Given decree powers, he was able to abate the economic crisis the country was going through, by devaluing the currency and resorting to expansive budgetary policies.

Given the constraints

Given testable information, the maximum entropy procedure consists of seeking the probability distribution which maximizes information entropy, subject to the constraints of the information.

Given a partial solution to the puzzle, they use dynamic programming within each row or column to determine whether the constraints of that row or column force any of its squares to be white or black, and whether any two squares in the same row or column can be connected by an implication relation.

Given the mathematical constraints of these simple rules, the number of lines that change within pair partners will always be even ( either 2, 4, or 6 ).

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 a real matrix M and vector q, the linear complementarity problem seeks vectors z and w which satisfy the following constraints:

Given the task constraints and relationships, a " critical path ", schedule and budget could be calculated dynamically using heuristic methods.

Given the high dimensionality of this function, practical methods place constraints on the parameters in order to reduce this number ( typically to 2 to 4 ).

Lessig traces the simultaneous legal environment that permitted its genious: Given the challenge of deciding whether photographers would need to get per mission before taking aim, the legal system decided " in favor of the pirates .....

Given the limits set by the Federal Constitutional Court on the permitted scope of government actions in 2002, the European Court of Human Rights found that Germany was not in violation of Article 9 ( freedom of thought, conscience and religion ), Article 10 ( freedom of expression ) and Article 14 ( prohibition of discrimination ) of the European Convention on Human Rights, but found that it had violated Article 6 § 1 ( right to a fair hearing within a reasonable time ).

Given its reading demographic, the content was somewhat racier than was permitted in mainstream civilian publications.

Given The Way's high-intensity nature, in the 1970s, there were some instances of family members, who weren't a part of The Way, hiring deprogrammers to illegally abduct their loved one because they believed exposure to these doctrines or the followers was harmful.

Euclid poses the problem: " Given two numbers not prime to one another, to find their greatest common measure ".

Given a trigonometric series f ( x ) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S ' as its set of zeros, where S ' is the set of limit points of S. If p ( 1 ) is the set of limit points of S, then he could construct a trigonometric series whose zeros are p ( 1 ).

Given an equilateral triangle, the counterclockwise rotation by 120 ° around the center of the triangle " acts " on the set of vertices of the triangle by mapping every vertex to another one.

Given two secondary stations, the time difference ( TD ) between the primary and first secondary identifies one curve, and the time difference between the primary and second secondary identifies another curve, the intersections of which will determine a geographic point in relation to the position of the three stations.

Given the immense expanse of the entire Universe, it has been argued that there is a higher probability that there exists ( or has existed ) another Earth-like planet that has yielded life ( geogenesis ) than not.

Given the difficulty of this position, it is not uncommon for the best player on the team to play Number Two so long as another strong player is available to play Three.

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 use of similar symbols on the Roman standard, this depiction also conveyed another victory, namely that of the Christian faith: the Roman soldiers who had once arrested Jesus and marched him to Calvary now walked under the banner of a resurrected Christ.

Given any energy eigenstate, we can act on it with the lowering operator, a, to produce another eigenstate with-less energy.

Given a set of points in the Euclidean plane, selecting any one of them to be called 0 and another to be called 1, together with an arbitrary choice of orientation allows us to consider the points as a set of complex numbers.

Given an eclipse, then there is likely to be another eclipse after every period P. This remains true for a limited time, because the relation is only approximate.

: Little Hope Given Brain-Damaged Man ( A brain-damaged man is unlikely to recover, or a brain-damaged man is causing another situation to have little hope of resolution, or someone gave a brain-damaged man to a small girl named Hope.

The Solovay – Strassen primality test uses another equality: Given an odd number n, choose some integer a < n, if

Given an impromptu bit part, Florence was invited back to Biograph ’ s studios to participate in another film later that year.

Given a relation R, a set of attributes X in R is said to functionally determine another attribute Y, also in R, ( written X → Y ) if, and only if, each X value is associated with precisely one Y value.

Given its native distribution the species is also a potential natural vagrant to Western Europe and there have been records in areas such as Cornwall and the Isles of Scilly which some observers consider may relate to wild birds ; however, given the Wood Duck's popularity in captivity it would be extremely difficult to prove their provenance one way or another.

Although the German Command expected another Allied landing in the Mediterranean, the advancing Red Army and the Allied Landing at the Normandy required all German resources, so little was done to improve the condition of Army Group G. Given the advancing Allied forces in northern France, the German Command deemed a realistic defense in the South impossible.

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 some statement P, it appears reasonable to ask for a justification for P. If that justification takes the form of another statement, P ', one can again reasonably ask for a justification for P ', and so forth.

: Given a random galaxy in a location, the correlation function describes the probability that another galaxy will be found within a given distance.

Given that the darker-skinned Calormenes differed in appearance from northern peoples ( like Telmarines and Archenlanders ), it is possible that they are descended from another group from the world of men ; however, this is not stated in the books.

Given an arbitrary ( n ; m ; p ) machine S, such that every two of its states are distinguishable from one another, then there exists an experiment of length

Given the use of similar symbols on the Roman standard, this depiction also conveyed another victory, namely that of the Christian faith: the Roman soldiers who had once arrested Jesus and marched him to Calvary now walked under the banner of a resurrected Christ.

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

Given this lack of semantic transparency, researchers, outreach workers, critical theorists and LGBT activists have proposed and use terms such as institutionalized homophobia, state (- sponsored ) homophobia, sexual prejudice, anti-gay bigotry, straight privilege, The Straight Mind ( a collection of essays by French writer Monique Wittig ), heterosexual bias, compulsory heterosexuality or the much lesser known terms heterocentrism, homonegativity, and from gender theory and queer theory, heteronormativity.

Given the close ties between the world of Japanese console RPGs and animation, the magazine also heavily featured information about manga and anime by noted UK based writer, Helen McCarthy.

Given only the artwork and outline to work with during production, writer Yoshinori Kitase felt that one early scene of the character approaching a castle was too " boring to make completely normal ", and decided to ad-lib a scene with one of his accompanying soldiers dusting off his boots in the middle of a desert.

Given the large revenue generated by merchandise featuring Cusick's Dalek design, some feel that he should have been paid a royalty ( as was script writer Terry Nation, who created the concept of the Daleks but not their design or appearance ).

Given the cancellation of Shada, he was thus the final writer of the Graham Williams era on the program.