at this early date is very rare ; these Vulgate readings have considerable critical interest.

Given these facts, algorithm defined by the following pseudocode:

Given a model of some atomic positions, these positions and their respective Debye-Waller factors ( or B-factors, accounting for the thermal motion of the atom ) can be refined to fit the observed diffraction data, ideally yielding a better set of phases.

Given these assumptions, the constraint that time travel must not lead to inconsistent outcomes could be seen merely as a tautology, a self-evident truth that cannot possibly be false, because if you make the assumption that it is false this would lead to a logical paradox.

Given the wide disparity of concepts and methods across domains, 4GL limitations lead to recognition of the need for the 5GL.

Given its limitations, however, NAALC has not produced ( and in fact was not intended to achieve ) convergence in employment, productivity and salary trend in North America.

Given the limitations of older hardware, and even today's relative limitations, a fetch of a program, be it a single 4K record or many, is expensive.

Given that Krasnow had effectively poached the band from Buddah there were limitations on what material could be released.

Given the technical limitations of the day, transporting it was no easy feat — on the pedestal are drawn diagrams explaining the machinery that was used for the transportation.

Given these limitations, the quality of the graphics on the Sorcerer was otherwise excellent.

Given the technical limitations of daguerreotype photography which required long exposure times, this was one situation where the portrait subject remained quite still.

Given the technical limitations of the day, transporting it was difficult — on the pedestal are diagrams explaining the machinery used for its transportation.

Given the inherent technical limitations of the visible and palpable signs from these sacroiliac joint mobility maneuvers another broad category of clinical signs have been described called provocative maneuvers.

Given the high degree of nonlinearity of the output of a fuzzy system, traditional linear optimization tools do have their limitations.

* Given the fact that the characters are animated, they do not have the physical limitations of the original puppets.

Given the geographical and numerical limitations of the Fijian language, it needed to be given special attention on its own merit.

Given the software limitations at the time, to make the sound work correctly required a full live orchestra, the first that Soule had ever worked with ; the orchestral tracks in Evermore had been performed by Soule and his brother by themselves, two instruments at a time.

Given the same bullet and cartridge, a faster burning powder will generally use a smaller charge of powder than required with a slower powder.

Given its " grandfathered " status, opium tincture has never been required to undergo the strict FDA drug review and approval process.

Given the CIA's purposeful destruction of most records, its failure to follow informed consent protocols with thousands of participants, the uncontrolled nature of the experiments, and the lack of follow-up data, the full impact of MKUltra experiments, including deaths, will never be known.

Given the rapidity with which its last population was eliminated, it is likely that aboriginal hunting caused its extinction over the rest of its original range ( aboriginal peoples apparently never inhabited the Commander Islands ).

Given that he never reigned, his brother Nicholas II is regarded as the last actual, or de facto Tsar of Russia, and Michael is relegated to a largely forgotten footnote of history.

Given the high value of these areas for wildlife species, close to 70 % of this big-tree old growth forest is protected in reserves, and will never be eligible for harvest.

Given that Cosgrave had never kept minutes before, it is understandable that Cosgrave's minutes, at least early on in the government, proved less than a thorough record of government decisions.

Given his overwhelming European ancestry, Chesnutt could " pass " as a white man, although he never chose to do so.

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 names have never been referred to as middle names, apart from many in Sweden believing so, as mentioned above.

She has expressed her opinion of the comparison in the lyrics to " God Given Name ": " I'm not her and never will be " — which was purposely set as the album's opening track to show their differences.

He spent two years at Celtic in the Scottish League, and despite being named to the substitutes bench for the Old Firm derby against Rangers on 1 January 1994, Given never made a first-team appearance.

Given Bernal's Marxist and pro-Soviet sympathies it is perhaps remarkable that there has never been any suggestion that he fed any information in that direction.

Given the sheer size of the SOL, it seems unlikely that the hallway extended entirely from one end of the ship to the other, given that Joel and Mike were able to run from bridge to theater in so short a time ; however, if it didn't, precisely what was at the other end of the SOL was never revealed.

Given this simple definition one can define a secure system as one that starts in an authorized state and will never enter an unauthorized state.

# Given the purpose this image is being used for in the article, it is unlikely that any such image will be located in the future ( copyright for departmental logos and the Royal Arms are protected by Letters Patent and will never expire under the terms of the Copyrights Designs and Patents Act 1988.

# Given the purpose this image is being used for in the article, it is unlikely that any such image will be located in the future ( copyright for departmental logos and the Royal Arms are protected by Letters Patent and will never expire under the terms of the Copyrights Designs and Patents Act 1988.

# Given the purpose this image is being used for in the article, it is unlikely that any such image will be located in the future ( copyright for departmental logos and the Royal Arms are protected by Letters Patent and will never expire under the terms of the Copyrights Designs and Patents Act 1988.

# Given the purpose this image is being used for in the article, it is unlikely that any such image will be located in the future ( copyright for departmental logos and the Royal Arms are protected by Letters Patent and will never expire under the terms of the Copyrights Designs and Patents Act 1988.

# Given the purpose this image is being used for in the article, it is unlikely that any such image will be located in the future ( copyright for departmental logos and the Royal Arms are protected by Letters Patent and will never expire under the terms of the Copyrights Designs and Patents Act 1988.

# Given the purpose this image is being used for in the article, it is unlikely that any such image will be located in the future ( copyright for departmental logos and the Royal Arms are protected by Letters Patent and will never expire under the terms of the Copyrights Designs and Patents Act 1988.

# Given the purpose this image is being used for in the article, it is unlikely that any such image will be located in the future ( copyright for departmental logos and the Royal Arms are protected by Letters Patent and will never expire under the terms of the Copyrights Designs and Patents Act 1988.

# Given the purpose this image is being used for in the article, it is unlikely that any such image will be located in the future ( copyright for departmental logos and the Royal Arms are protected by Letters Patent and will never expire under the terms of the Copyrights Designs and Patents Act 1988.

# Given the purpose this image is being used for in the article, it is unlikely that any such image will be located in the future ( copyright for departmental logos and the Royal Arms are protected by Letters Patent and will never expire under the terms of the Copyrights Designs and Patents Act 1988.

# Given the purpose this image is being used for in the article, it is unlikely that any such image will be located in the future ( copyright for departmental logos and the Royal Arms are protected by Letters Patent and will never expire under the terms of the Copyrights Designs and Patents Act 1988.