: 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 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 the change in direction apparent in his poetry, scholars assume only his death a short time after publication prevented him from further exploration ; the collection may in fact have been published posthumously.

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.

Given current values

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 current laser energies this was impractical, but the concept was studied throughout the 1960s and later.

Given the current value of the port of Toledo to Ohio, it can be reasonably suggested that both sides benefitted from the conflict.

Given current trends in the UMC — with overseas churches growing, especially in Africa, and U. S. churches collectively losing about 1, 000 members a week — it has been estimated that Africans will make up at least 30 % of the delegates at the 2012 General Conference, and it is also possible that 40 % of the delegates will be from outside the U. S. One Congolese bishop has estimated that typical Sunday attendance of the UMC is higher in his country than in the entire United States.

Given the current size of the Web, even large search engines cover only a portion of the publicly available part.

Given that the right to be politically active has granted them the opportunity to expand their knowledge and influence in current affairs, they are now considered one of the main components in the country's decision-making in both politics and economy.

Given the closeness shared by the countries bordering the Mediterranean basin, and very topical interest to the consolidation of the European Union's enlargement policy, he also intended to establish trade relations with the Republic of Malta aimed at encouraging mutual knowledge and awareness in a profitable way their local communities on European issues of common interest and current.

Given the many available models, it appears that the material removal mechanism in EDM is not yet well understood and that further investigation is necessary to clarify it, especially considering the lack of experimental scientific evidence to build and validate the current EDM models.

Given the current estimated mass of the black hole, the progenitor star must have lost over 30 solar masses of material.

Given current values

Given the current employment opportunities, it is not likely that the number of specialists in SA Indian languages will increase fast enough to document most of the surviving SA languages before they go out of use, as most of them unavoidably will.

Given the composition of the current 41st Canadian Parliament, once the Official Opposition, the New Democratic Party, is finished, the next question comes from the only other officially-recognized opposition party, the Liberal Party.

Given the age of the current Justices, this allowed a Supreme Court size of up to 15 Justices.

Given the current human population and birth-rate, this equals five per day or 1800 per year.

Given a sufficiently high and well known amount of electric current and voltage, the timing of the bridgewire vaporization is both extremely short ( a few microseconds ) and extremely precise and predictable ( standard deviation of time to detonate as low as a few tens of nanoseconds ).

Given the current climate Palmair has been forced to cease its entire operations starting from Summer 2011.

Given criticisms of the current DSM classification, a new disorder combining the characteristics of HSDD and sexual arousal disorder has been proposed for the next version of the DSM ( the DSM-V, due to be published in 2013 ).

Given the current economic climate, this is likely to remain in this state for at least another decade.

Given the current recession, there have been signs the project may be delayed indefinitely.

Given our current estimate of the parameters θ < sup >( t )</ sup >, the conditional distribution of the Z < sub > i </ sub > is determined by Bayes theorem to be the proportional height of the normal density weighted by τ:

Given the minister's " current crusade on financial literacy ," Fullard believed a suitable charitable cause would be a scholarship for business education.

Given an unchangeable Z < sub > L </ sub >, one can maximize both the voltage and current ( and therefore, the power ) at the load by minimizing Z < sub > S </ sub >.

: Given n men and n women, where each person has ranked all members of the opposite sex with a unique number between 1 and n in order of preference, marry the men and women together such that there are no two people of opposite sex who would both rather have each other than their current partners.