Given this inherent distortion, it is not unusual for a television or video projector to truthfully claim a linear contrast ratio ( difference between darkest and brightest output levels ) of 1000: 1 or greater, equivalent to 10 bits of audio precision even though it may only accept signals with 8-bit precision and use an LCD panel that only represents 6 or 7 bits per channel.

Given a condition number, the relative error of compensated summation is effectively independent of n. In principle, there is the O ( nε < sup > 2 </ sup >) that grows linearly with n, but in practice this term is effectively zero: since the final result is rounded to a precision ε, the nε < sup > 2 </ sup > term rounds to zero unless n is roughly 1 / ε or larger.

Given the countably infinite number of ways of forming mathematical expressions using a finite number of symbols, the number of symbols used and the precision of approximate equality might be the most obvious way to assess mathematical coincidences ; but there is no standard, and the strong law of small numbers is the sort of thing one has to appeal to with no formal opposing mathematical guidance.

Given its historical underpinnings, we should not be surprised that the revolution in warfare that has been brought about both by the confluence of the aerospace and the electronic revolutions, and by the off-shoot of both — the precision guided munition — is one that has been a long-time coming, back to the Second World War, back, even, to the experimenters of the First World War who attempted, however crudely, to develop " smart " weapons to launch from airships and other craft.

Given the timing information the transmitted waveform can be reconstructed electronically with great precision.

Given the complexity of the calculations involved and the convoluted structure that a convertible bond can have, an arbitrageur often relies on sophisticated quantitative models in order to identify bonds that are trading cheap versus their theoretical value.

Given the age of the Rig Veda being at least 1500 BC or before, this must rank as the earliest practice of beating of the war drum in the history of mankind.

Given that a natural language such as English contains, at any given time, a finite number of words, any comprehensive list of definitions must either be circular or rely upon primitive notions.

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 that ipê trees typically grow in densities of only one or two trees per acre, large areas of forest must be searched and cut down to create paths to harvest and fill orders for boardwalks and, to a lesser extent, homeowner decks.

On 24 July 2003, the Congregation for the Doctrine of the Faith stated, " Given the centrality of the celebration of the Eucharist in the life of a priest, one must proceed with great caution before admitting to Holy Orders those candidates unable to ingest gluten or alcohol without serious harm.

Given a rotating frame composed by three unitary vectors, all the three must have the same angular speed in any instant.

Given that Saint Stephen ’ s relics were uncovered on 26 December 415, Orosius must have departed from Palestine after that date.

Given the current estimated mass of the black hole, the progenitor star must have lost over 30 solar masses of material.

Given a core geometry, the B field needed for a given force can be calculated from ( 2 ); if it comes out to much more than 1. 6 T, a larger core must be used.

Given that the oldest known waterfowl, Vegavis iaai, dates from the Late Cretaceous, galliform ancestors must also have roamed the Earth contemporaneously with animals such as Tyrannosaurus rex.

Given that power is not innate and can be granted to others, to acquire power you must possess or control a form of power currency.

Given that his death in 1040 is described as being " at an immature age " in the Annals of Tigernach, he must have been a young man in 1034.

Given their sting, however, they must always be treated with caution, and the discovery of men o ' war washed up on a beach may lead to the closure of the whole beach.

Given human nature, the variability of human desires, and need for scarce resources to fulfill those desires, the state of nature, as Hobbes calls this anarchic condition, must be a war of all against all.

Given that the success of any organization is founded on the knowledge of the people who work for it, these activities will and, indeed, must continue.

Given that this parasite spends part of its life cycle in two different hosts it must use a proportion of its available resources within each host.

Given a limited budget, the player must design a tank that can defeat a series of ever more challenging opponent tanks.

Given their low metabolic rate and the low density of prey at such depths, vampire squid must use innovative predator avoidance tactics to conserve energy.

Given the already heavy load on students, efforts must be made to avoid curriculum overload.

: Given the centrality of the celebration of the Eucharist in the life of a priest, one must proceed with great caution before admitting to Holy Orders those candidates unable to ingest alcohol without serious harm.

Given an action that must be repeated, for instance, five times, different languages ' for loops will be written differently.

Given the near total destruction of its original habitat, and the lack of any confirmed sightings in over 50 years, most ornithologists believe the Imperial Woodpecker must be extinct.

Given the increasing role of the European Union in the political arena, the National Academies acknowledge that the scope of their advisory tasks must exceed the national borders and that it's important not to lose sight of the European level.

Given the differences in facilities and intangibles such as the distance of the new school from Austin and other law students, the Supreme Court ruled it did not satisfy " separate but equal " provisions, and that African Americans must also be admitted to the University of Texas Law School at Austin.

Given that California's automotive market is one of the largest in the world, CARB wields enormous influence over the emissions requirements that major automakers must meet if they wish to sell into that market.

Given the conceptual context within which ancient thought thrived, how could anyone have questioned this principle??

Idealists are skeptics about the physical world, maintaining either: 1 ) that nothing exists outside the mind, or 2 ) that we would have no access to a mind-independent reality even if it may exist ; the latter case often takes the form of a denial of the idea that we can have unconceptualised experiences ( see Myth of the Given ).

While tests have been done to support this with fixed pieces of flat metal, the result is inconclusive with respect to the curved armour of the period. Given the following actions of the archers, it seems likely Froissart was correct.

Given the first n digits of Ω and a k ≤ n, the algorithm enumerates the domain of F until enough elements of the domain have been found so that the probability they represent is within 2 < sup >-( k + 1 )</ sup > of Ω.

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

Given more time to prepare for trial, Kidd likely would have been able to find the deposition Palmer gave when he was captured in Rhode Island two years earlier.

Given the variety of single stranded viruses that have been described this scheme-if it is accepted by the ICTV-will need to be extended.

Given his poor health history, during 1918 Munch felt himself lucky to have survived a bout of the Spanish Flu, the worldwide pandemic of that year.

Given their strategic location in the North Atlantic, the Faroes could have proved useful to Germany in the Battle of the Atlantic, possibly as a submarine base.

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

Given enough of it, the inhabitants of planet Earth would have nothing to fight about.

Given that Gable and Cukor had worked together before, in Manhattan Melodrama and Gable had no objection to working with him then, and given Selznick's desperation to get Gable for Rhett Butler, if Gable had any objections to Cukor, certainly they would have been expressed before he signed his contract for the film.

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 the Greek fleet's unpreparedness resulting from the premature outbreak of the war, such an early Ottoman attack might well have been able to achieve a crucial victory.

Given that white is the most effective color in terms of facilitating the reflection of ground light, the hypothesis that straight hair could have been adaptively favorable, cannot be fully discounted in this regard.

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 earlier debates by Christian authors about the existence of Jesus, e. g. in Justin Martyr's 2nd century Dialogue with Trypho, it would have been expected that the passage from Josephus would have been used as a component of the arguments.

Given MIT's prominence, allegations of research misconduct or improprieties have received substantial press coverage.

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 that different groups in society have different beliefs, priorities, and interests, to which group would the media tailor its bias?

Given that in biology many phyla, families and genera have some species that live in the sea and others that live on land, marine biology classifies species based on the environment rather than on taxonomy.

Given that the cost of replacing an executive can run over 100 % of his or her annual salary, any investment of time and energy in re-recruitment will likely pay for itself many times over if it helps a business retain just a handful of key players that would have otherwise left.