It was possible, however, to decompose the compliance into a sum of a frequency-independent component and two viscoelastic mechanisms, each compatible with the Boltzmann superposition principle and with a consistent set of time-temperature equivalence factors.

The set of all possible equivalence classes of X by ~, denoted, is the quotient set of X by ~.

Since every equivalence relation over X corresponds to a partition of X, and vice versa, the number of possible equivalence relations on X equals the number of distinct partitions of X, which is the nth Bell number B < sub > n </ sub >:

Thus there is a natural bijection from the set of all possible equivalence relations on X and the set of all partitions of X.

* Given any set X, there is an equivalence relation over the set of all possible functions X → X.

* Equivalence partitioning, a method for devising test sets in software testing based on dividing the possible program inputs into equivalence classes according to the behavior of the program on those inputs

Using this relation, it is possible to construct a partial order on the quotient set of the equivalence, S / ~, the set of all equivalence classes of ~.

In the second part of his 1924 thesis, de Broglie used the equivalence of the mechanical principle of least action with Fermat's optical principle: " Fermat's principle applied to phase waves is identical to Maupertuis ' principle applied to the moving body ; the possible dynamic trajectories of the moving body are identical to the possible rays of the wave.

Without using countable choice, it is not possible to constructively prove the fundamental theorem of algebra for complex numbers based on the Dedekind real numbers ( which are not constructively equivalent to the Cauchy real numbers without countable choice < ref > For the minimum necessary to prove their equivalence, see Bridges, Schuster, and Richman ; 1998 ; < cite > A weak countable choice principle </ cite >; available from .</ ref >).

* 1968 – Kenneth Nordtvedt studies a possible violation of the weak equivalence principle for self-gravitating bodies and proposes a new test of the weak equivalence principle based on observing the relative motion of the Earth and Moon in the Sun's gravitational field

The Completeness theorem establishes an equivalence in first-order logic, between the formal provability of a formula, and its truth in all possible models.

The set of all possible spin networks ( or, more accurately, " s-knots "-that is, equivalence classes of spin networks under diffeomorphisms ) is countable ; it constitutes a basis of LQG Hilbert space.

Serializability of a schedule means equivalence ( in the resulting database values ) to some serial schedule with the same transactions ( i. e., in which transactions are sequential with no overlap in time, and thus completely isolated from each other: No concurrent access by any two transactions to the same data is possible ).

In this case, it is possible to design deterministic finite automaton that has one state for each equivalence class.

For practical considerations in thermodynamics or engineering, it is rarely necessary, convenient, nor even possible, to consider all energies belonging to the total intrinsic energy of a sample system, such as the energy given by the equivalence of mass.

Though is possible to define the angles by geometry, normally the intrinsic rotations equivalence or the extrinsic rotations equivalence are used instead.

When the intrinsic rotations equivalence is used to name the possible conventions of Euler Angles the names are like Z-X ’- Z ’’.

Using the equivalence between Euler angles and rotation composition, it is possible to change to and from matrix convention.

The Chow groups are defined using rational equivalence, but other equivalences are possible, and each defines a different sort of motive.

We could establish theories of possible relations between pure forms of theories, investigate these logical relations and the deductions from such general connection.

It is possible to generalize the concept to include infinitary relations between infinitudes of individuals, for example infinite sequences ; however, in this article only finitary relations are discussed, which will from now on simply be called relations.

When it becomes possible for a people to describe as ‘ postmodern ’ the décor of a room, the design of a building, the diegesis of a film, the construction of a record, or a ‘ scratch ’ video, a television commercial, or an arts documentary, or the ‘ intertextual ’ relations between them, the layout of a page in a fashion magazine or critical journal, an anti-teleological tendency within epistemology, the attack on the ‘ metaphysics of presence ’, a general attenuation of feeling, the collective chagrin and morbid projections of a post-War generation of baby boomers confronting disillusioned middle-age, the ‘ predicament ’ of reflexivity, a group of rhetorical tropes, a proliferation of surfaces, a new phase in commodity fetishism, a fascination for images, codes and styles, a process of cultural, political or existential fragmentation and / or crisis, the ‘ de-centring ’ of the subject, an ‘ incredulity towards metanarratives ’, the replacement of unitary power axes by a plurality of power / discourse formations, the ‘ implosion of meaning ’, the collapse of cultural hierarchies, the dread engendered by the threat of nuclear self-destruction, the decline of the university, the functioning and effects of the new miniaturised technologies, broad societal and economic shifts into a ‘ media ’, ‘ consumer ’ or ‘ multinational ’ phase, a sense ( depending on who you read ) of ‘ placelessness ’ or the abandonment of placelessness (‘ critical regionalism ’) or ( even ) a generalised substitution of spatial for temporal coordinates-when it becomes possible to describe all these things as ‘ Postmodern ’ ( or more simply using a current abbreviation as ‘ post ’ or ‘ very post ’) then it ’ s clear we are in the presence of a buzzword.

The three Governments agree to examine each separately in the near future in the light of the conditions then prevailing, the establishment of diplomatic relations with Finland, Romania, Bulgaria, and Hungary to the extent possible prior to the conclusion of peace treaties with those countries.

For Leibniz, then, space was an idealised abstraction from the relations between individual entities or their possible locations and therefore could not be continuous but must be discrete.

