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Given and absence
Given the lack of a significant outer convection zone, theory predicts the absence of a magnetic dynamo in earlier A stars.
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 Juwayni's polemical aims, and the fact that he burned the Ismaili libraries which may have offered much more reliable testimony about the history, scholars have been dubious about his narrative but are forced to rely on it given the absence of alternative sources.
Given the problem of defining death ( absence of EEG, heart beat, ...) it is hard to imagine a set of quantum parameters that could be used in constructing such superposition.
Given the unrest and absence of a clear authority, the Métis National Committee declared a provisional government on December 8.
Given the time that is needed to build a new stadium, in the absence of significant work improving Windsor Park, Northern Ireland may be forced to play their home games at a venue outside Northern Ireland for a period.
Given played in all of the club's FA Cup games as they reached the quarter-finals, and captained the team for three games during Alan Shearer's absence.
Given the excellent state of preservation of the body and the artifacts recovered from it, the absence of the photograph suggests that he may have reached the summit and deposited it there.
Given the absence of any progress with the UK, Mauritius has decided to " internationalize " the dispute and take up the matter at all appropriate legal and political forums.
Given the presence of Tanganyikan police and the absence of their leader, Okello's gangs of followers did not offer any resistance.
Given the absence of written records, the ethnicities and linguistic affiliations of the groups living in Central and Eastern Europe at that time are speculative — there is considerable disagreement.
Given the typically remote location and the absence of any travel infrastructure at the mines, coal camps became a part of being a coal miner.
Given his extensive absence from Iran, one of the first tasks Teymourtash set for himself upon returning to his native Iran was to retire to the seclusion of his family estates with the task of improving his Persian.

Given and direct
Given the bias of the Victorian age, female students were denied direct study in anatomy and could not attend drawing classes with live models ( who were often prostitutes ) until a decade later.
Given two Lie algebras and, their direct sum is the Lie algebra consisting of the vector space
The Fascist government had direct rule only over the Benadir territory Given the defeat of the Dervish movement in the early 1920s and the rise of fascism in Europe, on 10 July 1925, Mussolini gave the green light to De Vecchi to start the takeover of the north-eastern sultanates.
Given two variables x and y, y is directly proportional to x ( x and y vary directly, or x and y are in direct variation ) if there is a non-zero constant k such that
Given a chance to direct, Del Lord was responsible for a number of very successful comedies for Keystone and directed two feature films for Universal Pictures.
Given the size of many NLPs arising from a direct method, it may appear somewhat counter-intuitive that solving the nonlinear optimization problem is easier than solving the boundary-value problem.
Given the interpretation via linear mappings and direct sums, there is a special type of block matrix that occurs for square matrices ( the case m = n ).
* Given two representations ρ < sub > 1 </ sub >, ρ < sub > 2 </ sub > we may construct their direct sum ρ < sub > 1 </ sub > ⊕ ρ < sub > 2 </ sub > by ( ρ < sub > 1 </ sub > ⊕ ρ < sub > 2 </ sub >) ( g )( v, w )
Given that Soviet success, the apparent inactivity on the most direct route of approach towards Warsaw, through the suburb of Praga, lasting through August and the first half of September, is to say the least puzzling.
Given a direct product of groups, then H is a transversal for the cosets of K.
Given two I-graded vector spaces V and W, their direct sum has underlying vector space V ⊕ W with gradation
Given the Seventh Doctor's appearance and stature, he was surprisingly capable of both directly and indirectly taking control of situations involving strangers, using his greater intelligence to assess and direct events.
Given that spectators are exposed for long periods in direct sunlight, the conical hat is a logical sunsafe device.
Given the rules from NEC, it was a pretty sensitive subject, so direct references had to be changed ", explained Vic Ireland, who worked closely with the game's localization.
Given its importance, a pulse sequence employing direct excitation of < sup > 1 </ sup > H spin polarization, followed by CP transfer to and signal detection of < sup > 13 </ sup > C, < sup > 15 </ sup > N ) or similar nuclei, is itself often referred to as CP experiment, or, in conjunction with MAS, as CP-MAS and Stejskal, 1976.
Given two objects A and B, their direct sum is written as.
Given a indexed family of objects A < sub > i </ sub >, indexed with i ∈ I from an index set I, one may write their direct sum as.
Given two abelian groups ( A, ∗) and ( B, ·), their direct sum A ⊕ B is the same as their direct product, i. e. its underlying set is the Cartesian product A × B with the group operation ○ given componentwise:
Given a finite family of rings R < sub > 1 </ sub >, ..., R < sub > n </ sub >, the direct product of the R < sub > i </ sub > is sometimes called the direct sum.
Given the close proximity to the Pakistani border, it seems to have the most contact with enemy forces and not just in the form of ( improvised explosive devices ) or rocket attacks it's actual direct fire contact with the enemy.
From just outside the penalty area, Taylor let one of his specialist direct free kicks fly straight into the top corner with the returning Newcastle goalkeeper, Shay Given, left stranded after 40 minutes.
Given a fixed total concentration of one or more species over the measurement time, the scattering signal is a direct measure of the weight-averaged molar mass of the solution, which will vary as complexes form or dissociate.

