Given that most French supporters of phrenology were liberal, left-wing or socialist, it was an objective of the social elite of France who held a restrained vision of social change that phrenology remain on the fringes.

Given two points ( x < sub > 1 </ sub >, y < sub > 1 </ sub >) and ( x < sub > 2 </ sub >, y < sub > 2 </ sub >), the change in x from one to the other is ( run ), while the change in y is ( rise ).

Given free rein to change the story however he wanted, Aki's version is a violent saga focused primarily on fighting and has Hitomi transforming into a " curvaceous nymph " that is the power source of the mecha Escaflowne.

Given the vast size of the area, such a change has the potential to affect areas well outside of the region.

Given an initial allocation of goods among a set of individuals, a change to a different allocation that makes at least one individual better off without making any other individual worse off is called a Pareto improvement.

Given these harsh constitutional requirements, neither the pan-greens nor pan-blues can unilaterally change Taiwan ’ s political and legal status with respect to the ROC ’ s constitution.

Given the hierarchical relationships of the existing economic system, these other unions perceive the necessity of a radical change in the social order.

Given that the trademarked " Windows " name was in some jeopardy, Microsoft paid to settle the lawsuit they initiated with a $ 20 million payment to Lindows and certain licenses with Lindows agreeing to change their name worldwide to Linspire.

Given the dynamic nature of the seafloor, changes in the location of shoals and bars may cause the locus of beach or cliff erosion to change position along the shore.

Given the ever-accelerating rate of global-scale change, the more critical learning and adaptation become to organization relevance, success, and ultimate survival.

" Given her numerous earlier romantic escapades, including an affair with the married George, Duke of Kent in her youth, this may have been a change in degree rather than basic predisposition.

Given that Sparta had been instrumental in the overthrow of Hippias this change in policy was justified because Sparta had discovered that they had been tricked by the Alcmaeonidae into overthrowing Hippias because the Delphic oracle had been bribed into asking them to do so.

Given the degree of change in Ovimbundu society and the involvement of the Ovimbundu with UNITA, it was difficult to determine their long-range role in Angolan politics.

Given the RDPC's control of the National Assembly, the change was overwhelmingly approved, with 157 votes in favor and five opposed ; the 15 deputies of the SDF chose to boycott the vote in protest.

Given this, the eagles would not have been among the spirits summoned by Yavanna in that paragraph, suggesting that Tolkien didn ’ t change from the view that the eagles are animals, and have no fëar.

Given enough time, natural change in isolated language can obliterate any meaningful linguistic evidence of a known common genetic source for the languages.

Given any finite flat commutative group scheme G over S, its Cartier dual is the group of characters, defined as the functor that takes any S-scheme T to the abelian group of group scheme homomorphisms from the base change G < sub > T </ sub > to G < sub > m, T </ sub > and any map of S-schemes to the canonical map of character groups.

:" Given that the structure of an econometric model consists of optimal decision rules of economic agents, and that optimal decision rules vary systematically with changes in the structure of series relevant to the decision maker, it follows that any change in policy will systematically alter the structure of econometric models.

Given the considerable increase in the Faculty's enrollment ( the 2007-2008 academic saw approximately two hundred students start their program that year ), it is unclear if this change will affect employment.

Given the relatively strong historical record running alongside the archaeological one, post-medieval archaeology is often better positioned to study the effects of known social and political change.

Given the Wyld's inconstant nature, however, concrete locations associated with Flux are few ; more commonly, the energies of Flux pass over an area, causing rapid change and general chaos, then move on.

Given the new situation, Claiborne and Bennett went to England in hopes of convincing Cromwell to change his mind but, to their dismay, no decision was made and, lacking royal authority, the Puritans gave power over to a new governor appointed by Calvert.

Given a system, we say that a physical event is a stimulus for the system if and only if the probability that the system suffers a change or be perturbed ( in its elements or in its processes ) when the event occurs is strictly greater than the prior probability that suffers a change independently of:

: Given a point ( in terms of its coordinates ) and the direction ( azimuth ) and distance from that point to a second point, determine ( the coordinates of ) that second point.

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 their original purpose, military marching bands typically march in a forward direction with ( no variation of ) straight lines.

Given that this is a plane wave, each vector represents the magnitude and direction of the electric field for an entire plane that is perpendicular to the axis.

Given an embedding of a rooted tree in the plane, if one fixes a direction of children ( starting from root, then first child, second child, etc.

About the new markets, Ergen said, " Given the assets we've been accumulating, I don't think it's hard to see we're moving in a different direction from simply pay-TV, which is a market that's becoming increasingly saturated.

Given the similarities with readings from people living on loess soils, the general direction of the local movement according to Price et al., is from the northeast to the southwest.

Given the direction of the current, it is clear that the buoys would be dragged in the opposite direction to that claimed by Mr Jim Brooks.

Given estimates of the image gradients, a search is then carried out to determine if the gradient magnitude assumes a local maximum in the gradient direction.

Given vector fields and lying in the tangent bundle, the affine connection describes how to differentiate the vector field along the direction.

Given an incident direction from the surface to the light source and the surface normal direction the specularly reflected direction ( all unit vectors ) is:

Given Bernal's Marxist and pro-Soviet sympathies it is perhaps remarkable that there has never been any suggestion that he fed any information in that direction.

Given a unit vector u = ( u < sub > x </ sub >, u < sub > y </ sub >, u < sub > z </ sub >), where u < sub > x </ sub >< sup > 2 </ sup > + u < sub > y </ sub >< sup > 2 </ sup > + u < sub > z </ sub >< sup > 2 </ sup > = 1, the matrix for a rotation by an angle of θ about an axis in the direction of u is

Given an arbitrary direction z ( usually determined by an external magnetic field ) the spin z-projection is given by

Given charge of policy direction for the government in the latter role, he was often dubbed the " Minister for Thought " by the Press.

Given that v < sup > 2 </ sup > ignores direction, it is logical to assume that the formula can be extended to the entire sample, replacing m with the entire sample's mass, equal to the molar mass times the number of moles n yielding

Given a differential equation of the form ( for example, when F has zero slope in the x and y direction at F ( x, y ) ):

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 knowledge of the direction of the market we would ( potentially ) make a different investment vehicle decision.