Given a small ball or marbles, he would invent games and play by himself for hours.

Given the small population of the region ( compared with the Central Canadian provinces or the New England states ), the regional economy is a net exporter of natural resources, manufactured goods, and services.

Given the difficulty of finding exact solutions, Einstein's field equations are also solved frequently by numerical integration on a computer, or by considering small perturbations of exact solutions.

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

Given its small domestic market but favourable location and a superb transport and communications base, Namibia is a leading advocate of regional economic integration.

Given typical workloads, Cray felt that the small cost incurred by being required to break large sequential memory accesses into segments was a cost well worth paying.

Given the small temperature range kinetic studies occur in, it is reasonable to approximate the activation energy as being independent of the temperature.

Given the type of warfare that had been carried out in the conflict — wherein highly mobile groups of soldiers and rebels continued to move to and from on the desert terrain, retreating at a time and then suddenly attacking to regain control of small towns and villages in the Eastern rebel held parts of Libya — had led to the technical becoming a vehicle of choice for both sides.

Given the slow speed and the coarse resolution this was not a feasible technique for printing large images, but could usefully print a small logo onto a letterhead and then the following letter, all in a single unattended print run without changing the print element.

* Given a small, privileged set of inputs ( e. g., reserved words for a compiler ), the permutation table can be adjusted so that those inputs yield distinct hash values, producing what is called a perfect hash function.

Given that the businesses in Miami Springs had always relied upon the large disposable incomes of the employees of the large airline carriers, the bankruptcy of both corporations in the same year created a chain reaction, eventually causing many small businesses to close their doors.

Given the borough's small size, as well as the county's small population, the presence of business and government remain limited.

Given the price of 1 / 32 Mark for six small fruit pies ( as seen in Dragonsinger ), it places the value at around $ 20 to the Mark.

: Little Hope Given Brain-Damaged Man ( A brain-damaged man is unlikely to recover, or a brain-damaged man is causing another situation to have little hope of resolution, or someone gave a brain-damaged man to a small girl named Hope.

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 Canada's small market and its position next to the dominant producer of feature films, the Canadian film industry receives substantial assistance from the government.

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 the small likelihood of his older brothers producing heirs, and William's relative youth and good health, it had long been considered extremely likely that he would become King in due course.

" Given that the parched region of the Gran Chaco ( largely uninhabited ) had been under dispute between Bolivia and Paraguay ever since the creation of both republics, each proceeded to establish a line of small garrisons ( fortines ), simply to establish a national presence and press their claims.

Given small differences in policies, the same type of software can produce radically different social outcomes.

Given the small size of the Netherlands, the latter co-operation is not likely to be symmetrical.

She also had a small role as a call girl hired by Al Pacino's character in Oliver Stone's sports drama Any Given Sunday, as well as a key supporting role in Woody Allen's The Curse of the Jade Scorpion.

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 the object's fixed internal moment of inertia tensor and fixed external angular momentum, the instantaneous angular velocity is.

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

Given the orientation matrix A ( t ) of a frame, we can obtain its instant angular velocity tensor W as follows.

Given the angular velocity vector and velocity of the object, the resulting force can be calculated using the following formula:

Given that Euler's rotation theorem states that there is always an instantaneous axis of rotation, the angular velocity,, can be given by a vector over this axis

Given the eigenstates of l < sub > 1 </ sub > and l < sub > 2 </ sub >, the construction of eigenstates of l ( which still is conserved ) is the coupling of the angular momenta of electrons 1 and 2.

Given that any frame in the space can be described by a rotation matrix, the displacement among them can also be described by a rotation matrix.

Given the limited success of this engine, after a short period of time ( 1 year or so ) was replaced by the first evolution with head multivalve of 1242 cc and multipoint injection, with the considerable power of 86 hp at 6000 rpm / min and max torque of 113 Nm at 4500 r / min, which debuted on this model ( as it was at that time in 1985 on the 999 8v Y10 ), still among the best engines of this displacement, power and performance.

* Santa Cruz ( Indefatigable ) Island ( Galápagos ) – Given the name of the Holy Cross in Spanish, its English name derives from the British vessel HMS Indefatigable.

Given special access to the vessel chosen as the royal barge he spoke to the boat's owner, Philip Morrell as well as composer Debbie Wiseman who was commissioned to write the music for the event.

Given any x and any y, if all the molecules in y are perfectly elastic and spherical, possess equal masses and volumes, have negligible size, and exert no forces on one another except during collisions, then if x is a gas and y is a given mass of x which is trapped in a vessel of variable size and the temperature of y is kept constant, then any decrease of the volume of y increases the pressure of y proportionally, and vice versa.

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 the opportunity, adults eat hatchlings, which may be protected by separating the two groups with a net, breeding box or separate tank.

Given that many journeys are for relatively short distances, there is considerable scope to replace car use with walking or cycling, though in many settings this may require some infrastructure modification, particularly to attract the less experienced and confident.

Given the radically different motivating assumptions, it may come as a surprise that ESSes and Nash equilibria often coincide.

Given the conflicting information available, the true identity of his killer may well be lost to history.

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 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 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 a complete set of axioms ( see below for one such set ), modus ponens is sufficient to prove all other argument forms in propositional logic, and so we may think of them as derivative.

Given this assumption, there are four categories in which a firm's profit may be considered to be.

Given that the leadership of the EU is subject to a particularly low voter turnout, it may be termed an oligarchy of the European Council members.

Given this and other evidence, many scholars agree that Peter was martyred in Rome under Nero, although some scholars argue that he may have been martyred in Palestine.

Given a preorder on S one may define an equivalence relation ~ on S such that a ~ b if and only if a b and b a.

* Given the sensitive problems of holding a war to be illegal, most issues relating to the constitutionality of a war may well be nonjusticiable.

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

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.

Given the structure of the experiment, it may or may not be possible to actually perform it, and, in the case that it is possible for it to be performed, there need be no intention of any kind to actually perform the experiment in question.

Given X and Y, several different embeddings of X in Y may be possible.

Given the consensus that " the most archaic layer of the biography, that of the stories of the kussās popular story-tellers " ( Sīra, EI² ), this may prove a fruitful line of inquiry.

Given that the hypothalamus arcuate nucleus regulates many basic processes, including appetite, there may well be a link.

Given that Papua New Guinean anglophones almost invariably refer to Tok Pisin as Pidgin when speaking English, it may be considered something of an affectation to call it Tok Pisin, much like referring to German and French as Deutsch and français in English.