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.

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.

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.

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.

For Chicanos, the term usually implies being " neither from here, nor from there " in reference to the US and Mexico.

Regarding his attitude towards the Holy See, although with Celtic warmth and flow of words he could defend mere custom, there is nothing in his strongest expressions which implies that he for a moment doubted Rome's supreme authority.

Therefore, it is clear there is no real consensus of what the term crannog actually implies, although the modern adoption in the English language broadly refers to a partially or completely artificial islet which saw use from the prehistoric to the Post-Medieval period in Ireland and Scotland.

The three classes are groups of GF ( 2 ) type ( classified mainly by Timmesfeld ), groups of " standard type " for some odd prime ( classified by the Gilman – Griess theorem and work by several others ), and groups of uniqueness type, where a result of Aschbacher implies that there are no simple groups.

Even more important: a difference generally implies positive terms between which the difference is set up ; but in language there are only differences without positive terms.

The stability of the dynamical system implies that there is a class of models or initial conditions for which the trajectories would be equivalent.

If we allow to incorporate the algebraic sign, this becomes a sum and implies that there is a function of state which is conserved over a complete cycle.

A porosity of 0 implies that there are no voids in the soil.

The classification by colour implies that there is a difference between the red ones ( which contain tomato ), the white ones ( which contain no tomato, but include dried fruits ) and the green ones ( which are white but cointain some spices that make them green ).

Yet there is a nucleation barrier, which implies an interfacial discontinuity ( or internal surface ) between the glass and the melt.

The decaying, ruined scenery implies that at one time there was a thriving world.

And although temporal coherence implies monochromaticity, there are even lasers that emit a broad spectrum of light, or emit different wavelengths of light simultaneously.

" The road up and down are one and the same " implies either the road leads both ways, or there can be no road at all.

* While the theory correctly reasons that deflection implies that there must be a force on the wing, it does not explain why the air is deflected.

This implies that there are many buyers and sellers in the market and none of them have the capacity to significantly influence prices of goods and services.

" Musicologist Jean-Jacques Nattiez summarizes the relativist, post-modern viewpoint: " The border between music and noise is always culturally defined — which implies that, even within a single society, this border does not always pass through the same place ; in short, there is rarely a consensus ... By all accounts there is no single and intercultural universal concept defining what music might be.

This assumption implies that there are low start up costs, no sunk costs and no exit costs.

Of course, such an epistemological view implies that there are moral beliefs with propositional contents ; so it implies cognitivism.

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

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

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 ''.

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.

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.

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 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 ''.

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 ).

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.

" 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.

This implies the number of particles in an area of space is not a well-defined quantity but, like other quantum observables, is represented by a probability distribution.

The local triviality also implies the existence of a well-defined fiber ( up to homeomorphism ), at least on each connected component of B.

Conversely, if a character is presented only with well-defined goal conditions during the entire ' story ', this implies a lack of emotional ambivalence during decision-making which denies the possibility of input to theme.

The definition of the Myhill – Nerode relation implies that the transition function is well-defined: no matter which representative string x is chosen for state X, the same transition function value will result.