Given the notion of a lexeme, it is possible to distinguish two kinds of morphological rules.

Given " mappings " of input variables into membership functions and truth values, the microcontroller then makes decisions for what action to take, based on a set of " rules ", each of the form:

Given the rules of any two-person game with a finite number of positions, one can always trivially construct a minimax algorithm that would exhaustively traverse the game tree.

When the measure was sent in May to the parliament they said " Given the damage it produces on those rules which allow the life in community, ensure the dignity of the person and equality between sexes, this practice, even if it is voluntary, cannot be tolerated in any public place ".

Given a database or a set of rules, the computer tries to find a solution matching all the desired properties.

Given that Ireland had escaped absorption into the Roman empire, this had time to develop into a highly sophisticated literature with well-documented formal rules and highly organised Bardic schools.

:" 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 above rules, mirrors, including half-silvered mirrors, have the following properties:

Given a method for establishing the satisfaction ( or not ) of every atomic sentence of the form A (... x < sub > k </ sub >...), the usual rules for truth-functional connectives and quantifiers yield a definition for the satisfaction condition of all sentences of the object language.

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 ).

Given the new revenues which many tribes are realizing from gambling casinos and other economic development, or from settlement of 19th-century land claims, some have established more restrictive rules to limit membership.

) Given NCAA rules barring paid professional athletes from playing college sports, Ausmus could not play for the Dartmouth Big Green, and instead served as a volunteer coach and bullpen catcher.

Given the task of forming the personalities of the Crash Nitro Kart cast through the full-motion videos, the Red Eye Studio artists set certain rules for how each character would carry itself by default.

Given a logical clock following these rules, the following relation is true: if then < math > C ( a ) < C ( b )</ math >, where means happened-before.

Given the tendency of self-interest to overpower the pleasure felt through sympathy, the eventual accumulation of wealth necessitated the development of some form of government, initially somewhat monarchical, to ensure that the rules of justice were followed.

Given that the characterisation system and the choice of law rules were operating in an inflexible way, the solution has been to allow the growth of judicial discretion within both parts of the system.

Given a binary relation R between fixed strings in the alphabet, called rewrite rules, denoted by, an SRS extends the rewriting relation to all strings in which the left-and right-hand side of the rules appear as substrings, that is, where s, t, u, and v are strings.

Given the absolute magnitude, for objects within our galaxy you can also calculate the apparent magnitude from any distance ( in parsecs ):

Given the absolute magnitude, you can also compute apparent magnitude from its parallax:

Given any element x of X, there is a function f < sup > x </ sup >, or f ( x ,·), from Y to Z, given by f < sup > x </ sup >( y ) := f ( x, y ).

Given BASIC's straightforward nature, it was a simple matter to type in the code from the magazine and execute the program.

Love and Erlandson continued to pursue with the band, and released the single " Be A Man "— an outtake from the Celebrity Skin sessions — for the soundtrack of the Oliver Stone film Any Given Sunday ( 1999 ).

Given r, the rate of rotation is easy to infer from the constant angular momentum L, so a 2D solution can be easily reconstructed from a 1D solution of this equation.

Given two manifolds M and N, a bijective map f from M to N is called a diffeomorphism if both

Given the similarities between the rep proteins of the alphasatellites and the nanoviruses, it is likely that the alphasatellites evolved from the nanoviruses.

) Given a smooth Φ < sup > t </ sup >, an autonomous vector field can be derived from it.

Given that the vast majority of all emeralds are treated as described above, and the fact that two stones that appear visually similar may actually be quite far apart in treatment level and therefore in value, a consumer considering a purchase of an expensive emerald is well advised to insist upon a treatment report from a reputable gemological laboratory.

Given that genes are universal to living organisms, genetics can be applied to the study of all living systems, from viruses and bacteria, through plants and domestic animals, to humans ( as in medical genetics ).

Given two groups (< var > G </ var >, *) and (< var > H </ var >, ), a group isomorphism from (< var > G </ var >, *) to (< var > H </ var >, ) is a bijective group homomorphism from < var > G </ var > to < var > H </ var >.

Given a groupoid in the category-theoretic sense, let G be the disjoint union of all of the sets G ( x, y ) ( i. e. the sets of morphisms from x to y ).

