Given the unusual casting and production demands, Pacific Overtures remains one of the least-performed musicals by Stephen Sondheim.

Given an eclipse, then there is likely to be another eclipse after every period P. This remains true for a limited time, because the relation is only approximate.

Given the book's fluid and changeable approach to plot and characters, a definitive, critically agreed-upon plot synopsis remains elusive ( see Critical response and themes: Difficulties of plot summary below ).

Given that the Liber historiae Francorum admits four years for Chlothar's reign, it remains possible that Chlothar began to exert some real authority when his mentors deemed him an adult, 669.

Given that he resorted to cannibalism so near to food supplies, and that he killed and consumed the remains of all those present, it was revealed that Swift Runner's was not a case of pure cannibalism as a last resort to avoid starvation, but rather of a man suffering from Wendigo psychosis.

Given the controversy surrounding her grave site, it is possible that she may have been initially interred at Kaithal and then later at Delhi but this remains purely a speculation with no evidence of any kind.

Given that Montagu-Stuart-Wortley's orders prior to the attack had been " to occupy the ground that is won by the artillery " his dismissal remains a subject of controversy.

Emperor Krishna Deva Raya was fluent in many languages. Given his patronage, there remains a debate about whether he was a Telugu or Tulu ..

Given the amount of effort expended, and the closeness in time, it remains probable that George Elliott was the illegitimate son of Richard and Catherine.

Given the context of the Clerk's tale, what lesson, if any, Chaucer intended remains an open guess.

Given Rondeau's personal popularity, it remains to be seen whether the riding will become " safe " for the New Democrats in the long-term.

Given this expansion, most people shorten the name to simply " The Kingdom " in common usage, though the formal name remains in some documents.

Eleanor Herman, on page 113 in her book Sex With Kings, records " Given " claimed the remains of 2, 500 infants were found in La Voisin's garden.

Given the situation, it is little surprise that what remains of the command structure is unable to mount an effective defense even when warned in advance of the coming Invid threat.

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 ).

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 parallel morphisms f and g, the equaliser of f and g is just the kernel of g − f, if either exists, and the analogous fact is true for coequalisers.

Given that Melampus had two sons, Abas and Mantius, different sources made Coeranus, father of Polyeidos, son or grandson of either of the two.

* Given a point and a circle, to draw either tangent.

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

Given a table of costs and revenues at each quantity, we can either compute equations or plot the data directly on a graph.

Given names resonant of qualities which are perceived to be either masculine or feminine are frequently given, with males being linked with strength and firmness and females with beauty and flowers.

Given that no majority supported either a leader or a split, a registration campaign, enabling membership for only 20 euros, and a closed primary was organized, which Ségolène Royal won.

Given the statement, " All of Peters friends either like to dance or like to go to the beach ", we can identify key aspects and rewrite using symbols including quantifiers.

Given that anencephaly is a fatal condition, parents receive the option of abortion either in the second or third trimester of pregnancy, depending on the abortion laws in the state.

Given two normed vector spaces V and W ( over the same base field, either the real numbers R or the complex numbers C ), a linear map A: V → W is continuous if and only if there exists a real number c such that

The specific problems are: Given two, three or four points on a straight line, find another point on it such that its distances from the given points satisfy the condition that the square on one or the rectangle contained by two has a given ratio either ( 1 ) to the square on the remaining one or the rectangle contained by the remaining two or ( 2 ) to the rectangle contained by the remaining one and another given straight line.

Given the fact that overseas learners of Mandarin are not taught Tongyong Pinyin either, there are few people in the world who use it in any practical sense.

Given that most university study is subsidized ( either because it takes place at a state or public university, or because the student receives government loans or grants ), this type of underemployment may also be an ineffective use of public resources.

Recent findings suggest to differentiate between three types of hoarding, that is: pure hoarding, hoarding plus OCD ( i. e., comorbid OCD ), and OCD-based hoarding Given the aforementioned distinction, it was proposed to increase coverage of compulsive hoarding in the forthcoming Diagnostic and Statistical Manual of Mental Disorders, fifth edition ( DSM-V ), both by creating a distinct category for compulsive hoarding, provisionally named, Hoarding Disorder ( either in the main manual under " obsessive-compulsive spectrum disorders " or in the appendix ), and by including hoarding as a potential symptoms of OCD.

