This equation shows that the UNTB implies a nontrivial dominance-diversity equilibrium between speciation and extinction.

UNTB distinguishes between a dispersal-limited local community of size and a so called metacommunity from which species can ( re ) immigrate and which acts as a heat bath to the local community.

The UNTB predicts that the probability of a community of J individuals composed of S distinct species with abundances for species 1, for species 2, and so on up to for species S is given by

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.

That implies the several individual states to be interconnected in such a way, that they still keep their own sovereignty ; but the resulting compound also has state-character ( Bundesstaat ).

As the name implies, comic strips can be humorous ( for example, " gag-a-day " strips such as Blondie, Bringing Up Father, Marmaduke and Pearls Before Swine ).

This implies that for each natural number n, the set of sequences f in Cantor space such that f ( n )

" The criticism is that the idea of " traditional society " is simply a catch all term for early non-Western society and implies that all such societies are similar.

" Refusing to give a literal reading to the state-granted charter of the Southern Pacific Railroad, which specified that the company could " collect and receive such tariffs ... as it may prescribe, Hughes contended that this clause " necessarily implies that the charges shall be reasonable and does not detract from the power of the State ... to prescribe reasonable rates.

However, while bitheism implies harmony, ditheism implies rivalry and opposition, such as between good and evil, or bright and dark, or summer and winter.

In organic compounds, such as butane or ethanol, the loss of hydrogen implies oxidation of the molecule from which it is lost ( and the hydrogen is reduced ).

The non-existence of such an algorithm, established by Yuri Matiyasevich in 1970, also implies a negative answer to the Entscheidungsproblem.

The term implies acquisition of information by means external to the basic limiting assumptions of science, such as that organisms can only receive information from the past to the present.

For example, it implies the existence of black holes — regions of space in which space and time are distorted in such a way that nothing, not even light, can escape — as an end-state for massive stars.

As the title, Doubts on Galen by Rhazes implies, as well as the writings of physicians such as Ibn Zuhr ( Avenzoar ) and Ibn al-Nafis, the works of Galen were not accepted unquestioningly, but as a challengeable basis for further inquiry.

Reducing light pollution implies many things, such as reducing sky glow, reducing glare, reducing light trespass, and reducing clutter.

There are exceptions within subjectivism however, such as ideal observer theory, which implies that moral facts may be known through a rational process, and individualist ethical subjectivism, which holds that moral facts are merely personal opinions and so may be known only through introspection.

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

* The earliest such reference occurs in 1589 when Thomas Nashe in his introduction to Robert Greene's Menaphon implies the existence of an early Hamlet: " English Seneca read by candle-light yields many good sentences, as Blood is a begger, and so forth ; and if you entreat him fair in a frosty morning, he will afford you whole Hamlets, I should say handfuls of tragical speeches.

According to them, Sonnet 91 ( which compares the Fair Youth's love to such treasures as high birth, wealth, and horses ) implies that the author is in a position to make such comparisons, and the ' high birth ' he refers to is his own.

In response to questions of a deity performing impossibilities ( such as making square circles ) Aquinas says that " Nothing which implies contradiction falls under the omnipotence of God.

This also implies that all members belong to the same species, such as humans.

Specific phobias are nouns such as arachnophobia or acrophobia which, as the name implies, are specific, and social phobia are phobias within social situations such as public speaking and crowded areas.

This implies that, for public goods without strong special interest support, under-provision is likely since benefit-cost analyses are being conducted at the wrong income levels, and all of the ungenerated income would have been spent on the public good, apart from general equilibrium considerations.

While the making of any article of clothing or other wearable object typically involves aesthetic considerations, the term wearable art implies that the work is intended to be accepted as a serious and unique artistic creation or statement.

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

He shows how a satisfying argument for the validity of experience can be based neither on demonstration ( since " it implies no contradiction that the course of nature may change ") nor experience ( since that would be a circular argument ).

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.

Its name implies associations dating back to the time of Columba and, although undocumented before the 12th century, it may have served the monks of the Columban family as an ' Iona of the east ' from early times.

Tacitus ' statement that they were " German in their way of life and types of dwelling " implies a sedentary bias, but their close relations with the Sarmatians, who were nomadic, may indicate a more nomadic lifestyle, as does the wide geographical range of their attested inhabitation.

The Church's official recognition of sanctity implies that the persons are now in heavenly glory, that they may be publicly invoked and mentioned officially in the liturgy of the Church, most especially in the Litany of the Saints.

The doctrine implies that any attempt to depose the king or to restrict his powers runs contrary to the will of God and may constitute a sacrilegious act.

The doctrine implies that any attempt to depose the king or to restrict his powers runs contrary to the will of God and may constitute a sacrilegious act.

The above definition implies this one: the upper bound of the empty subset is any existing element of A, because A is nonempty ; furthermore, as provable with an induction argument over the size of nonempty finite subsets, the upper bound of a finite subset may be obtained by finding upper bounds of pairs iteratively.

For example, an exterior shot of a building at night followed by an interior shot of people talking implies that the conversation is taking place at night inside that building-the conversation may in fact have been filmed on a studio set far from the apparent location, because of budget, permits or time limitations.

Eusebius ' description of his own method —" I shall collect the entries from the whole of the divinely inspired Scriptures, and I shall set them out grouped by their initial letters so that one may easily perceive what lies scattered throughout the text "— implies that he had no similar type of book to work from ; his work was entirely original, based only on the text of the Bible.

This implies that ICQ Inc. may publish, distribute etc.

This, in turn, implies a privileged direction, which we may call " time ".

Emergency insertion of a copper IUC is significantly more effective than the use of ECPs, reducing the risk of pregnancy following unprotected intercourse by more than 99 %.< sup > 2, 3 </ sup > This very high level of effectiveness implies that emergency insertion of a copper IUC must prevent some pregnancies after fertilization. Emergency contraceptive pillsTo make an informed choice, women must know that ECPs — like the birth control pill, patch, ring, shot, and implant ,< sup > 76 </ sup > and even like breastfeeding < sup > 77 </ sup >— prevent pregnancy primarily by delaying or inhibiting ovulation and inhibiting fertilization, but may at times inhibit implantation of a fertilized egg in the endometrium.

Conversely we have a b if and only if a < b or a ~ b. This is the reason for using the notation ""; "≤" can be confusing for a preorder that is not anti-symmetric, it may suggest that a ≤ b implies that a < b or a

This " induced neurons " ( iN ) cell research inspires the researchers to induce other cell types implies that all cells are totipotent: with the proper tools, all cells may form all kinds of tissue.

The play implies that when they parted Desirée may have been pregnant with his child.

He argued that in the same way a watch's complexity implies the existence of its maker, so too one may infer the Creator of the universe exists, given the evident complexity of Nature.

" An important distinction between the vesting clause in Article I and this vesting clause is that this one is plenary ( i. e., it implies the power of the executive may fall in line with what other " executives " around the world at the time could do ), whereas the power vested in Article I is subject to limits to be outlined in later sections.

The early Christian practice of converting Roman basilica ( public buildings ) into cathedrals implies the basilica may be incorporated into the cathedral located in Fano.

A yacht may also be a ' cruiser-racer ', which as the name implies is a blend between the cruiser and racing variants.

The term bi-curious implies that the individual has either no or limited homosexual experience in the case of " heterosexual " individuals or no or limited heterosexual experience in the case of " homosexuals ", but may continue to self-identify as bi-curious if they do not feel they have adequately explored these feelings, or if they do not wish to identify as bisexual.