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Given no compression, the foam rises to fill the space allowed.
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Given and no
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 these changes, the classical terms " system ", " expansion " and " peripheral " no longer have the same connotations.
Given the broad scope of environmental law, no fully definitive list of environmental laws is possible.
Given the universality of free fall, there is no observable distinction between inertial motion and motion under the influence of the gravitational force.
Given that Gable and Cukor had worked together before, in Manhattan Melodrama and Gable had no objection to working with him then, and given Selznick's desperation to get Gable for Rhett Butler, if Gable had any objections to Cukor, certainly they would have been expressed before he signed his contract for the film.
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 its long stability and isolation, New Caledonia serves as a unique island refugium — a sort of biological ' ark ' — hosting a unique ecosystem and preserving Gondwanan plant and animal lineages no longer found elsewhere.
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 the repressive nature of the regime of Napoleon III, Bartholdi took no immediate action on the idea except to discuss it with Laboulaye.
Given its exposed spot on the top of Stow Hill, the town is often referred to with the couplet " Stow on the Wold, where the winds blow cold and the cooks can't roast their dinners ", but there is no source for this.
Given the number of homes, it seems likely that no more than fifty people lived in Skara Brae at any given time.
" As Shelly Kagan says, “ Given the parameters of the actual world, there is no question that …( maximally )… promoting the good would require a life of hardship, self-denial, and austerity … a life spent promoting the good would be a severe one indeed .”
Given the union's commitment to international solidarity, its efforts and success in the field come as no surprise.
Given their original purpose, military marching bands typically march in a forward direction with ( no variation of ) straight lines.
Given a day mandated for seasonal rejoicing ( Shemini Atzeret ) with no specific obligations as to the focus of the rejoicing ( such as sukkah, lulav or etrog ), it is not surprising that the celebration of the conclusion of the annual reading was absorbed into the celebration of Shemini Atzeret.
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 a set of integers, FIND-SUBSET-SUM is the problem of finding some nonempty subset of the integers that adds up to zero ( or returning the empty set if there is no such subset ).
Given the need for immediate action was no longer pressing, François once again demanded he be allowed to wait for his artillery supplies.
Given the well-established traditional connections between the fictional Dido and Aeneas and the historical Antony and Cleopatra, it is no surprise that Shakespeare includes numerous allusions to Virgil ’ s epic in his historical tragedy.
: Given that desegregation has not produced the predicted leaps forward in black educational achievement, there is no reason to think that black students cannot learn as well when surrounded by members of their own race as when they are in an integrated environment.
Given that the U. S. is still home to the world's largest economy, there's no reason it shouldn't have the most vibrant equity markets — unless regulation is holding back the creation of new public companies.
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 graceful exit from a marriage and wife he has no interest in, Henry gradually agrees, saying " Good night, my dear sister.
Given that the probability p is known, past outcomes provide no information about future outcomes.
Given and compression
Given that each analogue channel occupies 6 MHz of bandwidth, Cogeco utilizes the latest compression, multiplexing and modulation technologies to be able to transmit up to 13 Standard Definition TV signals or else up to 3 High Definition TV signals on each of these channels.
Given an 8 kHz audio input, the MELPe codec yields the following compression ratios over a 64 kbit / s μ-Law G. 711 datastream, discounting the effects of protocol overhead:
Given and rises
Given the shortage of workers and consequent price rises the Ordinance of Labourers 1349 and the Statute of Labourers 1351 attempted to suppress sources of wage inflation by banning workers organisation, creating offences for any able-bodied person that did not work, and fixing wages at pre-plague levels.
Given and fill
Given that ipê trees typically grow in densities of only one or two trees per acre, large areas of forest must be searched and cut down to create paths to harvest and fill orders for boardwalks and, to a lesser extent, homeowner decks.
Given the limits of treaties or custom as sources of international law, Article 38 ( 1 ) may be looked upon as a directive to the Court to fill any gap in the law and prevent a non liquet by reference to the general principles.
Given this, one day met the strongest men of the population determined from the mountains to fill the huge birds ' nests, but the initiative was not bad, neighbors were able to seal the tunnels, the birds could not leave nests there were dead and never again do more harm to the community.
Given and space
* Given any Banach space X, the continuous linear operators A: X → X form a unitary associative algebra ( using composition of operators as multiplication ); this is a Banach algebra.
* Given any topological space X, the continuous real-or complex-valued functions on X form a real or complex unitary associative algebra ; here the functions are added and multiplied pointwise.
Given any vector space V over a field F, the dual space V * is defined as the set of all linear maps ( linear functionals ).
Given a topological space X, let G < sub > 0 </ sub > be the set X.
Given a finite dimensional real quadratic space with quadratic form, the geometric algebra for this quadratic space is the Clifford algebra Cℓ ( V, Q ).
Given a vector space V over the field R of real numbers, a function is called sublinear if
Given these two assumptions, the coordinates of the same event ( a point in space and time ) described in two inertial reference frames are related by a Galilean transformation.
Given two Lie algebras and, their direct sum is the Lie algebra consisting of the vector space
Given a basis of a vector space, every element of the vector space can be expressed uniquely as a finite linear combination of basis vectors.
Given infinite space, there would, in fact, be an infinite number of Hubble volumes identical to ours in the universe.
Given a set of training examples of the form, a learning algorithm seeks a function, where is the input space and
Given an operator on Hilbert space, consider the orbit of a point under the iterates of.
Given a point x in a topological space, let N < sub > x </ sub > denote the set of all neighbourhoods containing x.
Given a vector space V and a quadratic form g an explicit matrix representation of the Clifford algebra can be defined as follows.
Given the date of his publication and the widespread, permanent distribution of his work, it appears that he should be regarded as the originator of the concept of space sailing by light pressure, although he did not develop the concept further.
Given an arbitrary topological space ( X, τ ) there is a universal way of associating a completely regular space with ( X, τ ).
Given any embedding of a Tychonoff space X in a compact Hausdorff space K the closure of the image of X in K is a compactification of X.
Given a completely regular space X there is usually more than one uniformity on X that is compatible with the topology of X.
Given any vector space V over K we can construct the tensor algebra T ( V ) of V. The tensor algebra is characterized by the fact:
Given the space X = Spec ( R ) with the Zariski topology, the structure sheaf O < sub > X </ sub > is defined on the D < sub > f </ sub > by setting Γ ( D < sub > f </ sub >, O < sub > X </ sub >) = R < sub > f </ sub >, the localization of R at the multiplicative system
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