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Given and diversity
Given the geographic diversity of the various sub-regions within the Maritimes, policies to centralize the population and economy were not initially successful, thus Maritime factories closed while those in Ontario and Quebec prospered.
Given the diversity of functions performed by neurons in different parts of the nervous system, there is, as expected, a wide variety in the shape, size, and electrochemical properties of neurons.
Given Cerion's extensive geographic diversity, Gould later lamented that if Christopher Columbus had only cataloged a single Cerion it would have ended the scholarly debate about which island Columbus had first set foot on in America.
Given the diversity of the metalloproteome, virtually all amino acid residues have been shown to bind metal centers.
Given the extensive linguistic, religious and ethnic diversity of the Indian population, nationalism in India in general does not fall within the purview of a solitary variant of nationalism.
Given the range of diversity in soil type, climate and occupations, these cuisines vary significantly from each other and use locally available spices, herbs, vegetables, and fruits.
Given the ethnic diversity of the city, Marbella's newspapers and magazines are published in several European languages, among which are La Tribuna de Marbella ( Spanish ), Sydkusten ( in Swedish ) and Costa del Sol Nachrichten ( in German ).
Given this diversity, it is difficult to generalize widely about the folklore of India as a unit.
Most methods of lipid extraction and isolation from biological samples exploit the high solubility of hydrocarbon chains in organic solvents. Given the diversity in lipid classes, it is not possible to accommodate all classes with a common extraction method.
Given the wide diversity of skull shape among enantiornithines, many different dietary specializations must have been present among the group.
Given the morphological diversity of the earlobes found among men, women, and children, some earlobes are large, some earlobes are pendulous, and some earlobes are large and pendulous, but some are prominent because of the structure and form of the dense, interlacing connective tissue fibers that shape the earlobe anatomy independent of the tail of the helix ( cauda helicis ).
Given the existing linguistic diversity of the PALOPs, Portuguese also serves the purpose of lingua franca allowing communication between fellow citizens of different ethno-linguistic backgrounds.
Given the diversity of CNN processors and the momentum that CNN research has gained, it is plausible that these unique analog CNN development efforts will be fairly common in the near future.

Given and solid
Given that the asteroid parent bodies of meteorites were some of the first solid material to condense from the early solar nebula, cosmochemists are generally, but not exclusively, concerned with the objects contained within the solar system.
Given the severity of punishment for the offense of zina, the Qur ' an requires solid proof beyond the shadow of doubt before convicting an individual, be it a man or a woman, of zina.
Given the right conditions, timbers may survive over long periods of time and a recovered postpipe can simply be of solid wood.
* Given a 3-manifold with torus boundary components, we may glue in a solid torus by a homeomorphism ( resp.
Given the size and weight of the memorial, even in its early design stages, a solid foundation for the structure was critical.

Given and state
Given that the coiled texture is the natural state of some African Americans ' hair, or perceived as being more " African ", this simple style is now often seen as a sign of self-acceptance and an affirmation that the beauty norms of the ( eurocentric ) dominant culture are not absolute.
Given the state at some initial time ( t = 0 ), we can solve it to obtain the state at any subsequent time.
Given this reliance on literary sources, it is doubtful whether Nostradamus used any particular methods for entering a trance state, other than contemplation, meditation and incubation.
Put together: Given an input signal, current state, and stack symbol, the automaton can follow a transition to another state, and optionally manipulate ( push or pop ) the stack.
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 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 India's historic position that the original intent of the line was to separate the two nations by the highest mountains in the world, in these locations India extended its forward posts northward to the ridges, regarding this move as compliant with the original border proposal, although the Simla Convention did not explicitly state this intention.
Given the range of his office-holding both regionally and at court, he did not need to draw ruinously on his own resources to dispense patronage on a grand scale and he was active in the arbitration of local disputes ; even state matters were regularly referred for his personal adjudication.
Given the unstable state of affairs in Massachusetts, Hillsborough instructed General Thomas Gage, Commander-in-Chief, North America, to send " such Force as You shall think necessary to Boston ".
Given that the state itself is the # 1 producer of raspberries in the country, with over 87. 8 % of the crop in 2002, this makes Whatcom County responsible for almost 75 % of the nation's raspberry production.
Given that a head of state sends a letter of credence to a fellow head of state, the converse is true also.
Given that under the External Relations Act the role of representing Ireland in the accreditation of ambassadors belonged to the King of Ireland on the advice of the Irish government, between those years the Irish head of state was unambiguously the King of Ireland.
Given a closed system in an initial state, if work is done on the system in an adiabatic ( i. e. no heat transfer ) way, and given the final state after a process, the amount of work required to be transferred to the system is the same, irrespective of how this work is performed.
Dr. Tennison states: " Given the account of Elliot Paul, and given that Lead Belly witnessed boogie-woogie in 1899 in the Arklatex ; and given the North to South migration of the Thomas family ; and given the Texas & Pacific headquarters in Marshall in the early 1870s ; and given that Harrison County had the largest slave population in the state of Texas ; and given the fact that the best-documented and largest-scale turpentine camps in Texas did not occur until after 1900 in Southeast Texas, it is most probable that boogie-woogie spread from Northeast to Southeast Texas, rather than from Southeast to Northeast Texas, or by having developed diffusely with an even density over all of the Piney Woods of East Texas.
Given a more realistic yield of 36 tonnes / hectare ( 3834 US gal / acre ) the area required is about 152, 000 square kilometers, or roughly equal to that of the state of Georgia or of England and Wales.
for every Borel subset U of R. Given a mixed state S, we introduce the distribution of A under S as follows:
Given human nature, the variability of human desires, and need for scarce resources to fulfill those desires, the state of nature, as Hobbes calls this anarchic condition, must be a war of all against all.
Given the social state that was emerging, Tocqueville believed that a " new political science " would be needed.
Given the observation space, the state space, a sequence of observations, transition matrix of size such that stores the transition probability of transiting from state to state, emission matrix of size such that stores the probability of observing from state, an array of initial probabilities of size such that stores the probability that. We say a path is a sequence of states that generate the observations.

Given and compounds
Given that millions of organic compounds are known, rigorous use of systematic names can be cumbersome.
Given its high charge-to-size ratio nearly all compounds of boron are covalent, barring some complexed anionic and cationic species.
Given two compounds which differ in polarity, the more polar compound has a stronger interaction with the silica and is therefore more capable to dispel the mobile phase from the binding places.

Given and equally
Given that Kent was under Frankish influence, while Bede sees the mission as being " Roman " in origin, the Franks were equally interested in converting their fellow Germans, and in extending their power and influence.
Given that the four trials under consideration can indeed be consistently considered and experimentally realized, the assumptions concerning hidden variables which lead to the indicated mathematical contradiction are therefore collectively unsuitable to represent all experimental results ; namely the assumption of local hidden variables which occur equally in distinct trials.
Given two strings, equally taut and heavy, one twice as long as the other, the longer would vibrate with a pitch one octave lower than the shorter.
Given n equally probable choices, the average reaction time T required to choose among them is approximately

1.509 seconds.