::“ Surely the utilitarian must admit that whatever the facts of the matter may be, it is logically possible that an ‘ unjust ’ system of punishment — e. g. a system involving collective punishments, retroactive laws and punishments, or punishments of parents and relations of the offender — may be more useful than a ‘ just ’ system of punishment ?”

He said Russia-Uzbek relations and possible EU development of Uzbek energy reserves were not " directly " discussed but that " one might assume in the longer run they look forward to EU investment in this area.

While not included within the public version of the report, the Royal Commission headed by Mr Justice Hope did prepare an appendix which would appear to have dealt with the possible security and foreign relations consequences of disclosure of participants ' names by The Sunday Age.

Once fuzzy relations are defined, it is possible to develop fuzzy relational databases.

Venn diagrams or set diagrams are diagrams that show all possible logical relations between a finite collection of sets ( aggregation of things ).

According to Lewis ( 1918 ), the " principle of these diagrams is that classes set ( mathematics ) | set s be represented by regions in such relation to one another that all the possible logical relations of these classes can be indicated in the same diagram.

Only when religion impinged directly on imperial policy, as in relations with the papacy and the possible union of the Greek and Latin churches, did John take an active part.

Although Israel does not have diplomatic or official trade relations with Djibouti ( a member of the Arab League ), following a meeting between officials of both countries in September 1995, plans were then announced to open liaison offices in the respective countries ’ capitals, prior to the possible establishment of diplomatic relations between the two states.

The authors have also discussed elements of anarchism in the field of politics, polyculturalism in the field of culture, and feminism in the field of family and gender relations as being possible foundations for future alternative visions in these other spheres of society.

His role was to be available to be consulted by any member or former member of the security and intelligence services who had " anxieties relating to the work of his or her service " that it had not been possible to allay through the ordinary processes of management-staff relations, including proposals for publications.

A free magma on a set is the " most general possible " magma generated by the set ( that is there are no relations or axioms imposed on the generators ; see free object ).

It is possible to suppose that the word ianitrix may at its origin have issued from the cult of Janus, which could have given special functions to women married to the two undivisible companions while later it got fixed to a special sense of relations.

Others, badly wounded, gripped hands in manes, knees in bellies, held on as long as possible and then, weak from ghastly wounds, slipped sideways, slowly, almost thoughtfully, to be broken under the slashing hoofs.

Squatting on our haunches beside the flat stone we broke them on, we were safe behind the high closed gates at the end of the drive: safe from interruption and the observation and possible amusement of the passers-by.

The first of two possible variations on this theme is symbolized by Mickey Spillane's Mike Hammer.

Despite the rejection of the traditional accounts on many points of detail, as late as 1948 it was still possible to postulate a massive and comparatively sudden ( beginning in ca. 450 ) influx of Germans as the type of invasions.

Affirmatively Baker worked on the premise that `` young men spontaneously prefer to be decent, and that opportunities for wholesome recreation are the best possible cure for irregularities in conduct which arise from idleness and the baser temptations ''.

These biographical analogies are obvious, and far too much time has been spent speculating on their possible implications.

The Charter does stipulate that `` due regard '' shall be paid to the importance of recruiting the staff on `` as wide a geographical basis as possible ''.

The widespread purge that has taken place the past twelve months or so among Communist leaders in the provinces gives assurance that the party officials who will dominate the Congress, and the Central Committee it will elect, will all have passed the tightest possible Khrushchev screening, both for loyalty to him and for competence and performance on the job.

These gentlemen are calling for a resumption of testing -- in the atmosphere -- on the greatest possible scale, all in the name of national security.

Whether the compromises -- on both sides -- that made possible the interim appointment can then be repeated remains to be seen.

Suggest the following twenty-first-century amendment: By moving the term `` Republic '' to lower case, substituting the modern phrase, `` move ahead '' for the stodgy `` keep '', and by using the Postmaster's name on every envelope ( in caps, of course, with the `` in spite '' as faded as possible ), the slogan cannot fail.

It was hardly possible to get any argument on the subject.

In still others which are barely on the threshold of the transition into modernity, the decade can bring significant progress in launching the slow process of developing their human resources and their basic services to the point where an expanded range of developmental activities is possible.

Since the validity of all subsequent planning depends on the accuracy of the basic inventory information, great care is being taken that the inventory is as complete as possible.

Armed Forces Day is the annual report on this investment, a public presentation designed to give our own people, and the people of other lands who stand with us for peace with freedom and justice, the best possible opportunity to see and understand what we have and why we have it.

Nor would it be possible in many cases for them to live in health or any effectiveness on what their counterparts abroad are paid.

With the existence of these many factors, some of them variable, it obviously has never been and is not now possible for the Commission to make assignments of AM stations on a case-to-case basis which will insure against any interference in any circumstances.

In the daytime, on the other hand, since skywave transmission is relatively inefficient, it is possible to assign a substantially larger number of stations on these channels.

They were put on control diets to determine as accurately as possible, the normal cholesterol level of their blood.

Steinberg seems to have gone directly back to the score, discounting tradition, and has built his performance on the intention to reproduce as faithfully as possible exactly what Brahms set down on paper.

Designers and manufacturers have produced models for purchasers who run the gamut from a nautical version of the elderly Pasadena lady who never drove more than five miles an hour on her once-a-month ride around the block, to the sportiest boatman who insists on all the dash, color, flair and speed possible to encompass in a single boat.