Given a desired backbone conformation, side chain packing can be designed using variations of the dead-end elimination algorithm ; however, attempts to design proteins of novel folds have difficulty using this method due to an absence of plausible backbone models.

Given the almost complete elimination of 15th century music manuscripts in England, largely by Henry VIII during the Dissolution of the Monasteries in the 1530s, it is not surprising that most of Morton's music survives in sources from the Continent, and if he was ever active as a musician in his native land, all trace is lost.

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 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 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 that the tune was developed in an oral tradition, it is impossible to say for certain which of these influences may have played a specific role in the creation of this tune, but it is certain that numerous folk influences from different cultures such as these were prominent in the musical culture of the camp meeting, and that such influences were freely combined in the music-making that took place in the revival movement.

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 the name infinitesimal calculus, it allowed for precise analysis of functions within continuous domains.

An analytic philosopher, Rorty believed that combining Willard Van Orman Quine's criticism of the analytic-synthetic distinction with Wilfrid Sellars's critique of the " Myth of the Given " allowed for an abandonment of the view of the thought or language as a mirror of a reality or external world.

Given this account, historian Oscar G. Darlington asserts that Gerbert's division by 60 degrees instead of 360 allowed the lateral lines of his sphere to equal to six degrees.

Given no compression, the foam rises to fill the space allowed.

Given the need for immediate action was no longer pressing, François once again demanded he be allowed to wait for his artillery supplies.

Given that all Jews had been expelled from the province of Styria ( which includes Graz ) in the 15th century and were not allowed to return until the 1860s, scholars such as Ian Kershaw and Brigitte Hamann dismiss as baseless the Frankenberger hypothesis, which before had only Frank's speculation to support it.

Given an isolated physical system, the allowed states of this system ( i. e. the states the system could occupy without violating the laws of physics ) are part of a Hilbert space H. Some properties of such a space are

Given the large allowed error, it is not expected that this is too onerous a requirement.

Given this controversy, the investigation appeared unlikely to mollify Canada, which was growing increasingly impatient with Iran's unwillingness to " clearly demonstrate that officials are not allowed to act with impunity " ( Foreign Minister Bill Graham, news conference ).

Given the age of the current Justices, this allowed a Supreme Court size of up to 15 Justices.

Given the dangers of being blown onto the coastal rocks, captains preferred to wait in the lee of the point until favourable winds allowed them to continue.

Given Japan had surrendered to the Allies at the end of World War II, the Japanese forces in Indochina stepped aside and allowed nationalist groups to take over public buildings in most of the major cities.

An attempt by Adrian Davies to launch parallel proceedings in Belgium without notifying the Belgian Court of English proceedings was blocked by a landmark anti-suit injunction granted by Miss Sarah Asplin QC on 20 May 2011, where she stated " Given that the present defendants had submitted to the hearing of that issue and allowed costs to be incurred, in my judgement such conduct is vexatious and oppressive ".

Given the recent succession of Elizabeth I to the throne after the death of Mary I, he was allowed to practice Catholicism for part of his early life.

Given the inherent space efficiency of front-wheel-drive ( FWD ) relative to rear-wheel-drive ( RWD ) platforms, this allowed MMAL to offer a passenger cabin that was as spacious, if not more spacious, than that of the market-dominant Ford Falcon and Holden Commodore.

Given initially started the season, but after a string of defeats and five games without a win, Dalglish went back to Hislop in November and he stayed there until an injury in February allowed Given back into the frame.

Given that other Latin American countries and also Portugal were becoming easy prey to European ( mainly British ) greed, maintaining the monarchy with a monarch of European origin acted as a deterrent and allowed Brazil to ensure the predominance of its international interests.

Given that all Jews had been expelled from the province of Styria ( which includes Graz ) in the 15th century and were not allowed to return until the 1860s, there is no evidence of a Frankenberger family living in Graz at that time.

Given that Tieri was a front boss, it is unknown how much power Lombardo allowed him.

However he lost his place again when Given was fit, though another injury to Given later in the season allowed Harper to gain more first team appearances under the new boss, and the manager who first brought him to Newcastle, Kevin Keegan.

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

Given these laws, organizations are limited in the types of questions they legally are allowed to ask applicants in a job interview.