Clearly then, M is directly indecomposable if and only if 0 and 1 are the only idempotents in E.

Clearly a criminal trial is a criminal proceeding since if convicted the defendant could be fined or imprisoned.

Tulane University Sports Law Program Director Gabe Feldman ( who attended the hearing in court ) said, " Clearly the judge, by her questions, indicated she thinks Goodell overstepped his authority, and this case was always going to be about if he executed his power fairly ...

Clearly, if both adrenals are removed, replacement with hydrocortisone or prednisolone is imperative.

Clearly, a complex is bounded above and below if and only if the complex is bounded.

Clearly, if a spark plug were to protrude into the Wankel's combustion chamber it would foul the rotating tip ; and if the plug were recessed to avoid this, the sunken spark might lead to poor combustion.

Clearly, if these two spheres do not intersect ( and that is very easy to test ), then neither do and.

Clearly if one does not have enough money to pay the price then they cannot buy any of that item.

Clearly, the British were penetrated by Philby, but it has never been determined, in any public forum, if there were other serious penetrations.

Clearly if we poured the entire GDP of the planet into protecting against this, we could minimise the risk, but might there be better things to spend it on?

Similar definitions apply to a Lie group G, a maximal commutative Lie subgroup H and any representation V of G. Clearly, if λ is a weight of the representation V of G, it is also a weight of V as a representation of the Lie algebra g of G.

Clearly, if 1 January is a Sunday, all the days marked by A will also be Sundays ; If 1 January is a Saturday, Sunday will fall on 2 January which is a B, and all the other days marked B will be Sundays ; if 1 January is a Monday, then Sunday will not come until 7 January, a G, and all the days marked G will be Sundays.

Clearly, however, only good people can be friends to each other because of the other person himself ; for bad people find no enjoyment in one another if they get no benefit.

Clearly, the two statements contradict, but nevertheless, the " genius " has an urge to try to figure out which of the two statements ( if any ) is true.

Clearly, if then the poles are not located at the origin of the z-plane.

Clearly, this automaton recognizes L. Thus, a language L is recognizable if and only if the set is finite.

Clearly, each edge belongs to at most two such boundaries ; if an edge is a bridge of, it appears twice on a single face boundary and therefore has a zero coordinate in the corresponding vector.

Clearly if the lower end of the figures are both correct, the test is useless!

Trescothick stated that he would see how he progresses before committing to the international scene: " Of course I'd love to play for England again .... Clearly, if I want to continue my career I have to undertake another tour.

Clearly the most provocative plays are all imported originals -- A Taste Of Honey, by Britain's young ( 19 when she wrote it ) Shelagh Delaney ; ;

Clearly there is always at least one such string for any n, as otherwise all possible strings ( infinitely many ) could be generated by the ( finitely many ) programs with lower complexity, so GenerateComplexString must always return.

Clearly, this rule flies in the face of the first-user homesteading rule, arbitrarily and groundlessly overriding the very homesteading rule that is at the foundation of all property rights.

Clearly, no ethical rules apply, as they are all based on higher powers or on justification.

Clearly, this method would require a significant human and industrial presence in space to be at all feasible.

Consider the theory obtained by adding a new constant symbol ε to the language and adjoining to Σ the axiom ε > 0 and the axioms ε < 1 / n for all positive integers n. Clearly, the standard real numbers R are a model for every finite subset of these axioms, because the real numbers satisfy everything in Σ and, by suitable choice of ε, can be made to satisfy any finite subset of the axioms about ε.

Clearly, all Banach spaces and Fréchet spaces are F-spaces.

Clearly it can be no greater than the probability that the first k tosses are all T ; this probability is q < sup > k </ sup >.

Clearly the heart, vessels and lungs are all actively involved in maintaining healthy cells and organs, and all influence hemodynamics.

Clearly, not all coins that circulated contained precious metals, as the value of these coins was too great to be convenient for everyday purchases.

Clearly not all of these contracts could be physically settled, since there was not enough outstanding Lehman Brothers debt to fulfill all of the contracts, demonstrating the necessity for cash settled CDS trades.

# Clearly enunciated or implied pulse at all levels, with the fastest levels rarely being extreme.

Clearly inspired by its older namesake in Bath, it differs from the Bath crescent in that it is not a true crescent at all but two quadrant terraces each terminated by a circular bow in the Regency style which rises as a tower, a feature which would not have been found in the earlier classically inspired architecture of the 18th century which the design of the crescent seeks to emulate.

Ripley has been selected as the eighth-greatest hero in American cinema history by the American Film Institute, as fifth-coolest hero in pop culture by Entertainment Weekly, the ninth-greatest movie character ever by Empire ( the highest-placing female of the list ), and the eighth-best movie character of all time by Premiere, In 2011, John Scalzi called her " Clearly the Best Female Character in Scifi Film ".

In one performance of this illusion, she became the first British celebrity to participate in the Clearly Impossible version of the illusion, where she was divided in two inside a clear-sided box that allowed her entire body to be seen at all times during the sawing-through and separation.

Clearly, Manningham enjoyed the Malvolio story most of all, and noted the play's similarity with Shakespeare's earlier play, as well as its relationship with one of its sources, the Inganni plays.

Clearly the union of all the sets in contain all elements in.

Clearly, there are all kinds of practical difficulties with such a calculation, since not all new infections are reported, and it is often difficult to know how many susceptibles were exposed.

Article 15 states “ Sufficient time and adequate counselling should be given to the child's own parents, the prospective adoptive parents and, as appropriate, the child in order to reach a decision on the child's future ...” Clearly, the UN Declaration is against the idea of international adoption as a whole, and is most certainly against rushed international adoption.

Erasmus states, “ Clearly these agreements have been broken.

Clearly Maryland no longer had a claim to the Wedge, as it is east of the Mason – Dixon Line and as both Pennsylvania and Delaware were owned by the Penns, there was no particular incentive to determine which possession it was a part of, at least until they became separate states.

Clearly, Cortés was skilled at exploiting the divisions within and between the Aztec states while hiding those of his own troops.

Clearly then numbers either in parliament or in the government have not served the people of the two states.