Given significant distance from the magnetic poles, one can figure which hand is which using a magnetic compass and the sun.

Without doubt, the single most significant paper concerning the distribution of prime numbers was Riemann's 1859 memoir On the Number of Primes Less Than a Given Magnitude, the only paper he ever wrote on the subject.

Given the currently keen interest in biotechnology and the high levels of funding in that field, attempts to exploit the replicative ability of existing cells are timely, and may easily lead to significant insights and advances.

Given the lack of a significant outer convection zone, theory predicts the absence of a magnetic dynamo in earlier A stars.

Given Orff's previous lack of commercial success, the monetary factor of Carmina Buranas acclaim was significant to him.

Given the supposed closeness of war, the FI thought that the Communist Parties and social democratic parties would be the only significant force that could defend the workers of the world against the imperialist camp in those countries where there were mass forces.

" Given that declaration, along with seven years of bombings and the wording of their communiques throughout that time that strove to present an image of a powerful organization spread secretly throughout all sectors of society, the authorities took significant action.

Given the fact that the Lakeport area has an economy that is based somewhat on agricultural activities occurring in the Big Valley and Scotts Valley area which involve the growing and harvesting of food and nut crops as well as the increasing wine industry, there are a significant number of transient and seasonal farm workers.

Given the associated safety risks, the TGA concluded " efforts should be made to curb the illegal availability of colloidal silver products, which is a significant public health issue.

Given the prevalence of childhood sexual abuse, even if only a small proportion are repressed and only some of them are subsequently recovered, there should be a significant number of corroborated cases.

Given a large enough suspension of combustible flour or grain dust in the air, a significant explosion can occur.

Given the landscape changes ( e. g., land development, urbanization, clearcutting in forested areas ) in the watersheds of many freshwater bodies, returning to pristine conditions would be a significant challenge.

Given that Lucian's understanding of Christian traditions has significant gaps and errors, his writing is unlikely to have been influenced by Christians themselves, and he may provide an independent statement about the crucifixion of Jesus.

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 a sufficiently large sample size, a statistical comparison will always show a significant difference unless the population effect size is exactly zero.

A significant portion of the 1999 movie Any Given Sunday was filmed at the Orange Bowl.

Given that MAVs can be controlled by autonomous means, significant test and evaluation issues continue to exist.

Given the still developing nature of the East-Central European new market economies, the already inundated Commission anticipated a further significant increase in its workload.

Given that his reign lasted for, at best, only a few weeks after his acclamation and he does not seem to have secured significant military or political support Domitianus is more properly categorized as a Roman Usurper rather than an Emperor.

" Given that involuntarily celibate individuals by definition are compelled by circumstance, rather than choice, towards the state of not having a sex life, Galloway's proclamations may be viewed psychoanalytically as exhibiting some or another form of self-justifying behavior, but may be significant nevertheless.

*" Given the significant dangers that varieties of cultural essentialism pose to feminist agendas, I believe that the development of a feminist perspective that is committed to antiessentialism both about ' women ' and about ' cultures ' is an urgent and important task for a postcolonial feminist perspective.

Given the nature of post 9 / 11 counter terrorism strategies employed by the United States of America the operations of the Special Collections Service have experienced significant growth in scale and complexity.

Given Ialá's sharp hostility to Vieira in previous years, this endorsement was viewed as surprising by many, and there was reportedly significant dissatisfaction with the decision among Ialá's supporters.

Given the size of the CAW with the Canadian labour movement, the CAW's support for the Liberals has caused significant problems for the CLC leadership in continuing to follow the Congress ' policy of NDP support.

The SPR went on to say the stories relating to battlefield " visions " which circulated during the spring and summer of 1915, " prove on investigation to be founded on mere rumour, and cannot be traced to any authoritative source ".” Given that the Society for Psychical Research believed in the existence of supernatural forces, the conclusions of this report are highly significant.

Given the serious concern about the integrity of the building's structure it was decided to use marquees for the majority of the function ; the lower floors were temporarily strengthened.