Given the Likert Scale's ordinal basis, summarizing the central tendency of responses from a Likert scale by using either the median or the mode is best, with ‘ spread ’ measured by quartiles or percentiles.

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.

The original problem was stated in the form that has become known as the Euclidean Steiner tree problem or geometric Steiner tree problem: Given N points in the plane, the goal is to connect them by lines of minimum total length in such a way that any two points may be interconnected by line segments either directly or via other points and line segments.

Given his positive reference to Genesis, Longinus has been assumed to be either a Hellenized Jew or readily familiar with the Jewish culture.

Given the choice of either apologizing to the Centauri or losing his command, Sheridan decided to apologize.

Given the difficulty of scoring directly from the point due to the distance to the goal, goals scored from the point are typically either on screens, or are tipped goals.

" Given the massing troops in 2008, perhaps such a transborder reserve would create not only a demilitarized buffer zone in which any future demarcation can be amicably undertaken, but a recognition of the added ecological and cultural aspects of an area which both Cambodia and Thailand may still save from the destructive and exploitative impacts of rapid development so often suffered in other ASEAN countries.

Given two subspaces with, this leads to a definition of angles called canonical or principal angles between subspaces.

Given points P < sub > 0 </ sub > and P < sub > 1 </ sub >, a linear Bézier curve is simply a straight line between those two points.

Given that Bozizé accuses Sudan of supporting the UFDR rebels who are actively fighting the Central African Government, the relation between the two countries has remained good.

Given this basic definition, further criteria are needed to establish a dividing line between postlexical clitics and morphological affixes, since both are characterized by a lack of prosodic autonomy.

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

Given the great historical link between Persian and Jewish history, modern day Persian Jews are called " Esther's Children ".

Given the universality of free fall, there is no observable distinction between inertial motion and motion under the influence of the gravitational force.

Given the distances between the stars, the great majority of stellar systems in colliding galaxies will be unaffected.

Given the differences of opinion within the Lord Aberdeen cabinet over the direction of foreign policy with regard to relations between Britain and the French under Napoleon III, it is not surprising that debate raged within the government as Louis Bonaparte, now assuming the title of Emperor Napoleon III of France.

Given a ( random ) sample the relation between the observations Y < sub > i </ sub > and the independent variables X < sub > ij </ sub > is formulated as

Given two secondary stations, the time difference ( TD ) between the primary and first secondary identifies one curve, and the time difference between the primary and second secondary identifies another curve, the intersections of which will determine a geographic point in relation to the position of the three stations.

Given the choice between nylon and gut, many luthiers prefer to use gut, as it conforms more readily to the sharp angle at the edge of the fingerboard.

Given the overall size of trade between Mexico and the United States, there are remarkably few trade disputes, involving relatively small dollar amounts.

Given an arbitrary group G, there is a related profinite group G < sup >^</ sup >, the profinite completion of G. It is defined as the inverse limit of the groups G / N, where N runs through the normal subgroups in G of finite index ( these normal subgroups are partially ordered by inclusion, which translates into an inverse system of natural homomorphisms between the quotients ).

Bernhard Riemann in his memoir " On the Number of Primes Less Than a Given Magnitude " published in 1859 extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation and established a relation between its zeros and the distribution of prime numbers.

Given the role that many social groups have in the development of public policy and the extensive connections between state bureaucracies and other institutions, it has become increasingly difficult to identify the boundaries of the state.

Given an ongoing rift in the sport during the 1860s between the northern professionals and Surrey, MCC feared the loss of its authority should Grace " throw in his lot with the professionals " so it was considered vital for them and their interests to get him onside.

Given the difference between their roles and emphases, some scholars have speculated that the interactions between the Æsir and the Vanir reflect the types of interaction that were occurring between social classes ( or clans ) within Norse society at the time.

Given the symmetry of circularly polarized light, we could have in fact selected any other two orthogonal components and found the same phase relationship between them.

Given that different languages have different grammatical features, the actual test for which nouns are mass nouns may vary between languages.

Given two dual numbers p, and q, they determine the set of z such that the Galilean angle between the lines from z to p and q is constant.

Given the structural similarities between bacterial flagella and bacterial secretory systems, it is thought that bacterial flagella may have evolved from the type three secretion system ; however, it is not known for certain whether these pores are derived from the bacterial flagella or the bacterial secretory system.