In reality, the differential “ selection ” of a trait, or an adaptation, is a consequence of the functional effects it produces in relation to the survival and reproductive success of a given organism in a given environment.

An even more elegant proof is a consequence of the law about total differentials, which states that the total differential,

Self-exciting oscillations are a logical consequence of systems which are described by a closed loop of time-lagged differential equations, i. e. where a change in variable N is driven by a change in variable N + 1 but only after a time delay, a change in variable N + 1 is driven by a change in variable N + 2 but only after a time delay, … a change in variable N is driven by a change in variable N + x but only after a time delay.

A consequence, called Schaefer's fixed point theorem, is particularly useful for proving existence of solutions to nonlinear partial differential equations.

In differential geometry, the holonomy of a connection on a smooth manifold is a general geometrical consequence of the curvature of the connection measuring the extent to which parallel transport around closed loops fails to preserve the geometrical data being transported.

In the clinical setting, the principal difficulties in differential diagnosis arise as a consequence of the very early age at which patients with this condition first present.

But taking account of the twice-contracted and detraced Bianchi identity, a differential identity which holds for the Riemann tensor in any ( semi )- Riemannian manifold, we see that in Nordström's theory, as a consequence of the field equations, we have the first-order covariant differential equation

Most hypotheses propose that the angle of subduction became shallow, and as a consequence, no magmatism occurred in the central west of the continent, and the underlying oceanic lithosphere actually caused drag on the root of the overlying continental lithosphere.

Wingtip vortices are associated to induced drag, an unavoidable consequence of three-dimensional lift generation.

He claims that Copernicus arrived at the Earth's true relation to the Sun not as a consequence of following a method, but via " the greater intellectual satisfaction he derived from the celestial panorama as seen from the Sun instead of the Earth.

At a meeting in Balamand, Lebanon in June 1993, the Joint International Commission for the Theological Dialogue between the Catholic Church and the Orthodox Church declared that these initiatives that " led to the union of certain communities with the See of Rome and brought with them, as a consequence, the breaking of communion with their Mother Churches of the East … took place not without the interference of extra-ecclesial interests "; and that what has been called " uniatism " " can no longer be accepted either as a method to be followed nor as a model of the unity our Churches are seeking " ( section 12 ).

Furthermore, Gore argued that the consequence of ruling the Florida recount unconstitutional simply because it treated different voters differently would effectively render every state election unconstitutional and that each method has a different rate of error in counting votes.

There was something in these complaints, and as a consequence the date of the general election for the first republican Reichstag was hastened and was fixed for the following June, while all attempts to change the method of election for the presidency of the Republic were abandoned.

If a software writer uses a polymorphic method at all, this design pattern may be a rather natural consequence.

Boats, as a consequence, remained the primary method of moving people and materials around Bermuda well into the 20th Century.

A consequence of the change from single-Councillor to multi-Councillor wards was a change in election method from preferential voting to proportional representation.

This has the consequence that the method will fail for n > 3200 or so.

Nagarjuna and later commentators use the method of logical consequence ( prasanga in Sanskrit ) to refute flawed views.

A theory ( set of formulas closed under logical consequence ) in a fixed logical system is decidable if there is an effective method for determining whether arbitrary formulas are included in the theory.

) In such cases, alternative definitions of decidability of a logical system are often used, which ask for an effective method for determining something more general than just validity of formulas ; for instance, validity of sequents, or the consequence relation

This method which puts aside state reason is not without any consequence: the fact that state reason is not taken into account by legal science is to be integrated within a global rejection of a description of law as presented in political science.

As a consequence of this necessity, they intend to turn Jupiter into a carefully formed singularity and use the precisely specified parameters as a method of encoding information.

Shepard's method is a consequence of minimization of a functional related to a measure of deviations between tuples of interpolating points

This is of little consequence as it is the personal learning aspects that are important to this method.

Einstein ( 1907a ) proposed a method for detecting the Transverse Doppler effect as a direct consequence of time dilation.

It is a consequence in part of his conformity to their method and his attention to administrative applications that his treatise was found peculiarly adapted for the use of the official class and long maintained its position as their special textbook.

But the method of allocating a value to it is a consequence of the result that Maxwell's equations predict that, in free space, electromagnetic waves move with the speed of light.

It is the consequence of the system of ideas that constitutes the frame of our international -- and in some degree our domestic -- policy.

One consequence is the occurrence of occasional conflicts because private owners of some inholdings object to public programs of use on neighboring National Forest or other Federal land, or because such ownerships are developed for uses that are not compatible with use for the public of neighboring National Forest land.

In the event the total of rupees accruing to the Government of the United States of America as a consequence of sales made pursuant to this Agreement is different from the rupee equivalent of $1,276 million, the amounts available for the purposes specified in paragraph 1, Article 2, will be adjusted proportionately.

According to the theory proposed, this is a consequence of the severe condition of perceived threat that persists unabated for the anxious child in an ambiguous sort of school environment.

) Functionalism as a sociological credo is, therefore, not a direct consequence of observations, but rather an indirect consequence of philosophical inference and judgment.

The consequence of this is that the girls at Brooklyn College outnumber the boys and do somewhat better academically.

This last point is important because if high school pupils are aware that few, if any, graduates who have chosen a certain vocational program have obtained a job as a consequence of the training, the whole idea of relevance disappears.

Existence is created and willed by God and is not the consequence of a pre-existent rebellion or of a cosmic descent from eternity into history.

Nevertheless, the consequence of the policy proposed is everywhere subtly qualified: it is `` a possible result, however improbable '' ; ;

:: One consequence is that people are more cooperative if it is more likely that individuals will interact again in the future.

A simple illustration of such cause and effect is the case of experiencing the effects of what I cause: if I cause suffering, then as a natural consequence I will experience suffering ; if I cause happiness, then as a natural consequence I will experience happiness.

As a consequence, it is difficult to define concisely or precisely.

Each element has a specific set of chemical properties as a consequence of the number of electrons present in the neutral atom, which is Z ( the atomic number ).

A consequence of using waveforms to describe particles is that it is mathematically impossible to obtain precise values for both the position and momentum of a particle at the same time ; this became known as the uncertainty principle, formulated by Werner Heisenberg in 1926.

that is, for any statement that is a logical consequence of there actually exists a deduction of the statement from.

One consequence of the Hindu and Spiritist beliefs is that our current lives are both afterlife and a beforelife.

The outer surface of an agate, freed from its matrix, is often pitted and rough, apparently in consequence of the removal of the original coating.

As a consequence, the balance of anti-apoptotic and proapoptotic effectors is upset in favour of the former, and the damaged cells continue to replicate despite being directed to die.