Given that the vast majority of all emeralds are treated as described above, and the fact that two stones that appear visually similar may actually be quite far apart in treatment level and therefore in value, a consumer considering a purchase of an expensive emerald is well advised to insist upon a treatment report from a reputable gemological laboratory.

Given these orbital elements and the physical characteristics known so far, Ananke is thought to be the largest remnant of an original break-up forming the Ananke group.

" Given that Edison, as much a businessman as an inventor, spent approximately $ 24, 000 on the system's development and went so far as to build a facility expressly for moviemaking before his U. S. patent was awarded, Rausch's interpretation is not widely shared by present-day scholars.

Given that Aleppo was to far off from Jerusalem for an attack and Damascus, recently allied with the Kingdom of Jerusalem against Zengi, had entered into an alliance with Nur ad-Din, the crusaders decided to attack Damascus, the conquest of which would preclude a combination of Jerusalem's enemies.

Given that we have and are everything, and there's nothing we have to do, there are an infinite number of ways to experience this, not just the one way we may have chosen so far.

Given their streamlined bodies, heavily adapted for fast swimming, it would have been difficult for ichthyosaurs to move far enough on land to lay eggs.

Given that the archaeological record demonstrates Irish settlement on the Llŷn Peninsula however and possible raids as far west as Wroxeter by the late 4th century, it is difficult to conceive of either Roman or allied British forces having presented an effective defence in Wales.

Given their minor status, cities like Istanbul, Edirne, Salonica, Damascus, Beirut or Aleppo being far greater than all three, this is impressively high.

Given the moon's low gravity, it would be far easier to simply plot sub-orbital trajectories which would be far safer and require less supervision from pilots.

Given that an expanding Field is obviously far more effective at protecting a ship than a static one, all Motie Field generators were designed to expand as necessary.

Given the fact that they are the least violent non-parody finishing moves in Mortal Kombat history, Heroic Brutalities were not well received among either the MK series ' fans or the comic book fan community, as even the DC comics themselves are often far more brutal.

Given the numerous descriptions of courses, distances, and directions in the log, this method seems more likely to pinpoint the location, and has been by far the most frequently used method of historians.

Given Errtu's native environment, and the temperament of its denizens, this is an excellent survival trait and not too far off the mark.

Given the considerable overall width of this design, new suburban freeways are often designed with interchanges spaced far enough apart to avoid the need for parallel roadways.

Given the tendency of birds that have become flightless to increase in size markedly in just a few million years, the probability of Hesperornithes deriving from an animal at least superficially similar and not too far related to Gansus is quite high.

Given a null hypothesis and a test statistic T, we can specify a " null value " T < sub > 0 </ sub > such that values of T close to T < sub > 0 </ sub > present the strongest evidence in favor of the null hypothesis, whereas values of T far from T < sub > 0 </ sub > present the strongest evidence against the null hypothesis.

Given the very small number of stars detected, this implies a mass-to-light ratio of about 500, far greater than that of a normal galaxy ( around 50 ).

Order of the Stag ( OSO ): Given for serving the Kingdom well & faithfully, far above & beyond the service normally expected from a citizen of the Kingdom

Peter Mason writes: " Given the measures that the West Indian authorities had taken to ensure that no black man would ever captain a regional side, it was a great irony and a huge source of delight to Constantine that he should be the man to lead the team at the moment of their greatest achievement so far.

Given the large aperture and low f-number of the lens, as well as high convergence ratios and synaptic gains, the ocelli are generally considered to be far more sensitive to light than the compound eyes.

Given that only one officer and an assistant were assigned to warn the Spinifex people who lived across an enormous area far to the west of the test sites, many of the Spinifex were never informed, nor did they leave the area.

Given the limited success in containing the Ghoul so far, he is charged with the difficult and thankless duty of simply holding out as long as he can.

Given that, Yankee manager Billy Martin decided to sit out Reggie Jackson on the grounds that he was 1-for-15 so far in the series and, in his own words, " can't hit Splittorff.

Similarly, Hare refers to “ the crude caricature of act utilitarianism which is the only version of it that many philosophers seem to be acquainted with .” Given what Bentham says about second order evils it would be a serious misrepresentation to say that he and similar act utilitarians would be prepared to punish an innocent person for the greater good.

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 any neighborhood of, we can choose a small positive and a small of either sign to get values both greater and less than.

Given that war is one of the worst evils suffered by mankind, the adherents of the School reasoned that it ought to be resorted to only when it was necessary in order to prevent an even greater evil.

Given that the audio signal is unlikely to be at peak all the time, the ratio of energy is, in practice, even greater.

Given the observed percentage difference p − q ( 2 % or 0. 02 ) and the standard error of the difference calculated above (. 03 ), any statistical calculator may be used to calculate the probability that a sample from a normal distribution with mean 0. 02 and standard deviation 0. 03 is greater than 0.

Given the difficulties experienced in the 2007 Belgian government formation after the federal elections, and the victory of the New Flemish Alliance ( N-VA ), in the 2010 federal elections, the likelihood of Flanders seceding from Belgium appears greater than before.

Given how critical transportation is to every human culture, it is unsurprising that in an interstellar culture, which must deal with distances orders of magnitude greater than terrestrial cultures, the unique ways in which interstellar travel is described in various fictional universes tends to create major plot elements in that universe.

Given that she had become the center of all the cooperative effort of the World Team ( as opposed to individual effort, however heroic ), even players of much greater strength began sharing their ideas with her, so that she would incorporate them into her analysis.

Given a system, we say that a physical event is a stimulus for the system if and only if the probability that the system suffers a change or be perturbed ( in its elements or in its processes ) when the event occurs is strictly greater than the prior probability that suffers a change independently of:

Given that war is one of the worst evils suffered by mankind, the adherents of the School reasoned that it ought to be resorted to only when it was necessary in order to prevent an even greater evil.

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 worse public health and greater rurality, and in the case of Northern Ireland greater security concerns, it would appear that the devolved governments will continue to rely on above average levels of per capita expenditure.

Given the intrinsic unpredictability of the timing and trajectories of meteors, space capsules are prime data gathering opportunities for the study of thermal protection materials at hypervelocity ( in this context, hypervelocity is defined as greater than escape velocity ).

Given his training in atmospheric physics, McDonald was able to examine UFO reports in greater detail than most other scientists, and was able to offer explanations for some previously unexplained reports.

Given a random number seed that is greater or equal to zero.

Given a total sample size greater than 1.

Given capital mobility and perfect substitutability, investors would be expected to hold those assets offering greater returns, be they domestic or foreign assets.

Given such, students were exposed to the deliveries of their teacher with additional teaching and reinforcement coming to an individual from classmates of both greater and lesser mental agilities.