Given a groupoid G, the vertex groups or isotropy groups or object groups in G are the subsets of the form G ( x, x ), where x is any object of G. It follows easily from the axioms above that these are indeed groups, as every pair of elements is composable and inverses are in the same vertex group.

: 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.

On poverty, Hoover said that " Given the chance to go forward with the policies of the last eight years, we shall soon with the help of God, be in sight of the day when poverty will be banished from this nation ", and promised, " We in America today are nearer to the final triumph over poverty than ever before in the history of any land ," but within months, the Stock Market Crash of 1929 occurred, and the world's economy spiraled downward into the Great Depression.

Given the Greek fleet's unpreparedness resulting from the premature outbreak of the war, such an early Ottoman attack might well have been able to achieve a crucial victory.

Given MLB's refusal to consider expansion, Kirksey, Cullinan, Smith, and Hofheinz joined forces with would-be owners from other cities and announced the formation of a new league to compete with the established National and American Leagues.

Given the opportunity to get away from the Sultan and visit new lands, he readily accepted.

Given earlier debates by Christian authors about the existence of Jesus, e. g. in Justin Martyr's 2nd century Dialogue with Trypho, it would have been expected that the passage from Josephus would have been used as a component of the arguments.

Given significant distance from the magnetic poles, one can figure which hand is which using a magnetic compass and the sun.

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 a year to complete the work, Gibson undertook the actual writing out of " blind animal terror " at the obligation to write an entire novel – a feat which he felt he was " four or five years away from ".

While tests have been done to support this with fixed pieces of flat metal, the result is inconclusive with respect to the curved armour of the period. Given the following actions of the archers, it seems likely Froissart was correct.

Given the cosmological principle, Hubble's law suggested that the universe was expanding.

Given the large number of U. S. military personnel and their dependents residing in Europe, it was expected that over 7 % of donors would be deferred due to the policy.

Given more time to prepare for trial, Kidd likely would have been able to find the deposition Palmer gave when he was captured in Rhode Island two years earlier.

The question concerned the educational value of pre-Christian classical thought: " Given that the body of knowledge of the pre-Christian Romans was heathen in origin, was it safe to teach it to Christian children?

Given away at theatrical showings was a comic herald that told a simplified version of the film.

" Given that there's a gulf of 100, 000, 000 light years, he checks his diary to find out what he had been doing that day, and finds out that it was something he wished to hide.

Given the toleration of Hinduism, such imperial leeway was not shocking.

Given its limitations, however, NAALC has not produced ( and in fact was not intended to achieve ) convergence in employment, productivity and salary trend in North America.

Given that Fine Gael normally received 25 % of the election result, and were reduced to third place this was an achievement in itself.

Given high fixed costs, the new price was below average total cost, resulting in a loss.

Given the ideals of Juche, North Korea chose to default on its loans and by the late 1980s its industrial output was declining.

Given these issues, Microsoft started to work in parallel on a version of Windows which was more future-oriented and more portable.

Given the task of overhauling the Cardinals by owner Gussie Busch, Herzog was looking to trade Templeton when he was approached by Padres General Manager Jack McKeon at the 1981 baseball winter meetings.

Given Poseidon's connection with horses as well as the sea, and the landlocked situation of the likely Indo-European homeland, Nobuo Komita has proposed that Poseidon was originally an aristocratic Indo-European horse-god who was then assimilated to Near Eastern aquatic deities when the basis of the Greek livelihood shifted from the land to the sea, or a god of fresh waters who was assigned a secondary role as god of the sea, where he overwhelmed the original Aegean sea deities such as Proteus and Nereus.

Given this and other evidence, many scholars agree that Peter was martyred in Rome under Nero, although some scholars argue that he may have been martyred in Palestine.

Without doubt, the single most significant paper concerning the distribution of prime numbers was Riemann's 1859 memoir On the Number of Primes Less Than a Given Magnitude, the only paper he ever wrote on the subject.

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 that assumption, the evidence for the one-seed theory is the fact that a woman can conceive without coming to orgasm ( though this was still a matter of dispute in the ancient world and the Middle Ages ).