Given that Liverpool was a major trans-Atlantic port and due to the building's proximity to the River Mersey, the lower floors of the Cunard Building were allocated to provide space for cruise liner passengers, both prior to and after sailing.

The East border is now 24th Avenue E. jogging over at 96th to Swan creek, and south to 104th Street E. The South border is now 104th Street E. jogging over at 14th Avenue E to roughly 109th Street E. and west to Golden Given Road E. The West border is now Golden Given Road E. Golden Given Road E is also the east border of the Jessie Dunlap Donation Land Claim with the north and south borders roughly the same as the combined Meeker claims.

Given that Orion's assets did not seem to merit the price paid, and that control of the company would have remained in friendly hands even without the buyout of Redstone, Wall Street observers were puzzled by Kluge's expenditure.

Given the outlandish idea that a blind man could be a detective, in the introduction to the second Carrados book The Eyes of Max Carrados Bramah compared his hero ’ s achievements to those of real life blind people such as Nicholas Saunderson, Lucasian Professor of Mathematics at Cambridge, Blind Jack of Knaresborough the road builder, John Fielding the Bow Street Magistrate of whom it was said he could identify 3, 000 thieves by their voices, and Helen Keller.

Given this influence, it is unfortunate that many of the details of his life remain shrouded in mystery, perhaps forever ; even the only known picture of him, shown above, is heavily retouched, with a fake tie painted in by hand.

Given the definition of above, we might fix ( or ' bind ') the first argument, producing a function of type.

Given a function f ∈ I < sub > x </ sub > ( a smooth function vanishing at x ) we can form the linear functional df < sub > x </ sub > as above.

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 this kind of data, the estimated coefficient on Years of Education in the equation above reflects both the effect of education on wages and the effect of other variables on wages, if those other variables were correlated with education.

Given the existence of a Godlike object in one world, proven above, we may conclude that there is a Godlike object in every possible world, as required.

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 the above commonalities there appear to be only two string theories: the heterotic string theory ( which is also the type I string theory ) and the type II theory.

Given the above fact, one can ask:

Given the above expression, evidently the result of her ( local ) measurement is that the three-particle state would collapse to one of the following four states ( with equal probability of obtaining each ):

Given any of the above definitions of " myth ", the myths of many religions, both ancient and modern, share common elements.

Given the opportunity, for example during an illness that suppresses the immune system, the virus is reactivated and travels to the end of the nerve cell, where it causes the symptoms described above.

Given samples from a population, the equation for the sample skewness above is a biased estimator of the population skewness.

Given the above, the 39 melakhot are not so much activities as " categories of activity.

Given a functor U and an object X as above, there may or may not exist an initial morphism from X to U. If, however, an initial morphism ( A, φ ) does exist then it is essentially unique.

Given the earlier meanings above, this story is probably apocryphal.

Given the rapid orbital decay of objects below approximately, the commonly accepted definition for LEO is between and above the Earth's surface.

Given a probability space, a filtration is a weakly increasing collection of sigma-algebras on,, indexed by some totally ordered set T, and bounded above by.

Given the dimensions of the ellipsoid, the conversion from lat / lon / height-above-ellipsoid coordinates to X-Y-Z is straightforward — calculate the X-Y-Z for the given lat-lon on the surface of the ellipsoid and add the X-Y-Z vector that is perpendicular to the ellipsoid there and has length equal to the point's height above the ellipsoid.

Given this, it is quite natural and convenient to designate a general sequence a < sub > n </ sub > by by the formal expression, even though the latter is not an expression formed by the operations of addition and multiplication defined above ( from which only finite sums can be constructed ).

Given all of the above premises are true, the angle B may be acute or obtuse ; meaning, one of the following is true:

Given any coordinate chart about some point on the manifold, the above identities may be written in terms of the components of the Riemann tensor at this point as:

Given an SVD of M, as described above, the following two relations hold:

Given this s, we can compute the coordinates of 2 ( 2P ), just as we did above: 4P =( 259851, 116255 ).

Given a transfer function in the same form as above: