Clearly, the set of even numbers is infinitely large ; there is no requirement that a set be finite.

Clearly, there are some individuals, including non-humans such as a racehorse, which have economic value unique to their individual body and being that cannot be captured or defined as an " intellectual " asset nor as a set of " social " relationships ( because horses do not socialize in the sense humans do ).

Clearly, Tolkien knew when firearms were invented, but he deliberately set out to write a lighthearted fantasy tale disregarding any consideration of historical accuracy.

" Clearly ... walking off the movie set was a statement of principle.

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

the integer lattice and a set of lines Clearly, and.

Clearly grasping at straws, Sudre then offered the military a set of musical cannons, but they declined the suggestion.

Clearly Bob will not go on his own: he would not set off alone, but if he did then Alice would follow, and Alice's personal liberty means the joint preference must have both to go > Bob to go.

In decision theory, a capacity is defined as a function, from S, the set of subsets of some set, into, such that is set-wise monotone and is normalized ( i. e. Clearly this is a generalization of a probability measure, where the probability axiom of countability is weakened.

Clearly, we cannot define ' antecedent ' without using the term ' consequent ', nor conversely.

Clearly, they cannot execute at the same time, and the second instruction can't be executed before the first.

Clearly, Betty's creation of hooks cannot be attributed to the shaping or reinforcement of randomly generated behavior.

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

Clearly, an entire segment of the population ( males ) cannot become pregnant in the first place, thus it is moot to argue or take a side regarding the right of abortion ( or right to give birth ) for men.

Clearly an infinitely dimensional function space cannot be represented on a discrete spectral element mesh.

Clearly, one cannot ask this particular question of Grey Council surreptitiously.

Clearly these residuals cannot be independent of each other, but they must be constrained by some kind of relationship.

Clearly, cannot exceed.

Clearly the phenomenon cannot be a property of the exact solution, since this is the same for both problems, and must be a property of the differential system itself.

Clearly, any line, l, of any bundle having one of these points of tangency, T, as vertex will be transformed into the entire pencil having the image of the second intersection of L and Q as vertex and lying in the plane determined by the image point and the generator of Af which is tangent to **zg at T.

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.

MSP Alex Johnstone wrote " Clearly, the Declaration of Arbroath is a literary work of outstanding universal significance by any stretch of the imagination " In 2008, the Campaign Group Chairman, Councillor Jim Millar launched a public petition to reinforce the bid explaining " We're simply asking people to, local people especially, to sign up to the campaign to have the Declaration of Arbroath and Arbroath Abbey recognised by the United Nations.

Clearly, then, any two Englishmen must have at least this one ancestor in common, and thus any individual could claim kinship with the king.

Clearly, lethality, level of activity, and hippocampal plasticity are rescued, but are the animals free of any other RTT signs such as social behavior deficits, anxiety, and cognitive impairments?

Clearly, Elpenor is embarrassed to have died young without any honor, and seeks to hide his true fate from everyone else.

Clearly if all states can be reached from the origin then any state can be reached from another state ( merely a shift in coordinates ).

Clearly the sum of the angles of any side of the tetrahedron must be a half-circle.

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 this procedure is reversible – given any point on the surface of the sphere that is not the north pole, we can draw a straight line connecting that point to the north pole and intersecting the flat plane in exactly one point.

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

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, 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 he would have little hope of reelection to the U. S. Senate or any future in Delaware politics.

Clearly, any of the general approaches for planar point location may be used.

Clearly the largest application for any human memory studies of learning effects is for education and finding better ways to relate information to students at every grade level.

The court wrote, " It is well settled that the landlord of a private apartment or dwelling house may, without violating any provision of the Federal or State Constitutions, select tenants of its own choice because of race, color, creed or religion ... Clearly, housing accommodation is not a recognized civil right.

Clearly we can assign meaning to any such power series of quotients ( orbits ) with respect to permutation groups, where we restrict the groups of degree n to the conjugacy classes of the symmetric group, which form a unique factorization domain.

Clearly, any non-zero real number can be normalized.

Clearly, these studies and the dozens of others like them serve to demonstrate that labeling can have a very real and very large effect on the mentally ill. None of these studies, however, proved that labeling is the sole cause of any symptoms of mental illness.

Dan authored the children's book, The Little Monkey Chronicles, ISBN 0-9707273-0-5, a collection of short stories illustrated by Chris Thompson and published by Clearly the Underdog Publishing.

Clearly, two damp days with the Bobbsey Twins had done him no good.

Clearly, an evaluation of a user's abilities and requirements is necessary to match a user with the most appropriate AAC method, input approach, and vocabulary.

Clearly, Lyon & Healy was making plucked string instruments in the 1880s, with Washburn ( guitars, mandolins, banjos, and zithers ) being their premier line.

Clearly, replacing with either or gives a program with different meaning, and so the expression is not referentially transparent.

) Clearly, the rate of spontaneous emission in free space increases with.

Clearly, the volume of superconducting coils increases with the stored energy.

Clearly one of the main issues with nuclear propulsion would be safety, both during a launch for the passengers, but also in case of a failure during launch.

Clearly though, at some point after capturing Athens, Xerxes held a council of war with the Persian fleet ; Herodotus says this occurred at Phalerum.

Newton-John's pop career cooled with the release of her next album, Clearly Love.

Clearly, Detour was a higher priority to PRC, and the release was well promoted in theaters with a full array of color print support, including a six sheet, standees, hand drawn portraits of the actors, and a jukebox tie-in record with Bing Crosby singing " I Can't Believe That You're in Love with Me ".

Clearly, Athanaric was by then no authority to negotiate with ; he was welcomed by Theodosius in Constantinople only because the Emperor wished to make a lasting impression on the Tervingi, who were still fighting the Romans.

Clearly, for simulators with side-by side crew, a system that gave correct cross-cockpit viewing was required.

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

Clearly the intense coverage by the NBC's television system has brought a closer look to the personalities, backgrounds, and history of both men and women in sports and opens a new source for comparison with pre-Title IX sports activity by women.

Clearly, in early Vedic religion, both the Asura and the Devas were deities who constantly competed with each other, some bearing both designations at the same time.

Clearly linking Objectivism's principles with Imagism's, Louis Zukofsky insisted, in his introduction to the 1931 Objectivist issue of Poetry, on writing " which is the detail, not mirage, of seeing, of thinking with the things as they exist, and of directing them along a line of melody.

Clearly, the inexperienced youth could not cope with this enormous responsibility, so the emperor nominated Franz von Lauer as John's second-in-command and promoted him to Feldzeugmeister.

He continued to sell well in Jamaica and, to a lesser extent, the UK, returning to the mainstream pop charts in the US and elsewhere (# 1 in France ) with a version of Johnny Nash's " I Can See Clearly Now " on the Cool Runnings film soundtrack in 1993.

Clearly the ideal scientific option would be to send a spacecraft to the sun and grab some solar plasma ; however, obtaining solar matter is not that straightforward because of the intense heat ( millions of degrees ) of the Sun ’ s superheated gases as well as the dynamic electromagnetic environment of the corona, whose flares regularly interfere with the electronics of distant spacecraft.