Faulkner's is not the mind of the apologist which Mr. O'Donnell implies that it is.

This, no doubt, is part of what Gilbert Seldes implies when he says of the arts, `` They give form and meaning to life which might otherwise seem shapeless and without sense ''.

`` Tact '', by its very derivation, implies that its possessor keeps in touch with other people, but the author of Clericis Laicos and Unam Sanctam, the wielder of the two swords, the papal sun of which the imperial moon was but a dim reflection, the peer of Caesar and vice-regent of Christ, was so high above other human beings that he had forgotten what they were like.

A randomization of `` ups '' and `` downs '' is more likely than ordered `` ups '' and `` downs '' in position ( 3 ) since the hydrogen atoms are well separated and so the position of one could hardly affect the position of another, and also since ordered `` up '' and `` down '' implies a larger unit cell, for which no evidence exists.

Since C is rational, this correspondence has K coincidences, each of which implies a line of the pencil which meets its image.

The respectability which money confers implies a different etiquette, and, upon taking up the life of a London gentleman, Pip must learn from Herbert Pocket that `` the spoon is not generally used over-hand, but under ''.

For example, while the axiom of choice implies that there is a well-ordering of the real numbers, there are models of set theory with the axiom of choice in which no well-ordering of the reals is definable.

This is to avoid the notion that a writing system that represents sounds must be either a syllabary or an alphabet, which implies that a system like Aramaic must be either a syllabary ( as argued by Gelb ) or an incomplete or deficient alphabet ( as most other writers have said ); rather, it is a different type.

At this stage we assume that the medium is at rest which implies that the mean velocity is zero, i. e..

Anisotropy () is the property of being directionally dependent, as opposed to isotropy, which implies identical properties in all directions.

this implies a new question, which may be of more difficult solution and explication.

Scholars have often believed that Ammianus ' work was intended for public recitation for two reasons: the overwhelming presence of accentual clausulae, which implies that it was intended to be read aloud ; and epistle 1063 of Libanius to a Marcellinus of Rome which refers to public recitations.

Assuming that the pixel color is expressed using straight ( non-premultiplied ) RGBA tuples, a pixel value of ( 0. 0, 0. 5, 0. 0, 0. 5 ) implies a pixel which has 50 % of the maximum green intensity and 50 % opacity.

Those who hold for the importance of episcopal apostolic succession appeal to the New Testament, which, they say, implies a personal apostolic succession ( from Paul to Timothy and Titus, for example ).

The name " adversarial system " may be misleading in that it implies it is only within this type of system in which there are opposing prosecution and defense.

" Love and Theft is, as the title implies, a kind of homage ," writes Kot, " never more so than on ' High Water ( for Charley Patton ),' in which Dylan draws a sweeping portrait of the South's racial history, with the unsung blues singer as a symbol of the region's cultural richness and ingrained social cruelties.

It was completed in about 731, and Bede implies that he was then in his fifty-ninth year, which would give a likely birth date of about 672 – 673.

The cosmological principle implies that the metric should be homogeneous and isotropic on large scales, which uniquely singles out the Friedmann – Lemaître – Robertson – Walker metric ( FLRW metric ).

A statement repeated throughout the book, " In those days there was no king in Israel ; every man did that which was right in his own eyes ," implies a monarchist redaction.

The epilogue, in which Judah is assigned a leadership role twice, implies pro-Judah political leanings on the part of the author.

The reverse is forward compatibility, which implies that old devices allow ( or are expected to allow ) data formats generated by new ( or future ) devices, perhaps without supporting all new features.

For this reason, activists talk about the issue of ecological debt which implies a sort of predatory economic system.

All of the earliest chordate fossils have been found in the Early Cambrian Chengjiang fauna, and include two species that are regarded as fish, which implies they are vertebrates.

Such, he implies, is the case with his friend, who is not really a new convert himself but merely a favorer of new converts.

In I knew you when you were a child, and you were pretty then dominant stress on then implies that the young woman spoken to is still pretty.

The very idea of there being `` count rules '' implies that there is some sort of proportion to be expected between the amount of congestive activity and the extent of the breakaway ( run up or run down ) movement.

In contrast to this Stoic-patristic view, Utopia implies that the nature of man is such that to rely on individual conscience to supply the deficiencies of municipal law is to embark on the bottomless sea of human sinfulness in a sieve.

The general tone of articles appearing in such important newspapers as the Manchester Guardian and the Sunday Observer implies a kindly recognition that the Catholic Church is now at least of equal stature in England with the Protestant churches.

For a randomized experiment, the assumption of unit-treatment additivity implies that the variance is constant for all treatments.

The statement of the axiom of choice does not specify whether the collection of nonempty sets is finite or infinite, and thus implies that every finite collection of nonempty sets has a choice function.

Another argument against the axiom of choice is that it implies the existence of counterintuitive objects.

The much stronger axiom of determinacy, or AD, implies that every set of reals is Lebesgue measurable, has the property of Baire, and has the perfect set property ( all three of these results are refuted by AC itself ).

" Christie strongly implies that this " quiet retreat in the Ardennes " near Spa is the Poirot family home.

it was noted by Bohr that the existence of any sort of wave packet implies uncertainty in the wave frequency and wavelength, since a spread of frequencies is needed to create the packet itself.

In states where a quantum mechanical particle is bound, it must be localized as a wave packet, and the existence of the packet and its minimum size implies a spread and minimal value in particle wavelength, and thus also momentum and energy.

Although the Greek word " techně " is often mistranslated as " art ," it actually implies mastery of any sort of craft.

The total energy of the Fermi gas at absolute zero is larger than the sum of the single-particle ground states because the Pauli principle implies a sort of interaction or pressure that keeps fermions separated and moving.

Spin statistics theorem implies that half-integer spin particles are subject to the Pauli exclusion principle, while integer-spin particles are not.

The fermionic exchange rule implies more than the exclusion of two particles from the same point: in addition, the momentum of two identical fermions can never be the same, wherever they are located.

If internal responsibility suggests acceptance of the socialist ideal of equality, then external responsibility implies adherence to principles of ideological supranationalism.

That implies that Shann was on the enemy side.

Forgiveness implies more than a person wanting his past sins covered by God's love.

It also implies that a man wants his future to be free from the mistakes of the past.

It implies two misconceptions.

:: A tendency towards reciprocity implies that people will feel obligated to respond if someone helps them.

The assumption of unit-treatment addivity implies that, for every treatment, the th treatment have exactly the same effect on every experiment unit.

" Thus Boolos and Jeffrey are saying that an algorithm implies instructions for a process that " creates " output integers from an arbitrary " input " integer or integers that, in theory, can be chosen from 0 to infinity.

The term allocution differs from distribution as distribution implies that the original party loses some kind of control over the information.

However, ZF plus GCH implies AC, making GCH a strictly stronger claim than AC, even though they are both independent of ZF.