Given the abundance of mountain streams and lakes, the potential for hydroelectric power is substantial.

Given the abundance of snow for several months in winter, it is a popular area for snowmobiling and four-wheel drive vehicles as well as for downhill and cross-country skiing.

Given the abundance of the stone in the Rockingham County area, the first settlers used it as foundations and chimneys for their houses.

Given the abundance of these different guidance cues it was previously believed that growth cones integrate various information by simply summing the gradient of cues, in different valences, at a given point in time, to making a decision on the direction of growth.

Given the abundance of spacecraft data for other planets in the Solar System, data assimilation is now also applied beyond the Earth to obtain re-analyses of the atmospheric state of extraterrestrial planets.

Given such a sweeping definition, it is apparent that cognition is involved in everything a human being might possibly do ; that every psychological phenomenon is a cognitive phenomenon.

Given an asymmetric subunit on a triangular face of a regular isosahedron, with three subunits per face 60 such subunits can be placed in an equivalent manner.

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 a simple, binary component feed, analytical methods such as the McCabe-Thiele method or the Fenske equation can be used.

Given a subset X of a manifold M and a subset Y of a manifold N, a function f: X → Y is said to be smooth if for all p in X there is a neighborhood of p and a smooth function g: U → N such that the restrictions agree ( note that g is an extension of f ).

Given these connotations, dandyism can be seen as a political protestation against the rise of levelling egalitarian principles, often including nostalgic adherence to feudal or pre-industrial values, such as the ideals of " the perfect gentleman " or " the autonomous aristocrat ", though paradoxically, the dandy required an audience, as Susann Schmid observed in examining the " successfully marketed lives " of Oscar Wilde and Lord Byron, who exemplify the dandy's roles in the public sphere, both as writers and as personae providing sources of gossip and scandal.

Given a left neutral element and for any given then A4 ’ says there exists an such that.

Given good circumstances one might be able to discern the result of some human activity such as the changing of the Netherlands ' coast or the partial drying out of the Aral Sea, but even that would not be easy.

Given both Einstein's equations and suitable equations for the properties of matter, such a solution consists of a specific semi-Riemannian manifold ( usually defined by giving the metric in specific coordinates ), and specific matter fields defined on that manifold.

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 a set S with a partial order ≤, an infinite descending chain is a chain V that is a subset of S upon which ≤ defines a total order such that V has no least element, that is, an element m such that for all elements n in V it holds that m ≤ n.

Given the toleration of Hinduism, such imperial leeway was not shocking.

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 the need for such fine regulation of Ca < sup > 2 +</ sup > signaling, it is perhaps unsurprising that dysregulated mitochondrial Ca < sup > 2 +</ sup > has been implicated in several neurodegenerative diseases, while the catalogue of tumor suppressors includes a few that are enriched at the MAM.

Given its continental origin as a fragment of Zealandia, unlike many of the islands of the Pacific such as the Hawaiian chain, New Caledonia is not of geographically recent volcanic provenance.

* Named entity recognition ( NER ): Given a stream of text, determine which items in the text map to proper names, such as people or places, and what the type of each such name is ( e. g. person, location, organization ).

Given a base for the topology, in order to prove convergence of a net it is necessary and sufficient to prove that there exists some point x, such that ( x < sub > α </ sub >) is eventually in all members of the base containing this putative limit.

Given a field ordering ≤ as in Def 1, the elements such that x ≥ 0 forms a positive cone of F. Conversely, given a positive cone P of F as in Def 2, one can associate a total ordering ≤< sub > P </ sub > by setting x ≤ y to mean y − x ∈ P. This total ordering ≤< sub > P </ sub > satisfies the properties of Def 1.

Given Poseidon's connection with horses as well as the sea, and the landlocked situation of the likely Indo-European homeland, Nobuo Komita has proposed that Poseidon was originally an aristocratic Indo-European horse-god who was then assimilated to Near Eastern aquatic deities when the basis of the Greek livelihood shifted from the land to the sea, or a god of fresh waters who was assigned a secondary role as god of the sea, where he overwhelmed the original Aegean sea deities such as Proteus and Nereus.

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 X such that

Given that the authors were the primary developers of the Unix operating system, it is natural that QED had a strong influence on the classic UNIX text editors ed, sed and their descendants such as ex and sam.

Given that in such a case pits the freedom of an innocent child against the freedom of the evil-doer, it is not clear why God would not intervene for the sake of the child.

The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible.

Given the extraordinary competition and technological craftsmanship required for top search engine placement, the implication of the term " search engine optimization " has deteriorated over the last decade.

Given the size of many NLPs arising from a direct method, it may appear somewhat counter-intuitive that solving the nonlinear optimization problem is easier than solving the boundary-value problem.

The optimization attempts to answer the question: " Given our operating constraints, what is the best mix of products and / or services for us to produce and sell in the period, and at what prices, to generate the highest expected revenue?

Given the high degree of nonlinearity of the output of a fuzzy system, traditional linear optimization tools do have their limitations.

Given this kind of business climate, what competitive marketing problems will your company face in the next 10 yrs.??

Given the above-mentioned problems, regulators face the challenging task of regulating a market that is changing very rapidly, without stifling any type of innovation, and without improperly disadvantaging any competitor.

Given the complexity of NLP problems, it is often difficult to predict performance only on the basis of glass-box evaluation, but this type of evaluation is more informative with respect to error analysis or future developments of a system.

* 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 that many businessmen and bankers were terrified of Bryan's populist rhetoric and support for ending the gold standard, Hanna had few problems in raising record amounts of money.

Given these problems and delays, 51st Troop Carrier Wing was not able to conduct a large-scale glider exercise until mid-June.

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 problems he was inheriting from Royal Governor Thomas Hutchinson, within a week of arriving Gage contacted Trumbull and expressed a " readiness to cooperate " with him " for the good of his Majesty's service.

Given that it would be complicated to perform this test on every patient with sleep-related breathing problems, some suggest that measuring bicarbonate levels in normal ( venous ) blood would be a reasonable screening test.

Given the budget problems, the US Congress requested an independent review by the General Accounting Office ( GAO ).

Given decision problems A and B and an algorithm N which solves instances of B, we can use a many-one reduction from A to B to solve instances of A in:

Given to the sailor straight, this caused additional problems, as some sailors saved the rum rations for several days to drink all at once.

Given this pressure, the collapse of Taligent, and the growing problems with the existing operating system, after System 7. 5 was released in autumn 1994, Apple management decided that the decade-old operating system had run its course.

Given the scale civil engineering problems are rare but it is notable that long established companies have a significantly better track record than more recent start-ups.

Given the problems in service and the better lift from the larger wings, blown flaps have generally disappeared.

Given that the crinoline did eventually have a maximum diameter of up to 180 centimetres ( six feet ), it is easy to imagine difficulties in getting through doors, in and out of carriages, and the general problems of moving in such a large structure.

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.

Given the ubiquitous use of latex products in health care settings, management of latex allergy presents significant health organizational problems.

Given the economic and social problems in the U. S. and the world in the 1920s and 1930s, many younger people, artists and intellectuals, had sympathy for the Communist cause and hoped that it could lead to better societies.

Given that the then government of the day, had refused to allow BR to purchase more DEMUs in the mid 1960s, this led to problems of trying to run existing services with a significantly reduced level of motive power available following the total withdrawal of steam in 1967.

Given these problems, Percy resigned his command of the British Italian Legion in October 1855 in a state of total exasperation.

Given that the Kuzyk limit is based directly on quantum mechanics, a breaching of the limit would mean that there are problems with quantum theory.

Given the many problems with the record, the dating of Lóegaire's floruit is imprecise, estimates placing it in the second half of the fifth century, circa 450 to perhaps the late 480s.

Given the popularity of the show and the media coverage it brought to the highlighted game, teams and fans of the West Coast teams felt that the show was only magnifying the perceived problems with excess media focus on East, South and Midwest games ; ESPN attributed its lack of West Coast games to the need for a very early start time ( 07: 00 AM PST ) and an alleged lack of high quality matchups.