Given and evidence
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 this and other evidence, many scholars agree that Peter was martyred in Rome under Nero, although some scholars argue that he may have been martyred in Palestine.
Given that assumption, the evidence for the one-seed theory is the fact that a woman can conceive without coming to orgasm ( though this was still a matter of dispute in the ancient world and the Middle Ages ).
Given the difficulty in treating scleroderma, treatments with a smaller evidence base are often tried to control the disease.
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 a general statement such as all ravens are black, a form of the same statement that refers to a specific observable instance of the general class would typically be considered to constitute evidence for that general statement.
Given the lack of evidence of many Freudian hypotheses, some scientific researchers proposed the existence of unconscious mechanisms that are very different from the Freudian ones.
Given the biogeography and appearance of the subgenus Olor it seems likely that these are of a more recent origin, as evidence shows by their modern ranges ( which were mostly uninhabitable during the last ice age ) and great similarity between the taxa.
Given overwhelming evidence of Louis's collusion with the invaders, the verdict was a foregone conclusion – with 693 deputies voting guilty, none for acquittal, with 23 abstaining.
Given the many available models, it appears that the material removal mechanism in EDM is not yet well understood and that further investigation is necessary to clarify it, especially considering the lack of experimental scientific evidence to build and validate the current EDM models.
Given the lack of concrete historical knowledge about one of the most potent figures in British mythology, it is unlikely that any definitive conclusions about the claims for these places will ever be established ; nevertheless it is both interesting and important to try to evaluate the body of evidence which does exist and examine it critically.
Given that the police had no evidence against " Thomas ", either at Leatherslade Farm or connection with either of the two gangs, Butler was prepared to let him go.
Given the influence of the temperature of water, as well as the lack of complete adjustment for age, alcohol consumption and smoking, the study concludes that there is limited evidence, but hot mate drinking is " probably carcinogenic to humans ".
Given the amount of evidence suggesting a link between antipsychotic medications and metabolic syndrome, several agencies have recommended regular clinical monitoring of weight, symptoms of hyperglycemia, glucose, hypertension and signs and symptoms of cardiovascular disease in chronically medicated patients with schizophrenia.
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.
Given the prevalence of-assa place-names and words scattered around all sides of the Aegean Sea, this possessive suffix was sometimes considered evidence of a shared non-Indo-European language or an Aegean Sprachbund preceding the arrivals of Luwians and Greeks.
Given the evidence of A. C. Elias about the acrimony of Swift's departure from the Temple household, evidence from Swift's Journal to Stella about how uninvolved in the Temple household Swift had been, and the number of repeated observations about himself by the Tale's author, it seems reasonable to propose that the digressions reflect a single type of man, if not a particular character.
Given the context in which it is used, as well as the evidence of Swift's writing, the possibility that " bloody " is also a minced oath ( or more precisely, a slang usage of an otherwise legitimate word masquerading as a minced oath ) cannot be lightly dismissed.
Given this dismal track record there is no evidence that had Taichang reign lasted any longer than it did, he could have turned around the fortunes of the beleaguered Ming Dynasty after the long steady decline of the latter years of Wanli's reign.
Given enough time, natural change in isolated language can obliterate any meaningful linguistic evidence of a known common genetic source for the languages.
Given Margaret Gibson's thoroughly documented background, the report of her dying confession attracted the attention of film historians, but aside from circumstantial evidence, no independent confirmation has emerged.
Given the unstable state of affairs in Massachusetts, Hillsborough instructed Governor Bernard to try to find evidence of treason in Boston.
Given the limits of the existing evidence, some of these questions may be unresolvable with currently-available techniques.

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