Given the uncertainties over the validity of these forms,

Given its limited attendance and location, this kurultai was of questionable validity.

Given that Fildes is reported to have had a tendency to make " extravagant boasts ", and that the grenade modifications could have been aimed at making it lighter, the validity of the botulinum toxin theory has been questioned.

Given its limited attendance and location, this kurultai was of questionable validity.

Given Bernstein's own opposition to software licenses, arguments for the validity of Bernstein's web pages as licenses may also strengthen the case for the validity of " click wrap " end-user license agreements, although this seems unlikely because the latter are contracts, whereas pure copyright licenses need never be seen by a user to be in force.

Given that psychologists, such as Elizabeth Loftus, have shown that it is possible to implant false memories in individuals, it is possible to ' come to doubt the validity of therapeutically recovered memories of sexual abuse ... confabulations '.

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.

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 complete lack of citations to this research in GeoRef, JSTOR, Web of Knowledge, and other scientific bibliographic databases, neither the data collected from nor the interpretations and conclusions made as a result of this expedition very likely have been publicly reported in a scientific venue where their credibility can be openly evaluated.

A conceptually very simple method for generating exponential variates is based on inverse transform sampling: Given a random variate U drawn from the uniform distribution on the unit interval ( 0, 1 ), the variate

Given the technical limitations of the day, transporting it was no easy feat — on the pedestal are drawn diagrams explaining the machinery that was used for the transportation.

Given a triangle ABC, let the lines AO, BO and CO be drawn from the vertices to a common point O to meet opposite sides at D, E and F respectively.

Given a random variate U drawn from the uniform distribution in the interval < nowiki >( 0, 1 )</ nowiki >, then the variate

Given a random variate U drawn from the uniform distribution in the interval < nowiki ></ nowiki >, the variate

Given that many of those most actively involved in early efforts were academics ( drawn from a variety of disciplines including Anthropology, Computing Science, Development Studies, Information Science and Systems, Management, Planning, Sociology, and Social Work among others ) it is only inevitable that a process of " sense-making " with respect to these efforts would follow on quite quickly from the flurry of " tool-making " efforts.

Given their positive reception, a full-length adventure was written and drawn by Graton, published in Tintin in 1959.

Given the legal focus of the ICJ's work, membership of these sections is predominantly drawn from the legal profession: lawyers, judges, legal academics and law students.

Given a point off of a line, if we drop a perpendicular to the line from the point, then a is the distance along this perpendicular segment, and φ is the least angle such that the line drawn through the point at that angle does not intersect the given line.

Given an arbitrary point on a torus, four circles can be drawn through it.

Given the absolute magnitude, for objects within our galaxy you can also calculate the apparent magnitude from any distance ( in parsecs ):

Given the absolute magnitude, you can also compute apparent magnitude from its parallax:

Given any element x of X, there is a function f < sup > x </ sup >, or f ( x ,·), from Y to Z, given by f < sup > x </ sup >( y ) := f ( x, y ).

Given BASIC's straightforward nature, it was a simple matter to type in the code from the magazine and execute the program.

Love and Erlandson continued to pursue with the band, and released the single " Be A Man "— an outtake from the Celebrity Skin sessions — for the soundtrack of the Oliver Stone film Any Given Sunday ( 1999 ).

Given r, the rate of rotation is easy to infer from the constant angular momentum L, so a 2D solution can be easily reconstructed from a 1D solution of this equation.

Given two manifolds M and N, a bijective map f from M to N is called a diffeomorphism if both

Given the similarities between the rep proteins of the alphasatellites and the nanoviruses, it is likely that the alphasatellites evolved from the nanoviruses.

) Given a smooth Φ < sup > t </ sup >, an autonomous vector field can be derived from it.

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 that genes are universal to living organisms, genetics can be applied to the study of all living systems, from viruses and bacteria, through plants and domestic animals, to humans ( as in medical genetics ).

Given two groups (< var > G </ var >, *) and (< var > H </ var >, ), a group isomorphism from (< var > G </ var >, *) to (< var > H </ var >, ) is a bijective group homomorphism from < var > G </ var > to < var > H </ var >.

Given a groupoid in the category-theoretic sense, let G be the disjoint union of all of the sets G ( x, y ) ( i. e. the sets of morphisms from x to y ).

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 a point ( in terms of its coordinates ) and the direction ( azimuth ) and distance from that point to a second point, determine ( the coordinates of ) that second point.

On poverty, Hoover said that " Given the chance to go forward with the policies of the last eight years, we shall soon with the help of God, be in sight of the day when poverty will be banished from this nation ", and promised, " We in America today are nearer to the final triumph over poverty than ever before in the history of any land ," but within months, the Stock Market Crash of 1929 occurred, and the world's economy spiraled downward into the Great Depression.

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 MLB's refusal to consider expansion, Kirksey, Cullinan, Smith, and Hofheinz joined forces with would-be owners from other cities and announced the formation of a new league to compete with the established National and American Leagues.

Given the opportunity to get away from the Sultan and visit new lands, he readily accepted.

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

Given printing practices at the time ( which included type-setting from dictation ), no two editions turned out to be identical, and it is relatively rare to find even two copies that are exactly the same.

Given a year to complete the work, Gibson undertook the actual writing out of " blind animal terror " at the obligation to write an entire novel – a feat which he felt he was " four or five years away from ".