valid

For if the small group notion involves the implicit claim that the phenomena of sociological investigations are of atomic or subatomic proportions, the philosopher needs to know the extent to which such entities are valid.

If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.

If the direct-sum decomposition ( A ) is valid, how can we get hold of the projections Af associated with the decomposition??

To the extent that our sampling of the orientations of American college students in the years 1950 and 1952 may be representative of our culture -- and still valid in 1959 -- we are disposed to question the summary characterization of the current generation as silent, beat, apathetic, or as a mass of other-directed conformists who are guided solely by social radar without benefit of inner gyroscopes.

This grouping is no longer regarded as biologically valid and its use is discouraged.

* when a party achieves 50 %+ 1 of first-preference valid votes in the election but does not secure a Parliamentary majority it is awarded enough seats ( filled by the best runner-up candidates ) to make a Parliamentary majority

`` Speed in painting a picture is valid only when it imparts spontaneity and crispness, but unless the artist has lots of experience so that he can control rapid execution, he would do well to take these first sketches and soberly reorder their design to achieve a unified composition.

Each viewpoint is valid if it is organically related to the other.

The taxonomic implication is that Owen ’ s original Diprotodon optatum is the only valid species.

The continuity assumption becomes less valid as a gas becomes more rarefied.

The argument is not only sound on Tuesdays ( when John goes to work ), but valid on every day of the week.

There is only one sense in which it is valid to talk about Hardy's development: he did develop toward a more consistent and more effective control of that tone which we recognize as uniquely his.

The Catholic Church does recognise as valid ( though illicit ) ordinations done by breakaway Catholic, Old Catholic or Oriental bishops, and groups descended from them ; it also regards as both valid and licit those ordinations done by bishops of the Eastern churches, so long as those receiving the ordination conform to other canonical requirements ( for example, is an adult male ) and an orthodox rite of episcopal ordination, expressing the proper functions and sacramental status of a bishop, is used ; this has given rise to the phenomenon of episcopi vagantes ( for example, clergy of the Independent Catholic groups which claim apostolic succession, though this claim is rejected by both Orthodoxy and Catholicism ).

It calls the conclusion admitted valid by `` historians and military strategists alike '' a `` perverted conclusion.

While it would be rash to assert positively that no existing gems were the work of Gnostics, there is no valid reason for attributing any or all of them to such an origin.

You will be entitled to all the advantages of a new car owner, which includes the factory guarantee and the services valid at authorized dealers throughout Europe.

Catherine testified that her marriage to Arthur was never consummated, as also according to canon law, a marriage was not valid until consummated.

-- On the basis of a differentiability assumption in function space, it is possible to prove that, for materials having the property that the stress is given by a functional of the history of the deformation gradients, the classical theory of infinitesimal viscoelasticity is valid when the deformation has been infinitesimal for all times in the past.

They decided to change the rules for javelin construction because of the increasingly frequent flat landings and the resulting discussions and protests when these attempts were declared valid or invalid by competition judges.

Bias is an inclination to present or hold a partial perspective at the expense of ( possibly equally valid ) alternatives.

It is unlikely that the term " democracy " was coined by its detractors who rejected the possibility of a valid " demarchy ", as the word " demarchy " already existed and had the meaning of mayor or municipal.

' Compositae ', an older but still valid name, means composite and refers to the characteristic inflorescence, a special type of pseudanthium found in only a few other angiosperm families.

The National Rail ( NR ) logo was introduced by ATOC in 1999, and was used on the Great Britain public timetable for the first time in the edition valid from 26 September in that year.

Issues of concern in the philosophy of consciousness include whether the concept is fundamentally valid ; whether consciousness can ever be explained mechanistically ; whether non-human consciousness exists and if so how it can be recognized ; how consciousness relates to language ; and whether it may ever be possible for computers or robots to be conscious.

The remainder of the scheme appears to be valid: