The development of strong administrative structures, in particular those related to extraction of taxes, is closely associated with the intense warfare between predatory European states in the 17th and 18th centuries, or in Charles Tilly's famous formulation: " War made the state and the state made war ".

As a result of the notion of sovereignty, the value and authority of international law is dependent upon the voluntary participation of states in its formulation, observance, and enforcement.

The principle should not be confused with the principle of bivalence, which states that every proposition is either true or false, and has only a semantical formulation.

In the mathematically rigorous formulation of quantum mechanics developed by Paul Dirac David Hilbert, and John von Neumann, the possible states of a quantum mechanical system are represented by unit vectors ( called " state vectors ").

An alternative formulation of quantum mechanics is Feynman's path integral formulation, in which a quantum-mechanical amplitude is considered as a sum over all possible histories between the initial and final states.

In its most general formulation, quantum mechanics is a theory of abstract operators ( observables ) acting on an abstract state space ( Hilbert space ), where the observables represent physically observable quantities and the state space represents the possible states of the system under study.

FDA label information for Vidaza, a formulation of 5-azacitidine ( an unmethylatable analog of cytidine that causes hypomethylation when incorporated into DNA ) states that " men should be advised not to father a child " while using the drug, citing evidence in treated male mice of reduced fertility, increased embryo loss, and abnormal embryo development .< ref >

An equivalent formulation states that for any ε > 0, there exists a constant K such that, for all triples of coprime positive integers ( a, b, c ) satisfying a + b = c, the inequality

This relative state formulation, where all states ( sets of measures ) can only be measured relative to other such states, avoids a number of problems in quantum theory, including the original duality – no collapse takes place, the indeterminacy simply grows ( or moves ) to a larger system.

Lovelock states that the initial formulation was based on observation, but still lacked a scientific explanation.

Moreover, in the usual formulation of classical action principles, the initial and final states of the system are fixed, e. g.,

Por la Gracia de Dios is a technical, legal formulation which states sovereign dignity in absolute monarchies, and had only been used by monarchs before Franco used it himself.

In the mathematical formulation of quantum mechanics, states are given by non-zero vectors in a Hilbert space V ( where two vectors are considered to specify the same state if, and only if, they are scalar multiples of each other ) and observables are given by self-adjoint operators on V. However, as indicated below, not every self-adjoint operator corresponds to a physically meaningful observable.

One formulation of the theorem states that the Lie derivative of this volume form is zero along every Hamiltonian vector field.

For example, it is consistent with global mental – physical supervenience on the simple formulation described above for two worlds to have the same number of people in the same physical states, but for the mental states to be distributed over those people in different ways ( e. g. I have my father's thoughts in the other world, and he has my thoughts ).

The supporters of the Open Letter read this to suggest there would be " centuries of deformed workers states ", and this phrase is often mistaken attributed to Pablo or to his formulation of what was called the war-revolution thesis.

In the C *- algebraic formulation of quantum mechanics, states in this previous sense correspond to physical states, i. e. mappings from physical observables to their expected measurement outcome.

The equicontinuity appears in the formulation of Ascoli's theorem, which states that a subset of C ( X ), the space of continuous functions on a compact Hausdorff space X, is compact if and only if it is closed, pointwise bounded and equicontinuous.

Moreover when such clauses are agreed upon the formulation is legally very imprecise, enabling investors to take great liberties and making it difficult for host states to predict the limits of their rights and obligations.

In the automata formulation, the Krohn – Rhodes theorem for finite automata states that given a finite automaton A with states Q and input set I, output alphabet U, then one can expand the states to Q ' such that the new automaton A ' embeds into a cascade of " simple ", irreducible automata: In particular, A is emulated by a feed-forward cascade of ( 1 ) automata whose transitions semigroups are finite simple groups and ( 2 ) automata which are banks of flip-flops running in parallel.

For example, a defender of evolution may well accept that the current formulation of evolutionary theory is likely to be revised in the future, but she defends evolution because she believes current evolutionary theory is more likely than any current rival idea, such as Creationism.

The current formulation was finalized in the mid 1970s upon experimental confirmation of the existence of quarks.

If the current has some thickness, the proper formulation of the Biot – Savart law ( again in SI units ) is:

Loop quantum gravity ( LQG ), in its current formulation, predicts no additional spatial dimensions, nor anything else about particle physics.

The current programmes of the Colombo Plan are in the areas of public policy formulation in an environment of globalisation and market economy, private sector development as a prime mover for growth and in drug abuse and prevention in member countries.

We can find the higher-order deviations by a similar procedure, though the calculations become quite tedious with our current formulation.

Malle ( 2011 ) argues that this favors the alternative theoretical formulation, but current textbooks have not yet fully addressed this theoretical challenge.

In its current formulation, the index comprises a team's winning percentage ( 25 %), its opponents ' winning percentage ( 50 %), and the winning percentage of those opponents ' opponents ( 25 %).

In Guru Arjan by whose time the formulation Vahiguru appears to have become current and acquired distinctiveness as the Name Divine, the phrase ‘ Gur Vahu ’ figures in Asa measure ( GG, 376 ).

In its current formulation Red Stripe is 4. 7 % alcohol by volume.

The current lager formulation was first produced in 1938 from a recipe developed by Paul H. Cotter ( the son of founder E. P. Cotter ) and Bill Martindale.

In one empirical formulation, velocity was taken to be “ the ratio of net national product in current prices to the money stock ”.

He thinks that the current formulation, based on Justice Holmes ' conception of free speech as a marketplace “ disserves the aspirations of those who wrote America ’ s founding document .” The purpose of this reformulation would be to “ reinvigorate processes of democratic deliberation, by ensuring greater attention to public issues and greater diversity of views .” He is concerned by the present “ situation in which like-minded people speak or listen mostly to one another ,” and thinks that in “ light of astonishing economic and technological changes, we must doubt whether, as interpreted, the constitutional guarantee of free speech is adequately serving democratic goals .” He proposes a “ New Deal for speech would draw on Justice Brandeis ' insistence on the role of free speech in promoting political deliberation and citizenship .”

The current version of the vaccine is called CAIV-T, and is stable for storage in a refrigerator, rather than requiring freezer storage as did the originally-approved formulation.

) This means that TPO remains largely unproven in real world applications as its current formulation exists today.

The current formulation of Roccal also includes tributyltin oxide.

Sparks ' current formulation does not contain caffeine or taurine.

Abdalqadir as-Sufi advocates adherence to the original legal school of Islam, the Amal of Ahl-ul-Madinah as recorded by Malik ibn Anas, since, as discussed at length in his seminal work Root Islamic Education, he considers this the primal formulation of Islamic society and a necessity for the re-establishment of Islam in the current age.

The Ecumenical Council of Nicea AD 325 was convened by Constantine under the presidency of Saint Hosius of Cordova and Pope Saint Alexander I of Alexandria to resolve the dispute and eventually led to the formulation of the Symbol of Faith, also known as the Nicene Creed.

The earliest formulation of the self in modern psychology form the distinction between the self as I, the subjective knower, and the self as Me, the object that is known.

While it is possible to modify the properties of drug substances ~ by particle engineering, this is usually outside the scope of the formulator, an I the formulation must be designed to accommodate the limitations imposed by the drug substance.

" Missexual " is definitely the best formulation I have seen.

: i. e., " In those weeks, I truly entered into the spirit of Islam to such an extent that ultimately I became inwardly convinced that I myself was a Muslim, and judiciously discovered that this was the only religion which, even in its doctrinal and official formulation, can satisfy philosophic minds.

The earliest formulation of the self in modern psychology derived from the distinction between the self as I, the subjective knower, and the self as Me, the object that is known.

This also means " I was there yesterday ", but just as it is the case for English constructions with the present perfect simple, this kind of formulation puts more emphasis on the " being finished "- aspect.

After the formulation of the Nicene Creed, its initial liturgical use was in baptism, which explains why the text uses the singular " I ... instead of " we ...." The text was gradually incorporated into the liturgies, first in the east and in Spain, and gradually into the north, from the sixth to the ninth century.

In his formulation of syllogistic propositions, instead of the copula (" All / some ... are / are not ..."), Aristotle uses the expression, "... belongs to / does not belong to all / some ..." or "... is said / is not said of all / some ..." There are four different types of categorical sentences: universal affirmative ( A ), particular affirmative ( I ), universal negative ( E ) and particular negative ( O ).

Although the author's name is nowhere given in the text, the writer was traditionally believed to be King Solomon because of references such as that found in IX: 7-8, " Thou hast chosen me to be a king of thy people, and a judge of thy sons and daughters: Thou hast commanded me to build a temple upon thy holy mount ..." The formulation here is similar to that of Ecclesiastes I: 12, " I, Koheleth, was king in Jerusalem over Israel ," which also fails to denote Solomon by name, but leaves no doubt as to whom the reader should identify as the author.

The claim of descent from Menelik I is based on the assertion that the kings of Axum were also the descendants of Menelik I ; its definitive and best-known formulation is set forth in the Kebra Nagast.

During World War I this was replaced by a revised formulation that was easier to produce called Cordite RDB.

It was taken up by many other researchers, including Harold Davenport and I. M. Vinogradov, who modified the formulation slightly ( moving from complex analysis to exponential sums ), without changing the broad lines.

Later, I. M. Vinogradov extended the technique, replacing the exponential sum formulation f ( z ) with a finite Fourier series, so that the relevant integral I < sub > n </ sub > is a Fourier coefficient.

The basic principles of the Pentarchy theory, which, according to the Byzantinist historian Milton V. Anastos, " reached its highest development in the period from the eleventh century to the middle of the fifteenth ", go back to the 6th-century Justinian I, who often stressed the importance of all five of the patriarchates mentioned, especially in the formulation of dogma.

' From that very time I made sure to remember that I must convey this wonderful formulation of the social plight of Yiddish to a large audience.